An algorithmic approach for analysis of finite-source retrial systems with unreliable servers

DOI10.1016/j.camwa.2011.03.109zbMath1231.90149OpenAlexW1967236365MaRDI QIDQ660916

Claude Dutheillet, Nawel Gharbi

Publication date: 5 February 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.03.109

zbMATH Keywords

generalized stochastic Petri netsinfinitesimal generatorbreakdown disciplinesfinite-source retrial systemsmultiple serversperformance and reliability measures

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.) (68Q85)

Related Items (15)

ASYMPTOTIC WAITING TIME ANALYSIS OF A FINITE-SOURCE M/M/1 RETRIAL QUEUEING SYSTEM ⋮ Asymptotic analysis of finite-source \(M/GI/1\) retrial queueing systems with collisions and server subject to breakdowns and repairs ⋮ Optimization analysis of an unreliable multi-server queue with a controllable repair policy ⋮ Asymptotic sojourn time analysis of finite-source M/M/\(1\) retrial queueing system with collisions and server subject to breakdowns and repairs ⋮ Analysis of M/m/c Retrial Queue with Thresholds, Ph Distribution of Retrial Times and Unreliable Servers ⋮ On retrial queue with customer balking and feedback subject to server breakdowns ⋮ The effect of operation time of the server on the performance of finite-source retrial queues with two-way communications to the orbit ⋮ A Survey of Recent Results in Finite-Source Retrial Queues with Collisions ⋮ Waiting time asymptotic analysis of a \(M/M/1\) retrial queueing system under two types of limiting condition ⋮ The two-dimensional output process of retrial queue with two-way communication ⋮ A NEW FINITE-SOURCE QUEUEING MODEL FOR MOBILE CELLULAR NETWORKS APPLYING SPECTRUM RENTING ⋮ Asymptotic analysis of finite-source M/M/1 retrial queueing system with collisions and server subject to breakdowns and repairs ⋮ On an unreliable-server retrial queue with customer feedback and impatience ⋮ Numerical analysis of retrial queueing systems with conflict of customers and an unreliable server ⋮ The multi-server retrial system with Bernoulli feedback and starting failures

Uses Software

• lcpSim
• MOSEL

Cites Work

• Accessible bibliography on retrial queues: progress in 2000-2009
• Standard and retrial queueing systems: A comparative analysis
• Homogeneous finite-source retrial queues with server subject to breakdowns and repairs
• A survey of retrial queues
• A survey on retrial queues
• On the single server retrial queue subject to breakdowns
• Heterogeneous finite-source retrial queues with server subject to breakdowns and repairs
• GSPN analysis of retrial systems with servers breakdowns and repairs
• Retrial Queueing Systems
• A Proof for the Queuing Formula: L = λW
• Retrial Queues
• Reliability analysis of the retrial queue with server breakdowns and repairs
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