Stationary distribution of a discrete queueing model with aftereffect. (Russian) Zbl 0583.60094

Annaev, T.

Teor. Veroyatn. Mat. Stat. 30, 3-8 (1984).

Some extensions of the discrete-time G/G/1 queue with losses are considered. If the server is free it can be at one of several different states. The queueing system is described by a Markov chain formed by the spent interarrival time and the spent service time. The ergodicity conditions and stationary distribution of the chain are established.

Reviewer: J.Morozov

MSC:

60K25	Queueing theory (aspects of probability theory)
90B22	Queues and service in operations research

Keywords:

queueing system; ergodicity conditions; stationary distribution