Single Machine Group Scheduling Problem with Deteriorating Jobs and Release Dates

Article Preview

Abstract:

The paper deals with a single machine scheduling problem with deteriorating jobs and group technology (GT) assumption. By deteriorating jobs and group technology assumption, we mean that the group setup times and job processing times are both simple linear functions of their starting times. We show that the makespan minimization problem with release dates can be solved in polynomial time.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

2145-2148

Citation:

Online since:

February 2014

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] Gawiejnowicz, S.: Time-dependent scheduling. Springer, Berlin, (2008).

Google Scholar

[2] Graham, R.L., Lawler, E.L., Lenstra, J.K., Rinnooy Kan A.H.G.: Optimization and approximation in deterministic sequencing and scheduling: a survey. Annals of Discrete Mathematics, 5 (1979) 287-326.

DOI: 10.1016/s0167-5060(08)70356-x

Google Scholar

[3] Lee, W. -C., Chung, Y. -H., Wu, C.C.: Scheduling deteriorating jobs on a single machine with release times. Computers and Industrial Engineering 54 (2008) 441-452.

DOI: 10.1016/j.cie.2007.08.006

Google Scholar

[4] Mosheiov, G.: Scheduling jobs under simple linear deterioration. Computers and Operations Research 21 (1994) 653-659.

DOI: 10.1016/0305-0548(94)90080-9

Google Scholar

[5] Potts, C.N., Van Wassenhove, L.N.: Integrating scheduling with batching and lot-sizing: A review of algorithms and complexity. Journal of the Operational Research Society 43 (1992)395-406.

DOI: 10.1057/jors.1992.66

Google Scholar

[6] Wang, J. -B., Huang, X., Wu, Y. -B., Ji, P.: Group scheduling with independent setup times, ready times, and deteriorating job processing times. International Journal of Advanced Manufacturing Technology 60 (2012) 643-649.

DOI: 10.1007/s00170-011-3639-1

Google Scholar

[7] Webster, S., Baker, K.R.: Scheduling groups of jobs on a single machine. Operations Research 43 (1995) 692-703.

DOI: 10.1287/opre.43.4.692

Google Scholar

[8] Wu, C. -C., Shiau, Y. -R., Lee, W. -C.: Single-machine group scheduling problems with deterioration consideration. Computers and Operations Research 35 (2008) 1652-1659.

DOI: 10.1016/j.cor.2006.09.008

Google Scholar

[9] Xu, Y. -T., Zhang, Y., Huang, X.: Single-machine ready times scheduling with group technology and proportional linear deterioration. Applied Mathematical Modelling, http: /dx. doi. org/10. 1016/j. apm. 2013. 05. 064.

DOI: 10.1016/j.apm.2013.05.064

Google Scholar