Ergodic theorem for a queue with unreliable server

DOI10.1134/S0001434615050181zbMath1325.60146MaRDI QIDQ745624

S. Zh. Aibatov

Publication date: 14 October 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

random mediumergodicityMarkov chainlimit theoremsunreliable serversingle server queueregenerative flow

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Strong limit theorems (60F15) Continuous-time Markov processes on discrete state spaces (60J27) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a queue with interruptions and repeat or resumption of service
• Coupling method for asymptotic analysis of queues with regenerative input and unreliable server
• Multichannel Queueing Systems with Regenerative Input Flow
• Queues Subject to Service Interruption
• Limit Theorems for Semi-Markov Queues and Their Applications
• Queuing with Preemptive Priorities or with Breakdown

This page was built for publication: Ergodic theorem for a queue with unreliable server