Improved algorithms for single machine scheduling with release dates and rejections

Cheng He (), Joseph Y.-T. Leung, Kangbok Lee and Michael L. Pinedo ()
Additional contact information
Cheng He: Henan University of Technology
Joseph Y.-T. Leung: New Jersey Institute of Technology
Kangbok Lee: The City University of New York
Michael L. Pinedo: New York University

4OR, 2016, vol. 14, issue 1, No 2, 55 pages

Abstract: Abstract We consider bi-criteria scheduling problems on a single machine with release dates and rejections and both the makespan and the total rejection cost have to be minimized. We consider three scenarios: (1) minimize the sum of the two objectives: makespan and total rejection cost, (2) minimize the makespan subject to a bound on the total rejection cost and (3) minimize the total rejection cost subject to a bound on the makespan. We summarize the results obtained in the literature and provide for several cases improved approximation algorithms and FPTASs.

Keywords: Scheduling; Release date; Rejection; Makespan; Total rejection penalty; Approximation algorithm; 90B35 Scheduling theory; deterministic; 68W25 Approximation algorithms (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (14)

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DOI: 10.1007/s10288-016-0303-5

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