模糊随机需求下多产品报童问题的均衡策略

摘要

针对模糊随机需求下单制造商多零售商的分布控制型多产品报童问题, 建立了含资金约束的期望利润最大化两层规划模型.结合模糊随机模拟技术与遗传算法, 设计了求解模型的混合智能算法.该算法不仅可获得上层制造商的最优折扣批发价及下层零售商的最优订购量,亦可求得该折扣形式的起始折扣点(折扣区间).算例分析表明,当制造商采取最优数量折扣策略时:1)促使零售商订货量增加至资金约束上限;2)部分产品订货量可达模糊随机市场需求的最大可能值:3)零售商和制造商的利润均增加.%Aimed at the issue of decentralized multi-newsboy problem with fuzzy random demands, a bi-level programming model for maximum expected profit is formulated.In order to solve the model, a hybrid intelligent algorithm based on fuzzy random simulation and genetic algorithm is designed.The model not only can obtain the top-level manufacturer's optimal discounts prices and lower-level retailer's optimal ordering strategies, but also can get discounts intervals ( discount points).A numerical example analysis shows that, when the manufacturer takes the optimal quantity discount strategy: 1 ) retailers' order quantity will be stimulated to achieve the upper limit of the capital constraint; 2)order quantity of partial products can reach maximum possible value of the fuzzy random market demand; 3 ) both the profits of retailers and manufacturer will increase.