Note: "Simultaneous optimization of efficiency and performance balance measures in single-machine scheduling problems"

Michael X. Weng, Jose A. Ventura

Research output: Contribution to journalArticlepeer-review

Abstract

n independent jobs are to be scheduled nonpreemptively on a single machine so as to minimize some performance measure. Federgruen and Mosheiov [2] show that a large class of such scheduling problems can be optimized by solving either a single instance or a finite sequence of instances of the so-called SQC problem, in which all the jobs have a fixed or controllable common due date and the sum of general quasiconvex functions of the job completion times is to be minimized. In this note we point out that this is not always true. In particular, we show that the algorithm proposed in [2] does not always find a global optimal schedule to the problem of minimizing the weighted sum of the mean and variance of job completion times.

Original languageEnglish (US)
Pages (from-to)313-318
Number of pages6
JournalNaval Research Logistics
Volume43
Issue number2
DOIs
StatePublished - Mar 1996

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Ocean Engineering
  • Management Science and Operations Research

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