带有短缺的模糊生产-库存模型

The fuzzy production-inventory model in consideration of shortages

在实际生产环境中,许多生产因素是模糊的,通常用模糊语言来描述。文章基于经典的带有短缺的生产-库存模型,在全部生产要素均为模糊数的假设下,建立了模糊生产-库存的数学模型。将广义Lagrange乘子法与反证法相结合,给出模型最优解的求解过程。从而进一步说明,该模型更加适应于实际生产环境。

In view of the fact that many production factors are fuzzy under actual circumstances and usually described by fuzzy language,based on the classic production-inventory model with shortages considered, the mathematical model of fuzzy production-inventory is established assuming that all of the production factors are fuzzy numbers. A procedure for finding the optimal solutions is provided by combining the generalized Lagrangian multiplier method with proof by contradiction. The classic model can be regarded as the special one of the given model. An application example shows that the presented model is more feasible.