SINGLE-MACHINE SCHEDULING WITH PROPORTIONALLY DETERIORATING JOBS SUBJECT TO AVAILABILITY CONSTRAINTS

Shisheng Li () and Baoqiang Fan
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Shisheng Li: Department of Mathematics, Zhengzhou University, Zhengzhou 450001, PR China
Baoqiang Fan: Department of Mathematics and Information, Ludong University, Yantai 264025, PR China

Asia-Pacific Journal of Operational Research (APJOR), 2012, vol. 29, issue 04, 1-10

Abstract: We address the nonresumable version of the scheduling problem with proportionally deteriorating jobs on a single machine subject to availability constraints. The objective is to minimize the total weighted completion time. We show that there exists no polynomial-time algorithm with a constant worst-case ratio for the problem with two nonavailability intervals unless $\mathcal{P} = \mathcal{NP}$. Furthermore, we propose a pseudo-polynomial-time algorithm and a fully polynomial-time approximation scheme for the problem with a single nonavailability interval.

Keywords: Scheduling; deteriorating jobs; availability constraint; FPTAS (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0217595912500194

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