Towards robustness of response times: minimising the maximum inter-completion time on parallel machines
Feifeng Zheng,
Michael L. Pinedo,
Kangbok Lee,
Ming Liu and
Yinfeng Xu
International Journal of Production Research, 2019, vol. 57, issue 1, 182-199
Abstract:
Motivated by scheduling practices that require a response to unplanned high-priority jobs as soon as possible without preempting any in-processing jobs, this paper considers a deterministic identical parallel machine scheduling problem to achieve robustness with regard to a worst-case response time. To the best of our knowledge, this paper is the first to study the objective of minimising the maximum inter-completion time, i.e. the maximum time difference between any two consecutive completion times of jobs. For this novel scheduling problem, we first show its NP-hardness, and then propose an integer linear programming formulation and three heuristic approaches. Numerical experiments demonstrate the efficiency of our solution methods.
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:taf:tprsxx:v:57:y:2019:i:1:p:182-199
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DOI: 10.1080/00207543.2018.1466063
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