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Hybrid multilevel programming with uncertain random parameters

Author

Listed:
  • Hua Ke

    (Tongji University)

  • Junjie Ma

    (Tongji University)

  • Guangdong Tian

    (Northeast Forestry University)

Abstract

Multilevel programming is developed for modeling decentralized decision-making processes. For different management requirements and risk tolerances of different-level decision-makers, the decision-making criteria applied in different levels cannot be always the same. In this paper, a hybrid multilevel programming model with uncertain random parameters based on expected value model (EVM) and dependent-chance programming (DCP), named as EVM–DCP hybrid multilevel programming, is proposed. The corresponding concepts of Nash equilibrium and Stackelberg–Nash equilibrium are given. For some special case, an equivalent crisp mathematical programming is proposed. An approach integrating uncertain random simulations, Nash equilibrium searching approach and genetic algorithm is designed. Finally, a numerical experiment of uncertain random supply chain pricing decision problem is given.

Suggested Citation

  • Hua Ke & Junjie Ma & Guangdong Tian, 2017. "Hybrid multilevel programming with uncertain random parameters," Journal of Intelligent Manufacturing, Springer, vol. 28(3), pages 589-596, March.
    • Handle: RePEc:spr:joinma:v:28:y:2017:i:3:d:10.1007_s10845-014-0985-5
    DOI: 10.1007/s10845-014-0985-5
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    References listed on IDEAS

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