Stochastic approximations and monotonicity of a single server feedback retrial queue

DOI10.1155/2012/536982zbMATH Open1264.90051OpenAlexW1982547341WikidataQ58912054 ScholiaQ58912054MaRDI QIDQ1954889

Natalia V. Djellab, Mohamed Boualem, Djamil Aissani

Publication date: 11 June 2013

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/536982

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Continuous-time Markov processes on discrete state spaces (60J27)

Cites Work

• Accessible bibliography on retrial queues: progress in 2000-2009
• Stochastic orders
• Stochastic inequalities for \(M/G/1\) retrial queues with vacations and constant retrial policy
• A survey on retrial queues
• Unreliable M/G/1 retrial queue: Monotonicity and comparability
• Measure-valued differentiation for Markov chains
• Retrial Queueing Systems
• Retrial Queues
• Measure-Valued Differentiation for Stationary Markov Chains
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Related Items (7)

Stochastic inequalities for the queue model \(\mathrm{M}/\mathrm{G}/1/1\) with retrials ⋮ 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 ⋮ Service station factors in monotonicity of retrial queues.

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