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中文摘要：
面对市场模糊需求，建立了两层决策系统中负指数折扣多产品资金约束报童模型．对制造商而言，该模型不仅可实现一般文献中求解折扣价格的目的，还可计算出起始折扣点（或折扣区间）；对批发商而言，该模型可获得资金约束条件下多产品的订购策略．结合模糊模拟技术与遗传算法，设计了混合智能算法对模型进行求解．算例分析表明，当制造商采取负指数型折扣时，既使得批发商订购量达到资金约束上限，又使得制造商和批发商利润均增加．因此，该负指数折扣有效且在两层决策系统意义上可实现完美协调．
英文摘要：
Facing fuzzy market demand, this paper presents bilevel decision models for system with negative exponential quantity discounts and capital constraint. To supplier, not only can these models obtain discount price in current literatures, but also can get the initial points （or intervals） of quantity discounts. To wholesaler, the models can obtain order strategy for multiple products under capital constraint. In order to solve the models, a hybrid intelligent algorithm based on fuzzy simulation and genetic algorithm is developed. A numerical example shows that, when supplier adopts negative expo- nential quantity discounts, wholesaler＇ s order quantity will achieve the upper limit of the capital constraint, while profits of supplier and wholesaler will increase. Therefore, the negative exponential quantity discounts are effective, and can achieve perfect coordination for bilevel decision system.
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