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B. El-Sobky, “A Global Convergence Theory for an Active Trust Region Algorithm for Solving the General Nonlinear Programming Problem,” Applied Mathematics and Computation, Vol. 144, No. 1, 2003, pp. 127-157. doi:10.1016/S0096-3003(02)00397-1

has been cited by the following article:

• TITLE: Reference Point Based TR-PSO for Multi-Objective Environmental/Economic Dispatch

  AUTHORS: Ahmed Ahmed El-Sawy, Zeinab Mohamed Hendawy, Mohamed A. El-Shorbagy

  KEYWORDS: Environmental/Economic Dispatch; Trust Region; Particle Swarm Optimization; Multi-Objective Optimization

  JOURNAL NAME: Applied Mathematics, Vol.4 No.5, May 20, 2013

  ABSTRACT: A reference point based multi-objective optimization using a combination between trust region (TR) algorithm and particle swarm optimization (PSO) to solve the multi-objective environmental/economic dispatch (EED) problem is presented in this paper. The EED problem is handled by Reference Point Interactive Approach. One of the main advantages of the proposed approach is integrating the merits of both TR and PSO, where TR has provided the initial set (close to the Pareto set as possible and the reference point of the decision maker) followed by PSO to improve the quality of the solutions and get all the points on the Pareto frontier. The performance of the proposed algorithm is tested on standard IEEE 30-bus 6-genrator test system and is compared with conventional methods. The results demonstrate the capabilities of the proposed approach to generate true and well-distributed Pareto-optimal non-dominated solutions in one single run. The comparison with the classical methods demonstrates the superiority of the proposed approach and confirms its potential to solve the multi-objective EED problem.