Approximation algorithm for the parallel-machine scheduling problem with release dates and submodular rejection penalties

Hongye Zheng, Suogang Gao, Wen Liu, Weili Wu, Ding-Zhu Du and Bo Hou ()
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Hongye Zheng: Hebei Normal University
Suogang Gao: Hebei Normal University
Wen Liu: Hebei Normal University
Weili Wu: University of Texas at Dallas
Ding-Zhu Du: University of Texas at Dallas
Bo Hou: Hebei Normal University

Journal of Combinatorial Optimization, 2022, vol. 44, issue 1, No 17, 343-353

Abstract: Abstract In this paper, we consider the parallel-machine scheduling problem with release dates and submodular rejection penalties. In this problem, we are given m identical parallel machines and n jobs. Each job has a processing time and a release date. A job is either rejected, in which case a rejection penalty has to be paid, or accepted and processed on one of the m identical parallel machines. The objective is to minimize the sum of the makespan of the accepted jobs and the rejection penalty of the rejected jobs which is determined by a submodular function. Our main work is to design a 2-approximation algorithm based on the primal-dual framework.

Keywords: Scheduling; Submodular function; Approximation algorithm (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10878-021-00842-x

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