Robust min–max regret scheduling to minimize the weighted number of late jobs with interval processing times

Maciej Drwal () and Jerzy Józefczyk
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Maciej Drwal: Wroclaw University of Science and Technology
Jerzy Józefczyk: Wroclaw University of Science and Technology

Annals of Operations Research, 2020, vol. 284, issue 1, No 12, 263-282

Abstract: Abstract We consider the robust version of single machine scheduling problem with the objective to minimize the weighted number of jobs completed after their due-dates. The jobs have uncertain processing times represented by intervals, and decision-maker must determine their execution sequence that minimizes the maximum regret. We develop an exact solution algorithm based on a specialized branch and bound method, using mixed-integer linear programming formulations for a common due-date and for job-dependent due-dates. Finally, we examine the solution algorithm in a series of computational experiments.

Keywords: Robust optimization; Uncertainty; Scheduling; Mixed-integer programming (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s10479-019-03263-6

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