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Algorithmic approximations for the busy period distribution of the M/M/c retrial queue
12 references·3 citing·38 second hop
Algorithmic approximations for the busy period distribution of the M/M/c retrial queue (2006)Algorithmic approximations for the busy p…A bibliographical guide to the analysis of retrial queues through matrix analytic techniques (2006)A bibliographical guide to th…Standard and retrial queueing systems: a comparative analysis (2002)Standard and retrial queueing…Numerical Calculation of the Stationary Distribution of the Main Multiserver Retrial Queue (2002)Numerical Calculation of the …A Retrial BMAP/PH/N System (2002)A Retrial BMAP/PH/N SystemA Multi-Server Retrial Queue with BMAP Arrivals and Group Services (2002)A Multi-Server Retrial Queue …Analysis of Markov Multiserver Retrial Queues with Negative Arrivals (2001)Analysis of Markov Multiserve…On the busy period of theM/G/1 retrial queue (2000)On the busy period of theM/G/…Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Introduction to Matrix Analyt…Retrial Queues (1997)Retrial QueuesCalculating the equilibrium distribution in level dependent quasi-birth-and-death processes (1995)Calculating the equilibrium d…Numerical investigation of a multiserver retrial model (1990)Numerical investigation of a …New results in the theory of repeated orders queueing systems (1979)New results in the theory of …On the distribution of the number stranded in bulk-arrival, bulk-service queues of the M/G/1 form (2011)On the distribution of the nu…An efficient method to compute the rate matrix for retrial queues with large number of servers (2010)An efficient method to comput…The Busy Period and the Waiting Time Analysis of a MAP/M/c Queue with Finite Retrial Group (2007)The Busy Period and the Waiti…New results on the single server queue with a batch markovian arrival process (1991)A BMAP/G/1 Retrial Queue with a Server Subject to Breakdowns and Repairs (2006)Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks (2017)Retrial multi-server queuing system with PHF service time distribution as a model of a channel with unreliable transmission of information (2018)Limit Theorems for Stochastic Processes (1987)A MAP/G/1 Queue with Negative Customers (2004)A mixed priority retrial queue with negative arrivals, unreliable server and multiple vacations (2012)Inventory with Positive Service Time: a Survey (2021)A classified bibliography of research on retrial queues: Progress in 1990–1999 (1999)Accessible bibliography on retrial queues (1999)Analysis of a multi-server retrial queue with search of customers from the orbit (2005)Numerical analysis of(s, S) inventory systems with repeated attempts (2006)M/M/s queue with impatient customers and retrials (2008)Stochastic Service Systems. (1963)Matrix-Geometric Solutions to Stochastic Models (1984)A survey on retrial queues (1987)A survey of retrial queueing systems (2015)Comparison Methods for Queues and Other Stochastic Models. (1986)A logarithmic reduction algorithm for quasi-birth-death processes (1993)Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory (2006)A survey on inventory models with positive service time (2011)Queueing Systems. Volume 1: Theory (1975)Stochastic Modeling and the Theory of Queues (1989)An introduction to queueing theory (1993)An retrial queueing system with two phases of service subject to the server breakdown and repair (2008)A batch arrival retrial queue with general retrial times under Bernoulli vacation schedule for unreliable server and delaying repair (2011)On an unreliable-server retrial queue with customer feedback and impatience (2017)Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Single server retrial queues with two way communication (2012)The Batch Markovian Arrival Process: A Review and Future Work (2001)Telephone Call Centers: Tutorial, Review, and Research Prospects (2003)Fundamentals of Matrix-Analytic Methods (2013)A game theoretic model for two types of customers competing for service (1983)A retrial queue with redundancy and unreliable server (1994)Discrete-time Geo1, Geo2/G/1 retrial queueing systems with two types of calls (1997)Reliability Analysis of the Retrial Queue with Server Breakdowns and Repairs (2001)Queueing Models of Call Centers: An Introduction (2002)Call center outsourcing: Coordinating staffing level and service quality (2008)
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References

  • 1999Introduction to Matrix Analytic Methods in Stochastic Modeling1,988 cited
  • 1997Retrial Queues884 cited
  • 1995Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes259 cited
  • 1990Numerical investigation of a multiserver retrial model210 cited
  • 2006A bibliographical guide to the analysis of retrial queues through matrix analytic techniques139 cited
  • 2002Standard and retrial queueing systems: a comparative analysis116 cited
  • 2002A Retrial BMAP/PH/N System106 cited
  • 2002Numerical Calculation of the Stationary Distribution of the Main Multiserver Retrial Queue81 cited
  • 2001Analysis of Markov Multiserver Retrial Queues with Negative Arrivals60 cited
  • 1979New results in the theory of repeated orders queueing systems54 cited
  • 2002A Multi-Server Retrial Queue with BMAP Arrivals and Group Services41 cited
  • 2000On the busy period of theM/G/1 retrial queue28 cited

Cited by

  • 2007The Busy Period and the Waiting Time Analysis of a MAP/M/c Queue with Finite Retrial Group18 cited
  • 2010An efficient method to compute the rate matrix for retrial queues with large number of servers17 cited
  • 2011On the distribution of the number stranded in bulk-arrival, bulk-service queues of the M/G/1 form

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16 cited