Another approach to asymptotic expansions for large closed queueing networks

DOI10.1016/0167-6377(92)90009-RzbMath0759.60092MaRDI QIDQ1196219

Yaakov Kogan

Publication date: 17 December 1992

Published in: Operations Research Letters (Search for Journal in Brave)

zbMATH Keywords

infinite server queuesaddle point methodAsymptotic expansionsclosed Jackson network

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (10)

Exact-Order Asymptotic Analysis for Closed Queueing Networks ⋮ Scaling regimes of growth networks ⋮ A Probabilistic Approach to Growth Networks ⋮ Error bounds for asymptotic approximations of the partition function ⋮ Asymptotic analysis for closed multichain queueing networks with bottlenecks ⋮ Condensation in large closed Jackson networks ⋮ Large closed queueing networks in semi-Markov environment and their application ⋮ Limit non-stationary behavior of large closed queueing networks with bottlenecks ⋮ Asymptotic analysis of product-form distributions related to large interconnection networks ⋮ Two-choice regulation in heterogeneous closed networks

Cites Work

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• Asymptotic expansion for large closed queuing networks
• A Class of Closed Markovian Queuing Networks: Integral Representations, Asymptotic Expansions, and Generalizations*
• Asymptotic evaluation of closed queueing networks with many stations

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