Evaluation of base-stock policies in multiechelon inventory systems with compound-poisson demands

1991 ◽  
Vol 38 (3) ◽  
pp. 397-412 ◽  
Author(s):  
Paul Zipkin
Keyword(s):  
Inventory Systems ◽  
Base Stock ◽  
Compound Poisson ◽  
Base Stock Policies ◽  
Poisson Demands

Production-Inventory Systems with Lost Sales and Compound Poisson Demands

2014 ◽  
Vol 62 (5) ◽  
pp. 1048-1063 ◽  
Author(s):  
Jim (Junmin) Shi ◽  
Michael N. Katehakis ◽  
Benjamin Melamed ◽  
Yusen Xia
Keyword(s):  
Inventory Systems ◽  
Lost Sales ◽  
Compound Poisson ◽  
Production Inventory ◽  
Poisson Demands

Optimal Control Policies for Stochastic Inventory Systems with Endogenous Supply

1993 ◽  
Vol 7 (2) ◽  
pp. 257-272 ◽  
Author(s):  
A. Federgruen ◽  
Y.-S. Zheng
Keyword(s):  
Optimal Control ◽  
Efficient Algorithm ◽  
Critical Level ◽  
Inventory Systems ◽  
Inventory Level ◽  
Single Server ◽  
Compound Poisson ◽  
Stochastic Inventory ◽  
General Distributions ◽  
Poisson Demands

We consider an inventory system with compound Poisson demands replenished by discrete production of units on a single-server facility. This facility may start a vacation at any production completion epoch; at the completion of a vacation the inventory level is inspected to decide whether or not to resume production. Unit production and vacation times are independent and identically distributed with general distributions. Under an (s, S) policy, production is terminated when the inventory level reaches a critical level S, and production is resumed when the inventory level, upon completion of a vacation, is at or below a prespecified value s. In this paper we prove that an (s, S) policy is optimal among all possible policies. We also derive a highly efficient algorithm for the determination and evaluation of an optimal (s, S) policy.

scholarly journals Solution procedures for lost sales base-stock inventory systems with compound Poisson demand

2019 ◽  
Vol 209 ◽  
pp. 172-182 ◽  
Author(s):  
Chaaben Kouki ◽  
M. Zied Babai ◽  
Zied Jemai ◽  
Stefan Minner
Keyword(s):  
Inventory Systems ◽  
Base Stock ◽  
Lost Sales ◽  
Compound Poisson ◽  
Poisson Demand
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