Scheduling Deteriorating Jobs with Availability Constraints to Minimize the Makespan

Chuanli Zhao and Hengyong Tang ()
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Chuanli Zhao: School of Mathematics and Systems Science, Shenyang Normal University, Shenyang, Liaoning 110034, People’s Republic of China
Hengyong Tang: School of Mathematics and Systems Science, Shenyang Normal University, Shenyang, Liaoning 110034, People’s Republic of China

Asia-Pacific Journal of Operational Research (APJOR), 2016, vol. 33, issue 06, 1-10

Abstract: In this paper, we consider the scheduling problem in which the processing time of a job is a linear increasing function of its starting time and machine with availability constraints. The objective is to minimize the makespan. We first present a fully polynomial-time approximation scheme (FPTAS) for the case with a single machine. We then show that there exists no polynomial time approximation algorithm with a constant worst-case bound for the case with two identical machines unless P = NP.

Keywords: Scheduling; machine availability; deteriorating jobs; makespan (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1142/S0217595916500482

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