Stability of Multiserver-job Models with Arbitrary Service Times under Existence of Blocking Requests
G.A. Afanasyev
2026, v.32, Issue 3, 381-394
ABSTRACT
An ergodicity criterion is established for multichannel systems where each customer requires a random number of servers for processing. We consider systems in which there is a non-zero probability that an arriving customer requires all available servers. The service time distribution is assumed to be arbitrary, while the arrival process is regenerative. A statistical estimation procedure for the system load parameter is proposed.
doi:10.61102/1024-2953-mprf.2026.32.3.005
Keywords: Multiserver queue, multiserver-job models, stability, regenerative processes, saturated system
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