Edit Profile (opens in new tab) Latouche, Guy Compute Distance To: Compute Author ID: latouche.guy Published as: Latouche, Guy; Latouche, G.; Latouches, Guy External Links: MGP Documents Indexed: 98 Publications since 1973, including 2 Books 6 Contributions as Editor Co-Authors: 55 Co-Authors with 85 Joint Publications 1,061 Co-Co-Authors all top 5 Co-Authors 19 single-authored 11 Meini, Beatrice 11 Remiche, Marie-Ange 11 Taylor, Peter Gerrard 10 Bini, Dario Andrea 8 Hautphenne, Sophie 7 Nguyen, Giang Thu 7 Ramaswami, Vaidyanathan 6 da Silva Soares, Ana 6 Dendievel, Sarah 5 Louchard, Guy 5 Stanford, David A. 4 Gaver, Donald Paul jun. 3 Badescu, Andrei L. 3 Breuer, Lothar 3 Govorun, Maria 3 Jacobs, Patricia A. 2 Bean, Nigel G. 2 Deiana, Eleonora 2 Dumont, J. J. 2 Miyazawa, Masakiyo 2 Pearce, Charles Edward Miller 2 Simon, Matthieu 1 Avram, Florin 1 Boychuk, Dennis 1 Colard, Jean Paul 1 Courtois, Pierre-Jacques 1 de Vega Rodrigo, Miguel 1 Deelstra, Griselda 1 Dehon, Michel 1 Devillers, Raymond 1 Drekic, Steve 1 Finch, Steven R. 1 Gillent, Fabienne 1 Horn, Wayne 1 Hunchak, Alek 1 Hunter, Jeffrey J. 1 Iannazzo, Bruno 1 Jiang, Shuxia 1 Loisel, Stéphane 1 Neuts, Marcel Fernand 1 Nguyend, Giang 1 Nicolas, Brigitte 1 Palmowski, Zbigniew 1 Pollett, Philip K. 1 Ramswami, V. 1 Schweitzer, Paul J. 1 Sedgewick, Robert 1 Sethuraman, Jayachandran 1 Sigman, Karl 1 Squillante, Mark S. 1 Stewart, Gilbert Wright 1 Takine, Tetsuya 1 Tang, Yingchun 1 van Lierde, S. 1 Woolford, Douglas G. 1 Yao, David D. W. all top 5 Serials 11 Stochastic Models 8 Journal of Applied Probability 6 Communications in Statistics. Stochastic Models 6 Linear Algebra and its Applications 5 Advances in Applied Probability 5 Queueing Systems 4 Methodology and Computing in Applied Probability 3 Cahiers du Centre d’Études de Recherche Opérationnelle 3 European Journal of Operational Research 2 IMA Journal of Numerical Analysis 2 Journal of Computational and Applied Mathematics 2 Performance Evaluation 2 SIAM Journal on Algebraic and Discrete Methods 2 The Annals of Applied Probability 2 Scandinavian Actuarial Journal 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Applied Mathematics and Computation 1 IEEE Transactions on Communications 1 Journal of the Association for Computing Machinery 1 Mathematics of Operations Research 1 Opsearch 1 OR Spektrum 1 RAIRO. Technique et Science Informatiques 1 Insurance Mathematics & Economics 1 Applied Numerical Mathematics 1 Belgian Journal of Operations Research, Statistics and Computer Science (JORBEL) 1 Applied Stochastic Models and Data Analysis 1 SIAM Journal on Matrix Analysis and Applications 1 Bulletin de la Classe des Sciences. 5e Série 1 SIAM Journal on Applied Mathematics 1 Stochastic Processes and their Applications 1 ASTIN Bulletin 1 Computer Networks 1 Naval Research Logistics Quarterly 1 ASA-SIAM Series on Statistics and Applied Probability 1 European Actuarial Journal 1 Stochastic Systems 1 Springer Proceedings in Mathematics & Statistics 1 Numerical Mathematics and Scientific Computation all top 5 Fields 84 Probability theory and stochastic processes (60-XX) 26 Operations research, mathematical programming (90-XX) 22 Numerical analysis (65-XX) 14 Computer science (68-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 4 General and overarching topics; collections (00-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 2 Biology and other natural sciences (92-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 85 Publications have been cited 1,410 times in 956 Documents Cited by ▼ Year ▼ Introduction to matrix analytic methods in stochastic modeling. Zbl 0922.60001Latouche, G.; Ramaswami, V. 557 1999 Numerical methods for structured Markov chains. Zbl 1076.60002Bini, Dario A.; Latouche, Guy; Meini, Beatrice 97 2005 A logarithmic reduction algorithm for quasi-birth-death processes. Zbl 0789.60055Latouche, Guy; Ramaswami, V. 96 1993 Finite birth-and-death models in randomly changing environments. Zbl 0554.60079Gaver, D. P.; Jacobs, P. A.; Latouche, G. 58 1984 Risk processes analyzed as fluid queues. Zbl 1092.91037Badescu, Andrei; Breuer, Lothar; Da Silva Soares, Ana; Latouches, Guy; Remiche, Marie-Ange; Stanford, David 45 2005 Efficient algorithmic solutions to exponential tandem queues with blocking. Zbl 0498.60088Latouche, Guy; Neuts, Marcel F. 28 1980 Phase-type approximations to finite-time ruin probabilities in the Sparre Andersen and stationary renewal risk models. Zbl 1123.62078Stanford, D. A.; Avram, F.; Badescu, A. L.; Breuer, L.; da Silva Soares, A.; Latouche, G. 24 2005 Newton’s iteration for non-linear equations in Markov chains. Zbl 0861.65132Latouche, Guy 21 1994 Fluid queues with level dependent evolution. Zbl 1176.90117Da Silva Soares, Ana; Latouche, Guy 21 2009 Queues with paired customers. Zbl 0463.60084Latouche, Guy 19 1981 A general class of Markov processes with explicit matrix-geometric solutions. Zbl 0612.60057Ramswami, V.; Latouche, G. 18 1986 Further results on the similarity between fluid queues and QBDs. Zbl 1162.90407da Silva Soares, Ana; Latouche, Guy 17 2002 A geometric interpretation of the relations between the exponential and generalized Erlang distributions. Zbl 0492.60018Dehon, Michel; Latouche, Guy 17 1982 Solving nonlinear matrix equations arising in tree-like stochastic processes. Zbl 1044.65034Bini, Dario A.; Latouche, Guy; Meini, Beatrice 16 2003 On the solution of algebraic Riccati equations arising in fluid queues. Zbl 1108.65036Bini, Dario A.; Iannazzo, Bruno; Latouche, Guy; Meini, Beatrice 16 2006 Newton’s iteration for the extinction probability of a Markovian binary tree. Zbl 1155.65038Hautphenne, Sophie; Latouche, Guy; Remiche, Marie-Ange 15 2008 Computing the exponential of large block-triangular block-Toeplitz matrices encountered in fluid queues. Zbl 1386.65129Bini, D. A.; Dendievel, S.; Latouche, G.; Meini, B. 15 2016 The quasi-stationary behavior of quasi-birth-and-death processes. Zbl 0883.60085Bean, N. G.; Bright, L.; Latouche, G.; Pearce, C. E. M.; Pollett, P. K.; Taylor, P. G. 14 1997 The surplus prior to ruin and the deficit at ruin for a correlated risk process. Zbl 1143.91025Badescu, Andrei L.; Breuer, Lothar; Drekic, Steve; Latouche, Guy; Stanford, David A. 14 2005 Transient Markov arrival processes. Zbl 1030.60067Latouche, Guy; Remiche, Marie-Ange; Taylor, Peter 13 2003 A stochastic fluid model for an ad hoc mobile network. Zbl 1193.90055Latouche, G.; Taylor, P. G. 13 2009 Algorithmic approach to the extinction probability of branching processes. Zbl 1210.60094Hautphenne, Sophie; Latouche, Guy; Remiche, Marie-Ange 13 2011 Truncation and augmentation of level-independent QBD processes. Zbl 1058.60066Latouche, Guy; Taylor, Peter 12 2002 Solving matrix polynomial equations arising in queueing problems. Zbl 0994.65047Bini, Dario A.; Latouche, Guy; Meini, Beatrice 11 2002 Stability for fluid queues: characteristic inequalities. Zbl 1271.60097Govorun, Maria; Latouche, Guy; Remiche, Marie-Ange 11 2013 Extinction probabilities of branching processes with countably infinitely many types. Zbl 1287.60102Hautphenne, S.; Latouche, G.; Nguyen, G. 10 2013 Algorithms for infinite Markov chains with repeating columns. Zbl 0790.65121Latouche, Guy 10 1993 Invariant measures for quasi-birth-and-death processes. Zbl 0930.60065Latouche, G.; Pearce, C. E. M.; Taylor, P. G. 9 1998 Finite Markov chain models skip-free in one direction. Zbl 0551.90097Latouche, G.; Jacobs, P. A.; Gaver, D. P. 9 1984 A note on two matrices occurring in the solution of quasi birth-and-death processes. Zbl 0622.60077Latouche, Guy 9 1987 The morphing of fluid queues into Markov-modulated Brownian motion. Zbl 1336.60151Latouche, Guy; Nguyen, Giang T. 9 2015 The Markovian binary tree applied to demography. Zbl 1279.60113Hautphenne, Sophie; Latouche, Guy 8 2012 The group inverse of finite homogeneous QBD processes. Zbl 1005.60093da Silva Soares, Ana; Latouche, Guy 8 2002 Numerical methods for M/G/1 type queues. Zbl 0871.60072Latouche, Guy; Stewart, G. W. 8 1995 Semi-explicit solutions for M/PH/1-like queueing systems. Zbl 0532.60095Gillent, Fabienne; Latouche, Guy 8 1983 An experimental evaluation of the matrix-geometric method for the GI/PH/1 queue. Zbl 0702.60083Ramaswami, V.; Latouche, Guy 7 1989 Drift conditions for matrix-analytic models. Zbl 1082.60077Latouche, Guy; Taylor, P. G. 7 2003 Fluid approach to two-sided reflected Markov-modulated Brownian motion. Zbl 1319.60160Latouche, Guy; Nguyen, Giang 7 2015 Return times in nearly-completely decomposable stochastic processes. Zbl 0378.60054Latouche, G.; Louchard, G. 6 1978 Product-form characterization for a two-dimensional reflecting random walk. Zbl 1310.60050Latouche, Guy; Miyazawa, Masakiyo 6 2014 Why is Kemeny’s constant a constant? Zbl 1405.60112Bini, Dario; Hunter, Jeffrey J.; Latouche, Guy; Meini, Beatrice; Taylor, Peter 6 2018 Erlangized fluid queues with application to uncontrolled fire perimeter. Zbl 1090.90040Stanford, David A.; Latouche, Guy; Woolford, Douglas G.; Boychuk, Dennis; Hunchak, Alek 5 2005 Queues with boundary assistance: The effects of truncation. Zbl 1238.60085Latouche, Guy; Nguyen, Giang T.; Taylor, Peter G. 5 2011 Tri-layered QBD processes with boundary assistance for service resources. Zbl 1148.60053Stanford, David; Horn, Wayne; Latouche, Guy 5 2006 Markov-renewal fluid queues. Zbl 1063.60127Latouche, Guy; Takine, Tetsuya 4 2004 The PH/PH/1 queue at epochs of queue size change. Zbl 0894.60086Latouche, G.; Ramaswami, V. 4 1997 A unified stochastic model for the packet stream from periodic sources. Zbl 0752.94002Latouche, Guy; Ramaswami, V. 4 1992 Level-phase independence for \(\text{GI}/\text{M}/1\)-type Markov chains. Zbl 0992.60069Latouche, Guy; Taylor, P. G. 4 2000 Geometric bounds on iterative approximations for nearly completely decomposable Markov chains. Zbl 0721.60069Louchard, Guy; Latouche, Guy 4 1990 Invariant measures for fluid queues. Zbl 1135.60339van Lierde, S.; da Silva Soares, A.; Latouche, G. 4 2008 Approximations for time-dependent distributions in Markovian fluid models. Zbl 1360.60145Dendievel, Sarah; Latouche, Guy 3 2017 Algorithmic analysis of Markovian model for a system with batch and interactive jobs. Zbl 0441.90033Colard, Jean Paul; Latouche, Guy 3 1980 A Markov modulated, nearly completely decomposable M/M/1 queue. Zbl 0862.60086Latouche, Guy; Schweitzer, Paul J. 3 1995 First passage times in nearly decomposable Markov chains. Zbl 0744.60077Latouche, Guy 3 1991 Approximations to quasi-birth-and-death processes with infinite blocks. Zbl 1209.60043Bean, Nigel; Latouche, Guy 3 2010 Algorithms for evaluating the matrix \(G\) in Markov chains of \(PH/G/1\) type. Zbl 0847.60075Latouche, Guy 3 1994 Slowing time: Markov-modulated Brownian motions with a sticky boundary. Zbl 1370.60138Latouche, Guy; Nguyen, Giang T. 3 2017 Markovian trees subject to catastrophes: would they survive forever? Zbl 1278.60132Hautphenne, Sophie; Latouche, Guy; Nguyen, Giang T. 2 2013 Two-dimensional fluid queues with temporary assistance. Zbl 1277.60159Latouche, Guy; Nguyen, Giang T.; Palmowski, Zbigniew 2 2013 The time-dependent expected reward and deviation matrix of a finite QBD process. Zbl 1414.60066Dendievel, Sarah; Hautphenne, Sophie; Latouche, Guy; Taylor, Peter G. 2 2019 Random times in nearly-completely decomposable, transient Markov chains. Zbl 0539.60068Louchard, Guy; Latouche, Guy 2 1982 On a Markovian queue with weakly correlated interarrival times. Zbl 0453.60091Latouche, Guy 2 1981 Algorithmic analysis of a multiprogramming-multiprocessor computer system. Zbl 0474.68005Latouche, Guy 2 1981 An exponential semi-Markov process, with applications to queueing theory. Zbl 0599.60081Latouche, Guy 2 1985 Perturbation analysis of a phase-type queue with weakly correlated arrivals. Zbl 0678.60091Latouche, Guy 2 1988 Exponential servers sharing a finite storage: Comparison of space allocation policies. Zbl 0431.68047Latouche, Guy 2 1980 Markovian trees subject to catastrophes: transient features and extinction probability. Zbl 1248.60087Hautphenne, Sophie; Latouche, Guy 2 2011 On barrier option pricing by Erlangization in a regime-switching model with jumps. Zbl 1442.91099Deelstra, Griselda; Latouche, Guy; Simon, Matthieu 2 2020 Wavelet transform for quasi-birth-death process with a continuous phase set. Zbl 1338.60212Jiang, Shuxia; Latouche, Guy; Liu, Yuanyuan 2 2015 General solution of the Poisson equation for quasi-birth-and-death processes. Zbl 1352.65124Bini, Dario; Dendievel, Sarah; Latouche, Guy; Meini, Beatrice 2 2016 Shift techniques for quasi-birth and death processes: canonical factorizations and matrix equations. Zbl 1372.65023Bini, D. A.; Latouche, G.; Meini, B. 2 2017 Asymptotic Poisson distribution in isotropic PH planar point processes. Zbl 0957.60050Remiche, M.-A.; Latouche, G. 1 2000 Modeling the effect of health: phase-type approach. Zbl 1304.91105Govorun, Maria; Latouche, Guy 1 2014 Perturbation analysis of Markov modulated fluid models. Zbl 1383.60075Dendievel, Sarah; Latouche, Guy 1 2017 Probability theory and computer science. Zbl 0551.60096 1 1983 Expected passage times in homogeneous quasi-birth-and-death processes. Zbl 0813.60077Latouche, Guy; Ramaswami, V. 1 1995 Markov-modulated Brownian motion with temporary change of regime at level zero. Zbl 1411.60120Latouche, Guy; Simon, Matthieu 1 2018 Phase-type aging modeling for health dependent costs. Zbl 1318.91114Govorun, Maria; Latouche, Guy; Loisel, Stéphane 1 2015 A phase-type semi-Markov point process. Zbl 0499.60095Latouche, Guy 1 1982 A simple proof for the matrix-geometric theorem. Zbl 0925.60072Latouche, Guy 1 1992 Blocking in tandem queues. Zbl 0607.60090Nicolas, Brigitte; Latouche, Guy 1 1985 Distributions de type phase. Tutorial. (Distributions of phase type. Tutorial). Zbl 0696.60024Latouche, Guy 1 1989 Tests de générateurs pseudo-aléatoires. Zbl 0274.65007Devillers, R.; Dumont, J. J.; Latouche, G. 1 1973 On the trade-off between queue congestion and server’s reward in an M/M/1 queue. Zbl 0425.90035Latouche, Guy 1 1980 Lyapunov exponents for branching processes in a random environment: the effect of information. Zbl 1341.60105Hautphenne, Sophie; Latouche, Guy 1 2016 On barrier option pricing by Erlangization in a regime-switching model with jumps. Zbl 1442.91099Deelstra, Griselda; Latouche, Guy; Simon, Matthieu 2 2020 The time-dependent expected reward and deviation matrix of a finite QBD process. Zbl 1414.60066Dendievel, Sarah; Hautphenne, Sophie; Latouche, Guy; Taylor, Peter G. 2 2019 Why is Kemeny’s constant a constant? Zbl 1405.60112Bini, Dario; Hunter, Jeffrey J.; Latouche, Guy; Meini, Beatrice; Taylor, Peter 6 2018 Markov-modulated Brownian motion with temporary change of regime at level zero. Zbl 1411.60120Latouche, Guy; Simon, Matthieu 1 2018 Approximations for time-dependent distributions in Markovian fluid models. Zbl 1360.60145Dendievel, Sarah; Latouche, Guy 3 2017 Slowing time: Markov-modulated Brownian motions with a sticky boundary. Zbl 1370.60138Latouche, Guy; Nguyen, Giang T. 3 2017 Shift techniques for quasi-birth and death processes: canonical factorizations and matrix equations. Zbl 1372.65023Bini, D. A.; Latouche, G.; Meini, B. 2 2017 Perturbation analysis of Markov modulated fluid models. Zbl 1383.60075Dendievel, Sarah; Latouche, Guy 1 2017 Computing the exponential of large block-triangular block-Toeplitz matrices encountered in fluid queues. Zbl 1386.65129Bini, D. A.; Dendievel, S.; Latouche, G.; Meini, B. 15 2016 General solution of the Poisson equation for quasi-birth-and-death processes. Zbl 1352.65124Bini, Dario; Dendievel, Sarah; Latouche, Guy; Meini, Beatrice 2 2016 Lyapunov exponents for branching processes in a random environment: the effect of information. Zbl 1341.60105Hautphenne, Sophie; Latouche, Guy 1 2016 The morphing of fluid queues into Markov-modulated Brownian motion. Zbl 1336.60151Latouche, Guy; Nguyen, Giang T. 9 2015 Fluid approach to two-sided reflected Markov-modulated Brownian motion. Zbl 1319.60160Latouche, Guy; Nguyen, Giang 7 2015 Wavelet transform for quasi-birth-death process with a continuous phase set. Zbl 1338.60212Jiang, Shuxia; Latouche, Guy; Liu, Yuanyuan 2 2015 Phase-type aging modeling for health dependent costs. Zbl 1318.91114Govorun, Maria; Latouche, Guy; Loisel, Stéphane 1 2015 Product-form characterization for a two-dimensional reflecting random walk. Zbl 1310.60050Latouche, Guy; Miyazawa, Masakiyo 6 2014 Modeling the effect of health: phase-type approach. Zbl 1304.91105Govorun, Maria; Latouche, Guy 1 2014 Stability for fluid queues: characteristic inequalities. Zbl 1271.60097Govorun, Maria; Latouche, Guy; Remiche, Marie-Ange 11 2013 Extinction probabilities of branching processes with countably infinitely many types. Zbl 1287.60102Hautphenne, S.; Latouche, G.; Nguyen, G. 10 2013 Markovian trees subject to catastrophes: would they survive forever? Zbl 1278.60132Hautphenne, Sophie; Latouche, Guy; Nguyen, Giang T. 2 2013 Two-dimensional fluid queues with temporary assistance. Zbl 1277.60159Latouche, Guy; Nguyen, Giang T.; Palmowski, Zbigniew 2 2013 The Markovian binary tree applied to demography. Zbl 1279.60113Hautphenne, Sophie; Latouche, Guy 8 2012 Algorithmic approach to the extinction probability of branching processes. Zbl 1210.60094Hautphenne, Sophie; Latouche, Guy; Remiche, Marie-Ange 13 2011 Queues with boundary assistance: The effects of truncation. Zbl 1238.60085Latouche, Guy; Nguyen, Giang T.; Taylor, Peter G. 5 2011 Markovian trees subject to catastrophes: transient features and extinction probability. Zbl 1248.60087Hautphenne, Sophie; Latouche, Guy 2 2011 Approximations to quasi-birth-and-death processes with infinite blocks. Zbl 1209.60043Bean, Nigel; Latouche, Guy 3 2010 Fluid queues with level dependent evolution. Zbl 1176.90117Da Silva Soares, Ana; Latouche, Guy 21 2009 A stochastic fluid model for an ad hoc mobile network. Zbl 1193.90055Latouche, G.; Taylor, P. G. 13 2009 Newton’s iteration for the extinction probability of a Markovian binary tree. Zbl 1155.65038Hautphenne, Sophie; Latouche, Guy; Remiche, Marie-Ange 15 2008 Invariant measures for fluid queues. Zbl 1135.60339van Lierde, S.; da Silva Soares, A.; Latouche, G. 4 2008 On the solution of algebraic Riccati equations arising in fluid queues. Zbl 1108.65036Bini, Dario A.; Iannazzo, Bruno; Latouche, Guy; Meini, Beatrice 16 2006 Tri-layered QBD processes with boundary assistance for service resources. Zbl 1148.60053Stanford, David; Horn, Wayne; Latouche, Guy 5 2006 Numerical methods for structured Markov chains. Zbl 1076.60002Bini, Dario A.; Latouche, Guy; Meini, Beatrice 97 2005 Risk processes analyzed as fluid queues. Zbl 1092.91037Badescu, Andrei; Breuer, Lothar; Da Silva Soares, Ana; Latouches, Guy; Remiche, Marie-Ange; Stanford, David 45 2005 Phase-type approximations to finite-time ruin probabilities in the Sparre Andersen and stationary renewal risk models. Zbl 1123.62078Stanford, D. A.; Avram, F.; Badescu, A. L.; Breuer, L.; da Silva Soares, A.; Latouche, G. 24 2005 The surplus prior to ruin and the deficit at ruin for a correlated risk process. Zbl 1143.91025Badescu, Andrei L.; Breuer, Lothar; Drekic, Steve; Latouche, Guy; Stanford, David A. 14 2005 Erlangized fluid queues with application to uncontrolled fire perimeter. Zbl 1090.90040Stanford, David A.; Latouche, Guy; Woolford, Douglas G.; Boychuk, Dennis; Hunchak, Alek 5 2005 Markov-renewal fluid queues. Zbl 1063.60127Latouche, Guy; Takine, Tetsuya 4 2004 Solving nonlinear matrix equations arising in tree-like stochastic processes. Zbl 1044.65034Bini, Dario A.; Latouche, Guy; Meini, Beatrice 16 2003 Transient Markov arrival processes. Zbl 1030.60067Latouche, Guy; Remiche, Marie-Ange; Taylor, Peter 13 2003 Drift conditions for matrix-analytic models. Zbl 1082.60077Latouche, Guy; Taylor, P. G. 7 2003 Further results on the similarity between fluid queues and QBDs. Zbl 1162.90407da Silva Soares, Ana; Latouche, Guy 17 2002 Truncation and augmentation of level-independent QBD processes. Zbl 1058.60066Latouche, Guy; Taylor, Peter 12 2002 Solving matrix polynomial equations arising in queueing problems. Zbl 0994.65047Bini, Dario A.; Latouche, Guy; Meini, Beatrice 11 2002 The group inverse of finite homogeneous QBD processes. Zbl 1005.60093da Silva Soares, Ana; Latouche, Guy 8 2002 Level-phase independence for \(\text{GI}/\text{M}/1\)-type Markov chains. Zbl 0992.60069Latouche, Guy; Taylor, P. G. 4 2000 Asymptotic Poisson distribution in isotropic PH planar point processes. Zbl 0957.60050Remiche, M.-A.; Latouche, G. 1 2000 Introduction to matrix analytic methods in stochastic modeling. Zbl 0922.60001Latouche, G.; Ramaswami, V. 557 1999 Invariant measures for quasi-birth-and-death processes. Zbl 0930.60065Latouche, G.; Pearce, C. E. M.; Taylor, P. G. 9 1998 The quasi-stationary behavior of quasi-birth-and-death processes. Zbl 0883.60085Bean, N. G.; Bright, L.; Latouche, G.; Pearce, C. E. M.; Pollett, P. K.; Taylor, P. G. 14 1997 The PH/PH/1 queue at epochs of queue size change. Zbl 0894.60086Latouche, G.; Ramaswami, V. 4 1997 Numerical methods for M/G/1 type queues. Zbl 0871.60072Latouche, Guy; Stewart, G. W. 8 1995 A Markov modulated, nearly completely decomposable M/M/1 queue. Zbl 0862.60086Latouche, Guy; Schweitzer, Paul J. 3 1995 Expected passage times in homogeneous quasi-birth-and-death processes. Zbl 0813.60077Latouche, Guy; Ramaswami, V. 1 1995 Newton’s iteration for non-linear equations in Markov chains. Zbl 0861.65132Latouche, Guy 21 1994 Algorithms for evaluating the matrix \(G\) in Markov chains of \(PH/G/1\) type. Zbl 0847.60075Latouche, Guy 3 1994 A logarithmic reduction algorithm for quasi-birth-death processes. Zbl 0789.60055Latouche, Guy; Ramaswami, V. 96 1993 Algorithms for infinite Markov chains with repeating columns. Zbl 0790.65121Latouche, Guy 10 1993 A unified stochastic model for the packet stream from periodic sources. Zbl 0752.94002Latouche, Guy; Ramaswami, V. 4 1992 A simple proof for the matrix-geometric theorem. Zbl 0925.60072Latouche, Guy 1 1992 First passage times in nearly decomposable Markov chains. Zbl 0744.60077Latouche, Guy 3 1991 Geometric bounds on iterative approximations for nearly completely decomposable Markov chains. Zbl 0721.60069Louchard, Guy; Latouche, Guy 4 1990 An experimental evaluation of the matrix-geometric method for the GI/PH/1 queue. Zbl 0702.60083Ramaswami, V.; Latouche, Guy 7 1989 Distributions de type phase. Tutorial. (Distributions of phase type. Tutorial). Zbl 0696.60024Latouche, Guy 1 1989 Perturbation analysis of a phase-type queue with weakly correlated arrivals. Zbl 0678.60091Latouche, Guy 2 1988 A note on two matrices occurring in the solution of quasi birth-and-death processes. Zbl 0622.60077Latouche, Guy 9 1987 A general class of Markov processes with explicit matrix-geometric solutions. Zbl 0612.60057Ramswami, V.; Latouche, G. 18 1986 An exponential semi-Markov process, with applications to queueing theory. Zbl 0599.60081Latouche, Guy 2 1985 Blocking in tandem queues. Zbl 0607.60090Nicolas, Brigitte; Latouche, Guy 1 1985 Finite birth-and-death models in randomly changing environments. Zbl 0554.60079Gaver, D. P.; Jacobs, P. A.; Latouche, G. 58 1984 Finite Markov chain models skip-free in one direction. Zbl 0551.90097Latouche, G.; Jacobs, P. A.; Gaver, D. P. 9 1984 Semi-explicit solutions for M/PH/1-like queueing systems. Zbl 0532.60095Gillent, Fabienne; Latouche, Guy 8 1983 Probability theory and computer science. Zbl 0551.60096 1 1983 A geometric interpretation of the relations between the exponential and generalized Erlang distributions. Zbl 0492.60018Dehon, Michel; Latouche, Guy 17 1982 Random times in nearly-completely decomposable, transient Markov chains. Zbl 0539.60068Louchard, Guy; Latouche, Guy 2 1982 A phase-type semi-Markov point process. Zbl 0499.60095Latouche, Guy 1 1982 Queues with paired customers. Zbl 0463.60084Latouche, Guy 19 1981 On a Markovian queue with weakly correlated interarrival times. Zbl 0453.60091Latouche, Guy 2 1981 Algorithmic analysis of a multiprogramming-multiprocessor computer system. Zbl 0474.68005Latouche, Guy 2 1981 Efficient algorithmic solutions to exponential tandem queues with blocking. Zbl 0498.60088Latouche, Guy; Neuts, Marcel F. 28 1980 Algorithmic analysis of Markovian model for a system with batch and interactive jobs. Zbl 0441.90033Colard, Jean Paul; Latouche, Guy 3 1980 Exponential servers sharing a finite storage: Comparison of space allocation policies. Zbl 0431.68047Latouche, Guy 2 1980 On the trade-off between queue congestion and server’s reward in an M/M/1 queue. Zbl 0425.90035Latouche, Guy 1 1980 Return times in nearly-completely decomposable stochastic processes. Zbl 0378.60054Latouche, G.; Louchard, G. 6 1978 Tests de générateurs pseudo-aléatoires. Zbl 0274.65007Devillers, R.; Dumont, J. J.; Latouche, G. 1 1973 all cited Publications top 5 cited Publications all top 5 Cited by 1,038 Authors 43 Latouche, Guy 28 Meini, Beatrice 26 Bini, Dario Andrea 25 Krishnamoorthy, Achyutha 23 He, Qi-Ming 22 Taylor, Peter Gerrard 22 Van Houdt, Benny 19 Ahn, Soohan 19 Alfa, Attahiru Sule 18 Hautphenne, Sophie 15 Chakravarthy, Srinivas R. 15 Cheung, Eric C. K. 15 Yechiali, Uri 14 Bean, Nigel G. 14 O’Reilly, Małgorzata M. 14 Ramaswami, Vaidyanathan 14 Telek, Miklós 14 Zhao, Yiqiang Q. 13 Badescu, Andrei L. 12 Artalejo, Jesus R. 12 Joshua, Varghese C. 12 Stanford, David A. 11 Drekic, Steve 11 Economou, Antonis 11 Gupta, Umesh Chandra 10 Adan, Ivo J. B. F. 10 Li, Quanlin 9 Breuer, Lothar 9 Castagliola, Philippe 9 Horváth, Gábor 9 Landriault, David 9 Massei, Stefano 9 Remiche, Marie-Ange 8 Dudin, Alexander N. 8 Miyazawa, Masakiyo 8 Nguyen, Giang Thu 7 Banik, Abhijit Datta 7 Fackrell, Mark 7 Grassmann, Winfried K. 7 Jiang, Tao 7 Ke, Jauchuan 7 Lambrecht, Marc R. 7 Masuyama, Hiroyuki 7 Ren, Jiandong 7 Robol, Leonardo 7 Sakuma, Yutaka 7 Takine, Tetsuya 7 Zhang, Hanqin 7 Zhang, Zhimin 6 Blondia, Chris 6 Boucherie, Richard J. 6 Boxma, Onno Johan 6 Bruneel, Herwig 6 Dendievel, Sarah 6 Fralix, Brian H. 6 Kim, Bara 6 Lee, Ho Woo 6 Liu, Liwei 6 Liu, Zaiming 6 Perel, Efrat 6 Phung-Duc, Tuan 6 Sandmann, Werner 6 Silvestrov, Dmitrii 6 Tian, Naishuo 5 Baumann, Hendrik 5 Boute, Robert N. 5 Deepak, T. G. 5 Dickson, David C. M. 5 Domínguez de la Iglesia, Manuel 5 Fiems, Dieter 5 Gómez-Corral, Antonio 5 Guo, Chun-Hua 5 Hanbali, Ahmad Al 5 Kim, Jeongsim 5 Klimenok, Valentina Ivanovna 5 Mandjes, Michel Robertus Hendrikus 5 Narayanan, Viswanath C. 5 Ng, Michael Kwok-Po 5 Shin, Yang Woo 5 Silvestrov, Sergei D. 5 Simon, Matthieu 5 Sztrik, János 5 Takahashi, Yutaka 5 Wu, Chia-Huang 5 Wu, Shulin 5 Ye, Qingqing 4 Akar, Nail 4 Avram, Florin 4 Babu, Dhanya 4 Braunsteins, Peter 4 Chaudhry, Mohan L. 4 Creemers, Stefan 4 da Silva Soares, Ana 4 Dai, J. G. (Jim) 4 De Turck, Koen 4 Goswami, Veena 4 Guo, Pei-Chang 4 Hu, Xuelong 4 Kao, Edward P. C. 4 Kawanishi, Ken’ichi ...and 938 more Authors all top 5 Cited in 155 Serials 103 Stochastic Models 76 European Journal of Operational Research 75 Queueing Systems 40 Annals of Operations Research 35 Linear Algebra and its Applications 25 Computers & Operations Research 25 Methodology and Computing in Applied Probability 24 Journal of Applied Probability 23 Applied Mathematical Modelling 21 Advances in Applied Probability 21 Operations Research Letters 21 Journal of Industrial and Management Optimization 19 Insurance Mathematics & Economics 16 Applied Mathematics and Computation 15 Scandinavian Actuarial Journal 14 Journal of Computational and Applied Mathematics 12 Probability in the Engineering and Informational Sciences 11 Asia-Pacific Journal of Operational Research 11 Top 10 Opsearch 10 Stochastic Processes and their Applications 10 Mathematical Problems in Engineering 9 Computers & Mathematics with Applications 9 Mathematical and Computer Modelling 8 Journal of Mathematical Biology 8 SIAM Journal on Matrix Analysis and Applications 7 Naval Research Logistics 7 Numerical Algorithms 7 Mathematical Methods of Operations Research 7 Journal of the Korean Statistical Society 6 Calcolo 6 Acta Mathematicae Applicatae Sinica. English Series 6 Communications in Statistics. Theory and Methods 6 North American Actuarial Journal 5 Journal of Mathematical Analysis and Applications 5 The Annals of Applied Probability 5 Journal of Statistical Computation and Simulation 5 Numerical Linear Algebra with Applications 5 Journal of Applied Mathematics and Computing 4 International Journal of Systems Science 4 Mathematical Biosciences 4 Physica A 4 Stochastic Analysis and Applications 4 Applied Numerical Mathematics 4 Journal of Scientific Computing 4 Automation and Remote Control 4 International Journal of Computer Mathematics 4 SIAM Journal on Scientific Computing 4 European Actuarial Journal 4 International Journal of Applied and Computational Mathematics 3 Journal of Approximation Theory 3 Numerische Mathematik 3 Statistics & Probability Letters 3 Discrete Event Dynamic Systems 3 Theory of Probability and Mathematical Statistics 3 RAIRO. Operations Research 3 Journal of Systems Science and Complexity 3 Journal of Applied Mathematics 3 Operational Research. An International Journal 3 Advances in Operations Research 3 Matematicheskaya Teoriya Igr i eë Prilozheniya 3 Journal of Theoretical Biology 3 Stochastic Systems 3 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 Journal of Computational Physics 2 Mathematics of Computation 2 BIT 2 Journal of Computer and System Sciences 2 Journal of Statistical Planning and Inference 2 Theoretical Computer Science 2 Optimization 2 Applied Mathematics Letters 2 Journal of Applied Mathematics and Stochastic Analysis 2 Computational Statistics and Data Analysis 2 Cybernetics and Systems Analysis 2 Journal of Mathematical Sciences (New York) 2 Computational and Applied Mathematics 2 ETNA. Electronic Transactions on Numerical Analysis 2 Bernoulli 2 Sbornik: Mathematics 2 Acta Mathematica Sinica. English Series 2 The ANZIAM Journal 2 OR Spectrum 2 ASTIN Bulletin 2 Journal of Biological Dynamics 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Frontiers of Mathematics in China 2 Journal of Probability and Statistics 2 Journal of the Operations Research Society of China 1 Acta Informatica 1 Bulletin of the Australian Mathematical Society 1 International Journal of Control 1 Journal of the Australian Mathematical Society, Series B 1 Journal of Statistical Physics 1 Linear and Multilinear Algebra 1 Periodica Mathematica Hungarica 1 Ukrainian Mathematical Journal 1 Theory of Probability and its Applications 1 Acta Mathematica Vietnamica 1 Annals of the Institute of Statistical Mathematics ...and 55 more Serials all top 5 Cited in 36 Fields 657 Probability theory and stochastic processes (60-XX) 458 Operations research, mathematical programming (90-XX) 145 Numerical analysis (65-XX) 95 Linear and multilinear algebra; matrix theory (15-XX) 91 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 84 Computer science (68-XX) 51 Statistics (62-XX) 36 Biology and other natural sciences (92-XX) 21 Systems theory; control (93-XX) 11 Operator theory (47-XX) 7 Partial differential equations (35-XX) 6 Combinatorics (05-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Integral transforms, operational calculus (44-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Field theory and polynomials (12-XX) 4 Functions of a complex variable (30-XX) 4 Special functions (33-XX) 4 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Approximations and expansions (41-XX) 4 Information and communication theory, circuits (94-XX) 3 Fluid mechanics (76-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year