A multi-category emergency goods distribution model and its algorithm

Chang Chun-guang, Song Xiaoyu, W. Lijie, Gao Bo
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Abstract

When large scale emergency incident happens, the multi-category emergency goods distribution is a complex problem. To improve structure and efficiency of emergency goods distribution, a multi-objective non-linear optimization programming model for emergency goods distribution is established. Modeling precondition is analyzed in detail, some objectives such as minimizing the waiting time, the transportation cost, the preference of selecting emergency commodity distribution center (ECDC) and so on are taken into account. The constraints of the model including total demand quantity and structure of disaster area, the transportation quantity and time from each ECDC are considered. The penalty factor method is employed to transform above model into an easy one, then GA is employed. The encoding system for multi-category emergency goods distribution is introduced, and the basic implement steps of GA are given in detail. The typical instance abstracted from practice is adopted to validate the validity of above model and algorithm, the experiment result shows that above model can describe the practical demand of multi-category emergency goods distribution, and GA is suitable for solving some complex non-linear programming problems such as multi-category emergency goods distribution. Above model and algorithm will benefit for the emergency goods distribution practice.
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一种多类别应急物资分配模型及其算法
当发生大型突发事件时,多类应急物资的分配是一个复杂的问题。为了提高应急物资配送的结构和效率,建立了应急物资配送的多目标非线性优化规划模型。详细分析了建模的前提条件,考虑了等待时间最小化、运输成本最小化、选择应急配送中心(ECDC)的优先性等目标。模型考虑了灾区总需求数量和结构约束、各中心的运输量和时间约束。采用惩罚因子法将上述模型转化为简单模型,然后采用遗传算法。介绍了多品类应急物资配送编码系统,详细介绍了遗传算法的基本实现步骤。采用从实践中抽取的典型实例验证了上述模型和算法的有效性,实验结果表明,该模型能较好地描述多类应急物资分配的实际需求,遗传算法适用于解决多类应急物资分配等复杂的非线性规划问题。该模型和算法对应急物资分配实践具有一定的指导意义。
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