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Algorithms for Infinite Markov Chains with Repeating Columns
5 references·11 citing·42 second hop
Algorithms for Infinite Markov Chains with Repeating Columns (1993)Algorithms for Infinite Markov Chains wit…Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Structured Stochastic Matrice…The caudal characteristic curve of queues (1986)The caudal characteristic cur…Opsearch (1985)OpsearchThe caudal characteristic curve of queues (1984)The caudal characteristic cur…Matrix-Geometric Solutions to Stochastic Models (1984)Matrix-Geometric Solutions to…Quasi-birth-and-death processes with restricted transitions and its applications (2010)Quasi-birth-and-death process…Quasi-Birth-and-Death Processes with Rational Arrival Process Components (2010)Quasi-Birth-and-Death Process…On the Dual Relationship Between Markov Chains of GI/M/1 and M/G/1 Type (2010)On the Dual Relationship Betw…The Batch Markovian Arrival Process Subject to Renewal Generated Geometric Catastrophes (2007)The Batch Markovian Arrival P…A CONSTRUCTIVE METHOD FOR FINDING β-INVARIANT MEASURES FOR TRANSITION MATRICES OF M/G/1 TYPE (2002)A CONSTRUCTIVE METHOD FOR FIN…Stochastic block–monotonicity in the approximation of the stationary distribution of infinite markov chains (2000)Stochastic block–monotonicity…Matrix Analytic Methods (2000)Matrix Analytic MethodsETAQA: an efficient technique for the analysis of QBD-processes by aggregation (1999)ETAQA: an efficient technique…Analysis of nonpreemptive priority queues with multiple servers and two priority classes (1999)Analysis of nonpreemptive pri…Invariant measures for quasi-birth-and-death processes (1998)Invariant measures for quasi-…The Bilingual Server System: A Queueing Model Featuring Fully And Partially Qualified Servers (1993)The Bilingual Server System: …A logarithmic reduction algorithm for quasi-birth-death processes (1993)β-Invariant Measures for Transition Matrices of GI/M/1 Type (2003)Approximated Transient Queue Length and Waiting Time Distributions via Steady State Analysis (2005)Introduction to Stochastic Processes (2014)Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)The BMAP/G/1 queue: A tutorial (2005)Q-MAM: A Tool for Solving Infinite Queues using Matrix-Analytic Methods (2008)On minimal representations of Rational Arrival Processes (2011)Transient and First Passage Time Distributions of First- and Second-order Multi-regime Markov Fluid Queues via ME-fication (2020)Some Inequalities for the Queue GI/G/1 (1962)The Interrupted Poisson Process As An Overflow Process (1973)Approximating a Point Process by a Renewal Process, I: Two Basic Methods (1982)Matrix-analytic methods in queuing theory (1984)Modeling and analysis of communication systems based on computational methods for Markov chains (1990)Real-Time Delay Estimation Based on Delay History (2008)Queueing Systems. Volume 1: Theory (1975)Probability, Stochastic Processes, and Queueing Theory (1995)Exact aggregate solutions for M/G/1-type Markov processes (2002)M/G/1-Type Markov Processes: A Tutorial (2002)MAMSolver: A Matrix Analytic Methods Tool (2002)Fundamentals of Queueing Theory. (1977)Fundamentals of Queueing Theory (1999)A preemptive priority queue with balking (2004)Light-tailed asymptotics of stationary probability vectors of Markov chains of GI/G/1 type (2005)A matrix-analytic solution for the DBMAP/PH/1 priority queue (2006)Moment formulas for the Markov renewal branching process (1976)Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector (1978)The N/G/1 queue and its detailed analysis (1980)The semi-markovian queue: theory and applications (1990)Performance analysis of a rate-control throttle where tokens and jobs queue (1991)The first two moment matrices of the counts for the markovian arrival process (1992)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)An Exact Solution for the State Probabilities of the Multi-Class, Multi-Server Queue with Preemptive Priorities (2005)Analysis of multi-server systems via dimensionality reduction of markov chains (2005)Scheduling for today's computer systems: bridging theory and practice (2007)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)Measurements and approximations to describe the offered traffic and predict the average workload in a single-server queue (1989)On the theory of general on-off sources with applications in high-speed networks (2002)
this work references cited by second hop

References

  • 1984Matrix-Geometric Solutions to Stochastic Models1,706 cited
  • 1991Structured Stochastic Matrices of M/G/1 Type and Their Applications.996 cited
  • 1985Opsearch88 cited
  • 1984The caudal characteristic curve of queues86 cited
  • 1986The caudal characteristic curve of queues81 cited

Cited by

  • 1999Analysis of nonpreemptive priority queues with multiple servers and two priority classes47 cited
  • 2010Quasi-Birth-and-Death Processes with Rational Arrival Process Components43 cited
  • 2000Matrix Analytic Methods42 cited
  • 1999ETAQA: an efficient technique for the analysis of QBD-processes by aggregation36 cited
  • 1998Invariant measures for quasi-birth-and-death processes31 cited
  • 1993The Bilingual Server System: A Queueing Model Featuring Fully And Partially Qualified Servers31 cited
  • 2002A CONSTRUCTIVE METHOD FOR FINDING β-INVARIANT MEASURES FOR TRANSITION MATRICES OF M/G/1 TYPE27 cited
  • 2007The Batch Markovian Arrival Process Subject to Renewal Generated Geometric Catastrophes26 cited
  • 2000Stochastic block–monotonicity in the approximation of the stationary distribution of infinite markov chains19 cited
  • 2010On the Dual Relationship Between Markov Chains of GI/M/1 and M/G/1 Type

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13 cited
  • 2010Quasi-birth-and-death processes with restricted transitions and its applications12 cited