# مقالههای Akbar Hashemi Borzabadi

**توجه:**محتویات این صفحه به صورت خودکار پردازش شده و مقالههای نویسندگانی با تشابه اسمی، همگی در بخش یکسان نمایش داده میشوند.

##### ۱A Quasi–Newton Modication for Newton Method Based Approach of Solving Multiobjective Optimization Problems

اطلاعات انتشار:
کنفرانس بین المللی مدل سازی غیر خطی و بهینه سازی،
سال ۱۳۹۱

تعداد صفحات:
۵

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<\div>

##### ۲Approximate Pareto Optimal Solutions of Multi–objective Optimal Control Problems by Evolutionary Algorithms

اطلاعات انتشار:
کنفرانس بین المللی مدل سازی غیر خطی و بهینه سازی،
سال ۱۳۹۱

تعداد صفحات:
۷

In this paper an approach based on evolutionary algorithms to find Pareto optimal pair of state and control for multi–objective optimal control problems is offered. The first, adiscretized form of the time–control space is considered. Then, corresponding to a piecewise linear control form discretized time–control space and a numerical approach ofsolving differential equations, a piecewise linear trajectory is obtained .A numerical integration method allow us to discretize the objective functions and so a special multiobjective optimization problem is created. A modified evolutionary algorithm for obtaining Pareto optimal solutions of new problem with considering the final state conditions is proposed, to extract approximate solutions of original problem. Numerical example is presented to show the proficiency of the given approach<\div>

##### ۳Population based algorithms for approximate optimal distributed control of wave equations

اطلاعات انتشار:
Iranian Journal of Numerical Analysis and Optimization،
چهارم،شماره۲، ۲۰۱۴،
سال ۰

تعداد صفحات:
۱۱

In this paper, a novel hybrid iterative scheme to find approximate optimal distributed control governed by wave equations is considered. A partition of the time–control space is considered and the discrete form of the problem is converted to a quasi assignment problem. Then a population based algorithm, with a finite difference method, is applied to extract approximate optimal distributed control as a piecewise linear function. A convergence analysis is proposed for discretized form of the original problem. Numerical computations are given to show the profciency of the proposed algorithm and the obtained results applying two popular evolutionary algorithms, genetic and particle swarm optimization algorithms.

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