Stochastic Inequalities for Single-Server Loss Queueing Systems

DOI10.1080/07362990600958994zbMath1113.60091arXivmath/0505068OpenAlexW2145594446MaRDI QIDQ3423713

Vyacheslav M. Abramov

Publication date: 15 February 2007

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505068

zbMATH Keywords

stochastic inequalitiessingle-server queueing systemloss probabilityprobability distribution classes

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (3)

Consecutive customer losses in regular and oscillating \(M^{X}/ G /1/ n\) systems ⋮ Crossings states and sets of states in random walks ⋮ Continuity theorems for the \(M/M/1/n\) queueing system

Cites Work

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• Inequalities for the GI/M/1/n loss system
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• Losses per cycle in a single-server queue
• A note on losses in M/GI/1/n queues
• Some results for large closed queueing networks with and without bottleneck: Up- and down-crossings approach

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