考虑模糊转移时间且允许缺货的缺陷生产模型

Imperfect Production Model with Fuzzy Elapsed Time and Backorder

考虑到生产设备的不可靠,研究了含模糊生产故障时间且允许缺货的EPQ模型,建立了含缺货成本和模糊生产故障时间的费用模型,揭示了费用函数的性质。基于此,设计了最优生产策略的二分法求解过程。结合算例分析了重修费用和缺陷产品比例对最优生产策略的影响。结果表明:随着重修费用和缺陷率的增大,最优生产时间越短,最优成本越大。

Economic production quantity model with fuzzy deteriorating process and allowable shortage is investigated for the unreliability of production facility. The total cost per unit time function with shortage cost and fuzzy elapsed time out of control state is developed. Some properties of the cost function are revealed. Based on these properties, bisection method for the optimal production policy is designed. The effects of the rework cost and the imperfect rate on the optimal production policy is illustrated with numerical example. Results show that when repair cost and the defective rate increases, the total unit time cost increase while optimal production run length decreases.