Two-Warehouse Inventory Model for Deteriorating Items with Time-Dependent Demand and Partial Backlogging Under Inflation

Document Type : Full Length Article


1 Department of Mathematics, Raj Kumar Goel Institute of Technology, Ghaziabad, Uttat Pradesh, India.

2 Department of Mathematics and Statistics, GKV. University, Haridwar, Uttarakhand, India

3 Department of Mathematics, CCS University, Meerut, UP. India.


This paper deals with a two-warehouse inventory model for deteriorating items with time dependent demand and partial backlogging under inflation. It is assumed that deterioration of items follows two-parameter Weibull distribution and demand rate varies exponentially with time. Shortages are allowed and partial backlogging depends on waiting time of next replenishment. A numerical example is provided to illustrate the considered model. Further, sensitivity analysis has also been made to show the behavior of the present model.