A production model for deteriorating items with stochastic preventive maintenance time and rework process with FIFO rule

Due to unreliable production facility and stochastic preventive maintenance, deriving an optimal
production inventory decision in practice is very complicated. In this paper, we develop a production
model for deteriorating items with stochastic preventive maintenance time and rework using the first
in first out (FIFO) rule. From our literature search, no study has been done on the above problem. The
problem is solved using a simple search procedure; this makes it more practical for use by industries.
Two case examples using uniform and exponential distribution preventive maintenance time are
applied. Examples and sensitivity analysis are conducted for each case. The results show that rework
and preventive maintenance time have significant affected the total cost and the optimal production
time. This provides helpful managerial insights to help management in making smart decisions.