Automatic Search for Pareto-optimal Solution Space in Multiobjective Optimization Using Continuous Evolutionary Algorithm

2000 ◽  
Vol 2000.13 (0) ◽  
pp. 301-302
Author(s):  
Shinobu YOSHIMURA ◽  
Tomonari FURUKAWA ◽  
Genki YAGAWA ◽  
M. B. SHIM ◽  
M. W. SUH
Keyword(s):  
Multiobjective Optimization ◽  
Evolutionary Algorithm ◽  
Optimal Solution ◽  
Solution Space ◽  
Pareto Optimal Solution ◽  
Pareto Optimal ◽  
Automatic Search

Multi-Objective Optimization Algorithm Design and Implementation of Mobile Base Station Site Selection

2010 ◽  
Vol 29-32 ◽  
pp. 2496-2502
Author(s):  
Min Wang ◽  
Jun Tang
Keyword(s):  
Site Selection ◽  
Engineering Application ◽  
Optimal Solution ◽  
Base Station ◽  
Pareto Optimal Solution ◽  
Antibody Concentration ◽  
Pareto Optimal ◽  
Memory Cells ◽  
Multi Objective Optimization ◽  
Multi Objective

The number of base station location impact the network quality of service. A new method is proposed based on immune genetic algorithm for site selection. The mathematical model of multi-objective optimization problem for base station selection and the realization of the process were given. The use of antibody concentration selection ensures the diversity of the antibody and avoiding the premature convergence, and the use of memory cells to store Pareto optimal solution of each generation. A exclusion algorithm of neighboring memory cells on the updating and deleting to ensure that the Pareto optimal solution set of the distribution. The experiments results show that the algorithm can effectively find a number of possible base station and provide a solution for the practical engineering application.

Interactive Decision Making for Fuzzy Random Multiobjective Linear Programming Problems with Variance Covariance Matrices Through Fractile Optimization

2014 ◽  
Vol 18 (3) ◽  
pp. 383-390
Author(s):  
Hitoshi Yano ◽  
Keyword(s):  
Optimal Solution ◽  
Pareto Optimal Solution ◽  
Covariance Matrices ◽  
Pareto Optimal ◽  
Membership Functions ◽  
Multiobjective Linear Programming ◽  
Satisfactory Solution ◽  
Interactive Decision Making ◽  
Linear Programming Problems ◽  
Fuzzy Random

In this paper, we focus on fuzzy random multiobjective linear programming problems with variance covariance matrices through fractile optimization, and propose an interactive decision making method to obtain a satisfactory solution. In the proposed method, it is assumed that the decision maker has fuzzy goals for not only permissible probability levels but also the corresponding objective functions. Such fuzzy goals are quantified by eliciting the corresponding membership functions. Using the fuzzy decision, such two kinds of membership functions are integrated, andDf-Pareto optimal solution concept is defined in the integrated membership space. By using the bisection method and the convex programming technique, a satisfactory solution is obtained from among aDf-Pareto optimal solution set through the interaction with the decision maker.

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