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Marked point processes as limits of Markovian arrival streams
7 references·16 citing·33 second hop
Marked point processes as limits of Markovian arrival streams (1993)Marked point processes as limits of Marko…New 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…Comparison Methods for Queues and Other Stochastic Models. (1986)Comparison Methods for Queues…Queues and Point Processes. (1985)Queues and Point Processes.Comparison Methods for Queues and Other Stochastic Models (1984)Comparison Methods for Queues…The N/G/1 queue and its detailed analysis (1980)The N/G/1 queue and its detai…Stochastic Processes in Queueing Theory (1976)Stochastic Processes in Queue…Markovian Arrival Processes (2011)Markovian Arrival ProcessesMulti-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…Markovian Arrival Process Parameter Estimation With Group Data (2009)Markovian Arrival Process Par…Passage Times in Fluid Models with Application to Risk Processes (2006)Passage Times in Fluid Models…Monotonicity in Markov Reward and Decision Chains: Theory and Applications (2006)Monotonicity in Markov Reward…The BMAP/G/1 queue: A tutorial (2005)The BMAP/G/1 queue: A tutorialRisk processes analyzed as fluid queues (2004)Risk processes analyzed as fl…Single-Server Queue with Markov-Dependent Inter-Arrival and Service Times (2003)Single-Server Queue with Mark…An EM-based technique for approximating long-tailed data sets with PH distributions (2003)An EM-based technique for app…An EM Algorithm for Batch Markovian Arrival Processes and its Comparison to a Simpler Estimation Procedure (2002)An EM Algorithm for Batch Mar…A Tandem Queue with Blocking and Markovian Arrival Process (2002)A Tandem Queue with Blocking …Tail probabilities for non-standard risk and queueing processes with subexponential jumps (1999)Tail probabilities for non-st…Structural results for the control of queueing systems using event-based dynamic programming (1998)Structural results for the co…The transient BMAP/G/l queue (1994)The transient BMAP/G/l queueOn the Assignment of Customers to Parallel Queues (1992)On the Assignment of Customer…Applying a New Device in the Optimization of Exponential Queuing Systems (1975)Optimal control of a queueing system with two heterogeneous servers (1984)Optimal control of two interacting service stations (1984)On optimal call admission control in resource-sharing system (2001)Queueing model for call blending in call centers (2003)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues (1993)The Queueing Network Analyzer (1983)The Markov-modulated Poisson process (MMPP) cookbook (1993)Modeling IP traffic using the batch Markovian arrival process (2003)Queueing systems with vacations ? A survey (1986)Traffic modeling for telecommunications networks (1994)The Batch Markovian Arrival Process: A Review and Future Work (2001)Optimality of the shortest line discipline (1977)An Introduction to Queueing Networks (1990)Delay-Optimal Server Allocation in Multiqueue Multiserver Systems With Time-Varying Connectivities (2009)Admission control for a multi-server queue with abandonment (2010)Optimal Policies for a Dual-Sourcing Inventory Problem with Endogenous Stochastic Lead Times (2016)Introduction to the Theory of Queues (1963)Introduction to the Theory of Queues. (1963)A stable recursion for the steady state vector in markov chains of m/g/1 type (1988)Dynamic server allocation to parallel queues with randomly varying connectivity (1993)Stability, queue length, and delay of deterministic and stochastic queueing networks (1994)Optimal Investment Policies for a Firm With a Random Risk Process: Exponential Utility and Minimizing the Probability of Ruin (1995)Continuity of Generalized Semi-Markov Processes (1980)Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)OR FORUM—Little's Law as Viewed on Its 50th Anniversary (2011)Blocking When Service Is Required From Several Facilities Simultaneously (1985)Dependency of Risks and Stop-Loss Order (1996)Approximating a Point Process by a Renewal Process, I: Two Basic Methods (1982)Martingale Methods in Financial Modelling (1997)Fluctuations of Lévy Processes with Applications (2014)
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References

  • 1991New results on the single server queue with a batch markovian arrival process1,085 cited
  • 1986Comparison Methods for Queues and Other Stochastic Models.938 cited
  • 1984Comparison Methods for Queues and Other Stochastic Models720 cited
  • 1976Stochastic Processes in Queueing Theory674 cited
  • 1990A single-server queue with server vacations and a class of non-renewal arrival processes535 cited
  • 1985Queues and Point Processes.342 cited
  • 1980The N/G/1 queue and its detailed analysis286 cited

Cited by

  • 2005The BMAP/G/1 queue: A tutorial199 cited
  • 1998Structural results for the control of queueing systems using event-based dynamic programming147 cited
  • 2006Monotonicity in Markov Reward and Decision Chains: Theory and Applications101 cited
  • 1994The transient BMAP/G/l queue101 cited
  • 1999Tail probabilities for non-standard risk and queueing processes with subexponential jumps100 cited
  • 2009Markovian Arrival Process Parameter Estimation With Group Data97 cited
  • 2002An EM Algorithm for Batch Markovian Arrival Processes and its Comparison to a Simpler Estimation Procedure90 cited
  • 2004Risk processes analyzed as fluid queues

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86 cited
  • 2003Single-Server Queue with Markov-Dependent Inter-Arrival and Service Times82 cited
  • 2011Markovian Arrival Processes82 cited
  • 2003An EM-based technique for approximating long-tailed data sets with PH distributions75 cited
  • 2010Markovian arrivals in stochastic modelling: a survey and some new results70 cited
  • 2010Multi-class Markovian arrival processes and their parameter fitting69 cited
  • 2006Passage Times in Fluid Models with Application to Risk Processes66 cited
  • 1992On the Assignment of Customers to Parallel Queues65 cited
  • 2002A Tandem Queue with Blocking and Markovian Arrival Process61 cited