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Due-date assignment on uniform machines

Gur Mosheiov and Assaf Sarig

European Journal of Operational Research, 2009, vol. 193, issue 1, 49-58

Abstract: The classical weighted minsum scheduling and due-date assignment problem (with earliness, tardiness and due-date costs) was shown to be polynomially solvable on a single machine, more than two decades ago. Later, it was shown to have a polynomial time solution in the case of identical processing time jobs and parallel identical machines. We extend the latter setting to parallel uniform machines. We show that the two-machine case is solved in constant time. Furthermore, the problem remains polynomially solvable for a given (fixed) number of machines.

Keywords: Scheduling; Uniform-machines; Due-date; assignment (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (5)

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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