Skip to main content
Erschienen in: Neural Computing and Applications 6/2012

01.09.2012 | LSMS2010 and ICSEE 2010

A hybrid genetic algorithm for two-stage multi-item inventory system with stochastic demand

verfasst von: Yuli Zhang, Shiji Song, Heming Zhang, Cheng Wu, Wenjun Yin

Erschienen in: Neural Computing and Applications | Ausgabe 6/2012

Einloggen

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

search-config
loading …

Abstract

We study a two-stage, multi-item inventory system where stochastic demand occurs at stage 1, and nodes at stage 1 replenish their inventory from stage 2. Due to the complexity of stochastic inventory optimization in multi-echelon system, few analytical models and effective algorithms exist. In this paper, we establish exact stochastic optimization models by proposing a well-defined supply–demand process analysis and provide an efficient hybrid genetic algorithm (HGA) by introducing a heuristic search technique based on the tradeoff between the inventory cost and setup cost and improving the initial solution. Monte Carlo method is also introduced to simulate the actual demand and thus to approximate the long-run average cost. By numerical experiments, we compare the widely used installation policy and echelon policy and show that when variance of stochastic demand increase, echelon policy outperforms installation policy and, furthermore, the proposed heuristic search technique greatly enhances the search capacity of HGA.

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 "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

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!

Literatur
1.
Zurück zum Zitat Giimiis AT, Guneri AF (2007) Multi-echelon inventory management in supply chains with uncertain demand and lead times: literature review from an operational research perspective. In: Proceedings of the institution of mechanical engineers, Part B J Eng Manuf. Professional Engineering, Publishing, London, pp 1553–1570 Giimiis AT, Guneri AF (2007) Multi-echelon inventory management in supply chains with uncertain demand and lead times: literature review from an operational research perspective. In: Proceedings of the institution of mechanical engineers, Part B J Eng Manuf. Professional Engineering, Publishing, London, pp 1553–1570
2.
Zurück zum Zitat Clark AJ, Scarf H (2004) Optimal policies for a multi-echelon inventory problem. Manag Sci 50(12):1782–1790CrossRef Clark AJ, Scarf H (2004) Optimal policies for a multi-echelon inventory problem. Manag Sci 50(12):1782–1790CrossRef
3.
Zurück zum Zitat Bsssler SA, Veinott AF (2006) Optimal policy for a dynamic multi-echelon inventory model. Nav Res Logist Quart 13(4):355–399CrossRef Bsssler SA, Veinott AF (2006) Optimal policy for a dynamic multi-echelon inventory model. Nav Res Logist Quart 13(4):355–399CrossRef
4.
Zurück zum Zitat Axsater S, Rosling K (1993) Installation versus echelon stock policies for multi-level inventory control. Manag Sci 39:1274–1280CrossRef Axsater S, Rosling K (1993) Installation versus echelon stock policies for multi-level inventory control. Manag Sci 39:1274–1280CrossRef
5.
Zurück zum Zitat Zipkin PH (2000) Foundations of inventory management. McGraw-Hill, Boston Zipkin PH (2000) Foundations of inventory management. McGraw-Hill, Boston
6.
Zurück zum Zitat Roundy RO (1993) Efficient, effective lot sizing for multistage production systems. Oper Res 41:371–385MATHCrossRef Roundy RO (1993) Efficient, effective lot sizing for multistage production systems. Oper Res 41:371–385MATHCrossRef
7.
Zurück zum Zitat Simpson NC, Selcuk Erenguc S (2005) Modeling multiple stage manufacturing systems with generalized costs and capacity issues. Nav Res Logist 52(6):560–570MATHCrossRef Simpson NC, Selcuk Erenguc S (2005) Modeling multiple stage manufacturing systems with generalized costs and capacity issues. Nav Res Logist 52(6):560–570MATHCrossRef
8.
Zurück zum Zitat Axsater S, Zhang W-F (1999) A joint replenishment policy for multi-echelon inventory control. Int J Prod Econ 59:243–250CrossRef Axsater S, Zhang W-F (1999) A joint replenishment policy for multi-echelon inventory control. Int J Prod Econ 59:243–250CrossRef
9.
Zurück zum Zitat Iida T (2001) The infinite horizon non-stationary stochastic multi-echelon inventory problem and near-myopic policies. Eur J Opl Res 134:525–539MathSciNetMATHCrossRef Iida T (2001) The infinite horizon non-stationary stochastic multi-echelon inventory problem and near-myopic policies. Eur J Opl Res 134:525–539MathSciNetMATHCrossRef
10.
Zurück zum Zitat Jokar MRA, Seifbarghy M (2006) Cost evaluation of a two-echelon inventory system with lost sales and approximately poisson demand. Int J Prod Econ 102(2):244–254CrossRef Jokar MRA, Seifbarghy M (2006) Cost evaluation of a two-echelon inventory system with lost sales and approximately poisson demand. Int J Prod Econ 102(2):244–254CrossRef
11.
Zurück zum Zitat Mohebbi E, Posner M (1998) Continuous-review inventory system with lost sales and variable leadtime. Nav Res Logist 45(3):259–278MathSciNetMATHCrossRef Mohebbi E, Posner M (1998) Continuous-review inventory system with lost sales and variable leadtime. Nav Res Logist 45(3):259–278MathSciNetMATHCrossRef
12.
Zurück zum Zitat Chiang W, Monahan GE (2005) Managing inventories in a two-echelon dual-channel supply chain. Eur J Oper Res 162(2):325–341MATHCrossRef Chiang W, Monahan GE (2005) Managing inventories in a two-echelon dual-channel supply chain. Eur J Oper Res 162(2):325–341MATHCrossRef
13.
Zurück zum Zitat Gumus AT, Guneri A (2009) A multi-echelon inventory management framework for stochastic and fuzzy supply chains. Exp Syst Appl 36:5575 Gumus AT, Guneri A (2009) A multi-echelon inventory management framework for stochastic and fuzzy supply chains. Exp Syst Appl 36:5575
14.
Zurück zum Zitat Wang S (1996) Neural controller for business yield management. Neural Comput Appl 4(3):183–189CrossRef Wang S (1996) Neural controller for business yield management. Neural Comput Appl 4(3):183–189CrossRef
15.
Zurück zum Zitat Xiaobo Z, Fan F, Xiaoliang L, Jinxing X (2007) Storage-space capacitated inventory system with (r, Q) policies. Oper Res 55(5):854–865MathSciNetMATHCrossRef Xiaobo Z, Fan F, Xiaoliang L, Jinxing X (2007) Storage-space capacitated inventory system with (r, Q) policies. Oper Res 55(5):854–865MathSciNetMATHCrossRef
16.
Zurück zum Zitat Kevin HS, Sean XZ (2009) Optimal and heuristic echelon (r, nQ, T) policies in serial inventory systems with fixed Costs. Oper Res, in advance, pp 1–14 Kevin HS, Sean XZ (2009) Optimal and heuristic echelon (r, nQ, T) policies in serial inventory systems with fixed Costs. Oper Res, in advance, pp 1–14
17.
Zurück zum Zitat Hongwei W, Min G, Janet E (2004) A game-theoretical cooperative mechanism design for a two-echelon decentralized supply chain. Eur J Oper Res 157:372–388MATHCrossRef Hongwei W, Min G, Janet E (2004) A game-theoretical cooperative mechanism design for a two-echelon decentralized supply chain. Eur J Oper Res 157:372–388MATHCrossRef
18.
Zurück zum Zitat Hongwei W, Huixin L, Jian-bo Y (2009) Dynamic analysis of a two-stage supply chain-a switched system theory approach. Int J Adv Manuf Tech 43:200–210CrossRef Hongwei W, Huixin L, Jian-bo Y (2009) Dynamic analysis of a two-stage supply chain-a switched system theory approach. Int J Adv Manuf Tech 43:200–210CrossRef
19.
Zurück zum Zitat Yuli Z, Shiji S, Cheng W, Wenjun Y (2010) Stochastic optimization of two-stage multi-item inventory system with hybrid genetic algorithm. LSMS/ICSEE 2010 Part II, LNCS 6329. Springer-Verlag, Berlin Heidelberg, pp 484–492 Yuli Z, Shiji S, Cheng W, Wenjun Y (2010) Stochastic optimization of two-stage multi-item inventory system with hybrid genetic algorithm. LSMS/ICSEE 2010 Part II, LNCS 6329. Springer-Verlag, Berlin Heidelberg, pp 484–492
20.
Zurück zum Zitat Van Slyke RM, Wets Roger (1969) L-shaped linear programs with application to optimal control and stochastic programming. J Appl Math 17(4):638–663MATH Van Slyke RM, Wets Roger (1969) L-shaped linear programs with application to optimal control and stochastic programming. J Appl Math 17(4):638–663MATH
21.
Zurück zum Zitat Holland JH (1975) Adaptation in natural and artificial systems. University of Michigan Press, Ann Arbor Holland JH (1975) Adaptation in natural and artificial systems. University of Michigan Press, Ann Arbor
22.
Zurück zum Zitat Zhengjun P, Lishan K, Yuping C (1998) Evolutionary computation. Tsinghua University Press, Beijing Zhengjun P, Lishan K, Yuping C (1998) Evolutionary computation. Tsinghua University Press, Beijing
23.
Zurück zum Zitat Maiti AK, Bhunia AK, Maiti M (2006) An application of real-coded genetic algorithm (RCGA) for mixed integer non-linear programming in two-storage multi-item inventory model with discount policy. Appl Math Comput 183(2):903–915MathSciNetMATHCrossRef Maiti AK, Bhunia AK, Maiti M (2006) An application of real-coded genetic algorithm (RCGA) for mixed integer non-linear programming in two-storage multi-item inventory model with discount policy. Appl Math Comput 183(2):903–915MathSciNetMATHCrossRef
24.
Zurück zum Zitat Moon IK, Cha BC, Bae HC (2006) Hybrid genetic algorithm for group technology economic lot scheduling problem. Int J Prod Res 44(21):4551–4568MATHCrossRef Moon IK, Cha BC, Bae HC (2006) Hybrid genetic algorithm for group technology economic lot scheduling problem. Int J Prod Res 44(21):4551–4568MATHCrossRef
25.
Zurück zum Zitat Paul RJ, Chanev TS (1997) Optimizing a complex discrete event simulation model using a genetic algorithm. Neural Comput Appl 6(4):229–237CrossRef Paul RJ, Chanev TS (1997) Optimizing a complex discrete event simulation model using a genetic algorithm. Neural Comput Appl 6(4):229–237CrossRef
26.
Zurück zum Zitat Yuli Z, Shiji S, Cheng W, Wenjun Y (2009) Multi-echelon inventory management with uncertain demand via improved real-coded genetic algorithm. In: Proceedings of the international symposium on intelligent information systems and applications. Academy Publisher, Oulu, pp 231–236 Yuli Z, Shiji S, Cheng W, Wenjun Y (2009) Multi-echelon inventory management with uncertain demand via improved real-coded genetic algorithm. In: Proceedings of the international symposium on intelligent information systems and applications. Academy Publisher, Oulu, pp 231–236
27.
Zurück zum Zitat Sven A (2000) Inventory control. Kluwer Academic Publishers, Boston Sven A (2000) Inventory control. Kluwer Academic Publishers, Boston
28.
Zurück zum Zitat Baoding L, Ruiqing Z (1998) Stochastic programming and fuzzy programming. Tsinghua University Press, Beijing Baoding L, Ruiqing Z (1998) Stochastic programming and fuzzy programming. Tsinghua University Press, Beijing
29.
Zurück zum Zitat Bertsekas DP (1999) Nonlinear programming. Athena Scientific, BelmontMATH Bertsekas DP (1999) Nonlinear programming. Athena Scientific, BelmontMATH
Metadaten
Titel
A hybrid genetic algorithm for two-stage multi-item inventory system with stochastic demand
verfasst von
Yuli Zhang
Shiji Song
Heming Zhang
Cheng Wu
Wenjun Yin
Publikationsdatum
01.09.2012
Verlag
Springer-Verlag
Erschienen in
Neural Computing and Applications / Ausgabe 6/2012
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-011-0658-7

Weitere Artikel der Ausgabe 6/2012

Neural Computing and Applications 6/2012 Zur Ausgabe