Two-agent single-scheduling problems of proportionally-linear deteriorated jobs with the maxi-and-total cost criteria

Xin-gong Zhang, Lu Li, Pay-Wen Yu and Chin-Chia Wu ()
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Xin-gong Zhang: Chongqing Normal University
Lu Li: Chongqing Normal University
Pay-Wen Yu: Fu Jen Catholic University
Chin-Chia Wu: Fengchia University

Indian Journal of Pure and Applied Mathematics, 2024, vol. 55, issue 4, 1499-1510

Abstract: Abstract In this study we address some two-agent scheduling models with proportionally-linear deteriorated jobs, which the job processing time is assumed as an non-decreasing linear function of its starting time. Our goal is to find a job sequence in which the objective functions of agent A are minimized, satisfied that the objective functions of agent B cannot exceed a given bound such as the maximum cost, the total completion time, the number of the late jobs and total tardiness cost. We provide the optimal properties and propose pseud-polynomial-time or/and the polynomial-time algorithms to solve the problems under study.

Keywords: Late work; Two agents; Deteriorating jobs; Total cost criteria; Scheduling (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13226-023-00454-7

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