tailieunhanh - Deteriorating inventory model with controllable deterioration rate for time-dependent demand and time-varying holding cost

In this paper, we develop an inventory model for non-instantaneous deteriorating items under the consideration of the facts: deterioration rate can be controlled by using the preservation technology (PT) during deteriorating period, and holding cost and demand rate both are linear function of time, which was treated as constant in most of the deteriorating inventory models. | Yugoslav Journal of Operations Research 24 (2014) Number 1, 87-98 DOI: DETERIORATING INVENTORY MODEL WITH CONTROLLABLE DETERIORATION RATE FOR TIME-DEPENDENT DEMAND AND TIME-VARYING HOLDING COST VINOD KUMAR MISHRA Department of Computer Science & Engineering, B. T. Kumaon Institute of Technology, Dwarahat, Almora, - 263653, (Uttarakhand), INDIA vkmishra2005@ Received: Аugust 2012 / Accepted: April 2013 Abstract: In this paper, we develop an inventory model for non-instantaneous deteriorating items under the consideration of the facts: deterioration rate can be controlled by using the preservation technology (PT) during deteriorating period, and holding cost and demand rate both are linear function of time, which was treated as constant in most of the deteriorating inventory models. So in this paper, we developed a deterministic inventory model for non-instantaneous deteriorating items in which both demand rate and holding cost are a linear function of time, deterioration rate is constant, backlogging rate is variable and depend on the length of the next replenishment, shortages are allowed and partially backlogged. The model is solved analytically by minimizing the total cost of the inventory system. The model can be applied to optimizing the total inventory cost of non-instantaneous deteriorating items inventory for the business enterprises, where the preservation technology is used to control the deterioration rate, and demand & holding cost both are a linear function of time. Keywords: Inventory, non-instantaneous deteriorating items, controllable deterioration rate, preservation technology, time dependent holding cost. MSC: 90B05. 88 . Mishra / Deteriorating Inventory Model With Controllable 1. INTRODUCTION Inventory System is one of the main streams of the Operations Research which is essential in business enterprises and Industries. Interest in the subject is constantly increasing, and its development in recent years .