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Note: “Simultaneous optimization of efficiency and performance balance measures in single‐machine scheduling problems”

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  • Michael X. Weng
  • Jose A. Ventura

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. © 1996 John Wiley & Sons, Inc.

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  • Michael X. Weng & Jose A. Ventura, 1996. "Note: “Simultaneous optimization of efficiency and performance balance measures in single‐machine scheduling problems”," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(2), pages 313-318, March.
    • Handle: RePEc:wly:navres:v:43:y:1996:i:2:p:313-318
    DOI: 10.1002/(SICI)1520-6750(199603)43:23.0.CO;2-W
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    References listed on IDEAS

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    1. Kenneth R. Baker & Gary D. Scudder, 1990. "Sequencing with Earliness and Tardiness Penalties: A Review," Operations Research, INFORMS, vol. 38(1), pages 22-36, February.
    2. Awi Federgruen & Gur Mosheiov, 1993. "Simultaneous optimization of efficiency and performance balance measures in single‐machine scheduling problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(7), pages 951-970, December.
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