1. Fuzzy weighted equilibrium multi-job assignment problem and genetic algorithm
- Author
-
Liu, Linzhong and Gao, Xin
- Subjects
- *
ASSIGNMENT problems (Programming) , *EQUILIBRIUM , *FUZZY sets , *GENETIC algorithms , *MATHEMATICAL models , *MATHEMATICAL analysis - Abstract
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. [Copyright &y& Elsevier]
- Published
- 2009
- Full Text
- View/download PDF