Improved approximation algorithms for parallel machine scheduling with release dates and job rejection

Xueling Zhong () and Jinwen Ou ()
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Xueling Zhong: Guangdong University of Finance
Jinwen Ou: Jinan University

4OR, 2017, vol. 15, issue 4, No 3, 387-406

Abstract: Abstract In this paper we study a parallel machine scheduling model with different job release dates, where each job is either accepted and processed by a machine at or after its release date, or it is rejected and a certain penalty cost is paid. The objective is to minimize the makespan of the accepted job plus the total penalty of all rejected jobs. The scheduling problem is NP-hard in the strong sense. Zhang and Lu (4OR A Q J Oper Res 14:165–172, 2016) have proposed a 2-approximation for the problem, and a fully polynomial time approximation scheme (FPTAS) for the special case when the number of machines m is fixed. In this paper we present an improved 2-approximation and a polynomial time approximation scheme for the problem. We also propose an improved FPTAS for the case when m is fixed.

Keywords: Scheduling; Release date; Rejection; Approximation algorithm; 90B35 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (13)

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DOI: 10.1007/s10288-016-0339-6

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