Skip to main content
Erschienen in: OR Spectrum 1/2017

01.02.2016 | Regular Article

Simultaneous lotsizing and scheduling problems: a classification and review of models

verfasst von: Karina Copil, Martin Wörbelauer, Herbert Meyr, Horst Tempelmeier

Erschienen in: OR Spectrum | Ausgabe 1/2017

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The current paper presents a structured overview over the literature on dynamic simultaneous lotsizing and scheduling problems. We introduce a classification scheme, review the historical development of research in this area and identify recent developments. The main contribution of the present review is the discussion of the historical development of the body of knowledge in the field of simultaneous lotsizing and scheduling and the identification of recent trends. This helps to reveal research opportunities, but it can also be helpful in the selection of appropriate models for industrial applications.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Fußnoten
1
In the tables shown below, a field will be left empty if it is not possible to identify the value of the attribute.
 
2
See Buschkühl et al. (2010), pp. 243–244.
 
3
Note the erratum Brüggemann and Jahnke (2000b).
 
4
The model formulation is incomplete, but an example is mentioned.
 
5
Which can be mitigated as, for example, Seeanner (2013), p. 148 has shown.
 
Literatur
Zurück zum Zitat Almada-Lobo B, Carravilla MA, Oliveira JF (2008) Production planning and scheduling in the glass container industry: a VNS approach. Int J Prod Econ 114(1):363–375CrossRef Almada-Lobo B, Carravilla MA, Oliveira JF (2008) Production planning and scheduling in the glass container industry: a VNS approach. Int J Prod Econ 114(1):363–375CrossRef
Zurück zum Zitat Almada-Lobo B, James RJW (2010) Neighbourhood search meta-heuristics for capacitated lot-sizing with sequence-dependent setups. Int J Prod Res 48(3):861–878CrossRef Almada-Lobo B, James RJW (2010) Neighbourhood search meta-heuristics for capacitated lot-sizing with sequence-dependent setups. Int J Prod Res 48(3):861–878CrossRef
Zurück zum Zitat Almada-Lobo B, Klabjan D, Carravilla MA, Oliveira JF (2007) Single machine multi-product capacitated lot sizing with sequence-dependent setups. Int J Prod Res 45(20):4873–4894CrossRef Almada-Lobo B, Klabjan D, Carravilla MA, Oliveira JF (2007) Single machine multi-product capacitated lot sizing with sequence-dependent setups. Int J Prod Res 45(20):4873–4894CrossRef
Zurück zum Zitat Almada-Lobo B, Klabjan D, Carravilla MA, Oliveira JF (2010) Multiple machine continuous setup lotsizing with sequence-dependent setups. Comput Optim Appl 47(3):529–552CrossRef Almada-Lobo B, Klabjan D, Carravilla MA, Oliveira JF (2010) Multiple machine continuous setup lotsizing with sequence-dependent setups. Comput Optim Appl 47(3):529–552CrossRef
Zurück zum Zitat Almeder C, Almada-Lobo B (2011) Synchronisation of scarce resources for a parallel machine lotsizing problem. Int J Prod Res 49(24):7315–7335CrossRef Almeder C, Almada-Lobo B (2011) Synchronisation of scarce resources for a parallel machine lotsizing problem. Int J Prod Res 49(24):7315–7335CrossRef
Zurück zum Zitat Almeder C, Klabjan D, Traxler R, Almada-Lobo B (2015) Lead time considerations for the multi-level capacitated lot-sizing problem. Eur J Oper Res 241(3):727–738CrossRef Almeder C, Klabjan D, Traxler R, Almada-Lobo B (2015) Lead time considerations for the multi-level capacitated lot-sizing problem. Eur J Oper Res 241(3):727–738CrossRef
Zurück zum Zitat Amorim P, Antunes CH, Almada-Lobo B (2011) Multi-objective lot-sizing and scheduling dealing with perishability issues. Ind Eng Chem Res 50(6):3371–3381CrossRef Amorim P, Antunes CH, Almada-Lobo B (2011) Multi-objective lot-sizing and scheduling dealing with perishability issues. Ind Eng Chem Res 50(6):3371–3381CrossRef
Zurück zum Zitat Amorim P, Günther H-O, Almada-Lobo B (2012) Multi-objective integrated production and distribution planning of perishable products. Int J Prod Econ 138(1):89–101CrossRef Amorim P, Günther H-O, Almada-Lobo B (2012) Multi-objective integrated production and distribution planning of perishable products. Int J Prod Econ 138(1):89–101CrossRef
Zurück zum Zitat Amorim P, Pinto-Varela T, Almada-Lobo B, Barbósa-Póvoa APFD (2013) Comparing models for lot-sizing and scheduling of single-stage continuous processes: Operations research and process systems engineering approaches. Comput Chem Eng 52:177–192CrossRef Amorim P, Pinto-Varela T, Almada-Lobo B, Barbósa-Póvoa APFD (2013) Comparing models for lot-sizing and scheduling of single-stage continuous processes: Operations research and process systems engineering approaches. Comput Chem Eng 52:177–192CrossRef
Zurück zum Zitat Aras O, Swanson L (1982) A lot sizing and sequencing algorithm for dynamic demands upon a single facility. J Oper Manag 2(3):177–185CrossRef Aras O, Swanson L (1982) A lot sizing and sequencing algorithm for dynamic demands upon a single facility. J Oper Manag 2(3):177–185CrossRef
Zurück zum Zitat Babaei M, Mohammadi M, Ghomi SMTF (2014) A genetic algorithm for the simultaneous lot sizing and scheduling problem in capacitated flow shop with complex setups and backlogging. Int J Adv Manuf Technol 70(1–4):125–134CrossRef Babaei M, Mohammadi M, Ghomi SMTF (2014) A genetic algorithm for the simultaneous lot sizing and scheduling problem in capacitated flow shop with complex setups and backlogging. Int J Adv Manuf Technol 70(1–4):125–134CrossRef
Zurück zum Zitat Baker T, Muckstadt J Jr (1989) The CHES problems. Chesapeake Decision Sciences Inc, Tech. rep Baker T, Muckstadt J Jr (1989) The CHES problems. Chesapeake Decision Sciences Inc, Tech. rep
Zurück zum Zitat Baldo TA, Santos MO, Almada-Lobo B, Neto RM (2014) An optimization approach for the lot sizing and scheduling problem in the brewery industry. Comput Ind Eng 72:58–71CrossRef Baldo TA, Santos MO, Almada-Lobo B, Neto RM (2014) An optimization approach for the lot sizing and scheduling problem in the brewery industry. Comput Ind Eng 72:58–71CrossRef
Zurück zum Zitat Brüggemann W, Fischer K, Jahnke H (2003a) Problems, models and complexity. Part I: theory. J Math Model Algorithms 2(2):121–151CrossRef Brüggemann W, Fischer K, Jahnke H (2003a) Problems, models and complexity. Part I: theory. J Math Model Algorithms 2(2):121–151CrossRef
Zurück zum Zitat Brüggemann W, Fischer K, Jahnke H (2003b) Problems, models and complexity. Part II: application to the DLSP. J Math Model Algorithms 2(2):153–169CrossRef Brüggemann W, Fischer K, Jahnke H (2003b) Problems, models and complexity. Part II: application to the DLSP. J Math Model Algorithms 2(2):153–169CrossRef
Zurück zum Zitat Brüggemann W, Jahnke H (1994) DLSP for two-stage multi-item batch production. Int J Prod Res 32(4):755–768CrossRef Brüggemann W, Jahnke H (1994) DLSP for two-stage multi-item batch production. Int J Prod Res 32(4):755–768CrossRef
Zurück zum Zitat Brüggemann W, Jahnke H (2000a) The discrete lot-sizing and scheduling problem: complexity and modification for batch availability. Eur J Oper Res 124(3):511–528CrossRef Brüggemann W, Jahnke H (2000a) The discrete lot-sizing and scheduling problem: complexity and modification for batch availability. Eur J Oper Res 124(3):511–528CrossRef
Zurück zum Zitat Brüggemann W, Jahnke H (2000b) Erratum to “The discrete lot-sizing and scheduling problem: complexity and modification for batch availability” [EJOR 124 (3) (2000) 511–528]. Eur J Oper Res 126(3):688 Brüggemann W, Jahnke H (2000b) Erratum to “The discrete lot-sizing and scheduling problem: complexity and modification for batch availability” [EJOR 124 (3) (2000) 511–528]. Eur J Oper Res 126(3):688
Zurück zum Zitat Buschkühl L, Sahling F, Helber S, Tempelmeier H (2010) Dynamic capacitated lot-sizing problems: a classification and review of solution approaches. OR Spectr 32(2):231–261CrossRef Buschkühl L, Sahling F, Helber S, Tempelmeier H (2010) Dynamic capacitated lot-sizing problems: a classification and review of solution approaches. OR Spectr 32(2):231–261CrossRef
Zurück zum Zitat Camargo VCB, Toledo FMB, Almada-Lobo B (2012) Three time-based scale formulations for the two stage lot sizing and scheduling in process industries. J Oper Res Soc 63:1613–1630CrossRef Camargo VCB, Toledo FMB, Almada-Lobo B (2012) Three time-based scale formulations for the two stage lot sizing and scheduling in process industries. J Oper Res Soc 63:1613–1630CrossRef
Zurück zum Zitat Camargo VCB, Toledo FMB, Almada-Lobo B (2014) HOPS—hamming-oriented partition search for production planning in the spinning industry. Eur J Oper Res 234(1):266–277CrossRef Camargo VCB, Toledo FMB, Almada-Lobo B (2014) HOPS—hamming-oriented partition search for production planning in the spinning industry. Eur J Oper Res 234(1):266–277CrossRef
Zurück zum Zitat Campbell GM (1992) Using short-term dedication for scheduling multiple products on parallel machines. Prod Oper Manag 1(3):295–307CrossRef Campbell GM (1992) Using short-term dedication for scheduling multiple products on parallel machines. Prod Oper Manag 1(3):295–307CrossRef
Zurück zum Zitat Cattrysse D, Salomon M, Kuik R, Van Wassenhove LN (1993) A dual ascent and column generation heuristic for the discrete lotsizing and scheduling problem with setup times. Manag Sci 39(4):477–486CrossRef Cattrysse D, Salomon M, Kuik R, Van Wassenhove LN (1993) A dual ascent and column generation heuristic for the discrete lotsizing and scheduling problem with setup times. Manag Sci 39(4):477–486CrossRef
Zurück zum Zitat Chang P, Chang C, Chen C (2004) An extension of the multi-machine multi-level proportional lot sizing and scheduling model for product-life-cycle demand. Int J Oper Res 1(1):11–22 Chang P, Chang C, Chen C (2004) An extension of the multi-machine multi-level proportional lot sizing and scheduling model for product-life-cycle demand. Int J Oper Res 1(1):11–22
Zurück zum Zitat Clark AR (2003) Optimization approximations for capacity constrained material requirements planning. Int J Prod Econ 84(2):115–131CrossRef Clark AR (2003) Optimization approximations for capacity constrained material requirements planning. Int J Prod Econ 84(2):115–131CrossRef
Zurück zum Zitat Clark AR, Clark SJ (2000) Rolling-horizon lot-sizing when set-up times are sequence-dependent. Int J Prod Res 38(10):2287–2307CrossRef Clark AR, Clark SJ (2000) Rolling-horizon lot-sizing when set-up times are sequence-dependent. Int J Prod Res 38(10):2287–2307CrossRef
Zurück zum Zitat Clark AR, Mahdieh M, Rangel S (2014) Production lot sizing and scheduling with non-triangular sequence-dependent setup times. Int J Prod Res 52(8):2490–2503CrossRef Clark AR, Mahdieh M, Rangel S (2014) Production lot sizing and scheduling with non-triangular sequence-dependent setup times. Int J Prod Res 52(8):2490–2503CrossRef
Zurück zum Zitat Clark AR, Morabito R, Toso EAV (2010) Production setup-sequencing and lot-sizing at an animal nutrition plant through ATSP subtour elimination and patching. J Sched 13(2):111–121CrossRef Clark AR, Morabito R, Toso EAV (2010) Production setup-sequencing and lot-sizing at an animal nutrition plant through ATSP subtour elimination and patching. J Sched 13(2):111–121CrossRef
Zurück zum Zitat Constantino M (2000) A polyhedral approach to a production planning problem. Ann Oper Res 96(1–4):75–95CrossRef Constantino M (2000) A polyhedral approach to a production planning problem. Ann Oper Res 96(1–4):75–95CrossRef
Zurück zum Zitat Dastidar SG, Nagi R (2005) Scheduling injection molding operations with multiple resource constraints and sequence dependent setup times and costs. Comput Oper Res 32(11):2987–3005CrossRef Dastidar SG, Nagi R (2005) Scheduling injection molding operations with multiple resource constraints and sequence dependent setup times and costs. Comput Oper Res 32(11):2987–3005CrossRef
Zurück zum Zitat Dauzère-Pérès S, Lasserre J-B (1994) Integration of lotsizing and scheduling decisions in a job-shop. Eur J Oper Res 28(3):413–426CrossRef Dauzère-Pérès S, Lasserre J-B (1994) Integration of lotsizing and scheduling decisions in a job-shop. Eur J Oper Res 28(3):413–426CrossRef
Zurück zum Zitat Dauzère-Pérès S, Lasserre J-B (2002) On the importance of sequencing decisions in production planning and scheduling. Int Trans Oper Res 9(6):779–793CrossRef Dauzère-Pérès S, Lasserre J-B (2002) On the importance of sequencing decisions in production planning and scheduling. Int Trans Oper Res 9(6):779–793CrossRef
Zurück zum Zitat de Araujo SA, Arenales MN, Clark AR (2007) Joint rolling-horizon scheduling of materials processing and lot-sizing with sequence-dependent setups. J Heuristics 13(4):337–358CrossRef de Araujo SA, Arenales MN, Clark AR (2007) Joint rolling-horizon scheduling of materials processing and lot-sizing with sequence-dependent setups. J Heuristics 13(4):337–358CrossRef
Zurück zum Zitat de Araujo SA, Arenales MN, Clark AR (2008) Lot sizing and furnace scheduling in small foundries. Comput Oper Res 35(3):916–932CrossRef de Araujo SA, Arenales MN, Clark AR (2008) Lot sizing and furnace scheduling in small foundries. Comput Oper Res 35(3):916–932CrossRef
Zurück zum Zitat de Araujo SA, Clark AR (2013) A priori reformulations for joint rolling-horizon scheduling of materials processing and lot-sizing problem. Comput Ind Eng 65(4):577–585CrossRef de Araujo SA, Clark AR (2013) A priori reformulations for joint rolling-horizon scheduling of materials processing and lot-sizing problem. Comput Ind Eng 65(4):577–585CrossRef
Zurück zum Zitat de Matta R (1994) A Lagrangean decomposition solution to a single line multiproduct scheduling problem. Eur J Oper Res 79(1):25–37CrossRef de Matta R (1994) A Lagrangean decomposition solution to a single line multiproduct scheduling problem. Eur J Oper Res 79(1):25–37CrossRef
Zurück zum Zitat de Matta R, Guignard M (1994a) Dynamic production scheduling for a process industry. Oper Res 42(3):492–503CrossRef de Matta R, Guignard M (1994a) Dynamic production scheduling for a process industry. Oper Res 42(3):492–503CrossRef
Zurück zum Zitat de Matta R, Guignard M (1994b) Studying the effects of production loss due to setup in dynamic production scheduling. Eur J Oper Res 72(1):62–73CrossRef de Matta R, Guignard M (1994b) Studying the effects of production loss due to setup in dynamic production scheduling. Eur J Oper Res 72(1):62–73CrossRef
Zurück zum Zitat de Matta R, Guignard M (1995) The performance of rolling production schedules in a process industry. IIE Trans 27(5):564–573CrossRef de Matta R, Guignard M (1995) The performance of rolling production schedules in a process industry. IIE Trans 27(5):564–573CrossRef
Zurück zum Zitat de Souza PS, Talukdar SN (1993) Asynchronous organizations for multialgorithm problems. In: Proceedings of the 1993 ACM/SIGAPP symposium on applied computing: states of the art and practice, SAC n++93, pp 286–293 de Souza PS, Talukdar SN (1993) Asynchronous organizations for multialgorithm problems. In: Proceedings of the 1993 ACM/SIGAPP symposium on applied computing: states of the art and practice, SAC n++93, pp 286–293
Zurück zum Zitat Drexl A, Haase K (1995) Proportional lotsizing and scheduling. Int J Prod Econ 40(1):73–87CrossRef Drexl A, Haase K (1995) Proportional lotsizing and scheduling. Int J Prod Econ 40(1):73–87CrossRef
Zurück zum Zitat Drexl A, Haase K (1996) Sequential-analysis based randomized-regret-methods for lot-sizing and scheduling. J Oper Res Soc 47(2):251–265CrossRef Drexl A, Haase K (1996) Sequential-analysis based randomized-regret-methods for lot-sizing and scheduling. J Oper Res Soc 47(2):251–265CrossRef
Zurück zum Zitat Drexl A, Haase K, Kimms A (1995) Losgrößen- und Ablaufplanung in PPS-Systemen auf der Basis randomisierter Opportunitätskosten. Z Betriebswirtschaft 65(3):267–285 Drexl A, Haase K, Kimms A (1995) Losgrößen- und Ablaufplanung in PPS-Systemen auf der Basis randomisierter Opportunitätskosten. Z Betriebswirtschaft 65(3):267–285
Zurück zum Zitat Drexl A, Kimms A (1997) Lot sizing and scheduling—survey and extensions. Eur J Oper Res 99(2):221–235CrossRef Drexl A, Kimms A (1997) Lot sizing and scheduling—survey and extensions. Eur J Oper Res 99(2):221–235CrossRef
Zurück zum Zitat Dumas Y, Desrosiers J, Gelinas E, Solomon MM (1995) An optimal algorithm for the traveling salesman problem with time windows. Oper Res 43(2):367–371CrossRef Dumas Y, Desrosiers J, Gelinas E, Solomon MM (1995) An optimal algorithm for the traveling salesman problem with time windows. Oper Res 43(2):367–371CrossRef
Zurück zum Zitat Eppen GD, Martin RK (1987) Solving multi-item capacitated lot-sizing problems using variable redefinition. Oper Res 35(6):832–848CrossRef Eppen GD, Martin RK (1987) Solving multi-item capacitated lot-sizing problems using variable redefinition. Oper Res 35(6):832–848CrossRef
Zurück zum Zitat Erdirik-Dogan M, Grossmann IE (2008) Simultaneous planning and scheduling of single-stage multi-product continuous plants with parallel lines. Comput Chem Eng 32(11):2664–2684CrossRef Erdirik-Dogan M, Grossmann IE (2008) Simultaneous planning and scheduling of single-stage multi-product continuous plants with parallel lines. Comput Chem Eng 32(11):2664–2684CrossRef
Zurück zum Zitat Fandel G, Stammen-Hegener C (2006) Simultaneous lot sizing and scheduling for multi-product multi-level production. Int J Prod Econ 104(2):308–316CrossRef Fandel G, Stammen-Hegener C (2006) Simultaneous lot sizing and scheduling for multi-product multi-level production. Int J Prod Econ 104(2):308–316CrossRef
Zurück zum Zitat Ferreira D, Clark AR, Almada-Lobo B, Morabito Neto R (2012) Single-stage formulations for synchronised two-stage lot sizing and scheduling in soft drink production. Int J Prod Econ 136(2):255–265CrossRef Ferreira D, Clark AR, Almada-Lobo B, Morabito Neto R (2012) Single-stage formulations for synchronised two-stage lot sizing and scheduling in soft drink production. Int J Prod Econ 136(2):255–265CrossRef
Zurück zum Zitat Ferreira D, Morabito Neto R, Rangel S (2009) Solution approaches for the soft drink integrated production lot sizing and scheduling problem. Eur J Oper Res 196(2):697–706CrossRef Ferreira D, Morabito Neto R, Rangel S (2009) Solution approaches for the soft drink integrated production lot sizing and scheduling problem. Eur J Oper Res 196(2):697–706CrossRef
Zurück zum Zitat Ferreira D, Morabito Neto R, Rangel S (2010) Relax and fix heuristics to solve one-stage one-machine lot-scheduling models for small-scale soft drink plants. Comput Oper Res 37(4):684–691CrossRef Ferreira D, Morabito Neto R, Rangel S (2010) Relax and fix heuristics to solve one-stage one-machine lot-scheduling models for small-scale soft drink plants. Comput Oper Res 37(4):684–691CrossRef
Zurück zum Zitat Figueira G, Santos MO, Almada-Lobo B (2013) A hybrid VNS approach for the short-term production planning and scheduling: a case study in the pulp and paper industry. Comput Oper Res 40(7):1804–1818CrossRef Figueira G, Santos MO, Almada-Lobo B (2013) A hybrid VNS approach for the short-term production planning and scheduling: a case study in the pulp and paper industry. Comput Oper Res 40(7):1804–1818CrossRef
Zurück zum Zitat Filho MAF, Santos MO, Meneses CN (2012) Asynchronous teams for joint lot-sizing and scheduling problem in flow shops. Int J Prod Res 50(20):5809–5822CrossRef Filho MAF, Santos MO, Meneses CN (2012) Asynchronous teams for joint lot-sizing and scheduling problem in flow shops. Int J Prod Res 50(20):5809–5822CrossRef
Zurück zum Zitat Fleischmann B (1990) The discrete lot-sizing and scheduling problem. Eur J Oper Res 44(3):337–348CrossRef Fleischmann B (1990) The discrete lot-sizing and scheduling problem. Eur J Oper Res 44(3):337–348CrossRef
Zurück zum Zitat Fleischmann B (1994) The discrete lot-sizing and scheduling problem with sequence-dependent setup costs. Eur J Oper Res 75(2):395–404CrossRef Fleischmann B (1994) The discrete lot-sizing and scheduling problem with sequence-dependent setup costs. Eur J Oper Res 75(2):395–404CrossRef
Zurück zum Zitat Fleischmann B, Meyr H (1997) The general lotsizing and scheduling problem. OR Spectr 19(1):11–21CrossRef Fleischmann B, Meyr H (1997) The general lotsizing and scheduling problem. OR Spectr 19(1):11–21CrossRef
Zurück zum Zitat Furlan MM, Almada-Lobo B, Santos MO, Morabito Neto R (2013) A genetic algorithm-based heuristic with unequal individuals to tackle the lot-sizing and scheduling problem. In: Proceedings of XLV SBPO—Simpösio Brasileiro de Pesquisa Operacional, pp 3505–3516 Furlan MM, Almada-Lobo B, Santos MO, Morabito Neto R (2013) A genetic algorithm-based heuristic with unequal individuals to tackle the lot-sizing and scheduling problem. In: Proceedings of XLV SBPO—Simpösio Brasileiro de Pesquisa Operacional, pp 3505–3516
Zurück zum Zitat Furlan MM, Almada-Lobo B, Santos MO, Morabito Neto R (2015) Unequal individual genetic algorithm with intelligent diversification for the lot-scheduling problem in integrated mills using multiple-paper machines. Comput Oper Res 59:33–50CrossRef Furlan MM, Almada-Lobo B, Santos MO, Morabito Neto R (2015) Unequal individual genetic algorithm with intelligent diversification for the lot-scheduling problem in integrated mills using multiple-paper machines. Comput Oper Res 59:33–50CrossRef
Zurück zum Zitat Gaglioppa F, Miller LA, Benjaafar S (2008) Multitask and multistage production planning and scheduling for process industries. Oper Res 56(4):1010–1025CrossRef Gaglioppa F, Miller LA, Benjaafar S (2008) Multitask and multistage production planning and scheduling for process industries. Oper Res 56(4):1010–1025CrossRef
Zurück zum Zitat Gicquel C (2008) MIP models and exact methods for the discrete lot-sizing and scheduling problem with sequence-dependent changeover costs and times. Ph.D. thesis, École Centrale Paris Gicquel C (2008) MIP models and exact methods for the discrete lot-sizing and scheduling problem with sequence-dependent changeover costs and times. Ph.D. thesis, École Centrale Paris
Zurück zum Zitat Gicquel C, Lisser A, Minoux M (2014) An evaluation of semidefinite programming based approaches for discrete lot-sizing problems. Eur J Oper Res 237(2):498–507CrossRef Gicquel C, Lisser A, Minoux M (2014) An evaluation of semidefinite programming based approaches for discrete lot-sizing problems. Eur J Oper Res 237(2):498–507CrossRef
Zurück zum Zitat Gicquel C, Miègeville N, Minoux M, Dallery Y (2009a) Discrete lot sizing and scheduling using product decomposition into attributes. Comput Oper Res 36(9):2690–2698CrossRef Gicquel C, Miègeville N, Minoux M, Dallery Y (2009a) Discrete lot sizing and scheduling using product decomposition into attributes. Comput Oper Res 36(9):2690–2698CrossRef
Zurück zum Zitat Gicquel C, Minoux M (2015) Multi-product valid inequalities for the discrete lot-sizing and scheduling problem. Comput Oper Res 54:12–20CrossRef Gicquel C, Minoux M (2015) Multi-product valid inequalities for the discrete lot-sizing and scheduling problem. Comput Oper Res 54:12–20CrossRef
Zurück zum Zitat Gicquel C, Minoux M, Dallery Y (2009b) On the discrete lot-sizing and scheduling problem with sequence-dependent changeover times. Oper Res Lett 37(1):32–36CrossRef Gicquel C, Minoux M, Dallery Y (2009b) On the discrete lot-sizing and scheduling problem with sequence-dependent changeover times. Oper Res Lett 37(1):32–36CrossRef
Zurück zum Zitat Gicquel C, Minoux M, Dallery Y (2011) Exact solution approaches for the discrete lot-sizing and scheduling problem with parallel resources. Int J Prod Res 49(9):2587–2603CrossRef Gicquel C, Minoux M, Dallery Y (2011) Exact solution approaches for the discrete lot-sizing and scheduling problem with parallel resources. Int J Prod Res 49(9):2587–2603CrossRef
Zurück zum Zitat Gicquel C, Wolsey LA, Minoux M (2012) On discrete lot-sizing and scheduling on identical parallel machines. Optim Lett 6(3):545–557CrossRef Gicquel C, Wolsey LA, Minoux M (2012) On discrete lot-sizing and scheduling on identical parallel machines. Optim Lett 6(3):545–557CrossRef
Zurück zum Zitat Göthe-Lundgren M, Lundgren JT, Persson JA (2002) An optimization model for refinery production scheduling. Int J Prod Econ 78(3):255–270CrossRef Göthe-Lundgren M, Lundgren JT, Persson JA (2002) An optimization model for refinery production scheduling. Int J Prod Econ 78(3):255–270CrossRef
Zurück zum Zitat Grünert T (1998) Multi-level sequence-dependent dynamic lotsizing and scheduling. Shaker Verlag, Aachen Grünert T (1998) Multi-level sequence-dependent dynamic lotsizing and scheduling. Shaker Verlag, Aachen
Zurück zum Zitat Guimarães L, Klabjan D, Almada-Lobo B (2013) Pricing, relaxing and fixing under lot sizing and scheduling. Eur J Oper Res 230(2):399–411CrossRef Guimarães L, Klabjan D, Almada-Lobo B (2013) Pricing, relaxing and fixing under lot sizing and scheduling. Eur J Oper Res 230(2):399–411CrossRef
Zurück zum Zitat Guimarães L, Klabjan D, Almada-Lobo B (2014) Modeling lotsizing and scheduling problems with sequence dependent setups. Eur J Oper Res 239(3):644–662CrossRef Guimarães L, Klabjan D, Almada-Lobo B (2014) Modeling lotsizing and scheduling problems with sequence dependent setups. Eur J Oper Res 239(3):644–662CrossRef
Zurück zum Zitat Günther H-O (2014) The block planning approach for continuous time-based dynamic lot sizing and scheduling. Bus Res 7(1):51–76CrossRef Günther H-O (2014) The block planning approach for continuous time-based dynamic lot sizing and scheduling. Bus Res 7(1):51–76CrossRef
Zurück zum Zitat Günther H-O, Grunow M, Neuhaus U (2006) Realizing block planning concepts in make-and-pack production using MILP modelling and SAP APO. Int J Prod Res 44(18–19):3711–3726CrossRef Günther H-O, Grunow M, Neuhaus U (2006) Realizing block planning concepts in make-and-pack production using MILP modelling and SAP APO. Int J Prod Res 44(18–19):3711–3726CrossRef
Zurück zum Zitat Gupta D, Magnusson T (2005) The capacitated lot-sizing and scheduling problem with sequence-dependent setup costs and setup times. Comput Oper Res 32(4):727–747CrossRef Gupta D, Magnusson T (2005) The capacitated lot-sizing and scheduling problem with sequence-dependent setup costs and setup times. Comput Oper Res 32(4):727–747CrossRef
Zurück zum Zitat Haase K (1994) Lotsizing and scheduling for production planning. Springer, BerlinCrossRef Haase K (1994) Lotsizing and scheduling for production planning. Springer, BerlinCrossRef
Zurück zum Zitat Haase K (1996) Capacitated lot-sizing with sequence dependent setup costs. OR Spectr 18(1):51–59CrossRef Haase K (1996) Capacitated lot-sizing with sequence dependent setup costs. OR Spectr 18(1):51–59CrossRef
Zurück zum Zitat Haase K, Kimms A (2000) Lot sizing and scheduling with sequence-dependent setup costs and times and efficient rescheduling opportunities. Int J Prod Econ 66(2):159–169CrossRef Haase K, Kimms A (2000) Lot sizing and scheduling with sequence-dependent setup costs and times and efficient rescheduling opportunities. Int J Prod Econ 66(2):159–169CrossRef
Zurück zum Zitat Harris FW (1913) How many parts to make at once. Fact Mag Manag 10(2):135–136, 152 Harris FW (1913) How many parts to make at once. Fact Mag Manag 10(2):135–136, 152
Zurück zum Zitat Heuts RMJ, Seidel HP, Selen WJ (1992) A comparison of two lot sizing-sequencing heuristics for the process industry. Eur J Oper Res 59(3):413–424CrossRef Heuts RMJ, Seidel HP, Selen WJ (1992) A comparison of two lot sizing-sequencing heuristics for the process industry. Eur J Oper Res 59(3):413–424CrossRef
Zurück zum Zitat James RJW, Almada-Lobo B (2011) Single and parallel machine capacitated lotsizing and scheduling: new iterative MIP-based neighborhood search heuristics. Comput Oper Res 38(12):1816–1825CrossRef James RJW, Almada-Lobo B (2011) Single and parallel machine capacitated lotsizing and scheduling: new iterative MIP-based neighborhood search heuristics. Comput Oper Res 38(12):1816–1825CrossRef
Zurück zum Zitat Jans R, Degraeve Z (2004) An industrial extension of the discrete lot-sizing and scheduling problem. IIE Trans 36(1):47–58CrossRef Jans R, Degraeve Z (2004) An industrial extension of the discrete lot-sizing and scheduling problem. IIE Trans 36(1):47–58CrossRef
Zurück zum Zitat Jans R, Degraeve Z (2008) Modeling industrial lot sizing problems: a review. Int J Prod Res 46(6):1619–1643CrossRef Jans R, Degraeve Z (2008) Modeling industrial lot sizing problems: a review. Int J Prod Res 46(6):1619–1643CrossRef
Zurück zum Zitat Jordan C, Drexl A (1998) Discrete lotsizing and scheduling by batch sequencing. Manag Sci 44(5):698–713CrossRef Jordan C, Drexl A (1998) Discrete lotsizing and scheduling by batch sequencing. Manag Sci 44(5):698–713CrossRef
Zurück zum Zitat Kaczmarczyk W (2011) Proportional lot-sizing and scheduling problem with identical parallel machines. Int J Prod Res 49(9):2605–2623CrossRef Kaczmarczyk W (2011) Proportional lot-sizing and scheduling problem with identical parallel machines. Int J Prod Res 49(9):2605–2623CrossRef
Zurück zum Zitat Kang S, Malik K, Thomas LJ (1999) Lotsizing and scheduling on parallel machines with sequence-dependent setup costs. Manag Sci 45(2):273–289CrossRef Kang S, Malik K, Thomas LJ (1999) Lotsizing and scheduling on parallel machines with sequence-dependent setup costs. Manag Sci 45(2):273–289CrossRef
Zurück zum Zitat Karimi-Nasab M, Modarres M (2015) Lot sizing and job shop scheduling with compressible process times: a cut and branch approach. Comput Ind Eng 85:196–205CrossRef Karimi-Nasab M, Modarres M (2015) Lot sizing and job shop scheduling with compressible process times: a cut and branch approach. Comput Ind Eng 85:196–205CrossRef
Zurück zum Zitat Karimi-Nasab M, Modarres M, Seyedhoseini S (2015) A self-adaptive PSO for joint lot sizing and job shop scheduling with compressible process times. Appl Soft Comput 27:137–147CrossRef Karimi-Nasab M, Modarres M, Seyedhoseini S (2015) A self-adaptive PSO for joint lot sizing and job shop scheduling with compressible process times. Appl Soft Comput 27:137–147CrossRef
Zurück zum Zitat Karimi-Nasab M, Seyedhoseini SM (2013) Multi-level lot sizing and job shop scheduling with compressible process times: a cutting plane approach. Eur J Oper Res 231(3):598–616CrossRef Karimi-Nasab M, Seyedhoseini SM (2013) Multi-level lot sizing and job shop scheduling with compressible process times: a cutting plane approach. Eur J Oper Res 231(3):598–616CrossRef
Zurück zum Zitat Karimi-Nasab M, Seyedhoseini SM, Modarres M, Heidari M (2013) Multi-period lot sizing and job shop scheduling with compressible process times for multilevel product structures. Int J Prod Res 51(20):6229–6246CrossRef Karimi-Nasab M, Seyedhoseini SM, Modarres M, Heidari M (2013) Multi-period lot sizing and job shop scheduling with compressible process times for multilevel product structures. Int J Prod Res 51(20):6229–6246CrossRef
Zurück zum Zitat Karmarkar US, Schrage L (1985) The deterministic dynamic product cycling problem. Oper Res 33(2):326–345CrossRef Karmarkar US, Schrage L (1985) The deterministic dynamic product cycling problem. Oper Res 33(2):326–345CrossRef
Zurück zum Zitat Kilger C, Meyr H (2015) Demand fulfillment and ATP. In: Stadtler H, Kilger C, Meyr H (eds) Supply chain management and advanced planning, 5th edn. Springer texts in business and economics, vol 9. Springer, Berlin, pp 177–194 Kilger C, Meyr H (2015) Demand fulfillment and ATP. In: Stadtler H, Kilger C, Meyr H (eds) Supply chain management and advanced planning, 5th edn. Springer texts in business and economics, vol 9. Springer, Berlin, pp 177–194
Zurück zum Zitat Kimms A (1996a) Competitive methods for multi-level lot sizing and scheduling: tabu search and randomized regrets. Int J Prod Res 34(8):2279–2298CrossRef Kimms A (1996a) Competitive methods for multi-level lot sizing and scheduling: tabu search and randomized regrets. Int J Prod Res 34(8):2279–2298CrossRef
Zurück zum Zitat Kimms A (1996b) Multi-level, single-machine lot sizing and scheduling (with initial inventory). Eur J Oper Res 89(1):86–99CrossRef Kimms A (1996b) Multi-level, single-machine lot sizing and scheduling (with initial inventory). Eur J Oper Res 89(1):86–99CrossRef
Zurück zum Zitat Kimms A (1997a) Demand shuffle—a method for multilevel proportional lot sizing and scheduling. Nav Res Logist 44(4):319–340CrossRef Kimms A (1997a) Demand shuffle—a method for multilevel proportional lot sizing and scheduling. Nav Res Logist 44(4):319–340CrossRef
Zurück zum Zitat Kimms A (1997b) Multi-level lot sizing and scheduling. Physics, HeidelbergCrossRef Kimms A (1997b) Multi-level lot sizing and scheduling. Physics, HeidelbergCrossRef
Zurück zum Zitat Kimms A (1999) A genetic algorithm for multi-level, multi-machine lot sizing and scheduling. Comput Oper Res 26(8):829–848CrossRef Kimms A (1999) A genetic algorithm for multi-level, multi-machine lot sizing and scheduling. Comput Oper Res 26(8):829–848CrossRef
Zurück zum Zitat Kimms A, Drexl A (1998) Proportional lot sizing and scheduling: some extensions. Networks 32(2):85–101CrossRef Kimms A, Drexl A (1998) Proportional lot sizing and scheduling: some extensions. Networks 32(2):85–101CrossRef
Zurück zum Zitat Koçlar A, Süral H (2005) A note on “The general lot sizing and scheduling problem”. OR Spectr 27(1):145–146CrossRef Koçlar A, Süral H (2005) A note on “The general lot sizing and scheduling problem”. OR Spectr 27(1):145–146CrossRef
Zurück zum Zitat Kopanos GM, Puigjaner L, Maravelias CT (2011) Production planning and scheduling of parallel continuous processes with product families. Ind Eng Chem Res 50(3):1369–1378CrossRef Kopanos GM, Puigjaner L, Maravelias CT (2011) Production planning and scheduling of parallel continuous processes with product families. Ind Eng Chem Res 50(3):1369–1378CrossRef
Zurück zum Zitat Kovács A, Brown KN, Tarim SA (2009) An efficient MIP model for the capacitated lot-sizing and scheduling problem with sequence-dependent setups. Int J Prod Econ 118(1):282–291CrossRef Kovács A, Brown KN, Tarim SA (2009) An efficient MIP model for the capacitated lot-sizing and scheduling problem with sequence-dependent setups. Int J Prod Econ 118(1):282–291CrossRef
Zurück zum Zitat Kwak I, Jeong I (2011) A hierarchical approach for the capacitated lot-sizing and scheduling problem with a special structure of sequence-dependent setups. Int J Prod Res 49(24):7425–7439CrossRef Kwak I, Jeong I (2011) A hierarchical approach for the capacitated lot-sizing and scheduling problem with a special structure of sequence-dependent setups. Int J Prod Res 49(24):7425–7439CrossRef
Zurück zum Zitat Laguna M (1999) A heuristic for production scheduling and inventory control in the presence of sequence-dependent setup time. IIE Trans 31(2):125–134 Laguna M (1999) A heuristic for production scheduling and inventory control in the presence of sequence-dependent setup time. IIE Trans 31(2):125–134
Zurück zum Zitat Lang JC (2010) Production and inventory management with substitutions. In: Lecture notes in economics and mathematical systems. Springer, Heidelberg Lang JC (2010) Production and inventory management with substitutions. In: Lecture notes in economics and mathematical systems. Springer, Heidelberg
Zurück zum Zitat Lang JC, Shen ZM (2011) Fix-and-optimize heuristics for capacitated lot-sizing with sequence-dependent setups and substitutions. Eur J Oper Res 214(3):595–605CrossRef Lang JC, Shen ZM (2011) Fix-and-optimize heuristics for capacitated lot-sizing with sequence-dependent setups and substitutions. Eur J Oper Res 214(3):595–605CrossRef
Zurück zum Zitat Lasdon L, Terjung RC (1971) An efficient algorithm for multi-item scheduling. Oper Res 19(4):946–969CrossRef Lasdon L, Terjung RC (1971) An efficient algorithm for multi-item scheduling. Oper Res 19(4):946–969CrossRef
Zurück zum Zitat Liberatore M, Miller T (1985) A hierarchical production planning system. Interfaces 15(4):1–11CrossRef Liberatore M, Miller T (1985) A hierarchical production planning system. Interfaces 15(4):1–11CrossRef
Zurück zum Zitat Mac Cawley AF (2014) The international wine supply chain: challenges from bottling to the glass. Ph.D. thesis, Georgia Institute of Technology Mac Cawley AF (2014) The international wine supply chain: challenges from bottling to the glass. Ph.D. thesis, Georgia Institute of Technology
Zurück zum Zitat Magnanti TL, Vachani R (1990) A strong cutting plane algorithm for production scheduling with changeover costs. Oper Res 38(3):456–473CrossRef Magnanti TL, Vachani R (1990) A strong cutting plane algorithm for production scheduling with changeover costs. Oper Res 38(3):456–473CrossRef
Zurück zum Zitat Maldonado M, Rangel S, Ferreira D (2014) A study of different subsequence elimination strategies for the soft drink production planning. J Appl Res Technol 12(4):631–641CrossRef Maldonado M, Rangel S, Ferreira D (2014) A study of different subsequence elimination strategies for the soft drink production planning. J Appl Res Technol 12(4):631–641CrossRef
Zurück zum Zitat Marinelli F, Nenni ME, Sforza A (2007) Capacitated lot sizing and scheduling with parallel machines and shared buffers: a case study in a packaging company. Ann Oper Res 150(1):177–192CrossRef Marinelli F, Nenni ME, Sforza A (2007) Capacitated lot sizing and scheduling with parallel machines and shared buffers: a case study in a packaging company. Ann Oper Res 150(1):177–192CrossRef
Zurück zum Zitat Mateus GR, Ravetti MG, de Souza MC, Valeriano TM (2010) Capacitated lot sizing and sequence dependent setup scheduling: an iterative approach for integration. J Sched 13(3):245–259CrossRef Mateus GR, Ravetti MG, de Souza MC, Valeriano TM (2010) Capacitated lot sizing and sequence dependent setup scheduling: an iterative approach for integration. J Sched 13(3):245–259CrossRef
Zurück zum Zitat Menezes AA, Clark AR, Almada-Lobo B (2011) Capacitated lot-sizing and scheduling with sequence-dependent, period-overlapping and non-triangular setups. J Sched 14(2):209–219CrossRef Menezes AA, Clark AR, Almada-Lobo B (2011) Capacitated lot-sizing and scheduling with sequence-dependent, period-overlapping and non-triangular setups. J Sched 14(2):209–219CrossRef
Zurück zum Zitat Meyr H (1999) Simultane Losgrößen- und Reihenfolgeplanung für kontinuierliche Produktionslinien. Deutscher Universitätsverlag, WiesbadenCrossRef Meyr H (1999) Simultane Losgrößen- und Reihenfolgeplanung für kontinuierliche Produktionslinien. Deutscher Universitätsverlag, WiesbadenCrossRef
Zurück zum Zitat Meyr H (2000) Simultaneous lotsizing and scheduling by combining local search with dual reoptimization. Eur J Oper Res 120(2):311–326CrossRef Meyr H (2000) Simultaneous lotsizing and scheduling by combining local search with dual reoptimization. Eur J Oper Res 120(2):311–326CrossRef
Zurück zum Zitat Meyr H (2002) Simultaneous lotsizing and scheduling on parallel machines. Eur J Oper Res 139(2):277–292CrossRef Meyr H (2002) Simultaneous lotsizing and scheduling on parallel machines. Eur J Oper Res 139(2):277–292CrossRef
Zurück zum Zitat Meyr H (2004) Simultane Losgrößen- und Reihenfolgeplanung bei mehrstufiger kontinuierlicher Fertigung. Z Betriebswirtschaft 74(6):585–610 Meyr H (2004) Simultane Losgrößen- und Reihenfolgeplanung bei mehrstufiger kontinuierlicher Fertigung. Z Betriebswirtschaft 74(6):585–610
Zurück zum Zitat Meyr H, Mann M (2013) A decomposition approach for the general lotsizing and scheduling problem for parallel production lines. Eur J Oper Res 229(3):718–731CrossRef Meyr H, Mann M (2013) A decomposition approach for the general lotsizing and scheduling problem for parallel production lines. Eur J Oper Res 229(3):718–731CrossRef
Zurück zum Zitat Miller AJ, Wolsey LA (2003) Tight MIP formulations for multi-item discrete lot-sizing problems. Oper Res 51(4):557–565CrossRef Miller AJ, Wolsey LA (2003) Tight MIP formulations for multi-item discrete lot-sizing problems. Oper Res 51(4):557–565CrossRef
Zurück zum Zitat Mohammadi M (2010) Integrating lotsizing, loading, and scheduling decisions in flexible flow shops. Int J Adv Manuf Technol 50(9–12):1165–1174CrossRef Mohammadi M (2010) Integrating lotsizing, loading, and scheduling decisions in flexible flow shops. Int J Adv Manuf Technol 50(9–12):1165–1174CrossRef
Zurück zum Zitat Mohammadi M, Ghomi SMTF (2011) Genetic algorithm-based heuristic for capacitated lotsizing problem in flow shops with sequence-dependent setups. Expert Syst Appl 38(6):7201–7207CrossRef Mohammadi M, Ghomi SMTF (2011) Genetic algorithm-based heuristic for capacitated lotsizing problem in flow shops with sequence-dependent setups. Expert Syst Appl 38(6):7201–7207CrossRef
Zurück zum Zitat Mohammadi M, Ghomi SMTF, Jafari N (2011) A genetic algorithm for simultaneous lotsizing and sequencing of the permutation flow shops with sequence-dependent setups. Int J Comput Integr Manuf 24(1):87–93CrossRef Mohammadi M, Ghomi SMTF, Jafari N (2011) A genetic algorithm for simultaneous lotsizing and sequencing of the permutation flow shops with sequence-dependent setups. Int J Comput Integr Manuf 24(1):87–93CrossRef
Zurück zum Zitat Mohammadi M, Ghomi SMTF, Karimi B, Torabi SA (2010a) MIP-based heuristics for lotsizing in capacitated pure flow shop with sequence-dependent setups. Int J Prod Res 48(10):2957–2973CrossRef Mohammadi M, Ghomi SMTF, Karimi B, Torabi SA (2010a) MIP-based heuristics for lotsizing in capacitated pure flow shop with sequence-dependent setups. Int J Prod Res 48(10):2957–2973CrossRef
Zurück zum Zitat Mohammadi M, Ghomi SMTF, Karimi B, Torabi SA (2010b) Rolling-horizon and fix-and-relax heuristics for the multi-product multi-level capacitated lotsizing problem with sequence-dependent setups. J Intell Manuf 21(4):501–510CrossRef Mohammadi M, Ghomi SMTF, Karimi B, Torabi SA (2010b) Rolling-horizon and fix-and-relax heuristics for the multi-product multi-level capacitated lotsizing problem with sequence-dependent setups. J Intell Manuf 21(4):501–510CrossRef
Zurück zum Zitat Mohammadi M, Karimi B, Ghomi SMTF, Torabi SA (2010c) A new algorithmic approach for capacitated lot-sizing problem in flow shops with sequence-dependent setups. Int J Adv Manuf Technol 49(1–4):201–211CrossRef Mohammadi M, Karimi B, Ghomi SMTF, Torabi SA (2010c) A new algorithmic approach for capacitated lot-sizing problem in flow shops with sequence-dependent setups. Int J Adv Manuf Technol 49(1–4):201–211CrossRef
Zurück zum Zitat Mohammadi M, Poursabzi O (2014) A rolling horizon-based heuristic to solve a multi-level general lot sizing and scheduling problem with multiple machines (MLGLSP\(\_\)MM) in job shop manufacturing system. Uncertain Supply Chain Manag 2(3):167–178CrossRef Mohammadi M, Poursabzi O (2014) A rolling horizon-based heuristic to solve a multi-level general lot sizing and scheduling problem with multiple machines (MLGLSP\(\_\)MM) in job shop manufacturing system. Uncertain Supply Chain Manag 2(3):167–178CrossRef
Zurück zum Zitat Muramatsu K, Warman A, Kobayashi M (2003) A near-optimal solution method of multi-item multi-process dynamic lot size scheduling problem. JSME Int J Ser C Mech Syst Mach Elem Manuf 46(1):46–53CrossRef Muramatsu K, Warman A, Kobayashi M (2003) A near-optimal solution method of multi-item multi-process dynamic lot size scheduling problem. JSME Int J Ser C Mech Syst Mach Elem Manuf 46(1):46–53CrossRef
Zurück zum Zitat Pahl J, Voß S (2010) Discrete lot-sizing and scheduling including deterioration and perishability constraints. In: Dangelmaier W, Blecken A, Delius R, Klöpfer S (eds) Advanced manufacturing and sustainable logistics, vol 46. Lecture notes in business information processing. Springer, Berlin, pp 345–357 Pahl J, Voß S (2010) Discrete lot-sizing and scheduling including deterioration and perishability constraints. In: Dangelmaier W, Blecken A, Delius R, Klöpfer S (eds) Advanced manufacturing and sustainable logistics, vol 46. Lecture notes in business information processing. Springer, Berlin, pp 345–357
Zurück zum Zitat Pahl J, Voß S, Woodruff DL (2011) Discrete lot-sizing and scheduling with sequence-dependent setup times and costs including deterioration and perishability constraints. In: Proceedings of the 44th Hawaii international conference on system sciences. IEEE Computer Society, Los Alamitos, pp 1–10 Pahl J, Voß S, Woodruff DL (2011) Discrete lot-sizing and scheduling with sequence-dependent setup times and costs including deterioration and perishability constraints. In: Proceedings of the 44th Hawaii international conference on system sciences. IEEE Computer Society, Los Alamitos, pp 1–10
Zurück zum Zitat Persson JA, Göthe-Lundgren M, Lundgren JT, Gendron B (2004) A tabu search heuristic for scheduling the production processes at an oil refinery. Int J Prod Res 42(3):445–471CrossRef Persson JA, Göthe-Lundgren M, Lundgren JT, Gendron B (2004) A tabu search heuristic for scheduling the production processes at an oil refinery. Int J Prod Res 42(3):445–471CrossRef
Zurück zum Zitat Pochet Y, Wolsey LA (1991) Solving multi-item lot-sizing problems using strong cutting planes. Manag Sci 37(1):53–67CrossRef Pochet Y, Wolsey LA (1991) Solving multi-item lot-sizing problems using strong cutting planes. Manag Sci 37(1):53–67CrossRef
Zurück zum Zitat Pochet Y, Wolsey LA (2006) Production planning by mixed integer programming. Springer, New York Pochet Y, Wolsey LA (2006) Production planning by mixed integer programming. Springer, New York
Zurück zum Zitat Quadt D, Kuhn H (2005) Conceptual framework for lot-sizing and scheduling of flexible flow lines. Int J Prod Res 43(11):2291–2308CrossRef Quadt D, Kuhn H (2005) Conceptual framework for lot-sizing and scheduling of flexible flow lines. Int J Prod Res 43(11):2291–2308CrossRef
Zurück zum Zitat Quadt D, Kuhn H (2008) Capacitated lot-sizing with extensions: a review. 4OR 6(1):61–83 Quadt D, Kuhn H (2008) Capacitated lot-sizing with extensions: a review. 4OR 6(1):61–83
Zurück zum Zitat Quadt D, Kuhn H (2009) Capacitated lot-sizing and scheduling with parallel machines, back-orders and setup carry-over. Nav Res Logist 56(4):366–384CrossRef Quadt D, Kuhn H (2009) Capacitated lot-sizing and scheduling with parallel machines, back-orders and setup carry-over. Nav Res Logist 56(4):366–384CrossRef
Zurück zum Zitat Ramezanian R, Saidi-Mehrabad M, Fattahi P (2013a) MIP formulation and heuristics for multi-stage capacitated lot-sizing and scheduling problem with availability constraints. J Manuf Syst 32(2):392–401CrossRef Ramezanian R, Saidi-Mehrabad M, Fattahi P (2013a) MIP formulation and heuristics for multi-stage capacitated lot-sizing and scheduling problem with availability constraints. J Manuf Syst 32(2):392–401CrossRef
Zurück zum Zitat Ramezanian R, Saidi-Mehrabad M, Teimoury E (2013b) A mathematical model for integrating lot-sizing and scheduling problem in capacitated flow shop environments. Int J Adv Manuf Technol 66(1–4):347–361CrossRef Ramezanian R, Saidi-Mehrabad M, Teimoury E (2013b) A mathematical model for integrating lot-sizing and scheduling problem in capacitated flow shop environments. Int J Adv Manuf Technol 66(1–4):347–361CrossRef
Zurück zum Zitat Rocha LR, Ravetti MG, Meteus GR, Pardalos PM (2008) Exact algorithms for a scheduling problem with unrelated parallel machines and sequence and machine-dependent setup times. Comput Oper Res 35(4):1250–1264CrossRef Rocha LR, Ravetti MG, Meteus GR, Pardalos PM (2008) Exact algorithms for a scheduling problem with unrelated parallel machines and sequence and machine-dependent setup times. Comput Oper Res 35(4):1250–1264CrossRef
Zurück zum Zitat Rohaninejad M, Kheirkhah A, Fattahi P (2015) Simultaneous lot-sizing and scheduling in flexible job shop problems. Int J Adv Manuf Technol 78(1):1–18CrossRef Rohaninejad M, Kheirkhah A, Fattahi P (2015) Simultaneous lot-sizing and scheduling in flexible job shop problems. Int J Adv Manuf Technol 78(1):1–18CrossRef
Zurück zum Zitat Salomon M, Solomon MM, Van Wassenhove LN, Dumas Y, Dauzère-Pérès S (1997) Solving the discrete lotsizing and scheduling problem with sequence dependent set-up costs and set-up times using the traveling salesman problem with time windows. Eur J Oper Res 100(3):494–513CrossRef Salomon M, Solomon MM, Van Wassenhove LN, Dumas Y, Dauzère-Pérès S (1997) Solving the discrete lotsizing and scheduling problem with sequence dependent set-up costs and set-up times using the traveling salesman problem with time windows. Eur J Oper Res 100(3):494–513CrossRef
Zurück zum Zitat Santos MO, Almada-Lobo B (2012) Integrated pulp and paper mill planning and scheduling. Comput Ind Eng 63(1):1–12CrossRef Santos MO, Almada-Lobo B (2012) Integrated pulp and paper mill planning and scheduling. Comput Ind Eng 63(1):1–12CrossRef
Zurück zum Zitat Schrage L (1982) The multiproduct lot scheduling problem. In: Dempster M, Lenstra J, Rinnooy Kan A (eds) Deterministic and stochastic scheduling. Kluwer Academic Publishers, Dordrecht, pp 233–244 Schrage L (1982) The multiproduct lot scheduling problem. In: Dempster M, Lenstra J, Rinnooy Kan A (eds) Deterministic and stochastic scheduling. Kluwer Academic Publishers, Dordrecht, pp 233–244
Zurück zum Zitat Seeanner F (2013) Multi-stage simultaneous lot-sizing and scheduling—planning of flow lines with shifting bottlenecks. In: Produktion und Logistik, Springer Gabler, Wiesbaden Seeanner F (2013) Multi-stage simultaneous lot-sizing and scheduling—planning of flow lines with shifting bottlenecks. In: Produktion und Logistik, Springer Gabler, Wiesbaden
Zurück zum Zitat Seeanner F, Almada-Lobo B, Meyr H (2013) Combining the principles of variable neighborhood decomposition search and the fix&optimize heuristic to solve multi-level lot-sizing and scheduling problems. Comput Oper Res 40(1):303–317CrossRef Seeanner F, Almada-Lobo B, Meyr H (2013) Combining the principles of variable neighborhood decomposition search and the fix&optimize heuristic to solve multi-level lot-sizing and scheduling problems. Comput Oper Res 40(1):303–317CrossRef
Zurück zum Zitat Seeanner F, Meyr H (2013) Multi-stage simultaneous lot-sizing and scheduling for flow line production. OR Spectr 35(1):33–73CrossRef Seeanner F, Meyr H (2013) Multi-stage simultaneous lot-sizing and scheduling for flow line production. OR Spectr 35(1):33–73CrossRef
Zurück zum Zitat Shim I, Kim H, Doh H, Lee D (2011) A two-stage heuristic for single machine capacitated lot-sizing and scheduling with sequence-dependent setup costs. Comput Ind Eng 61(4):920–929CrossRef Shim I, Kim H, Doh H, Lee D (2011) A two-stage heuristic for single machine capacitated lot-sizing and scheduling with sequence-dependent setup costs. Comput Ind Eng 61(4):920–929CrossRef
Zurück zum Zitat Sikora R, Chhajed D, Shaw MJ (1996) Integrating the lot-sizing and sequencing decisions for scheduling a capacitated flow line. Comput Ind Eng 30(4):659–679CrossRef Sikora R, Chhajed D, Shaw MJ (1996) Integrating the lot-sizing and sequencing decisions for scheduling a capacitated flow line. Comput Ind Eng 30(4):659–679CrossRef
Zurück zum Zitat Sikora RT (1996) A genetic algorithm for integrating lot-sizing and sequencing in scheduling a capacitated flow line. Comput Ind Eng 30(4):969–981CrossRef Sikora RT (1996) A genetic algorithm for integrating lot-sizing and sequencing in scheduling a capacitated flow line. Comput Ind Eng 30(4):969–981CrossRef
Zurück zum Zitat Smith-Daniels VL, Ritzman LP (1988) A model for lot sizing and sequencing in process industries. J Prod Res 26(4):647–674CrossRef Smith-Daniels VL, Ritzman LP (1988) A model for lot sizing and sequencing in process industries. J Prod Res 26(4):647–674CrossRef
Zurück zum Zitat Smith-Daniels VL, Smith-Daniels DE (1986) A mixed integer programming model for lot sizing and sequencing packaging lines in the process industries. IIE Trans 18(3):278–285CrossRef Smith-Daniels VL, Smith-Daniels DE (1986) A mixed integer programming model for lot sizing and sequencing packaging lines in the process industries. IIE Trans 18(3):278–285CrossRef
Zurück zum Zitat Stadtler H (2011) Multi-level single machine lot-sizing and scheduling with zero lead times. Eur J Oper Res 209(3):241–252CrossRef Stadtler H (2011) Multi-level single machine lot-sizing and scheduling with zero lead times. Eur J Oper Res 209(3):241–252CrossRef
Zurück zum Zitat Stadtler H, Sahling F (2013) A lot-sizing and scheduling model for multi-stage flow lines with zero lead times. Eur J Oper Res 225(3):404–419CrossRef Stadtler H, Sahling F (2013) A lot-sizing and scheduling model for multi-stage flow lines with zero lead times. Eur J Oper Res 225(3):404–419CrossRef
Zurück zum Zitat Suerie C (2005) Campaign planning in time-indexed model formulations. Int J Prod Res 43(1):49–66CrossRef Suerie C (2005) Campaign planning in time-indexed model formulations. Int J Prod Res 43(1):49–66CrossRef
Zurück zum Zitat Suerie C (2006) Modeling of period overlapping setup times. Eur J Oper Res 174(2):874–886CrossRef Suerie C (2006) Modeling of period overlapping setup times. Eur J Oper Res 174(2):874–886CrossRef
Zurück zum Zitat Supithak W, Liman SD, Montes EJ (2010) Lot-sizing and scheduling problem with earliness tardiness and setup penalties. Comput Ind Eng 58(3):363–372CrossRef Supithak W, Liman SD, Montes EJ (2010) Lot-sizing and scheduling problem with earliness tardiness and setup penalties. Comput Ind Eng 58(3):363–372CrossRef
Zurück zum Zitat Tempelmeier H, Buschkühl L (2008) Dynamic multi-machine lotsizing and sequencing with simultaneous scheduling of a common setup resource. Int J Prod Econ 113(1):401–412CrossRef Tempelmeier H, Buschkühl L (2008) Dynamic multi-machine lotsizing and sequencing with simultaneous scheduling of a common setup resource. Int J Prod Econ 113(1):401–412CrossRef
Zurück zum Zitat Tiacci L, Saetta S (2012) Demand forecasting, lot sizing and scheduling on a rolling horizon basis. Int J Prod Econ 140(2):803–814CrossRef Tiacci L, Saetta S (2012) Demand forecasting, lot sizing and scheduling on a rolling horizon basis. Int J Prod Econ 140(2):803–814CrossRef
Zurück zum Zitat Toledo CFM, Arantes MDS, de Oliveira RRR, Almada-Lobo B (2013) Glass container production scheduling through hybrid multi-population based evolutionary algorithm. Appl Soft Comput 13(3):1352–1364 Toledo CFM, Arantes MDS, de Oliveira RRR, Almada-Lobo B (2013) Glass container production scheduling through hybrid multi-population based evolutionary algorithm. Appl Soft Comput 13(3):1352–1364
Zurück zum Zitat Toledo CFM, de Jesus Filho JEF, França PM (2008) Meta-heuristic approaches for a soft drink industry problem. IEEE Int Conf Emerg Technol Fact Autom 2008:1384–1391 Toledo CFM, de Jesus Filho JEF, França PM (2008) Meta-heuristic approaches for a soft drink industry problem. IEEE Int Conf Emerg Technol Fact Autom 2008:1384–1391
Zurück zum Zitat Toledo CFM, de Oliveira L, de Freitas Pereira R, França PM, Morabito R (2014) A genetic algorithm/mathematical programming approach to solve a two-level soft drink production problem. Comput Oper Res 48(1):40–52CrossRef Toledo CFM, de Oliveira L, de Freitas Pereira R, França PM, Morabito R (2014) A genetic algorithm/mathematical programming approach to solve a two-level soft drink production problem. Comput Oper Res 48(1):40–52CrossRef
Zurück zum Zitat Toledo CFM, de Oliveira L, de Oliveira RRR, Pereira MR (2010) Parallel genetic algorithm approaches applied to solve a synchronized and integrated lot sizing and scheduling problem. In: Proceedings of the 2010 ACM symposium on applied computing (SAC’10). ACM, New York, pp 1148–1152 Toledo CFM, de Oliveira L, de Oliveira RRR, Pereira MR (2010) Parallel genetic algorithm approaches applied to solve a synchronized and integrated lot sizing and scheduling problem. In: Proceedings of the 2010 ACM symposium on applied computing (SAC’10). ACM, New York, pp 1148–1152
Zurück zum Zitat Toledo CFM, França PM, Morabito R, Kimms A (2009) Multi-population genetic algorithm to solve the synchronized and integrated two-level lot sizing and scheduling problem. Int J Prod Res 47(11):3097–3119CrossRef Toledo CFM, França PM, Morabito R, Kimms A (2009) Multi-population genetic algorithm to solve the synchronized and integrated two-level lot sizing and scheduling problem. Int J Prod Res 47(11):3097–3119CrossRef
Zurück zum Zitat Toledo CFM, França PM, Rosa KA (2008) Evaluating genetic algorithms with different population structures on a lot sizing and scheduling problem. In: Proceedings of the 2008 ACM symposium on applied computing (Fortaleza. Ceara, Brazil), pp 1777–1781 Toledo CFM, França PM, Rosa KA (2008) Evaluating genetic algorithms with different population structures on a lot sizing and scheduling problem. In: Proceedings of the 2008 ACM symposium on applied computing (Fortaleza. Ceara, Brazil), pp 1777–1781
Zurück zum Zitat Toledo CFM, Kimms A, França PM, Morabito R (2006) A mathematical model for the synchronized and integrated two-level lot sizing and scheduling problem. University of Campinas, Brazil Toledo CFM, Kimms A, França PM, Morabito R (2006) A mathematical model for the synchronized and integrated two-level lot sizing and scheduling problem. University of Campinas, Brazil
Zurück zum Zitat Toledo CFM, Kimms A, França PM, Morabito R (2015) The synchronized and integrated two-level lot sizing and scheduling problem: evaluating the generalized mathematical model. Math Probl Eng (Article ID 182781) Toledo CFM, Kimms A, França PM, Morabito R (2015) The synchronized and integrated two-level lot sizing and scheduling problem: evaluating the generalized mathematical model. Math Probl Eng (Article ID 182781)
Zurück zum Zitat Toso EAV, Morabito R, Clark AR (2009) Lot sizing and sequencing optimisation at an animal-feed plant. Comput Ind Eng 57(3):813–821CrossRef Toso EAV, Morabito R, Clark AR (2009) Lot sizing and sequencing optimisation at an animal-feed plant. Comput Ind Eng 57(3):813–821CrossRef
Zurück zum Zitat Transchel S, Minner S, Kallrath J, Löhndorf N, Eberhard U (2011) A hybrid general lot-sizing and scheduling formulation for a production process with a two-stage product structure. Int J Prod Res 49(9):2463–2480CrossRef Transchel S, Minner S, Kallrath J, Löhndorf N, Eberhard U (2011) A hybrid general lot-sizing and scheduling formulation for a production process with a two-stage product structure. Int J Prod Res 49(9):2463–2480CrossRef
Zurück zum Zitat Urrutia EDG, Aggoune R, Dauzère-Pérères S (2014) Solving the integrated lot-sizing and job-shop scheduling problem. Int J Prod Res 17(52):5236–5254CrossRef Urrutia EDG, Aggoune R, Dauzère-Pérères S (2014) Solving the integrated lot-sizing and job-shop scheduling problem. Int J Prod Res 17(52):5236–5254CrossRef
Zurück zum Zitat van Eijl CA, van Hoesel CPM (1997) On the discrete lot-sizing and scheduling problem with Wagner–Whitin costs. Oper Res Lett 20(1):7–13CrossRef van Eijl CA, van Hoesel CPM (1997) On the discrete lot-sizing and scheduling problem with Wagner–Whitin costs. Oper Res Lett 20(1):7–13CrossRef
Zurück zum Zitat van Hoesel S, Kolen A (1994) A linear description of the discrete lot-sizing and scheduling problem. Eur J Oper Res 75(2):342–353CrossRef van Hoesel S, Kolen A (1994) A linear description of the discrete lot-sizing and scheduling problem. Eur J Oper Res 75(2):342–353CrossRef
Zurück zum Zitat Vanderbeck F (1998) Lot-sizing with start-up times. Manag Sci 44(10):1409–1425CrossRef Vanderbeck F (1998) Lot-sizing with start-up times. Manag Sci 44(10):1409–1425CrossRef
Zurück zum Zitat Wagner HM, Whitin TM (1958) Dynamic version of the economic lot size model. Manag Sci 5(1):89–96CrossRef Wagner HM, Whitin TM (1958) Dynamic version of the economic lot size model. Manag Sci 5(1):89–96CrossRef
Zurück zum Zitat Wolosewicz C, Dauzère-Pérès S, Aggoune R (2015) A Lagrangian heuristic for an integrated lot-sizing and fixed scheduling problem. Eur J Oper Res 244(1):3–12CrossRef Wolosewicz C, Dauzère-Pérès S, Aggoune R (2015) A Lagrangian heuristic for an integrated lot-sizing and fixed scheduling problem. Eur J Oper Res 244(1):3–12CrossRef
Zurück zum Zitat Wolsey LA (1997) MIP modelling of changeovers in production planning and scheduling problems. Eur J Oper Res 99(1):154–165CrossRef Wolsey LA (1997) MIP modelling of changeovers in production planning and scheduling problems. Eur J Oper Res 99(1):154–165CrossRef
Zurück zum Zitat Wolsey LA (2002) Solving multi-item lot-sizing problems with an MIP solver using classification and reformulation. Manag Sci 48(12):1587–1602CrossRef Wolsey LA (2002) Solving multi-item lot-sizing problems with an MIP solver using classification and reformulation. Manag Sci 48(12):1587–1602CrossRef
Zurück zum Zitat Xiao J, Yang H, Zhang C, Zheng L, Gupta JND (2015) A hybrid lagrangian-simulated annealing-based heuristic for the parallel-machine capacitated lot-sizing and scheduling problem with sequence-dependent setup times. Comput Oper Res 63:72–82CrossRef Xiao J, Yang H, Zhang C, Zheng L, Gupta JND (2015) A hybrid lagrangian-simulated annealing-based heuristic for the parallel-machine capacitated lot-sizing and scheduling problem with sequence-dependent setup times. Comput Oper Res 63:72–82CrossRef
Zurück zum Zitat Xiao J, Zhang C, Zheng L, Gupta JND (2013) MIP-based fix-and-optimise algorithms for the parallel machine capacitated lot-sizing and scheduling problem. Int J Prod Res 51(16):5011–5028CrossRef Xiao J, Zhang C, Zheng L, Gupta JND (2013) MIP-based fix-and-optimise algorithms for the parallel machine capacitated lot-sizing and scheduling problem. Int J Prod Res 51(16):5011–5028CrossRef
Zurück zum Zitat Zhu X, Wilhelm WE (2006) Scheduling and lot sizing with sequence-dependent setup: a literature review. IIE Trans 38(11):987–1007CrossRef Zhu X, Wilhelm WE (2006) Scheduling and lot sizing with sequence-dependent setup: a literature review. IIE Trans 38(11):987–1007CrossRef
Metadaten
Titel
Simultaneous lotsizing and scheduling problems: a classification and review of models
verfasst von
Karina Copil
Martin Wörbelauer
Herbert Meyr
Horst Tempelmeier
Publikationsdatum
01.02.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
OR Spectrum / Ausgabe 1/2017
Print ISSN: 0171-6468
Elektronische ISSN: 1436-6304
DOI
https://doi.org/10.1007/s00291-015-0429-4

Weitere Artikel der Ausgabe 1/2017

OR Spectrum 1/2017 Zur Ausgabe