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A Quasi-Newton Modication for Newton Method Based Approach of Solving Multiobjective Optimization Problems

عنوان مقاله: A Quasi-Newton Modication for Newton Method Based Approach of Solving Multiobjective Optimization Problems
شناسه ملی مقاله: ICNMO01_011
منتشر شده در کنفرانس بین المللی مدل سازی غیر خطی و بهینه سازی در سال 1391
مشخصات نویسندگان مقاله:

Akbar Hashemi Borzabadi - School of Mathematics and Computer Science, Damghan University, ۳۶۷۱۶-۴۱۱۶۷, Damghan, Iran
Maryam Shahmohamadi - School of Mathematics and Computer Science, Damghan University, ۳۶۷۱۶-۴۱۱۶۷, Damghan, Iran,

خلاصه مقاله:
In this paper a quasi-Newton method based on an extension of Newton methods is presented for unconstraint multiobjective optimization. By using BFGS formula, a quasi-Newton's direction at each iteration is obtainedby minimizing the max-ordering scalarization of the variations on the quadratic approximations of the objective function. To show the campetency of the given approach, comparison of the results by applying the modified approach and Newton method illustrated

کلمات کلیدی:
Multiobjctive programming, Pareto point, Newton's method, Quasi-Newton method

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/187605/