Boundary value methods for solving transient solutions of Markovian queueing networks

Applied Mathematics and Computation ◽

10.1016/j.amc.2004.11.014 ◽

2006 ◽

Vol 172 (2) ◽

pp. 690-700 ◽

Author(s):

Raymond H. Chan ◽

Ka-Chun Ma ◽

Wai-Ki Ching

Keyword(s):

Queueing Networks ◽

Boundary Value ◽

Boundary Value Methods ◽

Transient Solutions ◽

Markovian Queueing Networks

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Boundary value methods for transient solutions of queueing networks with variant vacation policy

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.01.027 ◽

2012 ◽

Vol 236 (16) ◽

pp. 3948-3955 ◽

Author(s):

Raymond H. Chan ◽

Spike T. Lee ◽

Hai-Wei Sun

Keyword(s):

Queueing Networks ◽

Boundary Value ◽

Boundary Value Methods ◽

Transient Solutions

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Convergence of block boundary value methods for solving delay differential algebraic equations with index-1 and index-2

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126034 ◽

2021 ◽

Vol 399 ◽

pp. 126034

Author(s):

Jingjun Zhao ◽

Xingzhou Jiang ◽

Yang Xu

Keyword(s):

Boundary Value ◽

Differential Algebraic Equations ◽

Algebraic Equations ◽

Boundary Value Methods ◽

Block Boundary ◽

Index 2 ◽

Delay Differential

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Parallel simulation of Markovian queueing networks using adaptive uniformization

ACM SIGMETRICS Performance Evaluation Review ◽

10.1145/166962.167000 ◽

1993 ◽

Vol 21 (1) ◽

pp. 135-145 ◽

Author(s):

David M. Nicol ◽

Philip Heidelberger

Keyword(s):

Queueing Networks ◽

Parallel Simulation ◽

Markovian Queueing Networks

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An Overview of PANACEA, a Software Package for Analyzing Markovian Queueing Networks

Bell System Technical Journal ◽

10.1002/j.1538-7305.1982.tb02281.x ◽

1982 ◽

Vol 61 (10) ◽

pp. 2849-2872 ◽

Author(s):

K. G. Ramakrishnan ◽

D. Mitra

Keyword(s):

Queueing Networks ◽

Software Package ◽

Markovian Queueing Networks

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Boundary value methods based on Adams-type methods

Applied Numerical Mathematics ◽

10.1016/0168-9274(95)00041-r ◽

1995 ◽

Vol 18 (1-3) ◽

pp. 23-35 ◽

Author(s):

P. Amodio ◽

F. Mazzia

Keyword(s):

Boundary Value ◽

Boundary Value Methods

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Two-Step Multi-Derivative Boundary Value Methods for Linear IVPs∗

The Journal of Difference Equations and Applications ◽

10.1080/10236199708808081 ◽

1997 ◽

Vol 3 (1) ◽

pp. 1-19 ◽

Author(s):

Paolo Ghelardoni ◽

Pietro Marzulli

Keyword(s):

Boundary Value ◽

Boundary Value Methods

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Adaptive state- dependent importance sampling simulation of markovian queueing networks

European Transactions on Telecommunications ◽

10.1002/ett.4460130403 ◽

2002 ◽

Vol 13 (4) ◽

pp. 303-315 ◽

Author(s):

Pieter-Tjerk De Boer ◽

Victor F. Nicola

Keyword(s):

Importance Sampling ◽

Queueing Networks ◽

State Dependent ◽

Markovian Queueing Networks

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Analysis of Hamiltonian Boundary Value Methods (HB- VMs)

Line Integral Methods for Conservative Problems ◽

10.1201/b19319-6 ◽

2016 ◽

pp. 100-137

Keyword(s):

Boundary Value ◽

Boundary Value Methods ◽

Hamiltonian Boundary Value Methods

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Performance of Multiclass Markovian Queueing Networks Via Piecewise Linear Lyapunov Functions

10.1214/aoap/1015345407 ◽

2001 ◽

Vol 11 (4) ◽

pp. 1384-1428 ◽

Author(s):

Dimitris Bertsimas ◽

David Gamarnik ◽

John N. Tsitsiklis

Keyword(s):

Queueing Networks ◽

Lyapunov Functions ◽

Piecewise Linear ◽

Linear Lyapunov Functions ◽

Markovian Queueing Networks

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Performance sensitivity analysis of open Markovian queueing networks

European Journal of Operational Research ◽

10.1016/0377-2217(94)90285-2 ◽

1994 ◽

Vol 76 (3) ◽

pp. 529-551

Author(s):

Xi-Ren Cao

Keyword(s):

Sensitivity Analysis ◽

Queueing Networks ◽

Performance Sensitivity ◽

Markovian Queueing Networks

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