Approximation of the probability distribution of the customer waiting time under an (r,s,q) inventory policy in discrete time

Horst Tempelmeier (1) , Lars Fischer (2)

1 Dep. of Production Management
2 Dep. of Supply Chain Management and Production

We study a single-item periodic review (r,s,q) inventory policy. Customer demands arrive on a discrete (e.\,g.\ daily) time axis. The replenishment lead times are discrete random variables. This is the time model underlying the majority of the Advanced Planning Software systems used for supply chain management in industrial practice. We present an approximation of the probability distribution of the customer waiting time which is a customer-oriented performance criterion that captures supplier-customer-relationships of adjacent nodes in supply chains. The quality of the approximation is demonstrated with the help of a simulation experiment.

Mots clés: Physical Sciences

Horst Tempelmeier, Lars Fischer. Approximation of the probability distribution of the customer waiting time under an (r,s,q) inventory policy in discrete time. International Journal of Production Research, 2009, pp.1. ⟨10.1080/00207540903317531⟩. ⟨hal-00544825⟩