Ergodicity of a Multichannel Queueing System with Balking
Тимофей Николаевич Белорусов
Abstract
Тимофей Николаевич Белорусов
Abstract
In this paper we establish an ergodicity condition for a $G|G|r$ queueing system with balking. The input is considered to be regenerative. The proof is based on constructing a majorizing system in which probabilities of joining the system take two values.
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In this paper we establish an ergodicity condition for a $G|G|r$ queueing system with balking. The input is considered to be regenerative. The proof is based on constructing a majorizing system in which probabilities of joining the system take two values.
Key concepts: Ergodicity, Queueing system, Mathematics, Queueing theory, Applied mathematics, Statistics