A two-warehouse inventory model for deteriorating items with linear demand under conditionally permissible delay in payment

2014 ◽  
Vol 9 (2) ◽  
pp. 104-113 ◽  
Author(s):  
Trailokyanath Singh ◽  
Hadibandhu Pattnayak
Keyword(s):  
Inventory Model ◽  
Deteriorating Items ◽  
Permissible Delay In Payment ◽  
Linear Demand

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

scholarly journals Two warehouse inventory model for deteriorating item with exponential demand rate and permissible delay in payment

2017 ◽  
Vol 27 (1) ◽  
pp. 109-124 ◽  
Author(s):  
Naresh Kaliraman ◽  
Ritu Raj ◽  
Shalini Chandra ◽  
Harish Chaudhary
Keyword(s):  
Sensitivity Analysis ◽  
Inventory Model ◽  
Deteriorating Items ◽  
The Other ◽  
Inventory Cost ◽  
Numerical Illustration ◽  
Deterioration Rate ◽  
Permissible Delay In Payment ◽  
Demand Rate

A two warehouse inventory model for deteriorating items is considered with exponential demand rate and permissible delay in payment. Shortage is not allowed and deterioration rate is constant. In the model, one warehouse is rented and the other is owned. The rented warehouse is provided with better facility for the stock than the owned warehouse, but is charged more. The objective of this model is to find the best replenishment policies for minimizing the total appropriate inventory cost. A numerical illustration and sensitivity analysis is provided.

A Fuzzy Inventory Model for Weibull Deteriorating Items with Price-Dependent Demand and Shortages under Permissible Delay in Payment

2012 ◽  
Vol 1 (2) ◽  
pp. 53-79
Author(s):  
Chandra K. Jaggi ◽  
Sarla Pareek ◽  
Anuj Sharma ◽  
Nidhi
Keyword(s):  
Cycle Length ◽  
Optimal Solution ◽  
Inventory Model ◽  
Deteriorating Items ◽  
Selling Price ◽  
Profit Function ◽  
Permissible Delay In Payment ◽  
Fuzzy Inventory ◽  
Dependent Demand ◽  
Fuzzy Inventory Model

In this paper, a fuzzy inventory model is formulated for deteriorating items with price dependent demand under the consideration of permissible delay in payment. A two parameter Weibull distribution is taken to represent the time to deterioration. Shortages are allowed and completely backlogged. For Fuzzification of the model, the demand rate, holding cost, unit purchase cost, deterioration rate, ordering cost, shortage cost, interest earn and interest paid are assumed to be triangular fuzzy numbers. As a result, the profit function will be derived in fuzzy sense in order to obtain the optimal stock-in period, cycle length and the selling price. The graded mean integration method is used to defuzzify the profit function. Then, to test the validity of the model a numerical example is considered and solved. Finally, to study the effect of changes of different parameters on the optimal solution i.e. average profit, order quantity, stock-in period, cycle length and selling price, sensitivity analysis are performed.

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.

scholarly journals An Inventory Model for Deteriorating Items with Quantity Dependent Permissible Delay in Payment and Partial Backlogging of Shortage

2007 ◽  
Vol 59 (3-4) ◽  
pp. 239-252
Author(s):  
Manisha Pal ◽  
Sanjoy Kumar Ghosh
Keyword(s):  
Waiting Time ◽  
Fixed Time ◽  
Inventory Model ◽  
Deteriorating Items ◽  
Partial Backlogging ◽  
Single Item ◽  
Credit Period ◽  
Numerical Examples ◽  
Time Period ◽  
Permissible Delay In Payment

Abstract: In many inventory situations, instead of making immediate payment on receiving the consigument, the purchaser is allowed a certain fixed time period to pay for the goods bought. During this time the supplier charges no interest, but beyond this period interest is charged under the terms and condition agreed upon. As for the purchaser, he can earn interest on the revenue coolected during the credit period. This paper studies a single item inventory model for deteriorating items, when the permissible delay in payment depends on the ordered quantity and shortages are partially backlogged, assuming the backlogging rate to be inversely proportional to the waiting time for the next replenishment. An algorithm has been developed to find the optimal inventory policy. Numerical examples have been cited to illustrate the model. AMS (2000) Subject Classification: 90B05.

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