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A Genetic-Algorithms-Based Approach for Programming Linear and Quadratic Optimization Problems with Uncertainty

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  • Weihua Jin
  • Zhiying Hu
  • Christine W. Chan

Abstract

This paper proposes a genetic-algorithms-based approach as an all-purpose problem-solving method for operation programming problems under uncertainty. The proposed method was applied for management of a municipal solid waste treatment system. Compared to the traditional interactive binary analysis, this approach has fewer limitations and is able to reduce the complexity in solving the inexact linear programming problems and inexact quadratic programming problems. The implementation of this approach was performed using the Genetic Algorithm Solver of MATLAB (trademark of MathWorks). The paper explains the genetic-algorithms-based method and presents details on the computation procedures for each type of inexact operation programming problems. A comparison of the results generated by the proposed method based on genetic algorithms with those produced by the traditional interactive binary analysis method is also presented.

Suggested Citation

  • Weihua Jin & Zhiying Hu & Christine W. Chan, 2013. "A Genetic-Algorithms-Based Approach for Programming Linear and Quadratic Optimization Problems with Uncertainty," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-12, December.
    • Handle: RePEc:hin:jnlmpe:272491
    DOI: 10.1155/2013/272491
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