Asymptotic analysis for closed multichain queueing networks with bottlenecks

DOI10.1007/BF01206559zbMath0879.60086MaRDI QIDQ1362314

O. Diekmann

Publication date: 20 November 1997

Published in: Queueing Systems (Search for Journal in Brave)

zbMATH Keywords

explicit asymptotic expressions for the partition functionsaddle-point contoursingle server stations

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (1)

Existence and uniqueness of nonnegative solution of \(M/G^B/1\) queueing model

Cites Work

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• Several complex variables I. Introduction to complex analysis. Transl. from the Russian by P. M. Gauthier
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• A Class of Closed Markovian Queuing Networks: Integral Representations, Asymptotic Expansions, and Generalizations*
• Integral Representations and Asymptotic Expansions for Closed Markovian Queueing Networks: Normal Usage
• Asymptotic evaluation of closed queueing networks with many stations
• Open, Closed, and Mixed Networks of Queues with Different Classes of Customers
• The Evaluation of Normalizing Constants in Closed Queueing Networks

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