Efficient algorithms for machine scheduling problems with earliness and tardiness penalties

Guang Feng () and Hoong Lau ()

Annals of Operations Research, 2008, vol. 159, issue 1, 83-95

Abstract: In this paper, we study the multi-machine scheduling problem with earliness and tardiness penalties and sequence dependent setup times. This problem can be decomposed into two subproblems—sequencing and timetabling. Sequencing focuses on assigning each job to a fixed machine and determine the job sequence on each machine. We call such assignment a semi-schedule. Timetabling focuses on finding an executable schedule from the semi-schedule via idle-time insertion. Sequencing is strongly NP-hard in general. Although timetabling is polynomial-time solvable, it can become a computational bottleneck if the procedure is executed many times within a larger framework. This paper makes two contributions. We first propose a quantum improvement to the computational efficiency of the timetabling algorithm. We then apply it within a squeaky wheel optimization framework to solve the sequencing and overall problem. Finally, we demonstrate the strength of our proposed algorithms by experiments. Copyright Springer Science+Business Media, LLC 2008

Keywords: Earliness-tardiness; Meta-heuristics; Scheduling; Squeaky wheel (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s10479-007-0284-z

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