Fuzzy weighted equilibrium multi-job assignment problem and genetic algorithm |
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| Authors: | Linzhong Liu Xin Gao |
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| Institution: | 1. School of Traffic and Transportation, Lanzhou Jiaotong University, Lanzhou 730070, China;2. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China |
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| Abstract: | In this paper, the equilibrium optimization problem is proposed and the assignment problem is extended to the equilibrium multi-job assignment problem, equilibrium multi-job quadratic assignment problem and the minimum cost and equilibrium multi-job assignment problem. Furthermore, the mathematical models of the equilibrium multi-job assignment problem and the equilibrium multi-job quadratic assignment problem with fuzzy parameters are formulated. Finally, a genetic algorithm is designed for solving the proposed programming models and some numerical examples are given to verify the efficiency of the designed algorithm. |
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| Keywords: | Assignment problem Credibility theory Fuzzy set Equilibrium optimization Quadratic assignment problem |
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