Minimizing maximum cost for a single machine under uncertainty of processing times

Ilia Fridman, Erwin Pesch and Yakov Shafransky

European Journal of Operational Research, 2020, vol. 286, issue 2, 444-457

Abstract: One of the most known results in the machine scheduling is Lawler’s algorithm to minimize the maximum cost of jobs processed by a single machine subject to precedence constraints. We consider an uncertain version of the same min-max cost scheduling problem. The cost function of each job depends on the job completion time and on an additional generalized numerical parameter, which may be a tuple of parameters. For each job, both, its processing time and the additional parameter are uncertain, only intervals of possible values of these parameters are known.

Keywords: Scheduling; Min-max cost scheduling problem; Lawler’s algorithm; Uncertainty; Maximum regret (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:286:y:2020:i:2:p:444-457

DOI: 10.1016/j.ejor.2020.03.052

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