模糊无缺货生产模型最优生产量求解方法优化

Research on the Optimum Production of Fuzzy Demand Quantity and Fuzzy Production Quantity without Short Supply

关键词:  生产模型  积分均值法  符号距离法  最优生产量  总生产费用

Key words:  production model  mean integration  sign distance  optimal production quantity  total costs

摘要:

采用三角模糊数来替代日生产量和日需求量,运用扩张原理得到模糊无缺货生产模型后,分别采用积分均值法和符号距离法对模型求解,得到最小总费用和相应的最优生产量,然后通过对比两种方法求解得到的最小总费用和相应的最优生产量,判别模糊无缺货生产总费用模型的最优求解方法.单一的模型求解方法存在相应的缺陷,生产决策时采用两种或多种模型求解方法,可以获得比较理想的结果.

Abstract:

A production model is established bases on extension principle,in which the daily demand quantity and the production quantity are replaced by triangular fuzzy numbers and the supply is out of stock.The mean integration method and the sign distance method are used to derive the minimum total cost and the optimum production quantity.According to comparing the minimum total cost and the optimum production quantity based on the two methods,we can easily arrive at a conclusion that for solving the above fuzzy production model,there are always some limitations by one method only,adopting two or more methods can achieve rather ideal result.