Application of graph search and genetic algorithms for the single machine scheduling problem with sequence-dependent setup times and quadratic penalty function of completion times

Computers and Industrial Engineering

Volumn 67, Issue 1, 2014, Pages 10-19

  Kodaganallur, Viswanathan ^a   Sen, Anup K ^b   Mitra, Subrata ^b  

^a SETON HALL UNIVERSITY   (United States)

^b INDIAN INSTITUTE OF MANAGEMENT CALCUTTA   (India)

Author keywords

Genetic algorithm; Graph search; Quadratic penalty; Sequence dependent setup; Single machine scheduling

Indexed keywords

GRAPH SEARCH; GRAPH SEARCH ALGORITHM; QUADRATIC PENALTY; QUADRATIC PENALTY FUNCTION; SEQUENCE DEPENDENT SETUPS; SEQUENCE-DEPENDENT SETUP TIME; SINGLE MACHINE SCHEDULING PROBLEMS; SINGLE-MACHINE SCHEDULING;

GENETIC ALGORITHMS; MACHINERY; STOCHASTIC SYSTEMS;

PROBLEM SOLVING;

EID: 84888352558     PISSN: 03608352     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cie.2013.10.005     Document Type: Article

References (54)

1. A.T.H. Ang, A.I. Sivakumar, and C. Qi Criteria selection and analysis for single machine dynamic on-line scheduling with multiple objectives and sequence-dependent setups Computers & Industrial Engineering 56 4 2009 1223 1231
2. D. Anghinolfi, and M. Paolucci A new discrete particle swarm optimization for the single-machine total weighted tardiness scheduling problem with sequence-dependent setup times European Journal of Operational Research 193 1 2009 73 85
3. U. Bagchi, Y.-L. Chang, and R.S. Sullivan Minimizing absolute and squared deviations of completion times with different earliness and tardiness penalties and a common due date Naval Research Logistics 34 5 1987 739 751 (Pubitemid 17651770)
4. U. Bagchi, R.S. Sullivan, and Y.-L. Chang Minimizing mean squared deviation of completion times about a common due date Management Science 33 7 1987 894 906
5. P.C. Bagga, and K.R. Kalra A node elimination procedure for Townsend's algorithm for solving the single machine quadratic penalty function scheduling problem Management Science 26 6 1980 633 636
6. D. Biskup, and J. Herrmann Single-machine scheduling against due dates with past-sequence-dependent setup times European Journal of Operational Research 191 2 2008 587 592
7. P.-C. Chang, J.-C. Hsieh, and C.-H. Liu A case-injected genetic algorithm for single machine scheduling problems with release time International Journal of Production Economics 103 2 2006 551 564 (Pubitemid 44038489)
8. W. Cheung, and H. Zhou Using genetic algorithms and heuristics for job shop scheduling with sequence-dependent setup times Annals of Operations Research 107 1 2001 65 81 (Pubitemid 33634450)
9. I.-C. Choi, and D.-S. Choi A local search algorithm for jobshop scheduling problems with alternative operations and sequence-dependent set-ups Computers & Industrial Engineering 42 1 2002 43 58 (Pubitemid 34182034)
10. I.-C. Choi, S.-I. Kim, and H.-S. Kim A genetic algorithm with a mixed region search for the asymmetric traveling salesman problem Computers & Operations Research 30 5 2003 773 786 (Pubitemid 36175283)
11. F.D. Croce, W. Szwarc, R. Tadei, P. Baracco, and R. di Tullio Minimizing the weighted sum of quadratic completion times on a single machine Naval Research Logistics 42 8 1995 1263 1270
12. K.A. Dowsland, and J.M. Thompson Ant colony optimization for the examination scheduling problem Journal of the Operational Research Society 56 4 2005 426 438 (Pubitemid 40424118)
13. S. French Sequencing and scheduling: An introduction to the mathematics of job shop 1982 Ellis Horwood Ltd Reading, Chichester
14. D.E. Goldberg Genetic algorithms in search, optimization and machine learning 1989 Addison Wesley Reading, MA
15. S.K. Gupta, and T. Sen On the single machine scheduling problem with quadratic penalty function of completion times: An improved branching procedure Management Science 30 5 1984 644 647 (Pubitemid 14585816)
16. S.R. Gupta, and J.R. Smith Algorithms for single machine total tardiness scheduling with sequence-dependent setups European Journal of Operational Research 175 2 2006 722 739 (Pubitemid 44345073)
17. Hart, P., Nilsson, N., Raphael, B. (1968). A formal basis for the heuristic determination of minimum cost paths. IEEE Transactions Systems Science and Cybernetics. SSC 4(2), 100-107.
18. J.H. Holland Adaptation in natural and artificial systems 1975 University of Michigan Press Ann Arbor
19. Johnson, D. S., McGeoch, L. A. (1997). The traveling salesman problem: A case study in local optimization. In E. H. L. Aarts, J. K. Lenstra (Eds.), Local search in combinatorial optimization. John Wiley and Sons, pp. 215-310.
20. J.-G. Kim, and D.-H. Lee Algorithms for common due-date assignment and sequencing on a single machine with sequence-dependent setup times Journal of the Operational Research Society 60 9 2009 1264 1272
21. C. Koulamas, and G.J. Kyparisis Single-machine scheduling problems with past-sequence-dependent setup times European Journal of Operational Research 187 3 2008 1045 1049 (Pubitemid 350236621)
22. J. Kruskal Greedy algorithm for the minimum spanning tree problem Proceedings of the American Mathematical Society 1956 48 50
23. C.Y. Lee, and J.Y. Choi A genetic algorithm for job sequencing problems with distinct due dates and general early-tardy penalty weights Computers & Operations Research 22 8 1995 857 869
24. C.-J. Liao, and H.-C. Juan An ant colony optimization for single-machine tardiness scheduling with sequence-dependent setups Computers & Operations Research 34 7 2007 1899 1909 (Pubitemid 44879763)
25. S. Lin, and B. Kernighan An effective heuristic algorithm for the travelling salesman problem Operations Research 21 2 1973 498 516
26. S.W. Lin, and K.C. Ying A hybrid approach for single-machine tardiness problems with sequence-dependent setup times Journal of the Operational Research Society 59 8 2008 1109 1119
27. X. Luo, and C. Chu A branch-and-bound algorithm for the single machine schedule with sequence-dependent setup times for minimizing maximum tardiness European Journal of Operational Research 180 1 2007 68 81 (Pubitemid 46123840)
28. X. Luo, C. Chu, and C. Wang Some dominance properties for single-machine tardiness problems with sequence-dependent setup International Journal of Production Research 44 17 2006 3367 3378 (Pubitemid 43898307)
29. S. Martello, and P. Toth Knapsack problems: Algorithms and computer implementations 1990 John Wiley & Sons
30. D.C. Mattfeld Evolutionary search and the job shop 1996 Physica Verlag Heidelberg
31. Mondal, S. A., Sen, A. K. (2000b). TCBB scheme: Applications to single machine sequencing problems. In Proceedings of AAAI-2000, pp. 792-797.
32. S.A. Mondal, and A.K. Sen An improved precedence rule for single machine sequencing problems with quadratic penalty European Journal of Operational Research 125 2 2000 425 428
33. S.A. Mondal, and A.K. Sen Single machine weighted earliness-tardiness penalty problem with a common due date Computers & Operations Research 28 7 2001 649 669 (Pubitemid 32379142)
34. N. Nekoiemehr, and G. Moslehi Minimizing the sum of maximum earliness and maximum tardiness in the single-machine scheduling problem with sequence-dependent setup time Journal of the Operational Research Society 62 7 2011 1403 1412
35. B.A. Norman, and J.C. Bean A genetic algorithm methodology for complex scheduling problems Naval Research Logistics 46 2 1999 199 211
36. M. Pinedo Scheduling: Theory, algorithms and systems 1995 Prentice Hall
37. C.R. Reeves Modern heuristic techniques for combinatorial problems 1993 Orient Longman
38. A.H.G. Rinooy Kan Machine complexity problems: Classification complexity and computations 1976 Nijhoff The Hague
39. R. Ruiz, and C. Maroto A genetic algorithm for hybrid flowshops with sequence-dependent setup times and machine eligibility European Journal of Operational Research 169 3 2006 781 800 (Pubitemid 41492016)
40. A. Sadegheih Scheduling problem using genetic algorithm, simulated annealing and the effects of parameter values on GA performance Applied Mathematical Modelling 30 2006 147 154 (Pubitemid 41723074)
41. A.K. Sen, and A. Bagchi Graph search methods for non-order-preserving evaluation functions: Applications to job sequencing problems Artificial Intelligence 86 1 1996 43 73 (Pubitemid 126364348)
42. T. Sen, P. Dileepan, and B. Ruparel Minimizing a generalized quadratic penalty function of job completion times: An improved branch-and-bound approach Engineering Costs and Production Economics 18 1990 197 202 (Pubitemid 20638505)
43. W. Szwarc, M.E. Posner, and J.J. Liu The single machine scheduling problem with a quadratic cost function of completion times Management Science 34 2 1988 1480 1488
44. M.F. Tasgetiren, Q.-K. Pan, and Y.-C. Liang A discrete differential evolution algorithm for the single machine total weighted tardiness problem with sequence-dependent setup times Computers & Operations Research 36 6 2009 1900 1915
45. R. Tavakkoli, F. Taheri, M. Bazzazi, M. Izadi, and F. Sassani Design of a genetic algorithm for bi-objective unrelated parallel machines scheduling with sequence-dependent setup times and precedence constraints Computers & Operations Research 36 12 2009 3224 3230
46. M.K. Tiwari, and N.K. Vidyarthi Solving machine loading problems in a flexible manufacturing system using a genetic algorithm based heuristic approach International Journal of Production Research 38 14 2000 3357 3384 (Pubitemid 35401964)
47. W. Townsend The single machine problem with quadratic penalty function of completion times: A branch-and-bound solution Management Science 24 5 1978 530 534 (Pubitemid 8576487)
48. J.M.S. Valente, and R.A.F.S. Alves Beam search algorithms for the single machine total weighted tardiness scheduling problem with sequence-dependent setups Computers & Operations Research 35 7 2008 2388 2405 (Pubitemid 350161143)
49. E. Vallada, and R. Ruiz A genetic algorithm for the unrelated parallel machine scheduling problem with sequence-dependent setup times European Journal of Operational Research 211 3 2011 612 622
50. C.R. Vela, R. Varela, and M.A. Gonzalez Local search and genetic algorithm for the job shop scheduling problem with sequence-dependent setup times Journal of Heuristics 16 2 2010 139 165
51. Viswanathan, K. V., Sen, A. K., Chakraborty, S. (2011). Stochastic greedy algorithms: A learning-based approach to combinatorial optimization. International Journal on Advances in Software (http://www.iariajournals.org/ software). 4(1&2), 1-11.
52. J.-B. Wang Single-machine scheduling with past-sequence-dependent setup times and time-dependent learning effect Computers & Industrial Engineering 55 3 2008 584 591
53. X. Wang, and L. Tang A hybrid metaheuristic for the prize-collecting single machine scheduling problem with sequence-dependent setup times Computers & Operations Research 37 9 2010 1624 1640
54. Zhao, C., and Tang, H. (2010). Single machine scheduling with past-sequencedependent setup times and deteriorating jobs. Computers & Industrial Engineering, 59(4), 663666.