2012Theory of Probability and Its ApplicationsRequires access

Ergodicity of a Multichannel Queueing System with Balking

Тимофей Николаевич Белорусов

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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.

About this research paper

What this paper is about

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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OpenAlex reports 10 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Ergodicity, Queueing system, Mathematics, Queueing theory, Applied mathematics, Statistics

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