Optimal Production Run Length for Deteriorating Production System in Fuzzy Random Environments

Taking into account the unreliability of production process, we develop a model to determine the economic production run length for deteriorating production system in fuzzy random environments. Based on the credibility measure of fuzzy event, the economic production quantity (EPQ) model with fuzzy random elapsed time can be transformed into a crisp model when deriving the expected total cost per unit time. The optimal production run length minimizing the expected average cost is proved to exist and be unique. Bounds for the optimal production run length are provided. Furthermore, the bisection method searching for the optimal production run length is designed. The relevant applications of the model are outlined. Finally, a numerical example is given to confirm the proposed model.