# zbMATH — the first resource for mathematics

## Queueing Systems

### Theory and Applications

 Short Title: Queueing Syst. Publisher: Springer US, New York, NY ISSN: 0257-0130; 1572-9443/e Online: http://link.springer.com/journal/volumesAndIssues/11134 Comments: Indexed cover-to-cover
 Documents Indexed: 1,632 Publications (since 1986) References Indexed: 1,182 Publications with 27,793 References.
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#### Authors

 44 Boxma, Onno Johan 40 Whitt, Ward 33 Mandjes, Michel Robertus Hendrikus 27 Adan, Ivo J. B. F. 21 van Leeuwaarden, Johan S. H. 20 Knessl, Charles 20 Miyazawa, Masakiyo 20 Zwart, Bert P. 19 Kulkarni, Vidyadhar G. 18 Borst, Sem C. 18 Glynn, Peter W. 18 Kella, Offer 18 Takine, Tetsuya 16 Kim, Bara 15 Yechiali, Uri 14 Altman, Eitan 14 Baccelli, François Louis 14 Dai, J. G. (Jim) 14 Taylor, Peter Gerrard 14 Zhao, Yiqiang Q. 13 Brandt, Andreas 13 Foss, Sergey G. 13 Guillemin, Fabrice M. 13 Hasenbein, John J. 13 Sharma, Vinod Kumar 13 Stolyar, Alexander L. 12 Asmussen, Søren 12 Mandelbaum, Avi 11 Boucherie, Richard J. 11 Brandt, Manfred 11 Dębicki, Krzysztof 11 Morrison, John A. 11 Sigman, Karl 10 Ayhan, Hayriye 10 Chen, Hong 10 Choi, Bong Dae 10 Daduna, Hans 10 Kim, Jeongsim 10 Majewski, Kurt 10 Mazumdar, Ravi R. 10 Pang, Guodong 10 Perry, David 10 Stadje, Wolfgang 10 Ward, Amy R. 9 Bonald, Thomas 9 Buzacott, John Alan 9 Resing, Jacques A. C. 9 Righter, Rhonda 9 Scheller-Wolf, Alan 9 Serfozo, Richard F. 9 Stanford, David A. 9 Templeton, James G. C. 8 Alfa, Attahiru Sule 8 Andradóttir, Sigrún 8 Atar, Rami 8 Blanchet, Jose H. 8 Bramson, Maury D. 8 Chaudhry, Mohan L. 8 Economou, Antonis 8 Ganesh, Ayalvadi J. 8 He, Qi-Ming 8 Liu, Liming 8 Massoulié, Laurent 8 Meyn, Sean P. 8 Nain, Philippe 8 Prabhu, Narahari U 8 Robert, Philippe 8 Scheinhardt, Werner R. W. 8 Shanthikumar, Jeyaveerasingam George 8 Van der Mei, Robert Douwe 8 van Ommeren, Jan-Kees C. W. 7 Bertsimas, Dimitris John 7 Boon, Marko A. A. 7 Down, Douglas G. 7 Dudin, Alexander N. 7 Falin, Gennadi I. 7 Harrison, John Michael 7 Henderson, William 7 Janssen, Augustus Josephus Elizabeth Maria 7 Korshunov, Dmitry Alekseevich 7 Massey, William A. 7 Momčilović, Petar 7 Núñez-Queija, Rudesindo 7 Palmowski, Zbigniew 7 Rolski, Tomasz 7 Sidi, Moshe 7 Simatos, Florian 7 Stidham, Shaler jun. 7 Vlasiou, Maria 7 Walraevens, Joris 7 Weiss, Gideon 7 Zhang, Hanqin 7 Zhu, Yixin 6 Abate, Joseph 6 Anantharam, Venkat 6 Bhat, U. Narayan 6 Bruneel, Herwig 6 Disney, Ralph L. 6 Duffield, Nick G. 6 Dupuis, Paul G. ...and 1,315 more Authors
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#### Fields

 1,381 Probability theory and stochastic processes (60-XX) 1,315 Operations research, mathematical programming (90-XX) 304 Computer science (68-XX) 38 Systems theory; control (93-XX) 26 General and overarching topics; collections (00-XX) 26 Statistics (62-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 Numerical analysis (65-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 11 History and biography (01-XX) 9 Functions of a complex variable (30-XX) 9 Ordinary differential equations (34-XX) 9 Information and communication theory, circuits (94-XX) 6 Combinatorics (05-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Integral transforms, operational calculus (44-XX) 4 Biology and other natural sciences (92-XX) 3 Approximations and expansions (41-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Fluid mechanics (76-XX)

#### Citations contained in zbMATH Open

1,341 Publications have been cited 11,917 times in 5,332 Documents Cited by Year
Queueing systems with vacations - a survey. Zbl 0655.60089
Doshi, B. T.
1986
A survey of retrial queues. Zbl 0709.60097
1990
A survey on retrial queues. Zbl 0658.60124
Yang, Tao; Templeton, J. G. C.
1987
The Fourier-series method for inverting transforms of probability distributions. Zbl 0749.60013
Abate, Joseph; Whitt, Ward
1992
Manufacturing flow line systems: A review of models and analytical results. Zbl 0782.90048
Dallery, Yves; Gershwin, Stanley B.
1992
Strong approximation for Markovian service networks. Zbl 0911.90167
Mandelbaum, Avi; Massey, William A.; Reiman, Martin I.
1998
Numerical investigation of a multiserver retrial model. Zbl 0711.60094
Neuts, Marcel F.; Rao, B. M.
1990
State space collapse with application to heavy traffic limits for multiclass queueing networks. Zbl 0911.90162
Bramson, Maury
1998
Polling systems and multitype branching processes. Zbl 0772.60069
Resing, J. A. C.
1993
A storage model with self-similar input. Zbl 0811.68059
Norros, Ilkka
1994
A diffusion approximation for a Markovian queue with reneging. Zbl 1054.60100
Ward, Amy R.; Glynn, Peter W.
2003
Diffusion approximations for open multiclass queueing networks: Sufficient conditions involving state space collapse. Zbl 0911.90171
Williams, R. J.
1998
Design of manufacturing systems using queueing models. Zbl 0769.90043
Buzacott, John A.; Shanthikumar, J. George
1992
Reliability analysis of the retrial queue with server breakdowns and repairs. Zbl 1028.90014
Wang, Jinting; Cao, Jinhua; Li, Quanlin
2001
Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory. Zbl 1107.60060
Klimenok, Valentina; Dudin, Alexander
2006
Workloads and waiting times in single-server systems with multiple customer classes. Zbl 0681.60098
Boxma, O. J.
1989
Call centers with impatient customers: Many-server asymptotics of the M/M/$$n+G$$ queue. Zbl 1085.60072
Zeltyn, Sergey; Mandelbaum, Avishai
2005
Heavy traffic resource pooling in parallel-server systems. Zbl 0997.60108
Harrison, J. Michael; López, Marcel J.
1999
Retrial queues with server subject to breakdowns and repairs. Zbl 0727.60110
Kulkarni, V. G.; Choi, Bong Dae
1990
Retrial queues with collision arising from unslotted CSMA/CD protocol. Zbl 0762.60088
Choi, Bong Dae; Shin, Yang Woo; Ahn, Wi Chong
1992
A retrial BMAP/PH/N system. Zbl 1169.90335
Breuer, Lothar; Dudin, Alexander; Klimenok, Valentina
2002
Equilibrium customer strategies in a single server Markovian queue with setup times. Zbl 1124.60069
Burnetas, Apostolos; Economou, Antonis
2007
Analysis of customers’ impatience in queues with server vacations. Zbl 1114.90015
Altman, Eitan; Yechiali, Uri
2006
Processor-sharing queues: Some progress in analysis. Zbl 0648.68050
Yashkov, S. F.
1987
Networks of infinite-server queues with nonstationary Poisson input. Zbl 0778.60068
Massey, William A.; Whitt, Ward
1993
Queues with system disasters and impatient customers when system is down. Zbl 1124.60076
Yechiali, Uri
2007
Single line queue with repeated demands. Zbl 0712.60100
Farahmand, F.
1990
Asymptotics for M/G/1 low-priority waiting-time tail probabilities. Zbl 0894.60088
Abate, Joseph; Whitt, Ward
1997
The transform likelihood ratio method for rare event simulation with heavy tails. Zbl 1061.90032
Kroese, D. P.; Rubinstein, R. Y.
2004
A diffusion approximation for a GI/GI/1 queue with balking or reneging. Zbl 1094.60064
Ward, Amy R.; Glynn, Peter W.
2005
A survey of Markov decision models for control of networks of queues. Zbl 0772.90082
Stidham, Shaler jun.; Weber, Richard
1993
An M/G/1 queue with second optional service. Zbl 0942.90008
2000
Modeling teletraffic arrivals by a Poisson cluster process. Zbl 1119.60075
Faÿ, Gilles; González-Arévalo, Bárbara; Mikosch, Thomas; Samorodnitsky, Gennady
2006
Properties of the reflected Ornstein-Uhlenbeck process. Zbl 1026.60106
Ward, Amy R.; Glynn, Peter W.
2003
The M/G/1 retrial queue with Bernoulli schedule. Zbl 0706.60089
Choi, Bong Dae; Park, Kwang Kyu
1990
On the steady-state queue size distribution of the discrete-time $$\text{Geo}/G/1$$ queue with repeated customers. Zbl 0840.60085
Yang, Tao; Li, Hui
1995
Brownian models of multiclass queueing networks: Current status and open problems. Zbl 0781.60090
Harrison, J. Michael; Nguyen, Viên
1993
On queueing network models of flexible manufacturing systems. Zbl 0649.90061
Buzacott, J. A.; Yao, D. D.
1986
On the single server retrial queue with priority customers. Zbl 0790.60076
Falin, G. I.; Artalejo, J. R.; Martin, M.
1993
On the M/M/1 queue with catastrophes and its continuous approximation. Zbl 1016.60080
Di Crescenzo, A.; Giorno, V.; Nobile, A. G.; Ricciardi, L. M.
2003
Structural results for the control of queueing systems using event-based dynamic programming. Zbl 0917.90136
Koole, Ger
1998
Discrete time geo$$/G/1$$ queue with multiple adaptive vacations. Zbl 1079.90525
Zhang, Zhe George; Tian, Naishuo
2001
On the single server retrial queue subject to breakdowns. Zbl 0918.90073
Aissani, A.; Artalejo, J. R.
1998
$$M/M/1$$ queueing systems with inventory. Zbl 1137.90429
Schwarz, Maike; Sauer, Cornelia; Daduna, Hans; Kulik, Rafal; Szekli, Ryszard
2006
Bayesian prediction in $$M/M/1$$ queues. Zbl 0789.60072
Armero, C.; Bayarri, M. J.
1994
An M$$^{X}$$/G/1 queueing system with a setup period and a vacation period. Zbl 0966.60100
Choudhury, Gautam
2000
Re-entrant lines. Zbl 0772.90049
Kumar, P. R.
1993
Time dependent analysis of finite buffer fluid flows and risk models with a dividend barrier. Zbl 1124.60067
Ahn, Soohan; Badescu, Andrei L.; Ramaswami, V.
2007
Monotonicity and stability of periodic polling models. Zbl 0789.60092
Fricker, C.; Jaïbi, M. R.
1994
A hard-core model on a Cayley tree: an example of a loss network. Zbl 1139.90338
Suhov, Y.; Rozikov, U. A.
2004
Single-server queue with Markov-dependent inter-arrival and service times. Zbl 1036.90029
Adan, I. J. B. F.; Kulkarni, V. G.
2003
Markov-modulated queueing systems. Zbl 0694.60087
Prabhu, N. U.; Zhu, Yixin
1989
An invariance principle for semimartingale reflecting Brownian motions in an orthant. Zbl 0911.90170
Williams, R. J.
1998
Simulation methodology - an introduction for queueing theorists. Zbl 0665.65100
Ripley, B. D.
1988
Dynamic routing in large-scale service systems with heterogeneous servers. Zbl 1094.60058
Armony, Mor
2005
A single server Poisson input queue with a second optional channel. Zbl 1011.60072
Medhi, J.
2002
Nonstationary queues: estimation of the rate of convergence. Zbl 1056.90030
Granovsky, Boris L.; Zeifman, A.
2004
Tail asymptotics for the supremum of a random walk when the mean is not finite. Zbl 1056.90028
Denisov, Denis; Foss, Serguei; Korshunov, Dima
2004
A review of $$L=\lambda W$$ and extensions. Zbl 0727.60112
Whitt, Ward
1991
Appendix: A primer on heavy-tailed distributions. Zbl 0997.60118
Sigman, Karl
1999
Heavy traffic limits for queues with many deterministic servers. Zbl 1048.60069
Jelenković, Predrag; Mandelbaum, Avishai; Momčilović, Petar
2004
Rejection rules in the $$M/G/1$$ queue. Zbl 0835.60080
Perry, David; Asmussen, Søren
1995
Effective bandwidths at multi-class queues. Zbl 0737.60084
Kelly, F. P.
1991
Queues with workload-dependent arrival and service rates. Zbl 1056.90026
Bekker, R.; Borst, S. C.; Boxma, O. J.; Kella, O.
2004
Stochastic decomposition in M/M/$${\infty}$$ queues with Markov modulated service rates. Zbl 1059.60093
Baykal-Gursoy, Melike; Xiao, Weihua
2004
Transient behavior of the M/M/1 queue: Starting at the origin. Zbl 0671.60082
Abate, Joseph; Whitt, Ward
1987
Two-parameter heavy-traffic limits for infinite-server queues. Zbl 1231.60100
Pang, Guodong; Whitt, Ward
2010
Some universal limits for nonhomogeneous birth and death processes. Zbl 1119.60071
Zeifman, A.; Leorato, S.; Orsingher, E.; Satin, Ya.; Shilova, G.
2006
Operating characteristics of $$M^ X/G/1$$ queue with $$N$$-policy. Zbl 0789.60081
Lee, Ho Woo; Lee, Soon Seok; Chae, Kyung C.
1994
A heavy-traffic analysis of a closed queueing system with a $$GI/\infty$$ service center. Zbl 0892.60090
Krichagina, E. V.; Puhalskii, A. A.
1997
A discrete-time $$Geo/G/1$$ retrial queue with general retrial times. Zbl 1059.60092
Atencia, Ivan; Moreno, Pilar
2004
A retrial BMAP/SM/1 system with linear repeated requests. Zbl 0942.90007
Dudin, Alexander; Klimenok, Valentina
2000
Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling. Zbl 0772.60068
Kelly, F. P.; Laws, C. N.
1993
Generalized $$M/G/C/C$$ state dependent queueing models and pedestrian traffic flows. Zbl 0797.90028
Cheah, Jen Yeng; MacGregor Smith, J.
1994
Sojourn time asymptotics in the $$M/G/1$$ processor sharing queue. Zbl 0997.90024
Zwart, A. P.; Boxma, O. J.
2000
Ergodicity of the BMAP/PH/s/s+K retrial queue with PH-retrial times. Zbl 0960.90017
He, Qi-Ming; Li, Hui; Zhao, Yiqiang Q.
2000
Insensitive bandwidth sharing in data networks. Zbl 1023.90003
Bonald, T.; Proutière, A.
2003
Analysis of Markov multiserver retrial queues with negative arrivals. Zbl 0987.60097
Anisimov, Vladimir V.; Artalejo, Jesus R.
2001
Discrete-time GI/Geo/1 queue with multiple working vacations. Zbl 1177.90095
Li, Ji-Hong; Tian, Nai-Shuo; Liu, Wen-Yuan
2007
Asymptotic independence of queues under randomized load balancing. Zbl 1275.60071
Bramson, Maury; Lu, Yi; Prabhakar, Balaji
2012
Waiting-time tail probabilities in queues with long-tail service-time distributions. Zbl 0805.60097
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
1994
The QNET method for two-moment analysis of open queueing networks. Zbl 0702.60082
Harrison, J. Michael; Nguyen, Vien
1990
Analysis of the asymmetric shortest queue problem. Zbl 0719.60107
Adan, I. J. B. F.; Wessels, J.; Zijm, W. H. M.
1991
Large deviations behavior of counting processes and their inverses. Zbl 0805.60023
Glynn, Peter W.; Whitt, Ward
1994
An $$M/M/1$$ retrial queue with control policy and general retrial times. Zbl 0792.60089
Choi, Bong Dae; Park, Kwang Kyu; Pearce, C. E. M.
1993
A tandem queue with blocking and Markovian arrival process. Zbl 0993.90024
Gómez-Corral, A.
2002
Scheduling networks of queues: Heavy traffic analysis of a simple open network. Zbl 0684.90034
Harrison, J. Michael; Wein, Lawrence M.
1989
How large delays build up in a GI/G/1 queue. Zbl 0695.60092
Anantharam, V.
1989
Approximation with generalized hyperexponential distributions: Weak convergence results. Zbl 0655.60012
Botta, R. F.; Harris, C. M.
1986
A queueing analysis of max-min fairness, proportional fairness and balanced fairness. Zbl 1114.90016
Bonald, T.; Massoulié, L.; Proutière, A.; Virtamo, J.
2006
Gaussian skewness approximation for dynamic rate multi-server queues with abandonment. Zbl 1285.60091
Massey, William A.; Pender, Jamol
2013
The discrete-time GI/Geo/1 queue with multiple vacations. Zbl 0993.90029
Tian, Naishuo; Zhang, Zhe George
2002
Convergence to equilibria for fluid models of FIFO queueing networks. Zbl 0851.90044
Bramson, Maury
1996
The GI/M/1 queue with exponential vacations. Zbl 0684.60072
Tian, Naishou; Zhang, Daqing; Cao, Chengxuan
1989
$$M/G/1$$ retrial queueing systems with two types of calls and finite capacity. Zbl 0836.60100
Choi, Bong Dae; Choi, Ki Bong; Lee, Yong Wan
1995
Stability, monotonicity and invariant quantities in general polling systems. Zbl 0752.60070
Altman, Eitan; Konstantopoulos, Panagiotis; Liu, Zhen
1992
Analysis of queueing systems with synchronous single vacation for some servers. Zbl 1036.90033
Zhang, Zhe G.; Tian, Naishuo
2003
On the stability of a partially accessible multi-station queue with state-dependent routing. Zbl 0915.60089
Foss, Serguei; Chernova, Natalia
1998
On the modification of Rouche’s theorem for the queueing theory problems. Zbl 1079.90523
Klimenok, V.
2001
$$M/M/\infty$$ queues in semi-Markovian random environment. Zbl 1140.60343
D’Auria, B.
2008
Stein’s method for diffusive limits of queueing processes. Zbl 1461.60071
Besançon, Eustache; Decreusefond, Laurent; Moyal, Pascal
2020
On a queueing-inventory system with advanced reservation and cancellation for the next $$K$$ time frames ahead: the case of overbooking. Zbl 1432.60086
Shajin, Dhanya; Krishnamoorthy, A.; Dudin, A. N.; Joshua, Varghese C.; Jacob, Varghese
2020
Analysis of the shortest relay queue policy in a cooperative random access network with collisions. Zbl 1431.60116
Saxena, M.; Dimitriou, I.; Kapodistria, S.
2020
Necessary conditions for the compensation approach for a random walk in the quarter-plane. Zbl 1434.60182
Chen, Yanting; Boucherie, Richard J.; Goseling, Jasper
2020
Algorithms for the upper bound mean waiting time in the $$\mathrm{GI}/\mathrm{GI}/1$$ queue. Zbl 1434.90039
Chen, Yan; Whitt, Ward
2020
Stationary distributions and convergence for $$M/M/1$$ queues in interactive random environment. Zbl 1439.60088
Pang, Guodong; Sarantsev, Andrey; Belopolskaya, Yana; Suhov, Yuri
2020
An alternative approach to heavy-traffic limits for finite-pool queues. Zbl 1461.60072
Bet, G.
2020
Limiting the oscillations in queues with delayed information through a novel type of delay announcement. Zbl 1455.34086
Novitzky, Sophia; Pender, Jamol; Rand, Richard H.; Wesson, Elizabeth
2020
Product forms for FCFS queueing models with arbitrary server-job compatibilities: an overview. Zbl 1461.60078
Gardner, Kristen; Righter, Rhonda
2020
Discrete-time queue with batch renewal input and random serving capacity rule: $$GI^X/ Geo^Y/1$$. Zbl 1466.60186
Barbhuiya, F. P.; Gupta, U. C.
2019
Redundancy scheduling with scaled Bernoulli service requirements. Zbl 07165571
Raaijmakers, Youri; Borst, Sem; Boxma, Onno
2019
Reward maximization in general dynamic matching systems. Zbl 1437.60070
2019
Exact tail asymptotics for fluid models driven by an M/M/c queue. Zbl 1466.60189
Li, Wendi; Liu, Yuanyuan; Zhao, Yiqiang Q.
2019
Marked point processes in discrete time. Zbl 1427.60060
Sigman, Karl; Whitt, Ward
2019
Strategic customer behavior in a two-stage batch processing system. Zbl 1431.90046
Bountali, Olga; Economou, Antonis
2019
A central-limit-theorem version of the periodic Little’s law. Zbl 1450.60023
Whitt, Ward; Zhang, Xiaopei
2019
Diffusion approximations for double-ended queues with reneging in heavy traffic. Zbl 1442.60094
Liu, Xin
2019
Pollaczek contour integrals for the fixed-cycle traffic-light queue. Zbl 1467.60070
Boon, M. A. A.; Janssen, A. J. E. M.; van Leeuwaarden, J. S. H.; Timmerman, R. W.
2019
Discrete-time modified number- and time-limited vacation queues. Zbl 1466.60187
Claeys, Dieter; De Vuyst, Stijn
2019
On the distributions of infinite server queues with batch arrivals. Zbl 1466.60188
Daw, Andrew; Pender, Jamol
2019
Strategic arrivals to queues offering priority service. Zbl 1429.91082
Talak, Rajat; Manjunath, D.; Proutiere, Alexandre
2019
Information heterogeneity in a retrial queue: throughput and social welfare maximization. Zbl 1427.60192
Wang, Zhongbin; Wang, Jinting
2019
A sequential update algorithm for computing the stationary distribution vector in upper block-Hessenberg Markov chains. Zbl 1427.60157
Masuyama, Hiroyuki
2019
The age-dependent random connection model. Zbl 1432.60090
Gracar, Peter; Grauer, Arne; Lüchtrath, Lukas; Mörters, Peter
2019
Large deviations of bivariate Gaussian extrema. Zbl 1432.60038
van der Hofstad, Remco; Honnappa, Harsha
2019
Asymptotic independence of regenerative processes with a special dependence structure. Zbl 1431.60105
Jacobovic, Royi; Kella, Offer
2019
Functional central limit theorems for stationary Hawkes processes and application to infinite-server queues. Zbl 1418.60024
Gao, Xuefeng; Zhu, Lingjiong
2018
Sharing delay information in service systems: a literature survey. Zbl 1405.90005
Ibrahim, Rouba
2018
Exact asymptotic formulae of the stationary distribution of a discrete-time two-dimensional QBD process. Zbl 1418.60108
Ozawa, Toshihisa; Kobayashi, Masahiro
2018
Discretization error for a two-sided reflected Lévy process. Zbl 1408.60036
Asmussen, Søren; Ivanovs, Jevgenijs
2018
The state-dependent $$\mathrm{M}/\mathrm{G}/1$$ queue with orbit. Zbl 1418.60114
Baron, Opher; Economou, Antonis; Manou, Athanasia
2018
Robust transient analysis of multi-server queueing systems and feed-forward networks. Zbl 1397.90104
Bandi, Chaithanya; Bertsimas, Dimitris; Youssef, Nataly
2018
Time-varying tandem queues with blocking: modeling, analysis, and operational insights via fluid models with reflection. Zbl 1408.60090
Zychlinski, Noa; Mandelbaum, Avishai; Momčilović, Petar
2018
Many-server Gaussian limits for overloaded non-Markovian queues with customer abandonment. Zbl 1408.60081
Aras, A. Korhan; Chen, Xinyun; Liu, Yunan
2018
Dynamic rate Erlang-A queues. Zbl 1408.60085
Massey, William A.; Pender, Jamol
2018
On the rate of convergence to equilibrium for reflected Brownian motion. Zbl 1408.60019
Glynn, Peter W.; Wang, Rob J.
2018
Stability and busy periods in a multiclass queue with state-dependent arrival rates. Zbl 1418.90086
Ernst, Philip A.; Asmussen, Søren; Hasenbein, John J.
2018
Optimal heavy-traffic queue length scaling in an incompletely saturated switch. Zbl 1390.60331
Maguluri, Siva Theja; Burle, Sai Kiran; Srikant, R.
2018
Large deviations in relay-augmented wireless networks. Zbl 1390.60108
Hirsch, Christian; Jahnel, Benedikt; Keeler, Paul; Patterson, Robert
2018
A broad view of queueing theory through one issue. Zbl 1408.60088
Whitt, Ward
2018
Many-server scaling of the N-system under FCFS-ALIS. Zbl 1390.60338
Zhan, Dongyuan; Weiss, Gideon
2018
Queueing for an infinite bus line and aging branching process. Zbl 1390.60319
Bansaye, Vincent; Camanes, Alain
2018
Stationary analysis of a single queue with remaining service time-dependent arrivals. Zbl 1387.90066
Legros, Benjamin; Sezer, Ali Devin
2018
Perfect sampling of GI/GI/$$c$$ queues. Zbl 1418.60115
Blanchet, Jose; Dong, Jing; Pei, Yanan
2018
Robust heavy-traffic approximations for service systems facing overdispersed demand. Zbl 1418.60118
Mathijsen, Britt W. J.; Janssen, A. J. E. M.; van Leeuwaarden, Johan S. H.; Zwart, Bert
2018
Queuing network models for panel sizing in oncology. Zbl 1415.60101
Vanberkel, Peter T.; Litvak, Nelly; Puterman, Martin L.; Tyldesley, Scott
2018
On a multivariate renewal-reward process involving time delays and discounting: applications to IBNR processes and infinite server queues. Zbl 1418.60037
Rabehasaina, Landy; Woo, Jae-Kyung
2018
Asymptotics of insensitive load balancing and blocking phases. Zbl 1390.60325
Jonckheere, Matthieu; Prabhu, Balakrishna J.
2018
Probabilistic selfish routing in parallel batch and single-server queues. Zbl 1390.90264
Wang, A.; Ziedins, I.
2018
Heavy traffic limit for a tandem queue with identical service times. Zbl 1396.60095
Gromoll, H. Christian; Terwilliger, Bryce; Zwart, Bert
2018
M/G/$$1$$ queue with event-dependent arrival rates. Zbl 1397.90122
Legros, Benjamin
2018
Analysis of $$M^{ X}/ G/1$$ queues with impatient customers. Zbl 1396.60096
Inoue, Yoshiaki; Boxma, Onno; Perry, David; Zacks, Shelley
2018
Networks of $$\cdot /\mathrm{G}/\infty$$ queues with shot-noise-driven arrival intensities. Zbl 1390.60327
Koops, D. T.; Boxma, O. J.; Mandjes, M. R. H.
2017
Pull-based load distribution among heterogeneous parallel servers: the case of multiple routers. Zbl 1366.90026
Stolyar, Alexander L.
2017
Heavy-traffic limits for an infinite-server fork-join queueing system with dependent and disruptive services. Zbl 1367.60116
Lu, Hongyuan; Pang, Guodong
2017
Fitting correlated arrival and service times and related queueing performance. Zbl 1371.60159
Buchholz, Peter; Kriege, Jan
2017
Fluid and diffusion approximations of probabilistic matching systems. Zbl 1373.60151
Büke, Burak; Chen, Hanyi
2017
Mutual service processes in Euclidean spaces: existence and ergodicity. Zbl 1373.60021
Baccelli, François; Mathieu, Fabien; Norros, Ilkka
2017
Stationary analysis of the shortest queue problem. Zbl 1377.60085
Dester, Plinio S.; Fricker, Christine; Tibi, Danielle
2017
Performance analysis of polling systems with retrials and glue periods. Zbl 1377.60083
Abidini, Murtuza Ali; Boxma, Onno; Kim, Bara; Kim, Jeongsim; Resing, Jacques
2017
Stability of a two-queue cyclic polling system with BMAPs under gated service and state-dependent time-limited service disciplines. Zbl 1367.60110
Cao, Jianyu; Xie, Weixin
2017
The analysis of batch sojourn-times in polling systems. Zbl 1370.60184
van der Gaast, Jelmer P.; Adan, Ivo J. B. F.; de Koster, René B. M.
2017
Time-dependent analysis of an $$\mathrm{M}/\mathrm{M}/c$$ preemptive priority system with two priority classes. Zbl 1377.60087
Selen, Jori; Fralix, Brian
2017
Batch arrival single-server queue with variable service speed and setup time. Zbl 1395.60109
Yajima, Moeko; Phung-Duc, Tuan
2017
Strategic customer behavior in a queueing system with delayed observations. Zbl 1382.60115
Burnetas, Apostolos; Economou, Antonis; Vasiliadis, George
2017
A rate balance principle and its application to queueing models. Zbl 1391.60074
Oz, Binyamin; Adan, Ivo; Haviv, Moshe
2017
Optimality of the generalized $$c\mu$$ rule in the moderate deviation regime. Zbl 1388.90036
Atar, Rami; Saha, Subhamay
2017
Analysis of Jackson networks with infinite supply and unreliable nodes. Zbl 1396.90011
Sommer, Jennifer; Berkhout, Joost; Daduna, Hans; Heidergott, Bernd
2017
Choosing among heterogeneous server clouds. Zbl 1368.60100
Karthik, A.; Mukhopadhyay, Arpan; Mazumdar, Ravi R.
2017
An equilibrium analysis of a discrete-time Markovian queue with endogenous abandonments. Zbl 1370.60159
Ata, Baris; Glynn, Peter W.; Peng, Xiaoshan
2017
Parisian ruin in the dual model with applications to the $$G/M/1$$ queue. Zbl 1395.60107
2017
On non-equilibria threshold strategies in ticket queues. Zbl 1382.60117
Kerner, Yoav; Sherzer, Eliran; Yanco, Mor Ann
2017
Personalized queues: the customer view, via a fluid model of serving least-patient first. Zbl 1388.90042
Mandelbaum, Avishai; Momčilović, Petar
2017
Managing capacity and inventory jointly for multi-server make-to-stock queues. Zbl 1370.60180
Reed, Josh; Zhang, Bo
2017
An asymptotic approximation for TCP compound. Zbl 1409.68062
Poojary, Sudheer; Sharma, Vinod
2017
Large deviations for the total queue size in non-Markovian tandem queues. Zbl 1371.60160
Buijsrogge, Anne; de Boer, Pieter-Tjerk; Rosen, Karol; Scheinhardt, Werner
2017
Matrix-analytic solution of infinite, finite and level-dependent second-order fluid models. Zbl 1377.60086
Horváth, Gábor; Telek, Miklós
2017
A single-server queue with batch arrivals and semi-Markov services. Zbl 1395.60105
Abhishek; Boon, Marko A. A.; Boxma, Onno J.; Núñez-Queija, Rudesindo
2017
Queue-length balance equations in multiclass multiserver queues and their generalizations. Zbl 1382.60114
Boon, Marko A. A.; Boxma, Onno J.; Kella, Offer; Miyazawa, Masakiyo
2017
Staffing large-scale service systems with distributional uncertainty. Zbl 1388.90037
Chen, Ying; Hasenbein, John J.
2017
Customer equilibrium in a single-server system with virtual and system queues. Zbl 1388.90039
Engel, Roei; Hassin, Refael
2017
State-dependent $$\mathrm{M}/\mathrm{G}/1$$ queueing systems. Zbl 1334.60187
Abouee-Mehrizi, Hossein; Baron, Opher
2016
Queueing with redundant requests: exact analysis. Zbl 1351.60122
Gardner, Kristen; Zbarsky, Samuel; Doroudi, Sherwin; Harchol-Balter, Mor; Hyytiä, Esa; Scheller-Wolf, Alan
2016
Sufficient stability conditions for multi-class constant retrial rate systems. Zbl 1334.60190
Avrachenkov, K.; Morozov, E.; Steyaert, B.
2016
Comparisons of ticket and standard queues. Zbl 1348.60130
Jennings, Otis B.; Pender, Jamol
2016
Steady-state analysis of shortest expected delay routing. Zbl 1386.60314
Selen, Jori; Adan, Ivo; Kapodistria, Stella; van Leeuwaarden, Johan
2016
Robust queueing theory: an initial study using imprecise probabilities. Zbl 1334.60199
Lopatatzidis, Stavros; De Bock, Jasper; de Cooman, Gert; De Vuyst, Stijn; Walraevens, Joris
2016
Optimal pricing for a $$\mathrm{GI}/\mathrm{M}/k/N$$ queue with several customer types and holding costs. Zbl 1334.60194
Feinberg, Eugene A.; Yang, Fenghsu
2016
Queue-proportional rate allocation with per-link information in multihop wireless networks. Zbl 1349.68040
Li, Bin; Srikant, R.
2016
Optimality gap of asymptotically derived prescriptions in queueing systems, $$o(1)$$-optimality. Zbl 1342.60158
Randhawa, Ramandeep S.
2016
Waiting times in classical priority queues via elementary lattice path counting. Zbl 1386.90032
van Vianen, Lars A.; Gabor, Adriana F.; van Ommeren, Jan-Kees
2016
A large deviations principle for infinite-server queues in a random environment. Zbl 1334.60198
Jansen, H. M.; Mandjes, M. R. H.; De Turck, K.; Wittevrongel, S.
2016
Invariant measures and error bounds for random walks in the quarter-plane based on sums of geometric terms. Zbl 1348.60068
Chen, Yanting; Boucherie, Richard J.; Goseling, Jasper
2016
Analysis and computation of the stationary distribution in a special class of Markov chains of level-dependent $$\mathrm{M}/\mathrm{G}/1$$-type and its application to $$\mathrm{BMAP}/\mathrm{M}/\infty$$ and $$\mathrm{BMAP}/\mathrm{M}/c+\mathrm{M}$$ queues. Zbl 1348.60134
Takine, Tetsuya
2016
Transient and steady-state regime of a family of list-based cache replacement algorithms. Zbl 1349.68038
Gast, Nicolas; Van Houdt, Benny
2016
On the non-Markovian multiclass queue under risk-sensitive cost. Zbl 1386.60098
Atar, Rami; Mendelson, Gal
2016
A functional central limit theorem for Markov additive arrival processes and its applications to queueing systems. Zbl 1386.60123
Lu, Hongyuan; Pang, Guodong; Mandjes, Michel
2016
The analysis of cyclic stochastic fluid flows with time-varying transition rates. Zbl 1332.76041
Margolius, Barbara; O&rsquo;Reilly, Małgorzata M.
2016
Analytically elegant and computationally efficient results in terms of roots for the $$\mathrm{GI}^X/\mathrm{M}/c$$ queueing system. Zbl 1334.60193
Chaudhry, Mohan L.; Kim, James J.
2016
Correction to “Queue-proportional rate allocation with per-link information in multihop wireless networks”. Zbl 1349.68039
Li, Bin; Srikant, R.
2016
...and 1241 more Documents
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#### Cited by 4,664 Authors

 98 Mandjes, Michel Robertus Hendrikus 81 Boxma, Onno Johan 78 Whitt, Ward 59 Ke, Jauchuan 55 Adan, Ivo J. B. F. 53 Dudin, Alexander N. 52 Bruneel, Herwig 47 Kim, Bara 47 Zwart, Bert P. 44 van Leeuwaarden, Johan S. H. 42 Gupta, Umesh Chandra 40 Krishnamoorthy, Achyutha 36 Miyazawa, Masakiyo 35 Klimenok, Valentina Ivanovna 35 Perry, David 34 Artalejo, Jesus R. 34 Kim, Jeongsim 34 Knessl, Charles 34 Wang, Jinting 32 Borst, Sem C. 32 Foss, Sergey G. 32 Walraevens, Joris 32 Yechiali, Uri 31 Chaudhry, Mohan L. 30 Glynn, Peter W. 30 Kella, Offer 30 Liu, Zaiming 30 Zeifman, Alexander Izrailevich 30 Zhao, Yiqiang Q. 29 Lee, Ho Woo 28 Asmussen, Søren 28 Guillemin, Fabrice M. 27 Dębicki, Krzysztof 26 Stadje, Wolfgang 25 Atar, Rami 25 Blanchet, Jose H. 25 Choudhury, Gautam 25 Economou, Antonis 25 Fiems, Dieter 24 Alfa, Attahiru Sule 24 Banik, Abhijit Datta 24 Boucherie, Richard J. 24 Dudin, Sergey A. 24 Kim, Chesoong 24 Pang, Guodong 24 Stolyar, Alexander L. 23 Aissani, Djamil 23 Kulkarni, Vidyadhar G. 22 Phung-Duc, Tuan 22 Ramanan, Kavita 22 Steyaert, Bart 22 Van der Mei, Robert Douwe 21 Li, Quanlin 21 Pender, Jamol 21 Tang, Yinghui 20 Altman, Eitan 20 Liu, Liwei 20 Rozikov, Utkir A. 20 Wittevrongel, Sabine 19 Dai, J. G. (Jim) 19 Takine, Tetsuya 19 Tian, Naishuo 19 Winands, Erik M. M. 18 Chae, Kyung Chul 18 Dudina, Olga S. 18 Kumar, B. Krishna 18 Shin, Yang Woo 18 Wang, Kuo-Hsiung 17 Claeys, Dieter 17 Cruz, Frederico R. B. 17 Gao, Shan 17 Goswami, Veena 17 Lee, Chihoon 17 Mandelbaum, Avi 17 Mazumdar, Ravi R. 17 Palmowski, Zbigniew 17 Wu, Jinbiao 16 Ayhan, Hayriye 16 Chakravarthy, Srinivas R. 16 Daduna, Hans 16 Dshalalow, Jewgeni H. 16 Guo, Yongjiang 16 He, Qi-Ming 16 Jiang, Tao 16 Nobile, Amelia G. 16 Taylor, Peter Gerrard 16 van Dijk, Nico M. 16 Weiss, Gideon 15 Ayesta, Urtzi 15 Choi, Bong Dae 15 De Turck, Koen 15 Down, Douglas G. 15 Harrison, John Michael 15 Nazarov, Anatoly A. 15 Vlasiou, Maria 15 Wang, Yongjin 15 Williams, Ruth J. 14 Ahn, Soohan 14 Andradóttir, Sigrún 14 Budhiraja, Amarjit S. ...and 4,564 more Authors
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#### Cited in 368 Journals

 837 Queueing Systems 358 European Journal of Operational Research 233 Operations Research Letters 209 Annals of Operations Research 194 Stochastic Models 166 The Annals of Applied Probability 147 Probability in the Engineering and Informational Sciences 145 Computers & Operations Research 136 Journal of Applied Probability 117 Advances in Applied Probability 107 Applied Mathematical Modelling 99 Stochastic Processes and their Applications 80 Applied Mathematics and Computation 71 Mathematical Methods of Operations Research 70 Methodology and Computing in Applied Probability 67 Opsearch 65 Mathematical and Computer Modelling 64 Stochastic Systems 62 Statistics & Probability Letters 61 Operations Research 57 Computers & Mathematics with Applications 55 Mathematical Problems in Engineering 54 Automation and Remote Control 50 Top 49 Journal of Industrial and Management Optimization 46 Stochastic Analysis and Applications 45 Mathematics of Operations Research 41 Asia-Pacific Journal of Operational Research 41 Discrete Event Dynamic Systems 41 RAIRO. Operations Research 40 Insurance Mathematics & Economics 37 Journal of Computational and Applied Mathematics 34 Journal of Mathematical Sciences (New York) 33 International Journal of Production Research 31 Cybernetics and Systems Analysis 30 Journal of Statistical Planning and Inference 24 Journal of Mathematical Analysis and Applications 24 Naval Research Logistics 24 Journal of Systems Science and Complexity 23 Acta Mathematicae Applicatae Sinica. English Series 23 Communications in Statistics. Theory and Methods 21 Bernoulli 20 Journal of Statistical Physics 18 The Annals of Probability 18 Journal of the Korean Statistical Society 17 Scandinavian Actuarial Journal 17 OR Spectrum 17 Journal of Applied Mathematics and Computing 16 International Journal of Computer Mathematics 15 Lithuanian Mathematical Journal 15 INFORMS Journal on Computing 14 Linear Algebra and its Applications 14 International Journal of Applied Mathematics and Computer Science 13 Advances in Operations Research 13 International Journal of Applied and Computational Mathematics 12 Automatica 12 Acta Applicandae Mathematicae 12 Journal of Theoretical Probability 11 Problems of Information Transmission 11 Journal of Optimization Theory and Applications 11 Communications in Statistics. Simulation and Computation 11 Extremes 10 International Journal of Systems Science 10 Theoretical Computer Science 10 Optimization 10 Discrete Dynamics in Nature and Society 10 International Journal of Stochastic Analysis 9 Theoretical and Mathematical Physics 9 Theory of Probability and its Applications 9 Theoretical Population Biology 9 Applied Stochastic Models in Business and Industry 9 Journal of Applied Mathematics 9 4OR 9 International Journal of Systems Science. Principles and Applications of Systems and Integration 8 Quantitative Finance 8 Applications and Applied Mathematics 8 Frontiers of Mathematics in China 8 Operational Research. An International Journal 8 Science China. Mathematics 7 Mathematics and Computers in Simulation 7 OR Spektrum 7 Stochastics 7 Journal of Probability and Statistics 7 Statistics and Computing 6 Journal of Mathematical Biology 6 Journal of Computer and System Sciences 6 Kybernetika 6 American Journal of Mathematical and Management Sciences 6 Probability Theory and Related Fields 6 Journal of Applied Mathematics and Stochastic Analysis 6 SIAM Journal on Applied Mathematics 6 Computational Statistics and Data Analysis 6 ZOR. Zeitschrift für Operations Research 6 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 6 Journal of Scheduling 6 Acta Mathematica Sinica. English Series 6 The Annals of Applied Statistics 6 Journal of the Operations Research Society of China 5 Acta Informatica 5 Information Processing Letters ...and 268 more Journals
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#### Cited in 44 Fields

 3,658 Probability theory and stochastic processes (60-XX) 3,620 Operations research, mathematical programming (90-XX) 716 Computer science (68-XX) 387 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 340 Statistics (62-XX) 238 Systems theory; control (93-XX) 235 Numerical analysis (65-XX) 70 Biology and other natural sciences (92-XX) 69 Statistical mechanics, structure of matter (82-XX) 62 Calculus of variations and optimal control; optimization (49-XX) 46 Combinatorics (05-XX) 37 Ordinary differential equations (34-XX) 34 Integral transforms, operational calculus (44-XX) 30 Partial differential equations (35-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 24 Information and communication theory, circuits (94-XX) 21 Operator theory (47-XX) 19 Functions of a complex variable (30-XX) 19 Dynamical systems and ergodic theory (37-XX) 13 Integral equations (45-XX) 12 Difference and functional equations (39-XX) 11 Special functions (33-XX) 10 Approximations and expansions (41-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 8 Number theory (11-XX) 7 History and biography (01-XX) 7 Fluid mechanics (76-XX) 4 Real functions (26-XX) 4 Measure and integration (28-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 General and overarching topics; collections (00-XX) 3 Mathematical logic and foundations (03-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Field theory and polynomials (12-XX) 3 Sequences, series, summability (40-XX) 2 Functional analysis (46-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX)