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Markov chains with marked transitions11This research was supported in part by Grant No. DMI-930628 from the National Science Foundation and the K.C. Wang Education Foundation.
4 references·16 citing·39 second hop
Markov chains with marked transitions11This research was supported in part by Grant No. DMI-930628 from the National Science Foundation and the K.C. Wang Education Foundation. (1998)Markov chains with marked transitions11Th…Applied Probability and Queues (2003)Applied Probability and QueuesNew results on the single server queue with a batch markovian arrival process (1991)New results on the single ser…A single-server queue with server vacations and a class of non-renewal arrival processes (1990)A single-server queue with se…Applied Probability and Queues (1987)Applied Probability and QueuesFitting correlated arrival and service times and related queueing performance (2017)Fitting correlated arrival an…Fitting Phase-Type Distributions and Markovian Arrival Processes: Algorithms and Tools (2016)Fitting Phase-Type Distributi…A Fast EM Algorithm for Fitting Marked Markovian Arrival Processes with a New Special Structure (2013)A Fast EM Algorithm for Fitti…Priority queue with customer upgrades (2012)Priority queue with customer …On minimal representations of Rational Arrival Processes (2011)On minimal representations of…Multi-class Markovian arrival processes and their parameter fitting (2010)Multi-class Markovian arrival…Markovian arrivals in stochastic modelling: a survey and some new results (2010)Markovian arrivals in stochas…The asymptotic variance rate of the output process of finite capacity birth-death queues (2008)The asymptotic variance rate …Multi-server retrial queue with negative customers and disasters (2007)Multi-server retrial queue wi…A perishable inventory system with service facilities, MAP arrivals and PH — Service times (2007)A perishable inventory system…A matrix-analytic solution for the DBMAP/PH/1 priority queue (2006)A matrix-analytic solution fo…Discrete‐time analysis of MAP/PH/1 multiclass general preemptive priority queue (2003)Discrete‐time analysis of MAP…The Versatility of MMAP[K] and the MMAP[K]/G[K]/1 Queue (2001)The Versatility of MMAP[K] an…Queue Length Distribution in a FIFO Single-Server Queue with Multiple Arrival Streams Having Different Service Time Distributions (2001)Queue Length Distribution in …Distributional Form of Little's Law for FIFO Queues with Multiple Markovian Arrival Streams and Its Application to Queues with Vacations (2001)Distributional Form of Little…The $$MMAP\left[ K \right]/PH\left[ K \right]/1$$ queues with a last-come-first-served preemptive service discipline (1998)The $$MMAP\left[ K \right]/PH…A logarithmic reduction algorithm for quasi-birth-death processes (1993)Queueing analysis: A foundation of performance evaluation (1995)The delay distribution of a type k customer in a first-come-first-served MMAP[K]/PH[K]/1 queue (2002)Applications in Queueing Theory (2013)The stability of a queue with non-independent inter-arrival and service times (1962)Poisson Arrivals See Time Averages (1982)Stochastic Modeling and the Theory of Queues (1989)Single-Server Queues with Markov-Modulated Arrivals and Service Speed (2005)The Queueing Network Analyzer (1983)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)The Markov-modulated Poisson process (MMPP) cookbook (1993)Perishable Inventory Theory: A Review (1982)Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Optimal control of service parameter for a perishable inventory system maintained at service facility with impatient customers (2014)An ‘(s, S)’ inventory in a queueing system with batch service facility (2015)Inventory strategies for perishable products with two-period shelf-life and lost sales (2020)Marked point processes as limits of Markovian arrival streams (1993)Modeling IP traffic using the batch Markovian arrival process (2003)A Novel Approach for Phase-Type Fitting with the EM Algorithm (2006)Analysis and optimization of Guard Channel Policy in cellular mobile networks with account of retrials (2013)Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks (2017)Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes (1995)Retrial Queues (1997)A classified bibliography of research on retrial queues: Progress in 1990–1999 (1999)An initiative for a classified bibliography on G-networks (2010)Analysis of the finite source MAP/PH/N retrial G-queue operating in a random environment (2010)AnMX/G/1 queueing system with disasters and repairs under a multiple adapted vacation policy (2015)Queueing systems with vacations ? A survey (1986)Traffic modeling for telecommunications networks (1994)The Batch Markovian Arrival Process: A Review and Future Work (2001)Vacation Queueing Models Theory and Applications (2006)Analysis of a finite-buffer bulk-service queue under Markovian arrival process with batch-size-dependent service (2015)A queueing model with server breakdowns, repairs, vacations, and backup server (2019)Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks (1992)Dynamic server allocation to parallel queues with randomly varying connectivity (1993)Asset Pricing with Heterogeneous Consumers (1996)An Introduction to Numerical Transform Inversion and Its Application to Probability Models (2000)M/G/1 queue with multiple working vacations (2005)A Stochastic Model for Order Book Dynamics (2010)
this work references cited by second hop

References

  • 1987Applied Probability and Queues2,704 cited
  • 2003Applied Probability and Queues1,453 cited
  • 1991New results on the single server queue with a batch markovian arrival process1,085 cited
  • 1990A single-server queue with server vacations and a class of non-renewal arrival processes535 cited

Cited by

  • 2010Markovian arrivals in stochastic modelling: a survey and some new results70 cited
  • 2010Multi-class Markovian arrival processes and their parameter fitting69 cited
  • 2001Queue Length Distribution in a FIFO Single-Server Queue with Multiple Arrival Streams Having Different Service Time Distributions43 cited
  • 2007Multi-server retrial queue with negative customers and disasters42 cited
  • 2007A perishable inventory system with service facilities, MAP arrivals and PH — Service times40 cited
  • 1998The $$MMAP\left[ K \right]/PH\left[ K \right]/1$$ queues with a last-come-first-served preemptive service discipline38 cited
  • 2001The Versatility of MMAP[K] and the MMAP[K]/G[K]/1 Queue36 cited
  • 2011On minimal representations of Rational Arrival Processes33 cited
  • 2008The asymptotic variance rate of the output process of finite capacity birth-death queues31 cited
  • 2006A matrix-analytic solution for the DBMAP/PH/1 priority queue30 cited

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  • 2003Discrete‐time analysis of MAP/PH/1 multiclass general preemptive priority queue28 cited
  • 2013A Fast EM Algorithm for Fitting Marked Markovian Arrival Processes with a New Special Structure28 cited
  • 2016Fitting Phase-Type Distributions and Markovian Arrival Processes: Algorithms and Tools28 cited
  • 2012Priority queue with customer upgrades26 cited
  • 2001Distributional Form of Little's Law for FIFO Queues with Multiple Markovian Arrival Streams and Its Application to Queues with Vacations25 cited
  • 2017Fitting correlated arrival and service times and related queueing performance24 cited