Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 31431
Solution Approaches for Some Scheduling Problems with Learning Effect and Job Dependent Delivery Times

Authors: M. Duran Toksarı, B. Uçarkuş

Abstract:

In this paper, we propose two algorithms to optimally solve makespan and total completion time scheduling problems with learning effect and job dependent delivery times in a single machine environment. The delivery time is the extra time to eliminate adverse effect between the main processing and delivery to the customer. In this paper, we introduce the job dependent delivery times for some single machine scheduling problems with position dependent learning effect, which are makespan are total completion. The results with respect to two algorithms proposed for solving of the each problem are compared with LINGO solutions for 50-jobs, 100-jobs and 150- jobs problems. The proposed algorithms can find the same results in shorter time.

Keywords: Delivery times, learning effect, makespan, scheduling, total completion time.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1109814

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1319

References:


[1] C. Koulamas, G.J. Kyparisis, Single machine problems with past sequence dependent delivery times, International Journal of Production Economics 126(2), 264-266, 2010.
[2] M. Liu, F. Zheng, C. Chu, Y. Xu, New results on single machine scheduling with past sequence dependent delivery times, Theoretical Computer Science 438(22), 55-61, 2012.
[3] M. Liu, F. Zheng, C. Chu, Y. Xu, Single machine scheduling with past sequence dependent delivery times and release times, Information Processing Letters 112(21), 835-838, 2012.
[4] M. Liu, S. Wang, C. Chu, Scheduling deteriorating jobs with past sequence dependent delivery times, International Journal of Production Economics 144(2), 418-421, 2013.
[5] M. Liu, Parallel machine scheduling with past sequence dependent delivery times and learning effect, Applied Mathematical Modelling 37(23), 9630-9633, 2013.
[6] L. Shen, Y.B. Wu, Single machine past sequence dependent delivery times scheduling with general position dependent and time dependent learning effects, Applied Mathematical Modelling 37, 5444-5451, 2013.
[7] S.J. Yang, D.L. Yang, Single machine scheduling problems with past sequence dependent delivery times and position dependent processing times, Journal of Operational Research Society 63(11), 1508-1514, 2012.
[8] S.J. Yang, J.Y. Guo, H.T. Lee, D.L. Yang, Single machine scheduling problems with past sequence dependent delivery times and deterioration and learning effects simultaneously, International Journal of Innovative Computing, Information and Control 9(10), 3981-3989, 2013.
[9] G. Mosheiov, Scheduling problems with a learning effect, European Journal of Operational Research 132, 687– 693, 2001.
[10] D. Biskup, Single-machine scheduling with learning considerations. European Journal of Operational Research 115, 173–178, 1999.
[11] M.D. Toksari, E. Guner, The common due date Early/tardy scheduling problem on a parallel machine under the effects of time dependent learning and linear/ nonlinear deterioration, Expert Systems with Applications 37(1) (2010) 92-112.
[12] M.D. Toksari, E. Guner, Parallel machine scheduling problem to minimize the earliness/tardiness costs with learning effect and deteriorating jobs, Journal of Intelligent Manufacturing 21(6) (2010) 843-851.
[13] M.D. Toksari, A branch and bound algorithm for minimizing makespan on a single machine with unequal release times under learning effect and deteriorating jobs, Computers and Opeations Research 38(9) (2011) 1361-1365.
[14] R.L. Graham, J.K. Lawler, J.K. Lenstra, A.H.G. Rinnooy Kan, Optimization and approximation in deterministic sequencing and scheduling: a survey, Annals of Discrete Mathematics 5, 287-326, 1979.
[15] S.-J. Yang, C.-J. Hsu, T.-R. Chang and D.-L. Yang, Single-machine scheduling with past-sequence dependent delivery times and learning effect, Journal of the Chinese Institute of Industrial Engineers, vol.28, pp.247-255, 2011.