Manufacturing process with disruption under Quadratic Demand for Deteriorating Inventory

Each and every supply chain or logistics structure is subject to disruption. This disruption may be due to uncertainty or unintended events like instrument break down, unavailability of raw materials, some crisis, natural calamities or strikes. This article first establishes the production time when there is no disruption and afterwards when system gets disrupted. After disruption in the production, we investigate whether it has been resulted in any amount of shortages or not. To maintain the goodwill of the company, an additional replenishment is suggested if there are any shortages. For disrupted production system, disruption time is calculated. Also in the case of shortages, when to replenish and how much to replenish that is also shown in the article. Moreover, quadratic demand for products is analyzed in the present article. This type of demand initially increases with time up to some extent and then it starts to decrease. In addition, the units in the inventory system are subject to deterioration at a constant rate. Numerical example and related graphical studies are given to validate the results. Effects of variations in inventory parameters on production time are shown for manufacturers to take advantageous decisions.