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Technical Note—A Generalized Maximum Entropy Principle

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  • Marlin U. Thomas

    (University of Michigan, Ann Arbor, Michigan)

Abstract

We describe a generalized maximum entropy principle for dealing with decision problems involving uncertainty but with some prior knowledge about the probability space corresponding to nature. This knowledge is expressed through known bounds on event probabilities and moments, which can be incorporated into a nonlinear programming problem. The solution provides a maximum entropy distribution that is then used in treating the decision problem as one involving risk. We describe an example application that involves the selection of oil spill recovery systems for inland harbor regions.

Suggested Citation

  • Marlin U. Thomas, 1979. "Technical Note—A Generalized Maximum Entropy Principle," Operations Research, INFORMS, vol. 27(6), pages 1188-1196, December.
    • Handle: RePEc:inm:oropre:v:27:y:1979:i:6:p:1188-1196
    DOI: 10.1287/opre.27.6.1188
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    Cited by:

    1. Marlin U. Thomas & Sridevi S. Rao, 1999. "Warranty Economic Decision Models: A Summary and Some Suggested Directions for Future Research," Operations Research, INFORMS, vol. 47(6), pages 807-820, December.
    2. Zhou, Wei & Zhang, Cheng & Wang, Qiangqiang, 2018. "Concealment measurement and flow distribution of military supply transportation: A double-entropy model," European Journal of Operational Research, Elsevier, vol. 264(2), pages 570-581.
    3. Igor Lazov, 2019. "A Methodology for Revenue Analysis of Parking Lots," Networks and Spatial Economics, Springer, vol. 19(1), pages 177-198, March.
    4. Wouter Boomsma & Jesper Ferkinghoff-Borg & Kresten Lindorff-Larsen, 2014. "Combining Experiments and Simulations Using the Maximum Entropy Principle," PLOS Computational Biology, Public Library of Science, vol. 10(2), pages 1-9, February.
    5. Bogdan Grechuk & Anton Molyboha & Michael Zabarankin, 2009. "Maximum Entropy Principle with General Deviation Measures," Mathematics of Operations Research, INFORMS, vol. 34(2), pages 445-467, May.

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