Single-Machine Scheduling with Due-Window Assignment and Rate-Modifying-Activities under a Deteriorating Maintenance

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This paper studies single-machine scheduling problems with a due-window assignment and a rate-modifying activity under a deteriorating maintenance consideration simultaneously. Jobs completed within the due-window incur no penalties, other jobs incur either earliness or tardiness penalties. The maintenance activity can be scheduled immediately after any one of the completed jobs. We assume that once the maintenance activity has been completed, the machine efficiency will be improved and the machine maintenance duration depends on its starting time. The objective is to find the optimal maintenance position as well as the optimal size and location of the due-window, and the sequence of jobs to minimize a cost function based on the window size and window location and the earliness and tardiness of the jobs. We propose a polynomial time algorithm to solve the problem optimally.

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2248-2251

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January 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] SD Liman, S. S Panwalkar and S Thongmee, Common due-window size and location determination in a single machine scheduling problem, Journal of the Operational Research Society, Vol. 49 (1998), pp.1007-1010.

DOI: 10.1057/palgrave.jors.2600601

Google Scholar

[2] Chen, W. -J., Minimizing number of tardy jobs on a single machine subject to periodic maintenance, Omega, Vol. 37 (2009), pp.591-599.

DOI: 10.1016/j.omega.2008.01.001

Google Scholar

[3] Gawiejnowicz S., Scheduling deteriorating jobs subject to job or machine availability constraints, European Journal of Operational Research, Vol. 180 (2007) pp.472-478.

DOI: 10.1016/j.ejor.2006.04.021

Google Scholar

[4] Yang, S. -J. and Yang, D. -L., Minimizing the makespan on single-machine scheduling with aging effect and variable maintenance activities, Omega, Vol. 38 (2010), pp.528-533.

DOI: 10.1016/j.omega.2010.01.003

Google Scholar

[5] Mosheiov, G., Oron, D., Due-date assignment and maintenance activity scheduling problem, Mathematical and Computer Modelling, Vol. 44 (2006), pp.1053-1057.

DOI: 10.1016/j.mcm.2006.03.008

Google Scholar

[6] Mosheiov, G. and Sarig, A., Scheduling a maintenance activity to minimize total weighted completion-time, Computer and Mathematics with Application, Vol. 57 (2009), pp.619-623.

DOI: 10.1016/j.camwa.2008.11.008

Google Scholar

[7] Graham, R. L. et al. Annals of Discrete Mathematics, Vol. 5 (1979), pp.287-326.

Google Scholar