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为了研究随机需求下供应链系统中多零售商的横向转载问题,提出了一种基于随机规划方法的多零售商横向转载模型,并设计了一种启发式算法用于模型求解.考察由一个外部供应商和多个零售商组成的供应链系统,供应商和零售商均采用order-up-to方法控制库存,零售商面临随机性需求且相互之间存在横向转载.在横向转载经典假设条件下,构建了以供应链总成本为目标的混合0-1规划模型.考虑到该模型中存在随机变量,将模型转化为随机期望值规划模型进行求解,结合随机拟梯度算法及遗传算法设计了一类启发式算法来求解模型,给出了详细的求解过程.利用数值算例的仿真结果验证了模型及算法的有效性,还就需求相关程度的影响及转载假设条件的影响进行了详细分析.研究结果表明:模型及算法对存在横向转载的供应链系统确定最优库存水平是相当有效的.
In order to study the problem of multi-retailer’s horizontal reprinting in supply chain system under stochastic demand, a multi-retailer cross-reprinting model based on stochastic programming method is proposed and a heuristic algorithm is designed for solving the problem. Suppliers and multiple retailers supply chain system, suppliers and retailers are used order-up-to control inventory, retailers are faced with random needs and there is a horizontal reprint between them.In the horizontal transfer classic assumptions , A mixed 0-1 programming model with the goal of total supply chain cost is constructed.According to the stochastic variables in this model, the model is transformed into a stochastic expectation value programming model to solve, and a class of stochastic gradient algorithm and genetic algorithm Heuristic algorithm to solve the model and give a detailed solution process.The numerical simulation results show the validity of the model and the algorithm, and the effects of the correlation of requirements and the impact of the reprint assumption are analyzed in detail. The results show that the model and algorithm are quite effective in determining the optimal inventory level for the supply chain system with horizontal reprinting.