TAILIEUCHUNG - A periodic review inventory model with stock dependent demand, permissible delay in payment and price discount on backorders

In this paper we study a periodic review inventory model with stock dependent demand. When stock on hand is zero, the inventory manager offers a price discount to customers who are willing to backorder their demand. Permissible delay in payments allowed to the inventory manager is also taken into account. Numerical examples are cited to illustrate the model. | Yugoslav Journal of Operations Research 24 (2014) Number 1, 99-110 DOI: A PERIODIC REVIEW INVENTORY MODEL WITH STOCK DEPENDENT DEMAND, PERMISSIBLE DELAY IN PAYMENT AND PRICE DISCOUNT ON BACKORDERS Manisha PAL Department of Statistics, University of Calcutta, India manishapal2@ Sujan CHANDRA Department of Statistics, Haldia Govt. College, India Received: Маy 2012 / Accepted: May 2013 Abstract: In this paper we study a periodic review inventory model with stock dependent demand. When stock on hand is zero, the inventory manager offers a price discount to customers who are willing to backorder their demand. Permissible delay in payments allowed to the inventory manager is also taken into account. Numerical examples are cited to illustrate the model. Keywords: Periodic review model; stock dependent demand; shortage; price discount on backorder; delay in payment. MSC: 90B05. 1. INTRODUCTION In traditional inventory models, it is generally assumed that the demand rate is independent of factors like stock availability, price of items, etc. However, in actual practice, it is observed that demand for certain items is greatly influenced by the stock level. For example, an increase in shelf space for an item is seen to induce more consumers to buy it owing to its visibility, popularity or variety. Conversely, low stocks of certain goods might raise the perception that they are not fresh. Levin et al. (1972) pointed out that large piles of consumer goods displayed in a supermarket attract the customer to buy more. Silver and Peterson (1985) noted that sales at the retail level tend to be proportional to the stock displayed. Baker and Urban (1988) established an EOQ model for a power-form inventory-level-dependent demand pattern. Padmanabhan and 100 M. Pal, S. Chandra / A Periodic Review Inventory Model Vrat (1990) developed a multi-item inventory model for deteriorating items with stockdependent demand under resource constraints. Datta .

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