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

¹ Department of Mathematics, The University of Burdwan, Burdwan 713104, India
² Department of Mathematics, Chandernagore College, Chandernagore 712136, India

^* Corresponding author: subhankar_adhikari@yahoo.com

Received: 7 December 2019
Accepted: 23 June 2020

Abstract

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