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Information Journal Paper

Title

SOLVING NONLINEAR OPTIMIZATION PROBLEM BY MEASURE THEORY

Pages

  91-100

Keywords

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Abstract

 In this paper we consider unconstraint optimization problem as representation theorem and a control problem. Then by using Riesz admissible paires of control and state we transfer the problem to a problem in measure space. Then the problem is reduced to an infinitedimensional linear programming. The later problem is approximatedto a finite-dimentional linear programming and then by the solution of this linear programming we obtain the approximate optimal control function as a piecewise constant function. Then we optimal control function. The final end point of this trajectory is an approximate solution of the original unconstraint optimization problem. Finally we consider the optimization problems with constraints. We compare the approximate solution obtained by this method by approximate solutions obtained by some other well-known methods. At the end we solve some examples by this method to show the efficiency of this method.

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    APA: Copy

    MORADPOUR ZEYDANLOU, GH.H., VAHIDIAN KAMYAD, A., & EFATI, S.. (2001). SOLVING NONLINEAR OPTIMIZATION PROBLEM BY MEASURE THEORY. INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION MANAGEMENT (IJIE) (INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE) (PERSIAN), 12(3), 91-100. SID. https://sid.ir/paper/65856/en

    Vancouver: Copy

    MORADPOUR ZEYDANLOU GH.H., VAHIDIAN KAMYAD A., EFATI S.. SOLVING NONLINEAR OPTIMIZATION PROBLEM BY MEASURE THEORY. INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION MANAGEMENT (IJIE) (INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE) (PERSIAN)[Internet]. 2001;12(3):91-100. Available from: https://sid.ir/paper/65856/en

    IEEE: Copy

    GH.H. MORADPOUR ZEYDANLOU, A. VAHIDIAN KAMYAD, and S. EFATI, “SOLVING NONLINEAR OPTIMIZATION PROBLEM BY MEASURE THEORY,” INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION MANAGEMENT (IJIE) (INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE) (PERSIAN), vol. 12, no. 3, pp. 91–100, 2001, [Online]. Available: https://sid.ir/paper/65856/en

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    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
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