Optimal Due-Window Assignment Based on Common Flow Allowance under Linear Deteriorating and Resource-Dependent Processing Times

Article Preview

Abstract:

This paper studies a due-window assignment problem on a single machine. The job-dependent due-windows are obtained by the common flow allowance criterion. We assume that the processing time of a job is a linear function of its starting time and decreasing function of the resource amount assigned to it. The objective is to find the optimal size and location of the due-windows, the sequence of jobs and resource allocation scheme to minimize a cost function based on the window size and location, the earliness and tardiness of jobs and resource cost. We propose an algorithm to solve the problem.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

275-278

Citation:

Online since:

July 2013

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[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] Mosheiov, G., Oron, D., job-dependent due-window assignment based on common flow allowance, Foundations of computing and decision sciences, Vol. 35(2010) , pp.185-195.

Google Scholar

[3] Cai-Min Wei, Ji-Bo Wang, Ping Ji, Single-machine scheduling with time-and-resource-dependent processing times, Applied Mathematical Modelling, Vol. 36(2012), pp.792-798.

DOI: 10.1016/j.apm.2011.07.005

Google Scholar

[4] A. Janiak, Optimal resource allocation for single-machine scheduling problems with time and resource dependent processing times, System Science, Vol. 28(2002), pp.85-94.

Google Scholar

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

Google Scholar

[6] Mosheiov, G., Oron, D., scheduling a maintenance activity and due-date assignment based on common flow allowance, Int. J. Production Economics, Vol. 135(2012), pp.222-230.

DOI: 10.1016/j.ijpe.2011.07.013

Google Scholar