Skip to main content

2012 | OriginalPaper | Buchkapitel

7. No-Wait Scheduling Problems with Batching Machines

verfasst von : A. Oulamara

Erschienen in: Just-in-Time Systems

Verlag: Springer New York

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

search-config
loading …

Abstract

Scheduling problems with batching operation are largely considered in the literature of the last decade. Batching means that sets of jobs which are processed on the same machine are grouped together into batches. One distinguish in the literature of scheduling two types of batching, namely, parallel batching and serial batching. In parallel batching, jobs are processed simultaneously so that the processing time of batch is given by the largest processing times of jobs of this batch. In serial batching, jobs are processed sequentially so that the processing of batch is given by the total processing times of jobs of this batch. This chapter focuses on several problems of no-wait scheduling problem including batching machines. Theoretical and experimental results are presented and some future researches are discussed.

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

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!

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"

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!

Literatur
1.
2.
Zurück zum Zitat Bellanger, A., Oulamara, A.: Scheduling hybrid flowshop with parallel batching machines and compatibilities. Computers and Operations Research 36(6), 1982–1992 (2009)MATHCrossRef Bellanger, A., Oulamara, A.: Scheduling hybrid flowshop with parallel batching machines and compatibilities. Computers and Operations Research 36(6), 1982–1992 (2009)MATHCrossRef
3.
Zurück zum Zitat Boudhar, M.: Dynamic scheduling on a single batch processing machine with split compatibility graphs. Journal of Mathematical Modelling and Algorithms 2, 17–35 (2003)MATHCrossRefMathSciNet Boudhar, M.: Dynamic scheduling on a single batch processing machine with split compatibility graphs. Journal of Mathematical Modelling and Algorithms 2, 17–35 (2003)MATHCrossRefMathSciNet
4.
Zurück zum Zitat Boudhar, M., Finke, G.: Scheduling on a batch machine with job compatibilities. Belgian journal of operations research, statistics and computer science 40, 69–80 (2000)MATHMathSciNet Boudhar, M., Finke, G.: Scheduling on a batch machine with job compatibilities. Belgian journal of operations research, statistics and computer science 40, 69–80 (2000)MATHMathSciNet
5.
Zurück zum Zitat Brucker, P., Gladky, A., Hoogeveen, J.A., Kovalyov, M.Y., Potts, C.N., Tautenhahn, T., Van de Velde, and S.L.: Scheduling a batch processing machine. Journal of Scheduling 1, 31–54 (1998) Brucker, P., Gladky, A., Hoogeveen, J.A., Kovalyov, M.Y., Potts, C.N., Tautenhahn, T., Van de Velde, and S.L.: Scheduling a batch processing machine. Journal of Scheduling 1, 31–54 (1998)
6.
Zurück zum Zitat Brucker, P., Kovalyov, M.Y.: Single machine batch scheduling to minimize the weighted number of late jobs. Mathematical Methods of Operations Research 43, 1–8 (1996)MATHCrossRefMathSciNet Brucker, P., Kovalyov, M.Y.: Single machine batch scheduling to minimize the weighted number of late jobs. Mathematical Methods of Operations Research 43, 1–8 (1996)MATHCrossRefMathSciNet
7.
Zurück zum Zitat Cheng, T.C.E., Liu, Z., Yu, W.: Scheduling jobs with release dates and deadlines on a batch processing machine. IIE Transactions 33(8), 685–690 (2001)CrossRef Cheng, T.C.E., Liu, Z., Yu, W.: Scheduling jobs with release dates and deadlines on a batch processing machine. IIE Transactions 33(8), 685–690 (2001)CrossRef
8.
Zurück zum Zitat Coffman Jr., E.G., Yannakakis, M., Magazine, M.J., Santos, C.A.: Batch sizing and job sequencing on a single machine. Annals of Operations Research 26, 135–147 (1990)MATHCrossRefMathSciNet Coffman Jr., E.G., Yannakakis, M., Magazine, M.J., Santos, C.A.: Batch sizing and job sequencing on a single machine. Annals of Operations Research 26, 135–147 (1990)MATHCrossRefMathSciNet
9.
Zurück zum Zitat Deng, X., Feng, H., Zhang, P., Zhang, Y., Zhu, H.: Minimizing mean completion time in a batch processing system. Algorithmica 38(4), 513–528 (2004)MATHCrossRefMathSciNet Deng, X., Feng, H., Zhang, P., Zhang, Y., Zhu, H.: Minimizing mean completion time in a batch processing system. Algorithmica 38(4), 513–528 (2004)MATHCrossRefMathSciNet
10.
Zurück zum Zitat De Werra, D., Demange, M., Escoffier, B., Monnot, J., Paschos, V. Th.: Weighted coloring on planar, bipartite and split graphs : Complexity and approximation. Discrete Applied Mathematics 157(4), 819–832 (2009)MATHCrossRefMathSciNet De Werra, D., Demange, M., Escoffier, B., Monnot, J., Paschos, V. Th.: Weighted coloring on planar, bipartite and split graphs : Complexity and approximation. Discrete Applied Mathematics 157(4), 819–832 (2009)MATHCrossRefMathSciNet
12.
Zurück zum Zitat Garey, M.R., Johnson, D.S.: Computers and Intractability: A Guide to NP-completeness. W.H. Freeman, San Francisco (1979)MATH Garey, M.R., Johnson, D.S.: Computers and Intractability: A Guide to NP-completeness. W.H. Freeman, San Francisco (1979)MATH
13.
Zurück zum Zitat Gavranovic, H., Finke, G.: Graph partitioning and set covering for optimal design of production system in the metal industry. In Proceedings of the second Conference on Management and Control of Production and Logistics - MCPL’00, Grenoble (2000) Gavranovic, H., Finke, G.: Graph partitioning and set covering for optimal design of production system in the metal industry. In Proceedings of the second Conference on Management and Control of Production and Logistics - MCPL’00, Grenoble (2000)
14.
Zurück zum Zitat Gilmore, P.C., Gomory, R. E.: Sequencing a one state-variable machine: A solvable case of the traveling salesman problem. Operations Research 12, 655–679 (1964)MATHCrossRefMathSciNet Gilmore, P.C., Gomory, R. E.: Sequencing a one state-variable machine: A solvable case of the traveling salesman problem. Operations Research 12, 655–679 (1964)MATHCrossRefMathSciNet
15.
Zurück zum Zitat Glass, C.A., Potts, C.N., Strusevich, V.A.: Scheduling Batches with Sequential Job Processing for Two-Machine Flow and Open Shops. Informs Journal on computing 13(2), 120–137 (2001)MATHCrossRefMathSciNet Glass, C.A., Potts, C.N., Strusevich, V.A.: Scheduling Batches with Sequential Job Processing for Two-Machine Flow and Open Shops. Informs Journal on computing 13(2), 120–137 (2001)MATHCrossRefMathSciNet
16.
Zurück zum Zitat Graham, R.L., Lawler, E.L., Lenstra, J.K., Rimooy Kan, A.H.G.: Optimization and approximation in deterministic sequencing and scheduling : a survey. Annals of Discrete Mathematics 5, 287–326 (1979) Graham, R.L., Lawler, E.L., Lenstra, J.K., Rimooy Kan, A.H.G.: Optimization and approximation in deterministic sequencing and scheduling : a survey. Annals of Discrete Mathematics 5, 287–326 (1979)
17.
Zurück zum Zitat Oulamara, A., Finke, G., Kamgaing Kuiten, A.: Flowshop scheduling problem with batching machine and task compatibilities. Computers & Operations Research 36(2), 391–401 (2009) Oulamara, A., Finke, G., Kamgaing Kuiten, A.: Flowshop scheduling problem with batching machine and task compatibilities. Computers & Operations Research 36(2), 391–401 (2009)
18.
Zurück zum Zitat Oulamara, A., Kovalyov, M.Y., Finke, G.: Scheduling a no-wait flowshop with unbounded batching machines. IIE Transactions on Scheduling and logistics 37(8), 685–696 (2005)CrossRef Oulamara, A., Kovalyov, M.Y., Finke, G.: Scheduling a no-wait flowshop with unbounded batching machines. IIE Transactions on Scheduling and logistics 37(8), 685–696 (2005)CrossRef
19.
20.
Zurück zum Zitat Potts, C.N., Strusevich, V.A., Tautenhahn, T.: Scheduling batches with simultaneous job processing for two-machine shop problems. Journal of Scheduling 4(1), 25–51 (2001)MATHCrossRefMathSciNet Potts, C.N., Strusevich, V.A., Tautenhahn, T.: Scheduling batches with simultaneous job processing for two-machine shop problems. Journal of Scheduling 4(1), 25–51 (2001)MATHCrossRefMathSciNet
21.
Zurück zum Zitat Potts, C.N., Van Wassenhove, L.N.: Integrating scheduling with batching and lotsizing : A review of algorithms and complexity. Operations Research Society 42, 395–406 (1992) Potts, C.N., Van Wassenhove, L.N.: Integrating scheduling with batching and lotsizing : A review of algorithms and complexity. Operations Research Society 42, 395–406 (1992)
22.
Zurück zum Zitat Uzsoy, R., Yang, Y.: Minimizing total weighted completion time on a single batch processing machine. Production and Operations Management 6(1), 57–73 (1997)CrossRef Uzsoy, R., Yang, Y.: Minimizing total weighted completion time on a single batch processing machine. Production and Operations Management 6(1), 57–73 (1997)CrossRef
23.
Metadaten
Titel
No-Wait Scheduling Problems with Batching Machines
verfasst von
A. Oulamara
Copyright-Jahr
2012
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4614-1123-9_7