A periodic review inventory system under stochastic demand with controllable safety stock, lead time, and price discount under partially backlogged shortages

2020 ◽  
Vol 11 (4) ◽  
pp. 328
Author(s):  
Nughthoh Arfawi Kurdhi ◽  
Rumi Iqbal Doewes ◽  
N.A. Yuliana
Keyword(s):  
Lead Time ◽  
Stochastic Demand ◽  
Inventory System ◽  
Periodic Review ◽  
Price Discount ◽  
Safety Stock ◽  
Periodic Review Inventory System ◽  
Periodic Review Inventory

ERROR ANALYSIS OF AN APPROXIMATE OPTIMAL POLICY FOR AN INVENTORY SYSTEM WITH STOCHASTIC AND CONTINUOUS DEMANDS

2012 ◽  
Vol 29 (06) ◽  
pp. 1250039
Author(s):  
WEI GENG ◽  
JIANYONG LIU ◽  
XIAOBO ZHAO
Keyword(s):  
Optimal Policy ◽  
Computational Grid ◽  
Inventory System ◽  
Periodic Review ◽  
Setup Costs ◽  
Base Stock Policy ◽  
Periodic Review Inventory System ◽  
Stock Policy ◽  
Computational Intractability ◽  
Periodic Review Inventory

For a periodic-review inventory system with stochastic and continuous demands and without setup costs, it is known that there exists a base-stock policy to be optimal. For a finite-horizon system with non-stationary parameters, it is essential to find approximate optimal policies because of the computational intractability of finding the optimal policy. This paper provides an approach, by which an analytical bound of the error between the costs of the approximate optimal policy and the optimal policy is given. It is shown that the approximate optimal policy converges to the optimal policy as the size of the computational grid decreases. Numerical results are presented to illustrate the methodology.

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