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Study on two-stage uncertain programming based on uncertainty theory

Author

Listed:
  • Mingfa Zheng

    (Xi’an Jiaotong University)

  • Yuan Yi

    (Xi’an Jiaotong University)

  • Zutong Wang

    (Air Force Engineering University)

  • Jeng-Fung Chen

    (Feng Chia University)

Abstract

In this paper, based on uncertainty theory, we first present a new class of two-stage uncertain programming model and give its deterministic equivalent programming problem. Then some fundamental properties of the two-stage uncertain programming problem, including the convexity of feasible set as well as objective function, are investigated. In addition, a solution method by employing an efficiently heuristic algorithm, called artificial bee colony algorithm, is applied to solve the two-stage uncertain programming problem. Finally, some numerical examples are provided to illustrate the novel method introduced in this paper.

Suggested Citation

  • Mingfa Zheng & Yuan Yi & Zutong Wang & Jeng-Fung Chen, 2017. "Study on two-stage uncertain programming based on uncertainty theory," Journal of Intelligent Manufacturing, Springer, vol. 28(3), pages 633-642, March.
    • Handle: RePEc:spr:joinma:v:28:y:2017:i:3:d:10.1007_s10845-014-1012-6
    DOI: 10.1007/s10845-014-1012-6
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    References listed on IDEAS

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