An Inventory Control Model for Deteriorating Items Under Demand Dependent Production with Time and Stock Dependent Demand

Abstract

In inventory control models where most of the studies are focused on demand, it is obvious that the profit can only be improved by handling the demand of the items according to the fluctuations and pattern of the market ups and downs. In most of the models, demand is taken as time-dependent, price-dependent, and stock-dependent for one complete cycle of the model, which is not realistic in the case of low- life products with a high rate of deterioration like milk products, vegetables. It is also not possible to fix the demand for such items for the entire cycle of the model. In the current study, we have assumed different demands at the different stage of the model which can help to improve the profit as well as to control the deterioration. We have assumed time-dependent demand from the initial to the end of the stock level, after that we have assumed demand as price dependent which is the key of the current study and a better approach for handling low-life items. For low-life items, production is also a very important key parameter as it can directly affect the profit. Therefore, in the current study, we have assumed production of items as demand dependent and deterioration is taken time-dependent, a shortage is allowed under partial backlogging. The model is validated by taking numerical data along with a real example based on the model.