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An Improved Particle Swarm Optimization for Solving Bilevel Multiobjective Programming Problem

Author

Listed:
  • Tao Zhang
  • Tiesong Hu
  • Yue Zheng
  • Xuning Guo

Abstract

An improved particle swarm optimization (PSO) algorithm is proposed for solving bilevel multiobjective programming problem (BLMPP). For such problems, the proposed algorithm directly simulates the decision process of bilevel programming, which is different from most traditional algorithms designed for specific versions or based on specific assumptions. The BLMPP is transformed to solve multiobjective optimization problems in the upper level and the lower level interactively by an improved PSO. And a set of approximate Pareto optimal solutions for BLMPP is obtained using the elite strategy. This interactive procedure is repeated until the accurate Pareto optimal solutions of the original problem are found. Finally, some numerical examples are given to illustrate the feasibility of the proposed algorithm.

Suggested Citation

  • Tao Zhang & Tiesong Hu & Yue Zheng & Xuning Guo, 2012. "An Improved Particle Swarm Optimization for Solving Bilevel Multiobjective Programming Problem," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:626717
    DOI: 10.1155/2012/626717
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    References listed on IDEAS

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    1. Ya Gao & Guangquan Zhang & Jie Lu & Hui-Ming Wee, 2011. "Particle swarm optimization for bi-level pricing problems in supply chains," Journal of Global Optimization, Springer, vol. 51(2), pages 245-254, October.
    2. I. Nishizaki & M. Sakawa, 1999. "Stackelberg Solutions to Multiobjective Two-Level Linear Programming Problems," Journal of Optimization Theory and Applications, Springer, vol. 103(1), pages 161-182, October.
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    Cited by:

    1. Jun Gang & Jiuping Xu & Yinfeng Xu, 2013. "Multiproject Resources Allocation Model under Fuzzy Random Environment and Its Application to Industrial Equipment Installation Engineering," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    2. Ming-Ta Yang & An Liu, 2013. "Applying Hybrid PSO to Optimize Directional Overcurrent Relay Coordination in Variable Network Topologies," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    3. Jianxue Wang & Jianming Lu & Zhaohong Bie & Shutang You & Xiaoyu Cao, 2014. "Long‐Term Maintenance Scheduling of Smart Distribution System through a PSO‐TS Algorithm," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).

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