离散模糊需求报童问题的可能性模型研究

Research on Possibility Model of Newsboy Problem with Discrete Fuzzy Demand

基于可能性分布函数质心特征值,本文建立了确定离散模糊需求报童问题订货量的利润模型,并分析了成本模型和利润模型的关系。研究结果表明:1)基于可能性分布函数质心的模糊可能性成本和利润模型确定的订货量不一致;2)对应不同订货量,模糊可能性成本与利润之和不为固定常数。数值计算表明:该方法不可取。

Based on centroid eigenvalue of possibility distribution function, this paper presents a profit model for determining the order quantity of newsboy problem with discrete fuzzy demand. It analyses the relation between cost and profit models. The result shows： 1） the order quantities from possibility cost and profit models based on the centroid of possibility distribution function are not equal with each other; 2） with various order quantities, the sum of fuzzy possibility cost and profit is not constant. The numerical example shows that the centroid method is not appropriate.