Your Cart

Your cart is empty

Home  >  Volume 47 (July 2018)

10. AN INVENTORY MODEL FOR NON-INSTANTANOUS DETERIORATING ITEM WITH TWO PHASE DEMAND RATE AND PARTIAL BACKLOGGING by Y. Bello and Y. M Baraya Volume 47 (July, 2018 Issue), pp77 – 86
Sale price: $5.00
Quantity:

AN INVENTORY MODEL FOR NON-INSTANTANOUS DETERIORATING ITEM WITH TWO PHASE DEMAND RATE AND PARTIAL BACKLOGGING

Y. Bello and Y. M Baraya

Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria

Abstract

This paper investigates an inventory model for non-instantaneous deteriorating items with two phase demand rate and partial backlogging. In real market situation, some items start to deteriorate as soon as they are placed on the shelf while others do not.It is often seen that the demand rate of newly lunched items such as electronic goods, mobile phone, computer and fashionable garments increases with time. The demand rate for such items is constant for some period of time and after that, when the items become popular in the market, the demand for the items increases due to the popularity of the items. Shortages are allowed and partially backlogged with constant rate for there could be situations, in which an economic advantage may be gained by allowing for shortages to occur. The objective of the model is to find the optimal cycle length and order quantity that minimizes the total average cost. Newton-Raphson method has been used to find the optimal cycle length and order quantity that minimizes the total average cost. The result is illustrated with numerical example. A sensitivity analysis of the optimal solution with respect to the parameters of the model is examined. 

Keywords: Two–phase demand rate, non-instantaneous deterioration, partial backlogging.

click here to download abstract

Close
Loading...