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Continuous-Time Generalized Fractional Programming Problems, Part II: An Interval-Type Computational Procedure

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  • Ching-Feng Wen

    (Center for General Education Kaohsiung Medical University)

Abstract

The theory presented in Part I (Wen in J. Optim. Theory Appl. 2012) of this study led to a theoretical parametric procedure for continuous-time generalized fractional programming problems. In this paper (Part II), an interval-type computational procedure by combining the parametric method and discretization approach is proposed. The proposed method is promising particularly when it is acceptable to find an effective, but near-optimal value in an efficient manner. Once the error tolerance is predetermined, we can determine the size of discretization in advance such that the accuracy of the corresponding approximate solution can be controlled within the predefined error tolerance. Hence, the trade-off between the quality of the results and the simplification of the problem can be controlled by the decision maker. Finally, we provide some numerical examples to implement our proposed method.

Suggested Citation

  • Ching-Feng Wen, 2013. "Continuous-Time Generalized Fractional Programming Problems, Part II: An Interval-Type Computational Procedure," Journal of Optimization Theory and Applications, Springer, vol. 156(3), pages 819-843, March.
    • Handle: RePEc:spr:joptap:v:156:y:2013:i:3:d:10.1007_s10957-012-0131-5
    DOI: 10.1007/s10957-012-0131-5
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    References listed on IDEAS

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    1. Ching-Feng Wen & Yung-Yih Lur & Yan-Kuen Wu, 2010. "A recurrence method for a special class of continuous time linear programming problems," Journal of Global Optimization, Springer, vol. 47(1), pages 83-106, May.
    2. Ching-Feng Wen & Hsien-Chung Wu, 2011. "Using the Dinkelbach-type algorithm to solve the continuous-time linear fractional programming problems," Journal of Global Optimization, Springer, vol. 49(2), pages 237-263, February.
    3. Ching-Feng Wen & Hsien-Chung Wu, 2012. "Using the parametric approach to solve the continuous-time linear fractional max–min problems," Journal of Global Optimization, Springer, vol. 54(1), pages 129-153, September.
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