满意度优化运输问题

传统运输问题只考虑配送方案的效率, 而不考虑参与者对配送方案的满意度. 通过引入参与者对配送方案的满意度这一概念, 提出了满意度优化运输问题, 构建了以最大化相对公平为目标的满意度优化运输模型, 并证明了: (1) 当运输问题的可行域不空时, 新模型的解集非空; (2) 从满意度的角度来看, 新模型的解是唯一的. 另外, 还给出了新模型的求解方法. 研究结果进一步丰富了运输问题的类型, 可为解决其他类型运输问题提供借鉴.

Satisfaction optimization transportation problem

Traditional transportation problem only considers the efficiency of the distribution scheme rather than the members' satisfaction. After introducing the notion of member's satisfaction to the distribution scheme, this paper introduces the satisfaction optimization transportation problem, and proposes the satisfaction optimization transportation model aiming at maximizing the relative equalities among the members. Some further results are given, including: (1) If the feasible domain of the transportation problem is not empty, so does the solution set of the new model; (2) From the perspective of satisfaction, the model has a unique solution. Additionally, this paper gives a calculation method for the new model. Research results further enrich types of transportation problems, and can be taken as reference to solve other types of transportation problems.