On the ergodic distribution of oscillating queueing systems

[摘要] This paper examines a new class of queueing systems and proves a theorem on the existence of the ergodic distribution of the number of customers in such a system. An ergodic distribution is computed explicitly for the special case of aG/M−M/1system, where the interarrival distribution does not change and both service distributions are exponential. A numerical example is also given.

[学科分类] 应用数学