Research on Goal Programming Algorithm Based on Lingo
Yanmei Yang, Jianyong Di, Yan Gao
Abstract
Yanmei Yang, Jianyong Di, Yan Gao
Abstract
Goal programming is an important branch of operational research. In this paper, the theory of goal programming is detailed introduced including basic concepts, the mathematical mode. The basic ideas to solve goal programming are transforming goal programming into single-objective linear programming. An optimal solution is attained when all the goals are reached as close as possible to their aspiration level, while satisfying a set of constraints. Two solving methods-the simplex algorithm and the method of LINGO software t are discussed in the paper. Finally goal programming model are applied to the actual management decisions, multi-objective programming model are established and used Lingo software to achieve satisfied solution.
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Goal programming is an important branch of operational research. In this paper, the theory of goal programming is detailed introduced including basic concepts, the mathematical mode. The basic ideas to solve goal programming are transforming goal programming into single-objective linear programming. An optimal solution is attained when all the goals are reached as close as possible to their aspiration level, while satisfying a set of constraints. Two solving methods-the simplex algorithm and the method of LINGO software t are discussed in the paper. Finally goal programming model are applied to the actual management decisions, multi-objective programming model are established and used Lingo software to achieve satisfied solution.
Key concepts: Computer science, Goal programming, Algorithm, Mathematical optimization, Mathematics