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

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 Inventory model of deteriorating items with two-warehouse and stock dependent demand using genetic algorithm in fuzzy environment

2012 ◽  
Vol 22 (1) ◽  
pp. 51-78 ◽  
Author(s):  
Dharmendra Yadav ◽  
S.R. Singh ◽  
Rachna Kumari
Keyword(s):  
Genetic Algorithm ◽  
Inventory Model ◽  
Deteriorating Items ◽  
Market Place ◽  
Time Value Of Money ◽  
Fuzzy Environment ◽  
Purchase Cost ◽  
Stock Dependent Demand ◽  
Fuzzy Goal ◽  
Dependent Demand

Multi-item inventory model for deteriorating items with stock dependent demand under two-warehouse system is developed in fuzzy environment (purchase cost, investment amount and storehouse capacity are imprecise ) under inflation and time value of money. For display and storage, the retailers hire one warehouse of finite capacity at market place, treated as their own warehouse (OW), and another warehouse of imprecise capacity which may be required at some place distant from the market, treated as a rented warehouse (RW). Joint replenishment and simultaneous transfer of items from one warehouse to another is proposed using basic period (BP) policy. As some parameters are fuzzy in nature, objective (average profit) functions as well as some constraints are imprecise in nature, too. The model is formulated so to optimize the possibility/necessity measure of the fuzzy goal of the objective functions, and the constraints satisfy some pre-defined necessity. A genetic algorithm (GA) is used to solve the model, which is illustrated on a numerical example.

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