A distributional form of Little's law
Let N be the ergodic number of customers in a queueing system with Poisson arrival rate \(\lambda\) and T be the ergodic time spent by a customer in the system. The classical Little's law asserts that \(E[N]=\lambda E[T]\). By distributional form of the law one means that N is Poisson distributed with parameter \(\lambda\) T. Several aspects of this law are discussed.
queueing system with Poisson arrival rate
scientific article; zbMATH DE number 4082682
scientific article