Deteriorating Manufacturing System with Selling Price Discount under Random Machine Breakdown

This paper extends an imperfect production inventory model to machine breakdown at a random time and rework of defective items. Any manufacturing system wants to produce perfect quality items. But in long run production process, there may arise different types of difficulties like labor problem, rawmaterial problems, operator problems, etc., due to that the machinery systems shift from in-control state to out-of-control state as a result the manufacturing systems produce mixture of perfect and imperfect quality items. Some portion of imperfect items are reworked at a cost to become the perfect one. The development cost may be increased the in-control state and reduced the imperfect production. We want to maximize the expected total profit is illustrated by numerical examples and also its sensitivity analysis is carried out.