Optimal Imperfect Production Inventory Model under Joint Effect of Machine Breakdowns and

This paper investigates the role of reliability parameter of the imperfect production system with random machine breakdown and stochastic repair time. Here I assume that shifting time of the production system from ‘in-control state’ to ‘out-control state’ and the time of machine breakdown are both random. Moreover, the machine repair time is stochastic and independent of the machine break-down rate. To make the research a more realistic one, a relation between reliability parameter and machine breakdown parameter has been established so, that smaller value of reliability parameter indicates long run of production process, lesser imperfect items and negligible number of machine breakdown. Finally, the model is formulated as a profit maximization problem by considering the reliability parameter and production up time as a decision variables. A numerical example is presented to illustrate the impact of profit with different variables in the model. Also, sensitivity analyses are conducted to show how the model reacts to changes in parameters.