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考虑缺货的模糊库存模型及其优化求解 被引量:20

Fuzzy Inventory Model with Backorder and Its Optimum Solution
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摘要 研究了考虑缺货时多模糊参数的库存模型优化求解问题。采用梯形模糊数对库存问题进行了描述。当订货量为常数时,基于函数原理,采用梯级平均综合表示法进行了解模糊,对允许适度缺货的库存模型进行了建模和优化求解。当订货量为模糊数时,将扩展拉格朗日法与反证法相结合,解决了不等式约束库存求解问题,结果表明运用模糊数学来解决库存问题是合理可行的。 The optimization of multi-fuzzy parameters inventory models with backorder was discussed. Fuzzy theory was introduced and the inventory model was described with trapezoidal fuzzy numb. Under the arithmetical operations of function principle, by using graded mean integration representation method was used to defuzzy when the order quantity is real. The extension of the lagrangian method was integrated with reduction to absurdity to solve inequality constrain problem when the order volume is fuzzy number. The result indicates these fuzzy inventory models can be used practically.
作者 张群 李群霞
出处 《管理学报》 2006年第4期460-463,504,共5页 Chinese Journal of Management
关键词 幸存模型 模糊理论 缺货 梯级平均综合表示法 扩展Lagrangean方法 inventory model fuzzy theory backorder graded mean integration representation extension of lagrangean method
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参考文献15

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