A hybrid Lagrangian-simulated annealing-based heuristic for the parallel-machine capacitated lot-sizing and scheduling problem with sequence-dependent setup times

Computers and Operations Research

Volumn 63, Issue , 2015, Pages 72-82

  Xiao, Jing ^a   Yang, Huasheng ^a   Zhang, Canrong ^a   Zheng, Li ^a   Gupta, Jatinder N D ^b  

^a TSINGHUA UNIVERSITY   (China)

^b UNIVERSITY OF ALABAMA IN HUNTSVILLE   (United States)

Author keywords

Capacitated lot sizing and scheduling; Lagrangian relaxation; Sequence dependent setup; Simulated annealing; Unrelated parallel machines

Indexed keywords

ALGORITHMS; HEURISTIC ALGORITHMS; INTEGER PROGRAMMING; LAGRANGE MULTIPLIERS; MANUFACTURE; OPTIMIZATION; SCHEDULING ALGORITHMS; SEMICONDUCTOR DEVICE MANUFACTURE; SIMULATED ANNEALING;

CAPACITATED LOT SIZING; LAGRANGIAN RELAXATION; MIXED INTEGER PROGRAMMING MODEL; SEMICONDUCTOR MANUFACTURING INDUSTRY; SEQUENCE DEPENDENT SETUPS; SEQUENCE-DEPENDENT SETUP TIME; SIMULATED ANNEALING ALGORITHMS; UNRELATED PARALLEL MACHINES;

SCHEDULING;

EID: 84929643507     PISSN: 03050548     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cor.2015.04.010     Document Type: Article

References (38)

1. E. Hans, and S.v.d. Velde The lot sizing and scheduling of sand casting operations Int J Prod Res 49 9 2011 2481 2499
2. L. Tang, Y. Meng, and J. Liu An improved Lagrangean relaxation algorithm for the dynamic batching decision problem Int J Prod Res 49 9 2011 2501 2517
3. S. Transchel, S. Minner, J. Kallrath, N. Löhndorf, and U. Eberhard A hybrid general lot-sizing and scheduling formulation for a production process with a two-stage product structure Int J Prod Res 49 9 2011 2457 2461
4. M. Florian, J. Lenstra, and A.R. Kan Deterministic production planning algorithms and complexity Manag Sci 26 7 1980 669 679
5. B. Karimi, S.M.T. Fatemi-Ghomi, and J.M. Wilson A Tabu search heuristic for solving the CLSP with backlogging and set-up carry-over J Oper Res Soc 57 2 2006 140 147
6. L. Özdamar,Bilbil, and M.-C. Portmann Technical note: new results for the capacitated lot sizing problem with overtime decisions and setup times Prod Planning & Control 13 1 2002 2 10
7. K.S. Hindi, K. Fleszar, and C. Charalambous An effective heuristic for the CLSP with set-up times J Oper Res Soc 54 5 2003 490 498
8. L. Özdamar, and G. Barbarosoʇlu Hybrid heuristics for the multi-stage capacitated lot sizing and loading problem J Oper Res Soc 50 8 1999 810 825
9. H. Stadtler Multilevel lot sizing with setup times and multiple constrained resources: internally rolling schedules with lot-sizing windows Oper Res 51 3 2003 487 502
10. F. Sahling, L. Buschkühl, H. Tempelmeier, and S. Helber Solving a multi-level capacitated lot sizing problem with multi-period setup carry-over via a fix-and-optimize heuristic Comput Oper Res 36 9 2009 2546 2553
11. T. Wu, L. Shi, and J. Song An MIP-based interval heuristic for the capacitated multi-level lot-sizing problem with setup times Online first Ann Oper Res 2011 10.1007/s10479-011-1026-9
12. F.M.B. Toledo, and V.A. Armentano A Lagrangian-based heuristic for the capacitated lot-sizing problem in parallel machines Eur J Oper Res 175 2 2006 1070 1083
13. R.G. Gonzalez-Ramirez, N.R. Smith, and R.G. Askin A heuristic approach for a multi-product capacitated lot-sizing problem with pricing Int J Prod Res 49 4 2011 1173 1196
14. Z. Degraeve, and R. Jans A new Dantzig-Wolfe reformulation and Branch-and-Price algorithm for the capacitated lot-sizing problem with setup times Oper Res 55 5 2007 909 920
15. T. Wu, L. Shi, and N.A. Duffie An HNP-MP approach for the capacitated multi-item lot sizing problem with setup times IEEE Trans Autom Sci Eng 7 3 2010 500 511
16. K. Haase Capacitated lot-sizing with sequence dependent setup costs OR Spectrum 18 1 1996 51 59
17. A. Kovács, K.N. Brown, and S.A. Tarim An efficient MIP model for the capacitated lot-sizing and scheduling problem with sequence-dependent setups Int J Prod Econ 118 1 2009 282 291
18. P. Beraldi, G. Ghiani, A. Grieco, and E. Guerriero Rolling-horizon and fix-and-relax heuristics for the parallel machine lot-sizing and scheduling problem with sequence-dependent set-up costs Comput Oper Res 35 11 2008 3644 3656
19. J.C. Lang, and Z.-J.M. Shen Fix-and-optimize heuristics for capacitated lot-sizing with sequence-dependent setups and substitutions Eur J Oper Res 214 3 2011 595 605
20. R.J.W. James, and B. Almada-Lobo Single and parallel machine capacitated lotsizing and scheduling: new iterative MIP-based neighborhood search heuristics Comput Oper Res 38 12 2011 1816 1825
21. K. Haase Lotsizing and scheduling for production planning 1994 Springer Berlin
22. P. Porkka, A.P.J. Vepsäläinen, and M. Kuula Multiperiod production planning carrying over set-up time Int J Prod Res 41 6 2003 1133 1148
23. C.R. Sox, and Y. Gao The capacitated lot sizing problem with setup carry-over IIE Trans 31 2 1999 173 181
24. M. Gopalakrishnan, D. Ke, J.-M. Bourjolly, and S. Mohan A Tabu-search heuristic for the capacitated lot-sizing problem with set-up carryover Manag Sci 47 6 2001 851 863
25. A. Clark, B. Almada-Lobo, and C. Almeder Lot sizing and scheduling: industrial extensions and research opportunities Int J Prod Res 49 9 2011 2457 2461
26. B. Karimi, S.M.T. Fatemi Ghomi, and J.M. Wilson The capacitated lot sizing problem: a review of models and algorithms Omega 31 5 2003 365 378
27. Y. Song, and G.H. Chan Single item lot-sizing problems with backlogging on a single machine at a finite production rate Eur J Oper Res 161 1 2005 191 202
28. K. AkartunalI, and A.J. Miller A heuristic approach for big bucket multi-level production planning problems Eur J Oper Res 193 2 2009 396 411
29. T. Wu, L. Shi, J. Geunes, and K. AkartunalI An optimization framework for solving capacitated multi-level lot-sizing problems with backlogging Eur J Oper Res 214 2 2011 428 441
30. L.A. Wolsey Lot-sizing with production and delivery time windows Math Program 107 3 2006 471 489
31. N. Brahimi, S. Dauzere-Peres, and L.A. Wolsey Polyhedral and Lagrangian approaches for lot sizing with production time windows and setup times Comput Oper Res 37 1 2010 182 188
32. N. Absia, S. Kedad-Sidhoum, and S. Dauzere-Peres Uncapacitated lot-sizing problem with production time windows, early productions, backlogs and lost sales Int J Prod Res 49 9 2011 2551 2566
33. M.L. Pinedo Scheduling theory, algorithms and systems 3rd ed 2008 Springer New York
34. D. Quadt, and H. Kuhn Capacitated lot-sizing and scheduling with parallel machines, back-orders, and setup carry-over Nav Res Logist 56 4 2009 366 384
35. H. Meyr Simultaneous lotsizing and scheduling by combining local search with dual reoptimization Eur J Oper Res 120 2 2000 311 326
36. H. Meyr Simultaneous lotsizing and scheduling on parallel machines Eur J Oper Res 139 2 2002 277 292
37. M.L. Fisher The Lagrangian relaxation method for solving integer programming problems Manag Sci 27 1 1981 1 18
38. M. Held, P. Wolfe, and H.P. Crowder Validation of subgradient optimization Math Program 6 1 1974 62 88