The \(M/M/1\) queue with synchronized abandonments

DOI10.1007/s11134-011-9219-0zbMath1217.90071OpenAlexW2132892761MaRDI QIDQ543559

Stella Kapodistria

Publication date: 17 June 2011

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11134-011-9219-0

zbMATH Keywords

synchronizationMarkov chainstationary distributionbusy periodqueueing systemimpatient customersbasic \(q\)-hypergeometric seriesmean conditional sojourn time

Mathematics Subject Classification ID

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

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Cites Work

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• Stochastic decomposition in M/M/\({\infty}\) queues with Markov modulated service rates
• Call centers with impatient customers: Many-server asymptotics of the M/M/\(n+G\) queue
• Synchronized reneging in queueing systems with vacations
• Evaluating growth measures in an immigration process subject to binomial and geometric catastrophes
• Synchronized abandonments in a single server unreliable queue
• Queues with slow servers and impatient customers
• A queueing model and a set of orthogonal polynomials
• On the M/M/1 queue with catastrophes and its continuous approximation
• Queues with system disasters and impatient customers when system is down
• Analysis of customers' impatience in queues with server vacations
• Steady-state Markov chain models for certain \(q\)-confluent hypergeometric distributions
• Analysis of the busy period for the M/M/c queue: an algorithmic approach
• The Single Server Queue with Synchronized Services
• Certain state-dependent processes for dichotomised parasite populations
• INFINITE-SERVER QUEUES WITH SYSTEM'S ADDITIONAL TASKS AND IMPATIENT CUSTOMERS
• q-SERIES IN MARKOV CHAINS WITH BINOMIAL TRANSITIONS
• Birth, immigration and catastrophe processes
• A single-server queue with limited virtual waiting time
• An interesting random walk on the non-negative integers
• Steady state solution of a single-server queue with linear repeated requests
• The compound Poisson immigration process subject to binomial catastrophes
• The matrix M/M/∞ system: retrial models and Markov Modulated sources
• General customer impatience in the queue GI/G/1
• Some Conditions for Ergodicity and Recurrence of Markov Chains
• AnM|G|1 Retrial Queue with Nonpersistent Customers and Orbital Search