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On The Single Server Retrial Queue With Priority Customers

G. Falin, J. R. Artalejo, M. Martin
Published 1993 · Mathematics, Computer Science

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We consider anM2/G2/1 type queueing system which serves two types of calls. In the case of blocking the first type customers can be queued whereas the second type customers must leave the service area but return after some random period of time to try their luck again. This model is a natural generalization of the classicM2/G2/1 priority queue with the head-of-theline priority discipline and the classicM/G/1 retrial queue. We carry out an extensive analysis of the system, including existence of the stationary regime, embedded Markov chain, stochastic decomposition, limit theorems under high and low rates of retrials and heavy traffic analysis.
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Distributed Computer and Communication Networks: 22nd International Conference, DCCN 2019, Moscow, Russia, September 23–27, 2019, Revised Selected Papers
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A. Nazarov (2018)
The FCFS-RQ system by Laslo Lacatos and its modifications
I. Kovalenko (2018)
10.1016/j.peva.2018.10.004
Asymptotics of queue length distributions in priority retrial queues
J. Walraevens (2018)
10.1007/978-3-319-97595-5_17
Retrial Queueing Model with Two-Way Communication, Unreliable Server and Resume of Interrupted Call for Cognitive Radio Networks
S. Paul (2018)
Tail Asymptotics for a Retrial Queue with Bernoulli Schedule
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10.3906/MAT-1511-2
On the stochastic decomposition property of single server retrial queuing systems
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Reliability analysis of repairable queue system in communication network
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The Priority of Inbound Calls over Outbound Calls Modeled as a Discrete-Time Retrial/Delay System
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Two-Way Communication M/M/1/1 Queue with Server-Orbit Interaction and Feedback of Outgoing Retrial Calls
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Scaling limits for single server retrial queues with two-way communication
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A Mixed Discrete-Time Delay/Retrial Queueing Model for Handover Calls and New Calls Competing for a Target Channel
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Asymptotic Analysis Retrial Queueing System M/GI/1 with Hyper Exponential Distribution of the Delay Time in the Orbit and Exclusion of Alternative Customers
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10.1007/s10479-015-2038-7
A survey of retrial queueing systems
Jeongsim Kim (2016)
10.4018/978-1-5225-0044-5.CH004
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10.3934/JIMO.2020124
On the BMAP_1, BMAP_2/PH/g, c retrial queueing system
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