Continuous-Review (s,S) Inventory Models with State-Dependent Leadtimes

1973 ◽  
Vol 19 (5) ◽  
pp. 567-574 ◽  
Author(s):  
Donald Gross ◽  
Carl M. Harris
Keyword(s):  
Inventory Models ◽  
Continuous Review ◽  
State Dependent

Multi-Location Inventory Model Considering Bidirectional and Unidirectional Transshipments Simultaneously

2013 ◽  
Vol 694-697 ◽  
pp. 2742-2745
Author(s):  
Jin Hong Zhong ◽  
Yun Zhou
Keyword(s):  
Process Model ◽  
Approximate Calculation ◽  
Inventory Model ◽  
Inventory System ◽  
Death Process ◽  
Birth And Death Process ◽  
Inventory Models ◽  
Continuous Review ◽  
Poisson Demand ◽  
Queue Theory

Abstract. A cross-regional multi-site inventory system with independent Poisson demand and continuous review (S-1,S) policy, in which there is bidirectional transshipment between the locations at the same area, and unidirectional transshipment between the locations at the different area. According to the M/G/S/S queue theory, birth and death process model and approximate calculation policy, we established inventory models respectively for the loss sales case and backorder case, and designed corresponding procedures to solve them. Finally, we verify the effectiveness of proposed models and methods by means of a lot of contrast experiments.

Stochastic inventory models with bulk demand and state-dependent leadtimes

1971 ◽  
Vol 8 (3) ◽  
pp. 521-534 ◽  
Author(s):  
Donald Gross ◽  
Carl M. Harris ◽  
James A. Lechner
Keyword(s):  
Single Server ◽  
Single Server Queue ◽  
Inventory Models ◽  
Inventory Cost ◽  
Stochastic Inventory ◽  
State Dependent ◽  
Optimal Value ◽  
Server Queue ◽  
Time Required ◽  
Stochastic Inventory Models

This paper describes two one-for-one ordering (S − 1, S) inventory models in which the time required for order replenishment is state-dependent. The demand is assumed to follow a compound Poisson distribution, and that portion of the leadtime corresponding to the actual filling of orders is assumed to depend on the number of outstanding orders. Since the orders placed are assumed to go into a single-server queue, queuing results are used to obtain the expected inventory cost as a function of S in order to obtain an optimal value of S.

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