Technical Note—Waiting Time in a Continuous Review (s, S) Inventory System with Constant Lead Times

Wilfried Kruse

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Supply Chain and Inventory Management Reliability and Maintenance Optimization Advanced Queuing Theory Analysis

Abstract

The waiting time distribution in an (s, S) continuous review inventory system with constant lead times is derived in this paper. The demand times are assumed to constitute a renewal process, and demand sizes are independent identically distributed (i.i.d.) integer valued random variables. Some relationships are given between waiting time and some common inventory measures.

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1992Waiting time distribution in (T, S) inventory systems 2009Approximation of the probability distribution of the customer waiting time under an (r, s, q) inventory policy in discrete time 2018Optimal allocation of spares to maximize the window fill rate in a two-echelon exchangeable-item repair system 2005The customer waiting time in an (R,s,Q) inventory system 1985Inventory control using a service constraint on the expected customer order waiting time 2022Two-echelon inventory location model with response time requirement and lateral transshipment 2005Production and allocation policies in a two-class inventory system with time and quantity dependent waiting costs

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