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基于可信性理论,本文给出了不允许缺货的经济生产量(EPQ)问题的期望值模型;研究了当单位生产准备费、单位储存费均为模糊变量且相互独立的情况下EPQ问题的最佳期望单位存储费用、最佳期望单位生产批量及最佳期望生产周期,并得出了一些重要的结论;特殊情况下,讨论了当模型中的模糊参数分别为三角模糊变量、梯形模糊变量及正态模糊变量情况下的EPQ问题的最优存储策略;最后,针对上述三种情况本文分别给出了一些数值例子验证了模型的有效性和合理性;本文所得到的结果为求解EPQ问题设计算法提供了理论依据.
Based on the theory of credibility, this paper gives the expected value model of the economic output (EPQ) problem that does not allow out-of-stock. In this paper, we study the EPQ problem when the unit production preparation cost and unit storage cost are both fuzzy variables and independent The best expected unit storage cost, the best expected unit production volume and the best expected production cycle, and draws some important conclusions; under special circumstances, discussed when the model fuzzy parameters are triangular fuzzy variables, trapezoidal fuzzy variables And the optimal storage strategy of EPQ under the condition of normal fuzzy variables.Finally, some numerical examples are given for the above three cases respectively to verify the validity and rationality of the model. The results obtained in this paper are for solving the EPQ problem Design algorithms provide the theoretical basis.