Inventory Policy for a Deteriorating Item with Time-Varying Demand Under Trade Credit and Inflation

2019 ◽  
Vol 7 (2) ◽  
pp. 115-133 ◽  
Author(s):  
Luqi Wang ◽  
Zhijian Chen ◽  
Mingyao Chen ◽  
Ruijie Zhang

Abstract It’s often the case that the supplier will provide the retailer with a permissible delay period in payments, during which the supplier charges the retailer no interest and the retailer accumulates interest earned from investment return. As a type of price reduction and an alternative to price discount, trade credit helps the supplier encourage the retailer’s ordering. This paper develops an inventory replenishment model for a deteriorating item with time-varying demand and shortages, taking account of trade credit and time value of money under inflation over a finite time horizon. This model is an extension and development of the existing studies related to the inventory system considering trade credit and time value of money and offers a more general model with more flexibility and resilience to handle the situation where demand of the end market is non-decreasing with regard to time.

2007 ◽  
Vol 17 (2) ◽  
pp. 195-207 ◽  
Author(s):  
T. Roy ◽  
K.S. Chaudhuri

A finite time-horizon deterministic inventory model is developed, taking the demand rate at any instant to be a function of the on-hand inventory (stock-level) at that instant. Shortages in inventory are allowed. The effects of inflation and time value of money are considered. Two separate inflation rates: namely, the internal (company) and the external (general economy) are introduced. A numerical example of the model is discussed. A sensitivity analysis of the optimal solution with respect to the parameters of the model is examined.


2011 ◽  
Vol 14 (01) ◽  
pp. 1-15 ◽  
Author(s):  
HANS FÖLLMER ◽  
IRINA PENNER

The classical valuation of an uncertain cash flow in discrete time consists in taking the expectation of the sum of the discounted future payoffs under a fixed probability measure, which is assumed to be known. Here we discuss the valuation problem in the context of Knightian uncertainty. Using results from the theory of convex risk measures, but without assuming the existence of a global reference measure, we derive a robust representation of concave valuations with an infinite time horizon, which specifies the interplay between model uncertainty and uncertainty about the time value of money.


2005 ◽  
Vol 15 (2) ◽  
pp. 209-220 ◽  
Author(s):  
S.K. Manna ◽  
K.S. Chaudhuri

This paper develops an infinite time-horizon deterministic economic order quantity (EOQ) inventory model with deterioration based on discounted cash flows (DCF) approach where demand rate is assumed to be non-linear over time. The effects of inflation and time-value of money are also taken into account under a trade-credit policy of type "?/T1 net T". The results are illustrated with a numerical example. Sensitivity analysis of the optimal solution with respect to the parameters of the system is carried out.


2007 ◽  
Vol 17 (2) ◽  
pp. 165-175
Author(s):  
S. Mandal ◽  
B.C. Giri ◽  
K.S. Chaudhuri

Single price discount in unit cost for bulk purchasing is quite common in reality as well as in inventory literature. However, in today's high-tech industries such as personal computers and mobile industries, continuous decrease in unit cost is a regular phenomenon. In the present paper, an attempt has been made to investigate the effects of continuous price decrease and time-value of money on optimal decisions for inventoried goods having time-dependent demand and production rates. The proposed models are developed over a finite time horizon considering both shortages and without shortages in inventory. Numerical examples are taken to illustrate the developed models and to examine the sensitivity of model parameters.


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