Random machine breakdown and stochastic corrective maintenance period on an economic production inventory model with buffer machine and safe period

In this paper, we have developed an economic production quantity (EPQ) model in which is executed mainly by the original machine. But when system faces disruption, buffer of it continues production. Here, incorporate a fixed Safe Period running policy, machine runs interruptedly, whenever commences. The disruption may occur at any moment time horizon over safe period, and then, will go under corrective maintenance policy. take that both period are continuous random variables. We discussed different duration with corresponding situations. Our main objective to minimize expected average total cost for all cases concerning lot size. has also been illustrated numerically some examples. To examine robustness solution model, discuss sensitivity analysis parameters.