A note on the departure process in an (S− 1, S) inventory system

Abstract

Steady-state distribution functions are derived for interdeparture time (of filled requests) in an (S−1,S) inventory system in which (demand) arrival process is Poisson, replenishment times are independently and identically distributed negative exponential variates, and service is on a first-come-first-served basis. The departure process proves to be identical to the arrival process. Some implications of this property in the study of queueing networks with (S − 1,S) inventory stations are discussed.