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A single server queue with Markov modulated service rates and impatient customers
16 references·2 citing·37 second hop
A single server queue with Markov modulated service rates and impatient customers (2014)A single server queue with Markov modulat…Matrix-analytic methods for fluid queues with finite buffers (2005)Matrix-analytic methods for f…Call Centers with Impatient Customers: Many-Server Asymptotics of the M/M/n + G Queue (2005)Call Centers with Impatient C…Stochastic Decomposition in M/M/∞ Queues with Markov Modulated Service Rates (2004)Stochastic Decomposition in M…Fluid Flow Models and Queues—A Connection by Stochastic Coupling (2003)Fluid Flow Models and Queues—…Asymptotic Results and a Markovian Approximation for the M(n)/M(n)/s+GI System (2002)Asymptotic Results and a Mark…M/M/1 Queue with Impatient Customers of Higher Priority (2001)M/M/1 Queue with Impatient Cu…Introduction to Matrix Analytic Methods in Stochastic Modeling (2000)Introduction to Matrix Analyt…On the M(n)/M(n)/s queue with impatient calls (1999)On the M(n)/M(n)/s queue with…On queueing with customer impatience until the beginning of service (1998)On queueing with customer imp…A logarithmic reduction algorithm for quasi-birth-death processes (1993)A logarithmic reduction algor…Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Structured Stochastic Matrice…Single-server queues with impatient customers (1984)Single-server queues with imp…Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models (1984)Piecewise-Deterministic Marko…The Application of Queueing Theory to Continuous Perishable Inventory Systems (1982)The Application of Queueing T…Queuing with Impatient Customers and Ordered Service (1957)Queuing with Impatient Custom…Queuing with Impatient Customers and Indifferent Clerks (1957)Queuing with Impatient Custom…Analysis of an M/G/1 queue with vacations and multiple phases of operation (2017)Analysis of an M/G/1 queue wi…The M/M/C queueing system in a random environment (2015)The M/M/C queueing system in …Heavy-Traffic Limits for Queues with Many Exponential Servers (1981)Telephone Call Centers: Tutorial, Review, and Research Prospects (2003)Statistical Analysis of a Telephone Call Center (2005)Martingale proofs of many-server heavy-traffic limits for Markovian queues (2007)Call center outsourcing: Coordinating staffing level and service quality (2008)The Impact of Delay Announcements in Many-Server Queues with Abandonment (2008)ON QUEUES WITH IMPATIENT CUSTOMERS. (1981)The impact of customers? patience on delay and abandonment: some empirically-driven experiments with the M/M/ n + G queue (2004)Markov chain models of a telephone call center with call blending (2005)Asymptotic analysis of queueing systems with reneging: A survey of results for FIFO, single class models (2011)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Stochastic theory of a fluid model of producers and consumers coupled by a buffer (1988)Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Time dependent analysis of finite buffer fluid flows and risk models with a dividend barrier (2007)Fluid queues with level dependent evolution (2008)Modelling and analysis of Markovian continuous flow systems with a finite buffer (2009)Introduction to the Theory of Queues. (1963)Stochastic Processes in Queueing Theory (1976)A Diffusion Approximation for a GI/GI/1 Queue with Balking or Reneging (2005)Analysis of customers’ impatience in queues with server vacations (2006)Queues with system disasters and impatient customers when system is down (2007)Introduction to Stochastic Processes (2014)Point Processes and Queues: Martingale Dynamics. (1983)Optimal Control with State-Space Constraint. II (1986)State space collapse with application to heavy traffic limits for multiclass queueing networks (1998)Optimal Proportional Reinsurance Policies in a Dynamic Setting (2001)General customer impatience in the queue GI/G/1 (1965)Reneging Phenomena in Single Channel Queues (1979)Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes (1995)Spectral analysis ofM/G/1 andG/M/1 type Markov chains (1996)The Batch Markovian Arrival Process: A Review and Future Work (2001)Risk theory in a Markovian environment (1989)A single-server queue with server vacations and a class of non-renewal arrival processes (1990)The Markov-modulated Poisson process (MMPP) cookbook (1993)A minimal representation of Markov arrival processes and a moments matching method (2007)A new class of models for heavy tailed distributions in finance and insurance risk (2012)Cost-minimization analysis of a working vacation queue with N-policy and server breakdowns (2015)
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References

  • 1984Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models1,123 cited
  • 1991Structured Stochastic Matrices of M/G/1 Type and Their Applications.996 cited
  • 1993A logarithmic reduction algorithm for quasi-birth-death processes391 cited
  • 2000Introduction to Matrix Analytic Methods in Stochastic Modeling285 cited
  • 2005Call Centers with Impatient Customers: Many-Server Asymptotics of the M/M/n + G Queue275 cited
  • 1984Single-server queues with impatient customers219 cited
  • 1957Queuing with Impatient Customers and Ordered Service197 cited
  • 1957Queuing with Impatient Customers and Indifferent Clerks148 cited
  • 1999On the M(n)/M(n)/s queue with impatient calls113 cited
  • 2005Matrix-analytic methods for fluid queues with finite buffers102 cited
  • 1998On queueing with customer impatience until the beginning of service99 cited
  • 2003Fluid Flow Models and Queues—A Connection by Stochastic Coupling90 cited
  • 1982The Application of Queueing Theory to Continuous Perishable Inventory Systems85 cited
  • 2002Asymptotic Results and a Markovian Approximation for the M(n)/M(n)/s+GI System81 cited
  • 2001M/M/1 Queue with Impatient Customers of Higher Priority

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79 cited
  • 2004Stochastic Decomposition in M/M/∞ Queues with Markov Modulated Service Rates77 cited
  • Cited by

    • 2015The M/M/C queueing system in a random environment24 cited
    • 2017Analysis of an M/G/1 queue with vacations and multiple phases of operation14 cited