Stochastic inequalities for \(M/G/1\) retrial queues with vacations and constant retrial policy

DOI10.1016/j.mcm.2009.03.009zbMath1185.90041OpenAlexW2052402156MaRDI QIDQ969866

Mohamed Boualem, Djamil Aissani, Natalia V. Djellab

Publication date: 8 May 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2009.03.009

zbMATH Keywords

stationary distributionstochastic orderingretrial queues with vacations

Mathematics Subject Classification ID

Queues and service in operations research (90B22)

Related Items (11)

Analysis of an \(M/G/1\) queue with \(N\)-policy, single vacation, unreliable service station and replaceable repair facility ⋮ DIMENSION REDUCTION FOR APPROXIMATION OF ADVANCED RETRIAL QUEUES : TUTORIAL AND REVIEW ⋮ Stochastic inequalities for the queue model \(\mathrm{M}/\mathrm{G}/1/1\) with retrials ⋮ On the efficient solution of a multiserver system with two reattempt orbits ⋮ Algorithmic approach to Markovian multi-server retrial queues with vacations ⋮ Stochastic approximations and monotonicity of a single server feedback retrial queue ⋮ Insensitive bounds for the stationary distribution of a single server retrial queue with server subject to active breakdowns ⋮ Stochastic Analysis of an M/G/1 Retrial Queue with FCFS ⋮ Bounds of the stationary distribution in M/G/1 retrial queue with two-way communication and n types of outgoing calls ⋮ Unnamed Item ⋮ Stochastic monotonicity approach for a non-Markovian priority retrial queue

Uses Software

• UMDES

Cites Work

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• Standard and retrial queueing systems: A comparative analysis
• A survey of retrial queues
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• Retrial queues with collision arising from unslotted CSMA/CD protocol
• Analysis of an \(M/G/1\) queue with constant repeated attempts and server vacations
• Analysis of queueing systems with synchronous single vacation for some servers
• Service station factors in monotonicity of retrial queues.
• The \(M/G/1\) retrial queue with Bernoulli schedules and general retrial times
• Stochastic inequalities for \(M/G/1\) retrial queues
• A retrial queue with structured batch arrivals, priorities and server vacations
• Measure-valued differentiation for Markov chains
• Monotonicity properties of single-server retrial queues
• A service model in which the server is required to search for customers
• Utilization of Idle Time in an M/G/1 Queueing System
• Retrial Queues
• Measure-Valued Differentiation for Stationary Markov Chains

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