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A note on unrelated parallel machine scheduling with time-dependent processing times

Kuo W-H, Hsu C-J and Dar-Li Yang
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Kuo W-H: National Formosa University
Hsu C-J: Nan-Kai Institute of Technology

Journal of the Operational Research Society, 2009, vol. 60, issue 3, 431-434

Abstract: Abstract In the literature, most of the parallel machine scheduling problems, in which the processing time of a job is a linear function of its starting time, are proved to be NP-hard. In this paper, we study an unrelated parallel machine scheduling problem in which the processing time of a job is a linear function of its starting time. The objective is to minimize the total completion time of all jobs. We consider two linear functions of job starting time in the problem and show that it is polynomially solvable.

Keywords: unrelated parallel machine; scheduling; total completion time (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (3)

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DOI: 10.1057/palgrave.jors.2602576

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