考虑紧迫度的捐赠物资分配与配送优化
首发时间:2022-11-25
摘要:疫情期间,公平和及时地进行捐赠物资调度备受瞩目。在捐赠物资受限情形下,针对多捐赠点多需求点捐赠物资调度问题,建立以公平性和及时性为目标的捐赠物资双层整数规划模型。给出需求满足度和紧迫度满足度定义,并将紧迫度满足度作为第一层分配方案优化变量之一,同时作为第二层配送方案优化的一个目标。构造配送任务集并计算配送时间极差。设计的决策变量映射编码避免产生无效的分配方案。采用引导狼数量和权重动态调整以及增加位置扰动因子方法改进灰狼优化算法(AGWO),提升灰狼优化算法(GWO)的开发和勘探能力。与GWO相比,最大需求满足度提高20%。紧迫度优先的公平性目标提高54.2%。最大需求满足度情形下的公平性目标提高7.7%,配送时间极差降低68.2%。实验验证了建立的模型和改进的算法是有效的和稳健的,优化精度和搜索性能明显优于比较的算法。
关键词: 捐赠物资分配与配送; 公平调度; 紧迫度; 灰狼优化算法; 映射编码; 扰动因子
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Optimization on allocation and distribution of donated materials considering degree of urgency
Abstract:During the epidemic period, the fair and timely dispatch of donated materials attracted much attention. In the case of limited donated materials, a two-level integer programming model of donated materials with fairness and timeliness as objectives is established for the scheduling problem of donated materials with multiple donation points and multiple demand points. The definitions of demand satisfaction and urgency satisfaction are given, and the urgency satisfaction is taken as one of the optimization variables of the first level allocation scheme, and as a goal of the second level distribution scheme optimization. The distribution task set is constructed and the distribution time range is calculated. The designed mapping code of decision variables avoids invalid allocation schemes. The grey wolf optimization algorithm (AGWO) is improved by dynamically adjusting the number and weight of guided wolves and increasing the position disturbance factor, so as to enhance the development and exploration capability of the grey wolf optimization algorithm (GWO). Compared with GWO, the maximum demand satisfaction is increased by 20%. The fairness goal is increased by 54.2% when urgency takes precedence. Under the condition of maximum demand satisfaction, the fairness target is improved by 7.7%, and the distribution time range is reduced by 68.2%. The experimental results show that the established model and the improved algorithm are effective and robust, and the optimization accuracy and search performance are significantly better than those of the comparative algorithm.
Keywords: management engineering multi-objective optimization meta-heuristic algorithm virus tracking tracing and screening the optimal within the error
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