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

Subject Areas : International Journal of Mathematical Modelling & Computations

Sanjay Singh ¹ , Seema Sharma ² , Shiv Pundir ³

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.

Received: 2018-04-22 Accepted : 2019-02-23 Published : 2018-04-01

Keywords: inflation, Two-warehouse, deterioration, partial backlogging,

Abstract :

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.