Optimal due-date determination and sequencing with random processing times

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Abstract

This paper considers the problem of due-date determination and sequencing of n stochastically independent jobs on a single machine with random processing times. The objective is to find the optimal due-date values for the constant due-date assignment method and the optimal job sequence that minimize the expected value of a total cost function. It is shown that under suitable assumptions the optimal due-date values can be analytically determined and the jobs should be arranged in the SEPT sequence to minimize the cost.
Original languageEnglish
Pages (from-to)573-576
Number of pages4
JournalMathematical Modelling
Volume9
Issue number8
DOIs
Publication statusPublished - 1 Jan 1987
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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