Two warehouse inventory model for deteriorating items with fixed shelf-life stock-dependent demand and partial backlogging

Abstract

In inventory management self life expiration date has  a unique role. In the practice there are many goods and services such as food, medication remain safe and suitable for human consumption until it exist their shelf life.  In this paper, we implemented a fixed shelf life of a deterministic inventory model for decaying items in two warehouses system with partial backlogging. The demand rate is considered stock dependent means that demand inclined by display of the stock level.  In two warehouse system we are considering one own warehouse and second warehouse is on rented basis. The preservation facility is good in rented warehouse than own warehouse. Due to various preserve conditions, deterioration rate in two warehouses may be differs. In addition, backlogging rate is time dependent which is inversely proportional to the waiting time for the next cycle. The model is also justified by the numerical examples under two cases and also sensitivity analysis is carried out with various parameters by using MATLAB R16b.