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.

scholarly journals An Inventory Model for Deteriorating Items with Stock Dependent Demand and Partial Backlogging

2021 ◽  
Vol 9 (12) ◽  
pp. 296-302
Author(s):  
Vikas Kumar
Keyword(s):  
Waiting Time ◽  
Simple Algorithm ◽  
Inventory Model ◽  
Deteriorating Items ◽  
Partial Backlogging ◽  
Numerical Examples ◽  
Proposed Model ◽  
Stock Dependent Demand ◽  
Total Profit ◽  
Dependent Demand

Abstract: In this paper, we formulate a deteriorating inventory model with stock-dependent demand Moreover, it is assumed that the shortages are allowed and partially backlogged, depending on the length of the waiting time for the next replenishment. The objective is to find the optimal replenishment to maximizing the total profit per unit time. We then provide a simple algorithm to find the optimal replenishment schedule for the proposed model. Finally, we use some numerical examples to illustrate the model. Keywords- Inventory, Deteriorating items, Stock dependent demand, Partial backlogging

THE EFFECT OF CREDIT PERIOD ON THE OPTIMAL LOT SIZE FOR DETERIORATING ITEMS WITH TIME VARYING DEMAND AND DETERIORATION RATES

2005 ◽  
Vol 22 (02) ◽  
pp. 211-227 ◽  
Author(s):  
HORNG-JINH CHANG ◽  
CHUNG-YUAN DYE
Keyword(s):  
Inventory Model ◽  
Deteriorating Items ◽  
Simple Solution ◽  
Future Research ◽  
Time Varying ◽  
Lot Size ◽  
Credit Period ◽  
Numerical Examples ◽  
Varying Demand ◽  
Ordering Quantity

In this paper, we present an inventory model for deteriorating items with time varying demand and deterioration rates when the credit period depends on the retailer's ordering quantity. We also provide simple solution procedures for finding the optimal replenishment period and show in a rigorous way that the policy suggested is indeed optimal. Further, we use numerical examples to illustrate the model and conclude the paper with suggestions for possible future research.

scholarly journals An Inventory Model under Trapezoidal Type Demand, Weibull-Distributed Deterioration, and Partial Backlogging

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Lianxia Zhao
Keyword(s):  
Sensitivity Analysis ◽  
Waiting Time ◽  
Optimal Solution ◽  
Inventory Model ◽  
Partial Backlogging ◽  
Inventory Models ◽  
Numerical Examples ◽  
Replenishment Policy ◽  
Demand Rate ◽  
Theoretical Results

This paper studies an inventory model for Weibull-distributed deterioration items with trapezoidal type demand rate, in which shortages are allowed and partially backlogging depends on the waiting time for the next replenishment. The inventory models starting with no shortage is are to be discussed, and an optimal inventory replenishment policy of the model is proposed. Finally, numerical examples are provided to illustrate the theoretical results, and a sensitivity analysis of the major parameters with respect to the optimal solution is also carried out.

scholarly journals An inventory model for deteriorating items with exponential declining demand and partial backlogging

2005 ◽  
Vol 15 (2) ◽  
pp. 277-288 ◽  
Author(s):  
Liang-Yuh Ouyang ◽  
Kun-Shan Wu ◽  
Mei-Chuan Cheng
Keyword(s):  
Mathematical Model ◽  
Sensitivity Analysis ◽  
Cost Function ◽  
Waiting Time ◽  
Optimal Solution ◽  
Inventory Model ◽  
Deteriorating Items ◽  
Partial Backlogging ◽  
Numerical Example ◽  
Declining Demand

This study proposes an EOQ inventory mathematical model for deteriorating items with exponentially decreasing demand. In the model, the shortages are allowed and partially backordered. The backlogging rate is variable and dependent on the waiting time for the next replenishment. Further, we show that the minimized objective cost function is jointly convex and derive the optimal solution. A numerical example is presented to illustrate the model and the sensitivity analysis is also studied.

Optimal Ordering for Deteriorating Items of Fixed-Life with Quadratic Demand and Two-Level Trade Credit

2016 ◽  
pp. 1-16 ◽  
Author(s):  
Nita H. Shah ◽  
Mrudul Yogeshkumar Jani
Keyword(s):  
Sensitivity Analysis ◽  
Decision Maker ◽  
Trade Credit ◽  
Life Time ◽  
Deteriorating Items ◽  
Total Cost ◽  
Credit Period ◽  
Numerical Examples ◽  
Optimal Ordering ◽  
Purchase Quantity

This chapter studies the retailer's ordering policies when items in the stocking system has fixed life time and subject to deteriorate with time. The demand is considered to be quadratically decreasing. The supplier offers credit period to the retailer which in turn is partially passed on to customer. The retailer is the decision maker and the objective is to minimize the total cost of the system by ordering optimum purchase quantity. Numerical examples are given to find the best possible scenario for the retailer. Sensitivity analysis is carried out to derive player's insights.

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