An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging

2006 ◽  
Vol 101 (2) ◽  
pp. 369-384 ◽  
Author(s):  
Kun-Shan Wu ◽  
Liang-Yuh Ouyang ◽  
Chih-Te Yang
Keyword(s):  
Deteriorating Items ◽  
Partial Backlogging ◽  
Stock Dependent Demand ◽  
Replenishment Policy ◽  
Dependent Demand

On an optimal replenishment policy for inventory models for non-instantaneous deteriorating items with stock dependent demand and partial backlogging

2020 ◽  
Vol 54 (1) ◽  
pp. 69-79
Author(s):  
Bashair Ahmad ◽  
Lakdere Benkherouf
Keyword(s):  
Optimal Policy ◽  
Deteriorating Items ◽  
Partial Backlogging ◽  
Simple Test ◽  
Inventory Models ◽  
Basic Model ◽  
Stock Dependent Demand ◽  
Replenishment Policy ◽  
Unique Critical Point ◽  
Dependent Demand

This paper proposes a procedure for determining the optimal replenishment policy for the simple inventory model with stock-dependent demand items, non-instantaneous deteriorating items and partial backlogging. The optimal policy is shown to be of a threshold form. That is, (i) if the time of the onset of deterioration is greater than or equal to the time at which partial-backlogging begins in the basic model (with no deterioration), then the optimal policy is determined by the parameters of the basic model, else (ii) The optimal policy corresponds to the unique critical point of the objective function for the model with non-instantaneous deterioration. Moreover, a simple test for deciding in favor of the former model is given. The procedure obtained is simpler and easier to implement than those existing in the literature. Numerical examples are presented for illustration.

Price discount facility in an EOQ model for deteriorating items with stock-dependent demand and partial backlogging

2019 ◽  
Vol 26 (4) ◽  
pp. 1365-1395 ◽  
Author(s):  
Ali Akbar Shaikh ◽  
Md. Al-Amin Khan ◽  
Gobinda Chandra Panda ◽  
Ioannis Konstantaras
Keyword(s):  
Deteriorating Items ◽  
Partial Backlogging ◽  
Price Discount ◽  
Eoq Model ◽  
Stock Dependent Demand ◽  
Dependent Demand

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

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