×

zbMATH — the first resource for mathematics

Guillemin, Fabrice M.

Compute Distance To:
Author ID: guillemin.fabrice-m Recent zbMATH articles by "Guillemin, Fabrice M."
Published as: Guillemin, F.; Guillemin, F. M.; Guillemin, Fabrice; Guillemin, Fabrice M.
External Links: ORCID
Documents Indexed: 53 Publications since 1991

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 257 times in 184 Documents Cited by Year
A Markovian analysis of additive-increase multiplicative-decrease algorithms. Zbl 1002.60091
Dumas, Vincent; Guillemin, Fabrice; Robert, Philippe
41
2002
AIMD algorithms and exponential functionals. Zbl 1041.60072
Guillemin, Fabrice; Robert, Philippe; Zwart, Bert
38
2004
The formal theory of birth-and-death processes, lattice path combinatorics and continued fractions. Zbl 0966.60069
Flajolet, Philippe; Guillemin, Fabrice
19
2000
Rare event asymptotics for a random walk in the quarter plane. Zbl 1210.60100
Guillemin, Fabrice; van Leeuwaarden, Johan S. H.
17
2011
Analysis of the M/M/1 queue with processor sharing via spectral theory. Zbl 0995.60085
Guillemin, Fabrice; Boyer, Jacqueline
13
2001
Analysis of generalized processor-sharing systems with two classes of customers and exponential services. Zbl 1065.60132
Guillemin, Fabrice; Pinchon, Didier
12
2004
Tail asymptotics for processor-sharing queues. Zbl 1054.60094
Guillemin, Fabrice; Robert, Philippe; Zwart, Bert
12
2004
Excursions of birth and death processes, orthogonal polynomials, and continued fractions. Zbl 0947.60072
Guillemin, Fabrice; Pinchon, Didier
9
1999
Wireless three-hop networks with stealing. II: Exact solutions through boundary value problems. Zbl 1266.90074
Guillemin, Fabrice; Knessl, Charles; van Leeuwaarden, Johan S. H.
8
2013
On the area swept under the occupation process of an \(M/M/1\) queue in a busy period. Zbl 0917.90131
Guillemin, Fabrice; Pinchon, Didier
7
1998
Transient characteristics of an \(M/M/\infty\) system. Zbl 0829.60058
Guillemin, Fabrice; Simonian, Alain
7
1995
Continued fraction analysis of the duration of an excursion in an \(\text{M/M/}\infty\) system. Zbl 0906.60050
Guillemin, Fabrice; Pinchon, Didier
6
1998
On pathwise behavior of queues. Zbl 0766.90029
Mazumdar, Ravi R.; Guillemin, Fabrice; Badrinath, Vivek; Kannurpatti, Raghavan
6
1992
Wireless multihop networks with stealing: large buffer asymptotics via the ray method. Zbl 1238.60102
Guillemin, Fabrice; Knessl, Charles; Van Leeuwaarden, Johan S. H.
5
2011
Sojourn times in the \(M/ PH/1\) processor sharing queue. Zbl 1080.90034
Sericola, Bruno; Guillemin, Fabrice; Boyer, Jacqueline
5
2005
Forward equations for reflected diffusions with jumps. Zbl 0841.60062
Mazumdar, R. R.; Guillemin, F. M.
5
1996
On pathwise rate conservation for a class of semi-martingales. Zbl 0786.60061
Mazumdar, Ravi; Badrinath, Vivek; Guillemin, Fabrice; Rosenberg, Catherine
5
1993
Stationary analysis of the shortest queue first service policy. Zbl 1309.60087
Guillemin, Fabrice; Simonian, Alain
4
2014
Perturbation analysis of a variable M/M/1 queue: a probabilistic approach. Zbl 1114.60071
Antunes, Nelson; Fricker, Christine; Guillemin, Fabrice; Robert, Philippe
4
2006
Scale functions of Lévy processes and busy periods of finite-capacity M/GI/1 queues. Zbl 1076.60078
Dube, Parijat; Guillemin, Fabrice; Mazumdar, Ravi R.
4
2004
Stationary analysis of a fluid queue driven by some countable state space Markov chain. Zbl 1151.60042
Guillemin, Fabrice; Sericola, Bruno
3
2007
On the local times and boundary properties of reflected diffusions with jumps in the positive orthant. Zbl 1111.60060
Piera, F. J.; Mazumdar, R. R.; Guillemin, F. M.
3
2006
Stationary analysis of the “shortest queue first” service policy: the asymmetric case. Zbl 1370.60168
Guillemin, Fabrice; Simonian, Alain
2
2017
Volume and duration of losses in finite buffer fluid queues. Zbl 1326.60128
Guillemin, Fabrice; Sericola, Bruno
2
2015
First response to letter of G. Fayolle and R. Iasnogorodski. Zbl 1303.90029
Guillemin, F.; Knessl, C.; van Leeuwaarden, J. S. H.
2
2014
Existence and characterization of product-form invariant distributions for state-dependent stochastic networks in the heavy-traffic diffusion limit. Zbl 1136.60369
Piera, Francisco J.; Mazumdar, Ravi R.; Guillemin, Fabrice M.
2
2008
On product-form stationary distributions for reflected diffusions with jumps in the positive orthant. Zbl 1064.60168
Piera, Francisco J.; Mazumdar, Ravir R.; Guillemin, Fabrice M.
2
2005
Rate conservation laws for multidimensional processes of bounded variation with applications to priority queueing systems. Zbl 1049.60082
Guillemin, Fabrice; Mazumdar, Ravi
2
2004
On pathwise behavior of multiserver queues. Zbl 0789.60079
Guillemin, Fabrice; Mazumdar, Ravi R.
2
1994
Two parallel queues with infinite servers and join the shortest queue discipline. Zbl 1346.68042
Guillemin, F.; Olivier, P.; Simonian, A.; Tanguy, C.
1
2015
Erratum to: “Wireless three-hop networks with stealing. II: Exact solutions through boundary value problems”. Zbl 1299.90098
Guillemin, Fabrice; Knessl, Charles; van Leeuwaarden, Johan S. H.
1
2014
Perturbation analysis of an \(M/M/1\) queue in a diffusion random environment. Zbl 1156.90331
Fricker, Christine; Guillemin, Fabrice; Robert, Philippe
1
2009
Boundary behavior and product-form stationary distributions of jump diffusions in the orthant with state-dependent reflections. Zbl 1143.60053
Piera, Francisco J.; Mazumdar, Ravi R.; Guillemin, Fabrice M.
1
2008
Wavelet denoising and segmentation for non-stationary signals: A reinterpretation of an iterative algorithm and application to phonoenterography. Zbl 1035.94517
Ranta, R.; Louis-Dorr, Valérie; Heinrich, C.; Wolf, D.; Guillemin, F.
1
2003
Analysis of the fluid weighted fair queueing systems. Zbl 1022.68015
Guillemin, Fabrice; Mazumdar, Ravi; Dupuis, Alain; Boyer, Jacqueline
1
2003
On heavy traffic approximations for transient characteristics of \(M/M/\infty\) queues. Zbl 0855.60092
Guillemin, Fabrice M.; Mazumdar, Ravi R.; Simonian, Alain D.
1
1996
Excursions of the workload process in \(G/GI/1\) queues. Zbl 0829.60086
Guillemin, Fabrice M.; Mazumdar, Ravi R.
1
1995
A note on a pathwise version of Little’s formula. Zbl 0790.60084
Mazumdar, Ravi; Badrinath, Vivek; Guillemin, Fabrice; Rosenberg, Catherine
1
1993
Burstiness in broadband integrated networks. Zbl 0770.90024
Guillemin, Fabrice; Boyer, Jacqueline; Dupuis, Alain
1
1992
Stationary analysis of the “shortest queue first” service policy: the asymmetric case. Zbl 1370.60168
Guillemin, Fabrice; Simonian, Alain
2
2017
Volume and duration of losses in finite buffer fluid queues. Zbl 1326.60128
Guillemin, Fabrice; Sericola, Bruno
2
2015
Two parallel queues with infinite servers and join the shortest queue discipline. Zbl 1346.68042
Guillemin, F.; Olivier, P.; Simonian, A.; Tanguy, C.
1
2015
Stationary analysis of the shortest queue first service policy. Zbl 1309.60087
Guillemin, Fabrice; Simonian, Alain
4
2014
First response to letter of G. Fayolle and R. Iasnogorodski. Zbl 1303.90029
Guillemin, F.; Knessl, C.; van Leeuwaarden, J. S. H.
2
2014
Erratum to: “Wireless three-hop networks with stealing. II: Exact solutions through boundary value problems”. Zbl 1299.90098
Guillemin, Fabrice; Knessl, Charles; van Leeuwaarden, Johan S. H.
1
2014
Wireless three-hop networks with stealing. II: Exact solutions through boundary value problems. Zbl 1266.90074
Guillemin, Fabrice; Knessl, Charles; van Leeuwaarden, Johan S. H.
8
2013
Rare event asymptotics for a random walk in the quarter plane. Zbl 1210.60100
Guillemin, Fabrice; van Leeuwaarden, Johan S. H.
17
2011
Wireless multihop networks with stealing: large buffer asymptotics via the ray method. Zbl 1238.60102
Guillemin, Fabrice; Knessl, Charles; Van Leeuwaarden, Johan S. H.
5
2011
Perturbation analysis of an \(M/M/1\) queue in a diffusion random environment. Zbl 1156.90331
Fricker, Christine; Guillemin, Fabrice; Robert, Philippe
1
2009
Existence and characterization of product-form invariant distributions for state-dependent stochastic networks in the heavy-traffic diffusion limit. Zbl 1136.60369
Piera, Francisco J.; Mazumdar, Ravi R.; Guillemin, Fabrice M.
2
2008
Boundary behavior and product-form stationary distributions of jump diffusions in the orthant with state-dependent reflections. Zbl 1143.60053
Piera, Francisco J.; Mazumdar, Ravi R.; Guillemin, Fabrice M.
1
2008
Stationary analysis of a fluid queue driven by some countable state space Markov chain. Zbl 1151.60042
Guillemin, Fabrice; Sericola, Bruno
3
2007
Perturbation analysis of a variable M/M/1 queue: a probabilistic approach. Zbl 1114.60071
Antunes, Nelson; Fricker, Christine; Guillemin, Fabrice; Robert, Philippe
4
2006
On the local times and boundary properties of reflected diffusions with jumps in the positive orthant. Zbl 1111.60060
Piera, F. J.; Mazumdar, R. R.; Guillemin, F. M.
3
2006
Sojourn times in the \(M/ PH/1\) processor sharing queue. Zbl 1080.90034
Sericola, Bruno; Guillemin, Fabrice; Boyer, Jacqueline
5
2005
On product-form stationary distributions for reflected diffusions with jumps in the positive orthant. Zbl 1064.60168
Piera, Francisco J.; Mazumdar, Ravir R.; Guillemin, Fabrice M.
2
2005
AIMD algorithms and exponential functionals. Zbl 1041.60072
Guillemin, Fabrice; Robert, Philippe; Zwart, Bert
38
2004
Analysis of generalized processor-sharing systems with two classes of customers and exponential services. Zbl 1065.60132
Guillemin, Fabrice; Pinchon, Didier
12
2004
Tail asymptotics for processor-sharing queues. Zbl 1054.60094
Guillemin, Fabrice; Robert, Philippe; Zwart, Bert
12
2004
Scale functions of Lévy processes and busy periods of finite-capacity M/GI/1 queues. Zbl 1076.60078
Dube, Parijat; Guillemin, Fabrice; Mazumdar, Ravi R.
4
2004
Rate conservation laws for multidimensional processes of bounded variation with applications to priority queueing systems. Zbl 1049.60082
Guillemin, Fabrice; Mazumdar, Ravi
2
2004
Wavelet denoising and segmentation for non-stationary signals: A reinterpretation of an iterative algorithm and application to phonoenterography. Zbl 1035.94517
Ranta, R.; Louis-Dorr, Valérie; Heinrich, C.; Wolf, D.; Guillemin, F.
1
2003
Analysis of the fluid weighted fair queueing systems. Zbl 1022.68015
Guillemin, Fabrice; Mazumdar, Ravi; Dupuis, Alain; Boyer, Jacqueline
1
2003
A Markovian analysis of additive-increase multiplicative-decrease algorithms. Zbl 1002.60091
Dumas, Vincent; Guillemin, Fabrice; Robert, Philippe
41
2002
Analysis of the M/M/1 queue with processor sharing via spectral theory. Zbl 0995.60085
Guillemin, Fabrice; Boyer, Jacqueline
13
2001
The formal theory of birth-and-death processes, lattice path combinatorics and continued fractions. Zbl 0966.60069
Flajolet, Philippe; Guillemin, Fabrice
19
2000
Excursions of birth and death processes, orthogonal polynomials, and continued fractions. Zbl 0947.60072
Guillemin, Fabrice; Pinchon, Didier
9
1999
On the area swept under the occupation process of an \(M/M/1\) queue in a busy period. Zbl 0917.90131
Guillemin, Fabrice; Pinchon, Didier
7
1998
Continued fraction analysis of the duration of an excursion in an \(\text{M/M/}\infty\) system. Zbl 0906.60050
Guillemin, Fabrice; Pinchon, Didier
6
1998
Forward equations for reflected diffusions with jumps. Zbl 0841.60062
Mazumdar, R. R.; Guillemin, F. M.
5
1996
On heavy traffic approximations for transient characteristics of \(M/M/\infty\) queues. Zbl 0855.60092
Guillemin, Fabrice M.; Mazumdar, Ravi R.; Simonian, Alain D.
1
1996
Transient characteristics of an \(M/M/\infty\) system. Zbl 0829.60058
Guillemin, Fabrice; Simonian, Alain
7
1995
Excursions of the workload process in \(G/GI/1\) queues. Zbl 0829.60086
Guillemin, Fabrice M.; Mazumdar, Ravi R.
1
1995
On pathwise behavior of multiserver queues. Zbl 0789.60079
Guillemin, Fabrice; Mazumdar, Ravi R.
2
1994
On pathwise rate conservation for a class of semi-martingales. Zbl 0786.60061
Mazumdar, Ravi; Badrinath, Vivek; Guillemin, Fabrice; Rosenberg, Catherine
5
1993
A note on a pathwise version of Little’s formula. Zbl 0790.60084
Mazumdar, Ravi; Badrinath, Vivek; Guillemin, Fabrice; Rosenberg, Catherine
1
1993
On pathwise behavior of queues. Zbl 0766.90029
Mazumdar, Ravi R.; Guillemin, Fabrice; Badrinath, Vivek; Kannurpatti, Raghavan
6
1992
Burstiness in broadband integrated networks. Zbl 0770.90024
Guillemin, Fabrice; Boyer, Jacqueline; Dupuis, Alain
1
1992
all top 5

Cited by 243 Authors

21 Guillemin, Fabrice M.
10 Mazumdar, Ravi R.
9 van Leeuwaarden, Johan S. H.
8 Knessl, Charles
8 Mandjes, Michel Robertus Hendrikus
8 Zwart, Bert P.
6 El-hady, El-sayed
6 Morrison, John A.
6 Robert, Philippe
5 Brandt, Andreas
5 Brandt, Manfred
4 Löpker, Andreas H.
4 Malrieu, Florent
4 Ott, Teunis J.
4 Palmowski, Zbigniew
3 Boxma, Onno Johan
3 Crawford, Forrest W.
3 Dyszewski, Piotr
3 Fricker, Christine
3 Miyazawa, Masakiyo
3 Parthasarathy, Panamalai Ramarao
3 Piera, Francisco J.
3 Simonian, Alain D.
3 Zhao, Yiqiang Q.
2 Asmussen, Søren
2 Borst, Sem C.
2 Brzdęk, Janusz
2 Cominetti, Roberto
2 Corless, Martin J.
2 Dimitriou, Ioannis
2 Egorova, Regina
2 El-Taha, Muhammad
2 Evans, Steven Neil
2 Fralix, Brian H.
2 Graham, Carl
2 Grigorescu, Ilie
2 Kang, Min
2 Katehakis, Michael N.
2 Kella, Offer
2 Kim, Sunggon
2 Krell, Nathalie
2 Kulik, Rafał
2 Li, Hui
2 Lian, Zhaotong
2 Litvak, Nelly
2 Liu, Liming
2 Maulik, Krishanu
2 Poojary, Sudheer
2 Roijers, Frank
2 Sericola, Bruno
2 Sharma, Vinod Kumar
2 Shorten, Robert N.
2 Smit, Laurens C.
2 Spieksma, Floske M.
2 Stadje, Wolfgang
2 Suchard, Marc A.
2 Sudhesh, Ramupillai
2 Tibi, Danielle
2 Tsybakov, Boris S.
2 Vlasiou, Maria
2 Walraevens, Joris
2 Zhen, Qiang
2 Zitt, Pierre-André
1 Abdelkader, Yousry H.
1 Alsmeyer, Gerold
1 Altman, Eitan
1 Alwohaibi, Maram
1 Andersen, Lars Nørvang
1 Antunes, Nelson
1 Arunachalam, Viswanathan
1 Atar, Rami
1 Avrachenkov, Konstantin Evgen’evich
1 Azaïs, Romain
1 Badrinath, Vivek
1 Banderier, Cyril
1 Banik, Abhijit Datta
1 Bao, Jianhai
1 Bardet, Jean-Baptiste
1 Bardhan, Indrajit
1 Barles, Guy
1 Bean, Nigel G.
1 Bekker, René
1 Belomestny, Denis
1 Benaïm, Michel
1 Bogoyavlenskaya, O. Yu.
1 Bolaers, Fabrice
1 Bolzern, Paolo
1 Boucherie, Richard J.
1 Bouguet, Florian
1 Boyer, Jacqueline
1 Bruneel, Herwig
1 Chafaï, Djalil
1 Chiementin, Xavier
1 Chong, Edwin Kah Pin
1 Cloez, Bertrand
1 Cohen, Asaf
1 Colaneri, Patrizio
1 Comtet, Alain
1 Czapla, Dawid
1 Dai, Hongshuai
...and 143 more Authors
all top 5

Cited in 58 Serials

48 Queueing Systems
12 Stochastic Models
11 Journal of Applied Probability
10 Stochastic Processes and their Applications
9 Advances in Applied Probability
9 The Annals of Applied Probability
7 Probability in the Engineering and Informational Sciences
5 Mathematical Methods of Operations Research
3 Operations Research Letters
3 Top
2 Problems of Information Transmission
2 Theoretical Computer Science
2 American Journal of Mathematical and Management Sciences
2 Computers & Operations Research
2 Annals of Operations Research
2 Aequationes Mathematicae
2 Automation and Remote Control
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Mathematical Programming. Series A. Series B
2 Journal of the Egyptian Mathematical Society
2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
2 Methodology and Computing in Applied Probability
2 Advances in Operations Research
1 Computers & Mathematics with Applications
1 Discrete Mathematics
1 International Journal of Control
1 Journal of Mathematical Biology
1 Applied Mathematics and Optimization
1 Automatica
1 Journal of the American Statistical Association
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
1 Meccanica
1 Studies in Applied Mathematics
1 European Journal of Combinatorics
1 Statistics & Probability Letters
1 Probability Theory and Related Fields
1 Asia-Pacific Journal of Operational Research
1 Journal of Theoretical Probability
1 Applied Mathematics Letters
1 Journal of Applied Mathematics and Stochastic Analysis
1 Discrete Event Dynamic Systems
1 Communications in Statistics. Simulation and Computation
1 SIAM Journal on Applied Mathematics
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Difference Equations and Applications
1 Mathematical Problems in Engineering
1 European Journal of Control
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Abstract and Applied Analysis
1 Acta Mathematica Sinica. English Series
1 RAIRO. Operations Research
1 Dynamical Systems
1 Journal of Applied Mathematics
1 Journal of the Korean Statistical Society
1 Networks and Heterogeneous Media
1 Electronic Journal of Statistics
1 Science China. Mathematics

Citations by Year