One channel system with an unreliable server and different service time intervals / A. V. Tkachenko. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2013. № 2. P. 12-17 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].
An M | GI | 1 | ∞ queueing system is considered with an unreliable server and customer service times dependent on the system state. The ergodicity condition and generating function are found in the stationary mode.
Key words: one channel queueing system, ergodicity, Laplace transformation, generating function.