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A Noninterior Path following Algorithm for Solving a Class of Multiobjective Programming Problems

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  • Menglong Su
  • Zhengbang Zha
  • Zhonghai Xu

Abstract

Multiobjective programming problems have been widely applied to various engineering areas which include optimal design of an automotive engine, economics, and military strategies. In this paper, we propose a noninterior path following algorithm to solve a class of multiobjective programming problems. Under suitable conditions, a smooth path will be proven to exist. This can give a constructive proof of the existence of solutions and lead to an implementable globally convergent algorithm. Several numerical examples are given to illustrate the results of this paper.

Suggested Citation

  • Menglong Su & Zhengbang Zha & Zhonghai Xu, 2014. "A Noninterior Path following Algorithm for Solving a Class of Multiobjective Programming Problems," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-10, August.
    • Handle: RePEc:hin:jnlmpe:835819
    DOI: 10.1155/2014/835819
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