Uncertain goal programming models for bicriteria solid transportation problem

作者：Chen, Lin; Peng, Jin^*; Zhang, Bo

来源：Applied Soft Computing, 2017, 51: 49-59.

DOI：10.1016/j.asoc.2016.11.027

• Bicriteria solid transportation problem
• Combinatorial optimization
• Uncertainty theory
• Uncertain goal programming

This paper investigates an uncertain bicriteria solid transportation problem. The supplies, demands, conveyance capacities, transportation cost and transportation time are regarded as uncertain variables. According to two types of methods to rank the uncertain variables, expected value goal programming model and chance-constrained goal programming model for the bicriteria solid transportation problem are constructed. It is proved that the expected value goal programming model and chance-constrained goal programming model can be respectively transformed into the corresponding deterministic equivalents by taking advantage of some properties of uncertainty theory. Based on these equivalence relations, the optimal transportation plans of the uncertain goal programming models can be obtained. Several numerical experiments are presented to illustrate the applications of the models.

• 出版日期2017-2
• 单位黄冈师范学院; 天津大学; 上海师范大学; 中南财经政法大学