Fuzzy weighted equilibrium multi-job assignment problem and genetic algorithm

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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. © 2009.

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APA

Liu, L., & Gao, X. (2009). Fuzzy weighted equilibrium multi-job assignment problem and genetic algorithm. Applied Mathematical Modelling, 33(10), 3926–3935. https://doi.org/10.1016/j.apm.2009.01.014

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