Analysis of Inventory Model with Time Dependent Quadratic Demand Function Including Time Variable Deterioration Rate without Shortage
Md. Atiqur Rahman *
Department of Mathematics, Comilla University, Cumilla-3506, Bangladesh.
Mohammed Forhad Uddin
Department of Mathematics, Bangladesh University of Engineering and Technology (BUET), Dhaka-1000, Bangladesh.
*Author to whom correspondence should be addressed.
Abstract
This paper deals with an inventory model for deteriorating items along with time dependent demand which is quadratic function of time. In this model, the deterioration rate follows deterministic deterioration which is quadratic function of time. Here shortages are not allowed. The main purpose of this paper is to investigate minimum total cost per unit time of the inventory model. The result are validated with the help of numerical example. The sensitivity analysis of the optimal solution with respect to various parameters is carried out. Finally the behavior of the relation between parameters and total inventory cost have been shown using figure.
Keywords: Inventory, deterministic inventory model, deterioration items, sensitivity analysis.