针对Dutta等将模糊随机报童期望总利润视为三角模糊数这一假设条件,基于模糊数的运算法则重新探讨了Dutta等提出的模糊随机需求报童问题,运用梯级平均综合表示法确定了报童问题的最优订货量,并与Dutta等的求解方法进行了比较分析。结果表明:运用梯级平均综合表示法,无须视总利润为三角模糊数,直接从模糊数运算法则出发,同样可解决离散模糊随机报童问题,只是所得出的最优订货量有所不同。
With respect to Dutta's assumption which regarded total fuzzy random newsboy expectation profit as a triangular fuzzy number, the proposed newsboy problem with fuzzy random demand by Durra was re-examined based on fuzzy numbers algorithms. The graded mean intrgration representation was employed to determine the newsboy problem of optimal order quantity. We compared the method in this paper with Dutta's solving approach. Numerical example results showed as following. There was no need to consider the total profit as the triangular fuzzy number using the graded mean integration representation. Discrete fuzzy random newsboy problem could be solved starting from the fuzzy number algorithms directly. The only difference was the optimal order quantity.