Total completion time minimization on multiple machines subject to machine availability and makespan constraints

Yumei Huo and Hairong Zhao

European Journal of Operational Research, 2015, vol. 243, issue 2, 547-554

Abstract: This paper studies preemptive bi-criteria scheduling on m parallel machines with machine unavailable intervals. The goal is to minimize the total completion time subject to the constraint that the makespan is at most a constant T. We study the unavailability model such that the number of available machines cannot go down by 2 within any period of pmax where pmax is the maximum processing time among all jobs. We show that there is an optimal polynomial time algorithm.

Keywords: Scheduling; Parallel machine; Bi-criteria; Limited machine availability; Polynomial time algorithm (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:243:y:2015:i:2:p:547-554

DOI: 10.1016/j.ejor.2014.12.012

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