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On the relationship between entropy, demand uncertainty, and expected loss

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  • Fleischhacker, Adam J.
  • Fok, Pak-Wing

Abstract

We analyze the effect of demand uncertainty, as measured by entropy, on expected costs in a stochastic inventory model. Existing models studying demand variability’s impact use either stochastic ordering techniques or use variance as a measure of uncertainty. Due to both axiomatic appeal and recent use of entropy in the operations management literature, this paper develops entropy’s use as a demand uncertainty measure. Our key contribution is an insightful proof quantifying how costs are non-increasing when entropy is reduced.

Suggested Citation

  • Fleischhacker, Adam J. & Fok, Pak-Wing, 2015. "On the relationship between entropy, demand uncertainty, and expected loss," European Journal of Operational Research, Elsevier, vol. 245(2), pages 623-628.
    • Handle: RePEc:eee:ejores:v:245:y:2015:i:2:p:623-628
    DOI: 10.1016/j.ejor.2015.03.014
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    References listed on IDEAS

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    Cited by:

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    2. Bajgiran, Amirsaman H. & Mardikoraem, Mahsa & Soofi, Ehsan S., 2021. "Maximum entropy distributions with quantile information," European Journal of Operational Research, Elsevier, vol. 290(1), pages 196-209.
    3. Asadi, Majid & Ebrahimi, Nader & Soofi, Ehsan S., 2018. "Optimal hazard models based on partial information," European Journal of Operational Research, Elsevier, vol. 270(2), pages 723-733.
    4. Shi, Jia & Li, Qiang & Chu, Lap Keung & Shi, Yuan, 2021. "Effects of demand uncertainty reduction on the selection of financing approach in a capital-constrained supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 148(C).
    5. Meng, Qingfeng & Li, Zhen & Liu, Huimin & Chen, Jingxian, 2017. "Agent-based simulation of competitive performance for supply chains based on combined contracts," International Journal of Production Economics, Elsevier, vol. 193(C), pages 663-676.
    6. J. Arismendi-Zambrano & R. Azevedo, 2020. "Implicit Entropic Market Risk-Premium from Interest Rate Derivatives," Economics Department Working Paper Series n303-20.pdf, Department of Economics, National University of Ireland - Maynooth.

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