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A fitting algorithm for Markov-modulated poisson processes having two arrival rates
5 references·10 citing·39 second hop
A fitting algorithm for Markov-modulated poisson processes having two arrival rates (1987)A fitting algorithm for Markov-modulated …Matrix-geometric solutions in stochastic models (1985)Matrix-geometric solutions in…Matrix-Geometric Solutions to Stochastic Models (1984)Matrix-Geometric Solutions to…The N/G/1 queue and its detailed analysis (1980)The N/G/1 queue and its detai…A Class of Data Traffic Processes-Covariance Function Characterization and Related Queuing Results (1980)A Class of Data Traffic Proce…The Interrupted Poisson Process As An Overflow Process (1973)The Interrupted Poisson Proce…A multi-item approach to repairable stocking and expediting in a fluctuating demand environment (2016)A multi-item approach to repa…Faster Maximum Likelihood Estimation Algorithms for Markovian Arrival Processes (2009)Faster Maximum Likelihood Est…Decomposition of general queueing networks with MMPP inputs and customer losses (2003)Decomposition of general queu…An approximation for performance evaluation of stationary single server queues (2002)An approximation for performa…On approximating higher order MAPs with MAPs of order two (2000)On approximating higher order…MMPP models for multimedia traffic (2000)MMPP models for multimedia tr…Approximate analysis of discrete-time tandem queueing networks with bursty and correlated input traffic and customer loss (1994)Approximate analysis of discr…An approximation for performance evaluation of stationary single server queues (1994)An approximation for performa…Parameter estimation for Markov modulated Poisson processes via the EM algorithm with time discretization (1993)Parameter estimation for Mark…Overload control in a finite message storage buffer (1989)Overload control in a finite …A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)The Markov-modulated Poisson process (MMPP) cookbook (1993)「Urban Economics and Real Estate Markets」by Denise DiPasquale and William C.Wheaton(Prentice Hall,Englewood Cliffs,NJ,1996,378pages) (1997)Queue Size in a BMAP Queue with Finite Buffer (2006)The G-queue with heterogeneous servers: Steady state solution and an application to performance evaluation (2006)Transient analysis of the MMPP/G/1/K queue (2006)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)Marked point processes as limits of Markovian arrival streams (1993)The Batch Markovian Arrival Process: A Review and Future Work (2001)Queuing Problems with Heterogeneous Arrivals and Service (1971)The analysis of a queue arising in overflow models (1989)The n/g/l finite capacity queue (1989)Single-Server Queue with Markov-Dependent Inter-Arrival and Service Times (2003)The Queueing Network Analyzer (1983)New results on the single server queue with a batch markovian arrival process (1991)The tandem queue with losses (2004)Investigation of the BMAP/G/1→·/PH/1/M tandem queue with retrials and losses (2010)Modeling Cross Correlation in Three-Moment Four-Parameter Decomposition Approximation of Queueing Networks (2011)Channels that Cooperatively Service a Data Stream and Voice Messages (1982)Models for analysis of packet voice communications systems (1986)Analysis of multi-media traffic queues with finite buffer and overload control. I. Algorithm (1991)Analysis of individual packet loss in a finite buffer queue with heterogeneous Markov modulated arrival processes: a study of traffic burstiness and priority packet discarding (1992)Entropy maximisation and open queueing networks with priorities and blocking (2003)Queueing Systems. Volume 1: Theory (1975)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Diffusion approximation modeling for Markov modulated bursty traffic and its applications to bandwidth allocation in ATM networks (1998)Queueing analysis of high-speed multiplexers including long-range dependent arrival processes (1999)On the asymptotic relationship between the overflow probability and the loss ratio (2001)Stochastic theory of a fluid model of producers and consumers coupled by a buffer (1988)Inventory Control in a Fluctuating Demand Environment (1993)To Queue or Not to Queue: Equilibrium Behavior in Queueing Systems (2003)Queueing Models for Computer Communications System Analysis (1977)Queueing Networks: A Survey of Their Random Processes (1985)The BMAP/G/1 queue: A tutorial (2005)Fitting Phase-Type Distributions and Markovian Arrival Processes: Algorithms and Tools (2016)Risk theory in a Markovian environment (1989)Russian and American put options under exponential phase-type Lévy models (2003)
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References

  • 1984Matrix-Geometric Solutions to Stochastic Models1,706 cited
  • 1985Matrix-geometric solutions in stochastic models871 cited
  • 1980The N/G/1 queue and its detailed analysis286 cited
  • 1973The Interrupted Poisson Process As An Overflow Process252 cited
  • 1980A Class of Data Traffic Processes-Covariance Function Characterization and Related Queuing Results157 cited

Cited by

  • 1989Overload control in a finite message storage buffer81 cited
  • 1994An approximation for performance evaluation of stationary single server queues64 cited
  • 2000MMPP models for multimedia traffic58 cited
  • 1993Parameter estimation for Markov modulated Poisson processes via the EM algorithm with time discretization46 cited
  • 2003Decomposition of general queueing networks with MMPP inputs and customer losses41 cited
  • 2000On approximating higher order MAPs with MAPs of order two36 cited
  • 2009Faster Maximum Likelihood Estimation Algorithms for Markovian Arrival Processes35 cited
  • 1994Approximate analysis of discrete-time tandem queueing networks with bursty and correlated input traffic and customer loss29 cited
  • 2002An approximation for performance evaluation of stationary single server queues24 cited

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2016
A multi-item approach to repairable stocking and expediting in a fluctuating demand environment
19 cited