ANALYSIS OF MULTI-RESOURCE LOSS SYSTEM WITH STATE-DEPENDENT ARRIVAL AND SERVICE RATES

DOI10.1017/S0269964817000079zbMath1400.60115MaRDI QIDQ4961782

Valeriĭ A. Naumov, Konstantin E. Samouylov

Publication date: 25 October 2018

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

zbMATH Keywords

state-dependent arrivalsnegative customersmultiple resourcesstate-dependent servicemulti-class loss system

Mathematics Subject Classification ID

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

Related Items (8)

Using infinite-server resource queue with splitting of requests for modeling two-channel data transmission ⋮ PRODUCT-FORM MARKOVIAN QUEUEING SYSTEMS WITH MULTIPLE RESOURCES ⋮ Multiclass GI/GI/$$\infty $$ Queueing Systems with Random Resource Requirements ⋮ Analysis of the queuing systems with processor sharing service discipline and random serving rate coefficients ⋮ Analysis of loss systems with overlapping resource requirements ⋮ Analysis of networks of the resource queuing systems ⋮ Resource Queueing System with the Requirements Copying at the Second Phase ⋮ Resource Queueing System with Dual Requests and Their Parallel Service

Cites Work

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• Generalized Erlang problem for service systems with finite total capacity
• Generalization of a problem of Erlang
• Product-form queueing networks with negative and positive customers
• G-networks with resets
• Analysis of queueing systems for random-length arrivals with limited cumulative volume

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