Bilevel programming problems are of growing interest both from theoretical and practical points of view.In this paper,we study a pessimistic bilevel programming problem in which the set of solutions of the lower level...Bilevel programming problems are of growing interest both from theoretical and practical points of view.In this paper,we study a pessimistic bilevel programming problem in which the set of solutions of the lower level problem is discrete.We first transform such a problem into a single-level optimization problem by using the maximum-entropy techniques.We then present a maximum entropy approach for solving the pessimistic bilevel programming problem.Finally,two examples illustrate the feasibility of the proposed approach.展开更多
This article argues that there is no principle of maximum entropy which describes the evolutionary direction of the economic system.It describes a general method of calculating a distribution fuction of the system whi...This article argues that there is no principle of maximum entropy which describes the evolutionary direction of the economic system.It describes a general method of calculating a distribution fuction of the system which has maximum entropy under constrained conditions.展开更多
基金Supported by the National Natural Science Foundation of China(11501233)the Key Project of Anhui Province University Excellent Youth Support Plan(gxyq ZD2016102)
文摘Bilevel programming problems are of growing interest both from theoretical and practical points of view.In this paper,we study a pessimistic bilevel programming problem in which the set of solutions of the lower level problem is discrete.We first transform such a problem into a single-level optimization problem by using the maximum-entropy techniques.We then present a maximum entropy approach for solving the pessimistic bilevel programming problem.Finally,two examples illustrate the feasibility of the proposed approach.
文摘This article argues that there is no principle of maximum entropy which describes the evolutionary direction of the economic system.It describes a general method of calculating a distribution fuction of the system which has maximum entropy under constrained conditions.
