Exact evaluation of (R,Q)-policies for two-level inventory systems with Poisson demand

Article Abstract:

The exact evaluation of holding and storage costs for a two-level inventory system with one warehouse and an unknown number of retailers is shown. The exact solution to the problem involves constant lead times and different Poisson demand processes for retailers. Backorders are made for unfilled demands and retailer shortage costs are linear functions of the time until delivery. A first-come-first-served principle is used for the delivery of orders that cannot immediately be delivered from the warehouse. The exact costs for different policies are determined, with the cost expressions to be used to determine an optimal ordering policy.

Inventory Control, Research, Analysis, Management, Factory orders

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Evaluation of (R,Q)-policies for two-level inventory systems with generally distributed customer inter-arrival times

Article Abstract:

A two-level inventory system involving a central warehouse and a number retailers was analyzed in a Poisson model based on evaluations of the Erlang distribution. Analysis of the model for multi-level inventory systems led to the development of an alternative approximation method that was based on the Poisson approach. The method also expresses the Erlang costs as a weighted mean cost with Poisson one-for-one ordering policies.

Operations Research, Production Planning & Control, Production management, Production control

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Optimization of order-up-to-S policies for two-level inventory systems with compound Poisson demand

Article Abstract:

A two-level inventory system which is comprised of a single warehouse with N number of retailers is analyzed. In the problem, leadtimes are constant and the retailers are confronted with different compound Poisson demand processes. All the facilities use order-up-to-S replenishment policies. An effective and accurate technique for evaluating holding and shortage costs is presented and discussed.

Usage, Poisson distribution

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