In this paper, a direct solution approach for solving fuzzy multiple objective generalizedassignmentproblems is proposed. In the problem, the coefficients and right hand side values of the constraints and the object...
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In this paper, a direct solution approach for solving fuzzy multiple objective generalizedassignmentproblems is proposed. In the problem, the coefficients and right hand side values of the constraints and the objective function coefficients are defined as fuzzy numbers. The addressed problem also has a multiple objective structure where the goals are determined so as to minimize the total cost and the imbalance between the workload of the agents. The direct solution approach utilizes the fuzzy ranking methods to rank the objective function values and to determine the feasibility of the constraints within a metaheuristic search algorithm, known as bees algorithm. Different fuzzy ranking methods, namely signed distance, integral value and area based approach are used in bees algorithm. For the computational study, the effects of these fuzzy ranking methods on the quality of the solutions are also analyzed. (C) 2012 Elsevier Ltd. All rights reserved.
In this paper, the limitations of existing methods to solve the problems of fuzzyassignment, fuzzy travelling salesman and fuzzygeneralizedassignment are pointed out. All these problems can be formulated in linear ...
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In this paper, the limitations of existing methods to solve the problems of fuzzyassignment, fuzzy travelling salesman and fuzzygeneralizedassignment are pointed out. All these problems can be formulated in linear programming problems wherein the decision variables are represented by real numbers and other parameters are represented by fuzzy numbers. To overcome the limitations of existing methods, a new method is proposed. The advantage of proposed method over existing methods is demonstrated by solving the problems mentioned above which can or cannot be solved by using the existing methods.
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