Fill rate of single-stage general periodic review inventory systems

A numerical study of expressions for fill rate for single stage inventory system with periodic review

The order and volume fill rates in inventory control systems

This paper differentiates between an order (line) fill rate and a volume fill rate and specifies their performance for different inventory control systems. When the focus is on filling complete customer orders rather than total demanded quantity the order fill rate would be the preferred service level measure. The main result shows how the order and volume fill rates are related in magnitude. E...

Optimal Control of Serial, Multi-Echelon Inventory/Production Systems with Periodic Batching

We consider a single-item, periodic-review, serial, multi-echelon inventory system, with linear inventory holding and penalty costs. In order to facilitate shipment consolidation and capacity planning, we assume the system has implemented periodic batching: each stage is allowed to order at given equidistant times. Further, for each stage except the most downstream one, the reorder interval is ...

A Multi-Item Spare Parts Inventory Model with Customer Differentiation

We consider a single warehouse where spare parts of multiple stock-keeping units are kept on stock to serve customers with (close-to-)identical machines. Customers are divided into multiple customer classes, and a target aggregate fill rate is set per class. In order to get differentiated service levels, critical level policies are assumed. We formulate a multi-item, single-stage spare parts in...

Determining the fill rate for a periodic review inventory policy with capacitated replenishments, lost sales and zero lead time

In this paper we consider a periodic review order-up-to inventory system with capacitated replenishments, lost sales and zero lead time. We consider discrete demand. It is shown that the initial stock levels of the different review periods form aMarkov chain andwe determine the transitionmatrix. Furthermore we study for what probabilitymass functions of the review period demand theMarkov chain ...