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A queueing system with two operation modes and a disaster flow: its stationary state probability distribution. (English. Russian original) Zbl 1066.90518
Autom. Remote Control 63, No. 10, 1597-1608 (2002); translation from Avtom. Telemekh. 2002, No. 10, 73-86 (2002).
Summary: This paper is concerned with a controllable queueing in which the operation mode changes, depending on the current queue length, and an additional flow of diasters arrive. A disaster may completely empty the system, i.e., all customers, including the customer under service, may quit the system. Its stationary state probability distribution is determined, which is helpful in optimizing the threshold control of the operation of the system.

90B22 Queues and service in operations research
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