A GRASP heuristic for the multi-objective permutation flowshop scheduling problem

International Journal of Advanced Manufacturing Technology

Volumn 55, Issue 5-8, 2011, Pages 741-753

  Arroyo, José Elias Claudio ^a   De Souza Pereira, Ana Amélia ^a  

^a FEDERAL UNIVERSITY OF VIÇOSA   (Brazil)

Author keywords

Flowshop scheduling; GRASP; Heuristics; Multi objective combinatorial optimization

Indexed keywords

BASIC CONCEPTS; BRANCH-AND-BOUND ALGORITHMS; COMBINATORIAL OPTIMIZATION PROBLEMS; COMPUTATIONAL RESULTS; FLOW-SHOP SCHEDULING; GRASP; GREEDY RANDOMIZED ADAPTIVE SEARCH PROCEDURE; HEURISTICS; MAKESPAN; MAXIMUM TARDINESS; METAHEURISTIC; MULTI OBJECTIVE; MULTI-OBJECTIVE COMBINATORIAL OPTIMIZATION; MULTI-OBJECTIVE GENETIC ALGORITHM; MULTI-OBJECTIVE PROBLEM; NONDOMINATED SOLUTIONS; PARETO DOMINANCE; PERMUTATION FLOWSHOP SCHEDULING PROBLEMS; SCALARIZING FUNCTION; TOTAL FLOWTIME; TWO MACHINES;

COMBINATORIAL OPTIMIZATION; HEURISTIC ALGORITHMS; SCHEDULING ALGORITHMS;

MULTIOBJECTIVE OPTIMIZATION;

EID: 79958849989     PISSN: 02683768     EISSN: 14333015     Source Type: Journal    
DOI: 10.1007/s00170-010-3100-x     Document Type: Article

References (62)

1. MA Al-Fawzana M Haouari 2005 A bi-objective model for robust resource-constrained project scheduling Int J Prod Econ 96 175 187 10.1016/j.ijpe.2004.04.002 (Pubitemid 40200698)
2. VA Armentano JEC Arroyo 2004 An application of a multi-objective tabu search algorithm to a bicriteria flowshop problem J Heuristics 5 463 481 10.1023/B:HEUR.0000045320.79875.e3
3. VA Armentano DP Ronconi 1999 Tabu search for total tardiness minimization in flowshop scheduling problems Comput Oper Res 26 219 235 1656760 0947.90040 10.1016/S0305-0548(98)00060-4 (Pubitemid 29346473)
4. JEC Arroyo VA Armentano 2004 A partial enumeration heuristic for multi-objective flowshop scheduling problems J Oper Res Soc 55 1000 1007 1097.90519 10.1057/palgrave.jors.2601746
5. JEC Arroyo VA Armentano 2005 Genetic local search for multi-objective flowshop scheduling problems Eur J Oper Res 167 717 738 2157067 1077.90023 10.1016/j.ejor.2004.07.017 (Pubitemid 40220087)
6. JEC Arroyo OS Vieira DS Vianna 2008 A GRASP algorithm for the multi-criteria minimum spanning tree problem Ann Oper Res 159 125 133 2388356 1155.90446 10.1007/s10479-007-0263-4
7. R Baños C Gil J Reca J Martínez 2009 Implementation of scatter search for multi objective optimization: a comparative study J Comp Opt Applications 42 3 421 441 1211.90202 10.1007/s10589-007-9121-1
8. JJ Bernardo K-S Lin 1994 An interactive procedure for bi-criteria production scheduling Comput Oper Res 21 677 688 0810.90052 10.1016/0305- 0548(94)90082-5
9. CAC Coello 1999 A comprehensive survey of evolutionary-based multiobjective optimization Knowl Inf Syst 1 3 269 308
10. P Czyzak A Jaskiewicz 1998 Pareto simulated annealing-a metaheuristic technique for multiple objective combinatorial optimization J Multi-Criteria Decis Making 7 34 47 0904.90146 10.1002/(SICI)1099-1360(199801)7:1<34::AID- MCDA161>3.0.CO;2-6 (Pubitemid 128016907)
11. RL Daniels RJ Chambers 1990 Multiobjective flow-shop scheduling Naval Res Logist 37 981 995 0825.90551 10.1002/1520-6750(199012)37:6<981::AID- NAV3220370617>3.0.CO;2-H (Pubitemid 21663943)
12. H Davoudpour M Ashrafi 2009 Solving multi-objective SDST flexible flow shop using GRASP algorithm Int J Adv Manuf Technol 44 737 747 10.1007/s00170-008-1887-5
13. K Deb A Pratap S Agarwal T Meyarivan 2002 A fast and elitist multi-objective genetic algorithms: NSGA2 IEEE J Trans Evol Comput 6 2 182 197 10.1109/4235.996017 (Pubitemid 34555372)
14. P Dileepan T Sen 1988 Bicriterion static scheduling research for a single machine Omega 16 53 59 10.1016/0305-0483(88)90008-4
15. T Feo MGC Resende 1995 Greedy randomizes adaptive search procedures J Glob Optim 6 109 133 1322875 0822.90110 10.1007/BF01096763
16. P Festa MGC Resende 2009 An annotated bibliography of GRASP, part II: applications Int Trans Oper Res 16 131 172 2503007 1168.90582 10.1111/j.1475-3995.2009.00664.x
17. JM Framinan 2008 A fitness-based weighting mechanism for multicriteria flowshop scheduling using genetic algorithms Int J Adv Manuf Technol 43 939 948 10.1007/s00170-008-1771-3
18. JM Framinan R Leisten 2008 A multi-objective iterated greedy search for flowshop scheduling with makespan and flowtime criteria OR Spectr 30 4 787 804 2425487 1193.90099 10.1007/s00291-007-0098-z
19. JM Framinan R Leisten R Ruiz-Usano 2002 Efficient heuristics for flowshop sequencing with the objectives of makespan and flowtime minimization Eur J Oper Res 141 559 569 1081.90555 10.1016/S0377-2217(01)00278-8
20. TD Fry RD Armstrong H Lewis 1989 A framework for single machine multiple objective sequencing research Omega 17 595 607 10.1016/0305-0483(89)90063-7
21. X Gandibleux M Ehrgott 2005 1984-2004-20 years of multiobjective. Metaheuristics. But what about the solution of combinatorial problems with multiple objectives? Lect Notes Comput Sci 3410 33 46 10.1007/978-3-540-31880-4- 3 (Pubitemid 41251754)
22. X Gandibleux A Fréville 2000 Tabu search based procedure for solving the 0-1 multiobjective knapsack problem: the two objectives case J Heur 6 361 383 0969.90079 10.1023/A:1009682532542
23. Geiger MJ (2009) Improvements for multi-objective flow shop scheduling by Pareto Iterated Local Search. In: Proceedings of the 8th Metaheuristics International Conference MIC 2009, Hamburg, 13-16 July 2009, pp 195.1-195.10
24. JND Gupta K Hennig F Werner 2002 Local search heuristics for two-stage flow shop problems with secondary criterion Comput Oper Res 29 123 149 1026.90103 10.1016/S0305-0548(00)00061-7 (Pubitemid 32944292)
25. JND Gupta VR Neppalli F Werner 2001 Minimizing total flow time in a two-machine flowshop problem with minimum makespan Int J Prod Econ 69 323 338 10.1016/S0925-5273(00)00039-6 (Pubitemid 32139255)
26. JND Gupta N Palanimuthu C-L Chen 1999 Designing a tabu search algorithm for the two-stage flow shop problem with secondary criterion Prod Plan Control 10 251 265 10.1080/095372899233217
27. Hansen MP, Jaszkiewicz A (1998) Evaluating the quality of approximations to the nondominated set. Technical Report, Institute of Mathematical Modelling (1998-7), Technical University of Denmark
28. H Hoogeveen 2005 Multicriteria scheduling Eur J Oper Res 167 592 623 2157061 1154.90458 10.1016/j.ejor.2004.07.011 (Pubitemid 40220081)
29. H Ishibuchi T Murata 1998 A multi-objective genetic local search algorithm and its application to flowshop scheduling IEEE Trans Syst, Man, Cyber C, Appl Rev 28 392 403 10.1109/5326.704576 (Pubitemid 128748638)
30. H Ishibuchi T Yoshida T Murata 2003 Balance between genetic local search in memetic algorithms for multiobjective permutation flowshop scheduling IEEE Trans Evol Comput 7 2 204 223 10.1109/TEVC.2003.810752
31. A Jaszkiewicz 2002 Genetic local search for multi-objective combinatorial optimization Eur J Oper Res 137 50 71 1869276 1002.90051 10.1016/S0377-2217(01) 00104-7 (Pubitemid 33127937)
32. DF Jones SK Mirrazavi M Tamiz 2002 Multi-objective meta-heuristics: an overview of the current state-of-the-art Eur J Oper Res 137 1 9 1002.90060 10.1016/S0377-2217(01)00123-0 (Pubitemid 33126005)
33. D Lei 2008 Multi-objective production scheduling: a survey Int J Adv Manuf Technol 43 926 938 10.1007/s00170-008-1770-4
34. H Li D Landa-Silva 2009 An elitist grasp metaheuristic for the multi-objective quadratic assignment problem Lecture Notes in Computer Science, Evolutionary Multi-Criterion Optimization 5467 481 494 10.1007/978-3-642-01020- 0-38
35. Y-C Liang M-H Lo 2009 Multi-objective redundancy allocation optimization using a variable neighborhood search algorithm J Heur 16 3 511 535 10.1007/s10732-009-9108-4
36. C-J Liao W-C Yu C-B Joe 1997 Bicriterion scheduling in the two-machine flowshop J Oper Res Soc 48 929 935 0892.90106 (Pubitemid 127599480)
37. T Loukil J Teghem D Tuyttens 2005 Solving multi-objective production scheduling problems using metaheuristics Eur J Oper Res 161 1 42 61 2095871 1065.90040 10.1016/j.ejor.2003.08.029
38. G Minella R Ruiz M Ciavotta 2008 A review and evaluation of multi-objective algorithms for the flowshop scheduling problem Informs J Comput 20 3 451 471 2437211 10.1287/ijoc.1070.0258
39. N Mladenović P Hansen 1997 Variable neighborhood search Comput Oper Res 24 1097 1100 1471346 0889.90119 10.1016/S0305-0548(97)00031-2
40. Murata T, Ishibuchi H, Gen M (2001) Cellular genetic local search for multi-objective optimization. Lecture notes in computer science: evolutionary multi-criterion optimization, 1993:82-95 (Pubitemid 33241380)
41. T Murata H Ishibuchi H Tanaka 1996 Multi-objective genetic algorithm and its applications to flowshop scheduling Comput Ind Eng 30 957 968 10.1016/0360-8352(96)00045-9 (Pubitemid 126375906)
42. A Nagar J Haddock S Heragu 1995 Multiple and bicriteria scheduling: a literatura survey Eur J Oper Res 81 88 104 0913.90178 10.1016/0377-2217(93) E0140-S
43. A Nagar S Heragu J Haddock 1995 A branch and bound approach for a 2-machine flowshop scheduling problem J Oper Res Soc 46 721 734 0832.90058
44. M Nawaz EE Enscore I Ham 1983 A heuristic algorithm for the m-machine, n-job flowshop sequencing problem Omega 11 91 98 10.1016/0305-0483(83)90088-9 (Pubitemid 13193807)
45. AJ Nebro F Luna E Alba B Dorronsoro JJ Durillo A Beham 2008 AbYSS: adapting scatter search to multiobjective optimization IEEE Trans Evol Comput 12 4 439 457 10.1109/TEVC.2007.913109
46. T Pasupathy C Rajendran RK Suresh 2005 A multi-objective genetic algorithm for scheduling in flow shops to minimize the makespan and total flow time of jobs Int J Adv Manuf Technol 27 804 815 10.1007/s00170-004-2249-6
47. ARV Rahimi SM Mirghorbani 2007 A multi-objective particle swarm for a flow shop scheduling problem J Comb Optim 13 79 102 2273265 1112.90037 10.1007/s10878-006-9015-7 (Pubitemid 44771158)
48. C Rajendran 1992 Two-stage flow shop scheduling problem with bicriterio J Oper Res Soc 43 871 884 0757.90037 (Pubitemid 23557910)
49. C Rajendran 1995 Heuristics for scheduling in flowshop with multiple objectives Eur J Oper Res 82 540 555 0905.90107 10.1016/0377-2217(93)E0212-G
50. Rajendran C, Ziegler H (2009) A multi-objective ant-colony algorithm for permutation flowshop scheduling to minimize the makespan and total flowtime of jobs. In: Chakraborty UK (ed) Studies in computational intelligence, computational intelligence in flow shop and job shop scheduling vol 230. Springer, Heidelberg, pp 53-99
51. AP Reynolds BD Iglesia 2009 A multi-objective GRASP for partial classification Soft Comput 13 3 227 243 10.1007/s00500-008-0320-1
52. S Sayin S Karabati 1999 A bicriteria approach to the two-machine flow shop scheduling problem Eur J Oper Res 113 435 449 0957.90064 10.1016/S0377-2217(98)00009-5
53. FS Şerifoǧlu G Ulusoy 1998 A bicriteria two-machine permutation flowshop problem Eur J Oper Res 107 414 430 0943.90041 10.1016/S0377-2217(97)00338-X (Pubitemid 128407554)
54. V T'kindt J-C Billaut 2001 Multicriteria scheduling problems: a survey RAIRO Oper Res 35 143 163 1868867 1014.90046 10.1051/ro:2001109 (Pubitemid 33102967)
55. V T'kindt J-C Billaut C Proust 2001 Solving bicriteria scheduling problem on unrelated parallel machines occurring in the glass bottle industry Eur J Oper Res 135 42 49 1077.90532 10.1016/S0377-2217(00)00288-5 (Pubitemid 32776178)
56. EL Ulungu J Teghem Ch Ost 1998 Efficiency of interactive multi-objective simulated annealing through a case study J Oper Res Soc 49 1044 1050 1140.90460 (Pubitemid 128592218)
57. DA Van Veldhuizen GB Lamont 2000 Multiobjective evolutionary algorithms: analysing the state-of -art Evol Comput 8 125 147 10.1162/106365600568158
58. DA Van Veldhuizen GB Lamont 2000 Congress on evolutionary, on measuring multiobjective evolutionary algorithm performance Computation 1 204 211
59. TK Varadharajan C Rajendran 2005 A multi-objective simulated annealing for scheduling in flow shops to minimize the makespan and total flow time of jobs Eur J Oper Res 167 772 795 2157070 1154.90499 10.1016/j.ejor.2004.07.020 (Pubitemid 40220090)
60. Y Xiong Y Kuang 2008 Applying an ant colony optimization algorithm-based multiobjective approach for time-cost trade-off J Constr Eng M Asce 134 2 153 156 10.1061/(ASCE)0733-9364(2008)134:2(153)
61. B Yagmahan MM Yenisey 2008 Ant colony optimization for multi-objective flow shop scheduling problem Comput Ind Eng 54 3 411 420 10.1016/j.cie.2007.08. 003 (Pubitemid 351199794)
62. E Zitzler L Thiele 1999 Multiobjective evolutionary algorithms: a comparative case study and the strength pareto approach IEEE Trans Evol Comput 3 4 257 271 10.1109/4235.797969 (Pubitemid 30544879)