A note on Liu-Iwamura's dependent-chance programming

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Abstract

Sometimes a complex stochastic decision system undertakes multiple tasks called events, and the decision-maker wishes to maximize the chance functions which are defined as the probabilities of satisfying these events. Originally introduced by Liu and Iwamura [B. Liu, K. Iwamura, Modelling stochastic decision systems using dependent-chance programming, European Journal of Operational Research 101 (1997) 193-203], dependent-chance programming is aimed at maximizing some chance functions of events in an uncertain environment. In this work, we show that the original dependent chance-programming framework needs to be extended in order to capture an exact reliability measure for a given plan.

Original languageEnglish
Pages (from-to)983-986
Number of pages4
JournalEuropean Journal of Operational Research
Volume198
Issue number3
DOIs
Publication statusPublished - 1 Nov 2009

Keywords

  • Constraint programming
  • Demand uncertainty
  • Integer programming
  • Inventory control

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