基于可信性理论的模糊广义指派问题研究  

Study of Fuzzy Generalized Assignment Problem Based on Credibility Theory

作　　者：白雪洁[1,2] 许利军[3] 

机构地区：[1]河北大学管理学院,河北保定071002 [2]河北农业大学理学院,河北保定071001 [3]保定市畜牧水产局,河北保定071005

出　　处：《数学的实践与认识》2014年第19期229-234,共6页Mathematics in Practice and Theory

基　　金：河北省科技支撑计划项目(12232703);河北农业大学理工基金资助项目(LG201306)

摘　　要：鉴于广义指派问题的参数确定上通常包含不确定性,因此,将模型的主要参数,即单位费用、资源消耗量,用梯形模糊变量来刻画,从而建立模糊广义指派模型.在模型求解过程中,结合到决策者的实际要求,利用可信性理论将目标函数和约束条件进行清晰化处理,进而通过参数分解法求解.最后,通过数值例子说明模糊广义指派问题的应用,并检验所提方法的有效性.Considering that parameters of generalized assignment problem （GAP） have un- certainties, this paper develops a fuzzy GAP model in which the unit costs and resource amounts consumed are trapezoidal fuzzy variables with known possibility distributions. Based on the credibility theory and comprised with decision-maker＇ subjective and practical require- ments, the fuzzy GAP model is transformed to two crisp integer nonlinear programming models by defuzzifying objective function and constraints, respectively. After that, we adopt the pa- rameter decomposition method to solve the proposed model. Finally, a numerical example is presented to illustrate the validity of the method,

关 键 词：指派问题 广义指派问题 模糊规划 参数分解法 整数非线性规划 

分 类 号：O159[理学—数学] O221[理学—基础数学]