EFFECTS OF INFLATION AND TRADE CREDIT POLICY ON AN INVENTORY MODEL WITH DETERIORATING AND AMELIORATING ITEMS UNDER EXPONENTIALLY INCREASING DEMAND AND PARTIAL BACKLOGGING

2021 ◽  
Author(s):  
IASET iaset
Keyword(s):  
Trade Credit ◽  
Inventory Model ◽  
Partial Backlogging ◽  
Credit Policy ◽  
Increasing Demand

An inventory model of a three parameter Weibull distributed deteriorating item with variable demand dependent on price and frequency of advertisement under trade credit

2019 ◽  
Vol 53 (3) ◽  
pp. 903-916 ◽  
Author(s):  
Ali Akbar Shaikh ◽  
Leopoldo Eduardo Cárdenas–Barrón ◽  
Asoke Kumar Bhunia ◽  
Sunil Tiwari
Keyword(s):  
Trade Credit ◽  
Inventory Model ◽  
Selling Price ◽  
Credit Policy ◽  
Variable Demand ◽  
Reduced Gradient Method ◽  
Deterioration Rate ◽  
Rate Dependent ◽  
Reduced Gradient ◽  
Generalized Reduced Gradient

This paper develops an inventory model for a deteriorating item with variable demand dependent on the selling price and frequency of advertisement of the item under the financial trade credit policy. Shortages are allowed and these are partially backlogged with a variable rate dependent on the duration of waiting time until to the arrival of next order. In this inventory model, the deterioration rate follows a three-parameter Weibull distribution. The corresponding inventory model is formulated and solved by using the well-known generalized reduced gradient method along with an algorithm. To validate the inventory model, two numerical examples are considered and solved. Finally, based on one numerical example, the impacts of different parameters are studied by a sensitivity analysis considering one parameter at a time and leaving the other parameters fixed.

scholarly journals Study of Inventory Model for Deteriorating Items With Exponential Demand Function

2016 ◽  
Vol 34 ◽  
pp. 89-100
Author(s):  
Manik Mondal ◽  
Mohammed Forhad Uddin ◽  
Kazi Anowar Hussain
Keyword(s):  
Opportunity Cost ◽  
Demand Function ◽  
Trade Credit ◽  
Unit Cost ◽  
Inventory Model ◽  
Deteriorating Items ◽  
Bisection Method ◽  
Credit Policy ◽  
Deterioration Rate ◽  
Linear Demand

This paper develops an inventory model for deteriorating items consisting the ordering cost, unit cost, opportunity cost, deterioration cost and shortage cost. In this inventory model instead of linear demand function nonlinear exponential function of time for deteriorating items with deterioration rate has been considered. The formulated model has numerically solved by bisection method. The effects of inflation and cash flow are also taken into account under a trade-credit policy of discount with time. In order to validate the model, numerical examples have been solved by bisection method using Matlab. Further, the sensitivity of different parameters is considered in order to estimate the cash flow.GANIT J. Bangladesh Math. Soc.Vol. 34 (2014) 89-100

Credit Policies for Deteriorating Imperfect Quality Items With Exponentially Increasing Demand and Partial Backlogging

2018 ◽  
pp. 90-106 ◽  
Author(s):  
Chandra K. Jaggi ◽  
Prerna Gautam ◽  
Aditi Khanna
Keyword(s):  
Sensitivity Analysis ◽  
Numerical Analysis ◽  
Trade Credit ◽  
Partial Backlogging ◽  
Inverse Relation ◽  
Screening Process ◽  
Imperfect Quality ◽  
Inspection Process ◽  
Increasing Demand ◽  
Delay In Payments

In retail industries every ordered lot carry some fraction of imperfect quality items which can vary depending upon production and handling conditions. The situation is even more subtle when the items are prone to deterioration. However, an inspection process can spare us from such a criticality by bifurcating the defectives from the good quality lot. Thus, a screening process is mandatory. In the hyper-competitive market, trade-credit is well-known gimmick in order to boost the sales. Keeping in view, an inventory scenario of a retailer is investigated who has to deal with imperfect and “deteriorating items” under “permissible delay in payments”. The demand is assumed to be increasing exponentially. Shortages are permitted to occur and supposed to be “partially backlogged.” Rate of backlogging is assumed to have inverse relation with the waiting time for the subsequent replenishment. In this chapter, shortage point and length of cycle are jointly optimized. Numerical analysis and sensitivity analysis is performed to provide important insights for managerial persistence.

scholarly journals Estimation of inventory for deteriorating items with non-linear demand considering discount and without discount policy

2016 ◽  
Vol 13 (2) ◽  
pp. 151-164
Author(s):  
Manik Mondol ◽  
M. Forhad Uddin ◽  
M. S. Hossain
Keyword(s):  
Cash Flow ◽  
Opportunity Cost ◽  
Demand Function ◽  
Trade Credit ◽  
Unit Cost ◽  
Inventory Model ◽  
Deteriorating Items ◽  
Credit Policy ◽  
Deterioration Rate ◽  
Linear Demand

This paper develops an inventory model for deteriorating items consisting the ordering cost, unit cost, opportunity cost, deterioration cost and shortage cost. In this inventory model instead of linear demand function nonlinear exponential function of time for deteriorating items with deterioration rate has been considered. The effects of inflation and cash flow are also taken into account under a trade-credit policy of discount and without discount with time. In order to validate the model, numerical examples have been solved by bisection method deploying Matlab.  Further, in order to estimate the cash flow the sensitivity of different parameters is considered.

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