Transient behaviour of a simple queue with discouraged arrivals

DOI10.1080/02331939308843888zbMath0815.60090OpenAlexW2025957865MaRDI QIDQ3835669

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Publication date: 30 June 1995

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939308843888

zbMATH Keywords

numerical computationssingle server Markovian queuestate dependent parametersinfinite waiting space model

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Markov and semi-Markov decision processes (90C40) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (1)

A matrix approach for the transient solution of an M/M/1/N queue with discouraged arrivals and reneging

Cites Work

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• Inversion of tridiagonal matrices
• A queuing model with variable arrival rates
• More transient results for generalised state-dependent Erlangian queues
• The transient state probabilities for a queueing model where potential customers are discouraged by queue length
• Generalized state-dependent Erlangian queues: Speculations about calculating measures of effectiveness
• On the transient state probabilities for a queueing model where potential customers are discouraged by queue length
• Spectral theory for the differential equations of simple birth and death processes

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