The computational complexity analysis of the two-processor flowshop problems with position dependent job processing times

Applied Mathematics and Computation

Volumn 221, Issue , 2013, Pages 819-832

  Rudek, Radosław ^a,b  

^a WROCLAW UNIVERSITY OF ECONOMICS   (Poland)

^b WROCLAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Aging; Computational complexity; Deteriorating; Flowshop; Learning; Scheduling

Indexed keywords

COMPUTATIONAL COMPLEXITY ANALYSIS; DETERIORATING; FLOW-SHOPS; JOB PROCESSING TIME; LEARNING; MAKESPAN MINIMIZATION; PIECE-WISE LINEAR FUNCTIONS; POSITION DEPENDENTS;

AGING OF MATERIALS; HARDNESS; PIECEWISE LINEAR TECHNIQUES; SCHEDULING;

COMPUTATIONAL COMPLEXITY;

EID: 84881283977     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2013.06.086     Document Type: Article

References (61)

1. P. Brucker Scheduling Algorithms 2001 Springer-Verlag Berlin Heidelberg
2. T. Gonzalez, and S. Sahni Flowshop and jobshop schedules: complexity and approximation Operations Research 26 1978 36 52 (Pubitemid 8576420)
3. J.N.D. Gupta, and E.F. Stafford Jr Flowshop scheduling research after five decades European Journal of Operational Research 169 2006 699 711 (Pubitemid 41492009)
4. T.P. Wright Factors affecting the cost of airplanes Journal of Aeronautical Sciences 3 1936 122 128
5. P. Roberts A theory of the learning process Journal of the Operational Research Society 34 1983 71 79
6. P.S. Adler, and K.B. Clark Behind the learning curve: a sketch of the learning process Management Science 37 1991 267 281
7. L. Argote Learning curves: persistence transfer and turnover International Journal of Technology Management 11 1996 759 769 (Pubitemid 126679170)
8. J. Ariforic, G. Bullard, and J. Duffy The transition from stagnation to economic growth: an adaptive learning approach Journal of Economic Growth 2 1997 185 209 (Pubitemid 127448815)
9. H. Kerzner Project management: a system approach to planning scheduling and controlling 1998 John Wiley & Sons, Inc New York
10. T.K. Lien, and F.O. Rasch Hybrid automatic-manual assembly systems Annals of the CIRP 50 2001 21 24 (Pubitemid 32610769)
11. G.K. Webb Integrated circuit (IC) pricing High Technology Management Research 5 1994 247 260
12. L.E. Yelle The learning curve: historical review and comprehensive study Decision Science 10 1979 302 328
13. A. Grzech, P. Rygielski, and P. Świa̧tek Translations of service level agreement in systems based on service-oriented architectures Cybernetics and Systems 41 2010 610 627
14. N. Ailon, B. Chazelle, K.L. Clarkson, D. Liu, W. Mulzer, and C. Seshadhri Self-improving algorithms SIAM Journal on Computing 40 2011 350 375
15. L. Buşoniu, R. Babuška, and B. De Schutter A comprehensive survey of multiagent reinforcement learning IEEE Transactions On Systems Man And Cybernetics - Part C: Applications And Reviews 38 2008 156 172 (Pubitemid 351404112)
16. P. Świa̧tek, P. Stelmach, A. Prusiewicz, and K. Juszczyszyn Service composition in knowledge-based SOA systems New Generation Computing 30 2012 165 188
17. D. Biskup A state-of-the-art review on scheduling with learning effects European Journal of Operational Research 188 2008 315 329
18. D. Biskup Single-machine scheduling with learning considerations European Journal of Operational Research 115 1999 173 178
19. A. Janiak, and R. Rudek Experience based approach to scheduling problems with the learning effect IEEE Transactions on Systems Man and Cybernetics - Part A 39 2009 344 357
20. W.-H. Kuo, and D.-L. Yang Single-machine scheduling problems with the time-dependent learning effect Computers and Mathematics with Applications 53 2007 1733 1739 (Pubitemid 46818902)
21. W.-C. Lee A note on single-machine scheduling with general learning effect and past-sequence-dependent setup time Computers and Mathematics with Applications 62 2011 2095 2100
22. W.-C. Lee, and P.-J. Lai Scheduling problems with general effects of deterioration and learning Information Sciences 181 2011 1164 1170
23. G. Mosheiov Parallel machine scheduling with a learning effect Journal of the Operational Research Society 52 2001 1 5
24. T.C.E. Cheng, W.-H. Wu, S.-R. Cheng, and C.-C. Wu Two-agent scheduling with position-based deteriorating jobs and learning effects Applied Mathematics and Computation 217 2011 8804 8824
25. S. Gawiejnowicz A note on scheduling on a single processor with speed dependent on a number of executed jobs Information Processing Letters 57 1996 297 300 (Pubitemid 126392780)
26. A. Janiak, and R. Rudek Scheduling jobs under an aging effect Journal of the Operational Research Society 61 2010 1041 1048
27. P.-J. Lai, W.-C. Lee, and H.-H. Chen Scheduling with deteriorating jobs and past-sequence-dependent setup times International Journal of Advanced Manufacturing Technology 54 2011 737 741
28. W.-C. Lee, P.-J. Lai, and C.-C. Wu Some single-machine and flowshop scheduling problems with a non-linear deterioration function Computers and Mathematics with Applications 62 2011 2487 2496
29. S.-J. Yang Single-machine scheduling problems with both start-time dependent learning and position dependent aging effects under deteriorating maintenance consideration Applied Mathematics and Computation 217 2010 3321 3329
30. S.-J. Yang, and D.-L. Yang Minimizing the makespan on single-machine scheduling with aging effect and variable maintenance activities Omega 38 2010 528 533
31. S.-J. Yang, and D.-L. Yang Single-machine scheduling problems with aging/deteriorating effect under an optional maintenance activity consideration INFOR 48 2010 171 179
32. D.-L. Yang, T.C.E. Cheng, S.-J. Yang, and C.-J. Hsu Unrelated parallel-machine scheduling with aging effects and multi-maintenance activities Computers & Operations Research 39 2012 1458 1464
33. D. Okołowski, and S. Gawiejnowicz Exact and heuristic algorithms for parallel-machine scheduling with DeJongs learning effect Computers & Industrial Engineering 59 2010 272 279
34. M. Stanford, and P.M. Lister Investigation into the relationship between tool-wear and cutting environments when turning EN32 steel Industrial Lubrication and Tribology 56 2004 114 121
35. N.V. Mandich Overview of surface preparation of metals prior to finishing: Part 2 Metal Finishing 101 2003 33 58 (Pubitemid 41161682)
36. A.J. Dababneh, N. Swanson, and R.L. Shell Impact of added rest breaks on the productivity and well being of workers Ergonomics 44 2001 164 174 (Pubitemid 32058494)
37. S. Eilon On a mechanistic approach to fatigue and rest periods International Journal of Production Research 3 1964 327 332
38. T.C.E. Cheng, and G. Wang Single machine scheduling with learning effect considerations Annals of Operations Research 98 2000 273 290 (Pubitemid 33282737)
39. C.-J. Hsu, S.-J. Yang, and D.-L. Yang Two due date assignment problems with position-dependent processing time on a single-machine Computers & Industrial Engineering 60 2011 796 800
40. S.-J. Yang, and D.-L. Yang Minimizing the total completion time in single-machine scheduling with aging/deteriorating effects and deteriorating maintenance activities Computers and Mathematics with Applications 60 2010 2161 2169
41. J.-B. Wang, and M.-Z. Wang Single machine multiple common due dates scheduling with learning effects Computers and Mathematics with Applications 60 2010 2998 3002
42. C.-C. Wu A makespan study of the two-machine flowshop scheduling problem with a learning effect Journal of Statistics and Management Systems 8 2005 13 25
43. Z. Xingong, and Y. Guangle Single-machine group scheduling problems with deteriorated learning effect Applied Mathematics and Computation 216 2010 1259 1266
44. D.-L. Yang, and W.-H. Kuo Scheduling with deteriorating jobs and learning effects Applied Mathematics and Computation 218 2011 2069 2073
45. T.C.E. Cheng, C.-C. Wu, and W.-C. Lee Some scheduling problems with deteriorating jobs and learning effects Computers & Industrial Engineering 54 2008 972 982 (Pubitemid 351458392)
46. T.C.E. Cheng, C.-C. Wu, and W.-C. Lee Some scheduling problems with sum-of-processing-times-based and job-position-based learning effects Information Sciences 178 2008 2476 2487
47. W.-C. Lee, and C.-C. Wu Some single-machine and m-machine flowshop scheduling problems with learning considerations Information Sciences 179 2009 3885 3892
48. C.-C. Wu, and W.-C. Lee Single-machine and flowshop scheduling with a general learning effect model Computers & Industrial Engineering 56 2009 1553 1558
49. J.-B. Wang, and Z.-Q. Xia Flow-shop scheduling with a learning effect Journal of the Operational Research Society 56 2005 1325 1330 (Pubitemid 41486896)
50. Y. Yin, D. Xu, K. Sun, and H. Li Some scheduling problems with general position-dependent and time-dependent learning effects Information Sciences 179 2009 2416 2425
51. R. Rudek Computational complexity and solution algorithms for flowshop scheduling problems with the learning effect Computers & Industrial Engineering 61 2011 20 31
52. A. Rudek, and R. Rudek Makespan minimization flowshop with position dependent job processing times computational complexity and solution algorithms Computers & Operations Research 40 2013 2071 2082
53. S.M. Johnson Optimal two-and-three-stage production schedules Naval Research Logistic 1 1954 61 68
54. R.L. Graham, E.L. Lawler, J.K. Lenstra, and A.H.G. Rinnooy Kan Optimization and approximation in deterministic sequencing and scheduling: a survey Annals of Discrete Mathematics 5 1979 287 326
55. M.R. Garey, and D.S. Johnson Computers and Intractability: A Guide to the Theory of NP-completeness 1979 Freeman San Francisco
56. R. Rudek On single processor scheduling problems with learning dependent on the number of processed jobs Applied Mathematical Modelling 37 2013 1523 1536
57. R. Rudek Scheduling problems with position dependent job processing times: computational complexity results Annals of Operations Research 196 2012 491 516
58. R. Rudek The strong NP-hardness of the maximum lateness minimization scheduling problem with the processing-time based aging effect Applied Mathematics and Computation 218 2012 6498 6510
59. W.-H. Kuo, and D.-L. Yang Minimizing the makespan in a single-machine scheduling problem with the cyclic process of an aging effect Journal of the Operational Research Society 59 2008 416 420 (Pubitemid 351334705)
60. A. Kozik Fully dynamic evaluation of Sequence Pair IEEE Transactions on CAD of Integrated Circuits and Systems 32 2013 894 904
61. T.C.E. Cheng, Q. Ding, and B.M.T. Lin A concise survey of scheduling with time-dependent processing times European Journal of Operational Research 152 2004 1 13