Applying Foster's criteria to a \(GI/PH/1\) queueing system

DOI10.1007/S10559-006-0081-8zbMath1132.60064OpenAlexW2059960459MaRDI QIDQ2371713

Lothar Breuer, Dieter Baum

Publication date: 5 July 2007

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-006-0081-8

zbMATH Keywords

Markov chainqueuing systemfoster's criterion

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (2)

The impact of transportation delays on repairshop capacity pooling and spare part inventories ⋮ The discrete-time \(MAP/PH/1\) queue with multiple working vacations

Cites Work

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• Matrix-geometric invariant measures for G/M/l type Markov chains
• Topics in the Constructive Theory of Countable Markov Chains
• Spectral analysis of M/G/1 and G/M/1 type Markov chains
• Some Conditions for Ergodicity and Recurrence of Markov Chains
• Drift Conditions for Matrix-Analytic Models
• On the Stochastic Matrices Associated with Certain Queuing Processes

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