Single Machine Scheduling with an Availability Constraint and Rejection

Chuanli Zhao () and Hengyong Tang ()
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Chuanli Zhao: School of Mathematics and Systems Science, Shenyang Normal University, Shenyang, Liaoning 110034, P. R. China
Hengyong Tang: School of Mathematics and Systems Science, Shenyang Normal University, Shenyang, Liaoning, 110034, P. R. China

Asia-Pacific Journal of Operational Research (APJOR), 2014, vol. 31, issue 05, 1-15

Abstract: This paper considers single machine scheduling with an availability constraint and rejection. It is assumed that the machine is not available for processing during a given time interval. A job is either rejected, in which case a rejection penalty has to be paid, or accepted and processed on the machine. The objective is to minimize the sum of the weighted total completion time of the accepted jobs and the total rejection penalty of the rejected jobs. For this NP-hard problem, we present a pseudo-polynomial dynamic programming algorithm and a fully polynomial-time approximation scheme (FPTAS).

Keywords: Scheduling; machine availability; rejection penalty; dynamic programming; fully polynomial-time approximation scheme (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S0217595914500377

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