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

Author

Listed:
  • Rossi, Roberto
  • Armagan Tarim, S.
  • Hnich, Brahim
  • Prestwich, Steven
  • Guran, Cahit

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.

Suggested Citation

  • Rossi, Roberto & Armagan Tarim, S. & Hnich, Brahim & Prestwich, Steven & Guran, Cahit, 2009. "A note on Liu-Iwamura's dependent-chance programming," European Journal of Operational Research, Elsevier, vol. 198(3), pages 983-986, November.
    • Handle: RePEc:eee:ejores:v:198:y:2009:i:3:p:983-986
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    References listed on IDEAS

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    1. A. Charnes & W. W. Cooper, 1959. "Chance-Constrained Programming," Management Science, INFORMS, vol. 6(1), pages 73-79, October.
    2. Liu, Baoding & Iwamura, Kakuzo, 1997. "Modelling stochastic decision systems using dependent-chance programming," European Journal of Operational Research, Elsevier, vol. 101(1), pages 193-203, August.
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    1. Borodin, Valeria & Dolgui, Alexandre & Hnaien, Faicel & Labadie, Nacima, 2016. "Component replenishment planning for a single-level assembly system under random lead times: A chance constrained programming approach," International Journal of Production Economics, Elsevier, vol. 181(PA), pages 79-86.

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