The strong NP-hardness of the maximum lateness minimization scheduling problem with the processing-time based aging effect

Applied Mathematics and Computation

Volumn 218, Issue 11, 2012, Pages 6498-6510

  Rudek, Radosław ^a  

^a WROCLAW UNIVERSITY OF ECONOMICS   (Poland)

Author keywords

Aging effect; Computational complexity; Deteriorating; Scheduling

Indexed keywords

AGING EFFECTS; AGING MODELS; COMPLETION TIME; DETERIORATING; MAXIMUM LATENESS; NON-DECREASING FUNCTIONS; NP-HARD; NP-HARDNESS; PROCESSING TIME; SCHEDULING PROBLEM; STRONGLY NP-HARD;

HARDNESS; SCHEDULING;

COMPUTATIONAL COMPLEXITY;

EID: 84855885940     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2011.12.020     Document Type: Article

References (37)

1. 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)
2. S. Eilon On a mechanistic approach to fatigue and rest periods Int. J. Prod. Res. 3 1964 327 332
3. N.V. Mandich Overview of surface preparation of metals prior to finishing: Part 2 Met. Finish. 101 2003 33 58 (Pubitemid 41161682)
4. P.R. McMullen, M. Clark, D. Albritton, and J. Bell A correlation and heuristic approach for obtaining production sequences requiring a minimum of tool replacements Comput. Oper. Res. 30 2003 443 462 (Pubitemid 36650130)
5. M. Stanford, and P.M. Lister Investigation into the relationship between tool-wear and cutting environments when turning EN 32 steel Ind. Lubr. Tribol. 56 2004 114 121
6. T.C.E. Cheng, Q. Ding, and B.M.T. Lin A concise survey of scheduling with time-dependent processing times Eur. J. Oper. Res. 152 2004 1 13
7. Z. Xingong, and Y. Guangle Single-machine group scheduling problems with deteriorated and learning effect Appl. Math. Comput. 216 2010 1259 1266
8. S.-H. Yang, and J.-B. Wang Minimizing total weighted completion time in a two-machine flow shop scheduling under simple linear deterioration Appl. Math. Comput. 217 2011 4819 4826
9. T.C.E. Cheng, W.-C. Lee, and C.-C. Wu Single-machine scheduling with deteriorating functions for job processing times Appl. Math. Model. 34 2010 4171 4178
10. A. Janiak, and R. Rudek Scheduling jobs under an aging effect J. Oper. Res. Soc. 61 2010 1041 1048
11. P.-J. Lai, and W.-C. Lee Single-machine scheduling with general sum-of-processing-time-based and position-based learning effects Omega 39 2011 467 471
12. S.-J. Yang, D.-L. Yang, and T.C.E. Cheng Single-machine due-window assignment and scheduling with job-dependent aging effects and deteriorating maintenance Comput. Oper. Res. 37 2010 1510 1514
13. 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 Appl. Math. Comput. 217 2011 8804 8824
14. S. Gawiejnowicz A note on scheduling on a single processor with speed dependent on a number of executed jobs Inf. Process. Lett. 57 1996 297 300 (Pubitemid 126392780)
15. W.-H. Kuo, and D.-L. Yang Minimizing the makespan in a single-machine scheduling problem with the cyclic process of an aging effect J. Oper. Res. Soc. 59 2008 416 420 (Pubitemid 351334705)
16. G. Mosheiov A note on scheduling deteriorating jobs Math. Comput. Model. 41 2005 883 886 (Pubitemid 41140279)
17. S.-J. Yang Single-machine scheduling problems with both start-time dependent learning and position dependent aging effects under deteriorating maintenance consideration Appl. Math. Comput. 217 2010 3321 3329
18. 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
19. C.-L. Zhao, and H.-Y. Tang Single machine scheduling with general job-dependent aging effect and maintenance activities to minimize makespan Appl. Math. Model. 34 2010 837 841
20. V.S. Gordon, C.N. Potts, V.A. Strusevich, and J.D. Whitehead Single machine scheduling models with deterioration and learning: handling precedence constraints via priority generation J. Sched. 11 2008 357 370
21. P.-J. Lai, and W.-C. Lee Single-machine scheduling with a nonlinear deterioration function Inf. Process. Lett. 110 2010 455 459
22. P.-J. Lai, W.-C. Lee, and H.-H. Chen Scheduling with deteriorating jobs and past-sequence-dependent setup times Int. J. Adv. Manuf. Technol. 54 2011 737 741
23. J.-B. Wang, L.-Y. Wang, D. Wang, and X.-Y. Wang Single-machine scheduling with a time-dependent deterioration Int. J. Adv. Manuf. Technol. 43 2009 805 809
24. W.-H. Kuo, and D.-L. Yang Single-machine group scheduling with a time-dependent learning effect Comput. Oper. Res. 33 2006 2099 2112 (Pubitemid 41802279)
25. L. Sun Single-machine scheduling problems with deteriorating jobs and learning effects Comput. Ind. Eng. 57 2009 843 846
26. X. Huang, J.-B. Wang, L.-Y. Wang, W.-J. Gao, and X.-R. Wang Single machine scheduling with time-dependent deterioration and exponential learning effect Comput. Ind. Eng. 58 2010 58 63
27. W.-C. Lee, C.-C. Wu, and H.-C. Liu A note on single-machine makespan problem with general deteriorating function Int. J. Adv. Manuf. Technol. 40 2009 1053 1056
28. J.-B. Wang, L.-Y. Wang, D. Wang, X. Huang, and X.-R. Wang A note on single-machine total completion time problem with general deteriorating function Int. J. Adv. Manuf. Technol. 44 2009 1213 1218
29. W.-C. Lee, and P.-J. Lai Scheduling problems with general effects of deterioration and learning Inf. Sci. 181 2011 1164 1170
30. W.-C. Lee, P.-J. Lai, and C.-C. Wu Some single-machine and flowshop scheduling problems with a non-linear deterioration function Comput. Math. Appl. 62 2011 2487 2496
31. R. Rudek, Some single-machine scheduling problems with the extended sum-of-processing-time based aging effect, Int. J. Adv. Manuf. Technol., doi:10.1007/s00170-011-3481-5 (in press).
32. S.-J. Yang, and D.-L. Yang Minimizing the total completion time in single-machine scheduling with aging/deteriorating effects and deteriorating maintenance activities Comput. Math. Appl. 60 2010 2161 2169
33. R. Rudek, Minimising maximum lateness in a single machine scheduling problem with processing time based aging effects, Eur. J. Ind. Eng., in press.
34. 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 Ann. Discrete Math. 5 1979 287 326
35. M.R. Garey, and D.S. Johnson Computers and Intractability: A Guide to the Theory of NP-Completeness 1979 Freeman San Francisco
36. 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
37. S.-J. Yang, C.-J. Hsu, D.-L. Yang, Single-machine scheduling and slack due-date assignment with aging effect and deteriorating maintenance, Optim. Lett., in press, doi:10.1007/s11590-011-0382-3.