## 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: 1,748 Publications (since 1986) References Indexed: 1,293 Publications with 30,367 References.
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### Authors

 49 Boxma, Onno Johan 43 Whitt, Ward 37 Mandjes, Michel Robertus Hendrikus 28 Adan, Ivo J. B. F. 22 Kulkarni, Vidyadhar G. 22 van Leeuwaarden, Johan S. H. 22 Zwart, Bert P. 21 Miyazawa, Masakiyo 20 Kella, Offer 20 Knessl, Charles 19 Glynn, Peter W. 19 Takine, Tetsuya 18 Borst, Sem C. 18 Yechiali, Uri 17 Kim, Bara 16 Foss, Sergey G. 16 Taylor, Peter Gerrard 16 Zhao, Yiqiang Q. 14 Altman, Eitan 14 Baccelli, François Louis 14 Dai, J. G. (Jim) 14 Stolyar, Alexander L. 13 Asmussen, Søren 13 Boucherie, Richard J. 13 Brandt, Andreas 13 Guillemin, Fabrice M. 13 Hasenbein, John J. 13 Mandelbaum, Avi 13 Sharma, Vinod Kumar 12 Dębicki, Krzysztof 12 Sigman, Karl 11 Ayhan, Hayriye 11 Brandt, Manfred 11 Morrison, John A. 11 Pang, Guodong 11 Scheller-Wolf, Alan 11 Ward, Amy R. 10 Chen, Hong 10 Choi, Bong Dae 10 Daduna, Hans 10 Economou, Antonis 10 Kim, Jeongsim 10 Majewski, Kurt 10 Mazumdar, Ravi R. 10 Nain, Philippe 10 Perry, David 10 Righter, Rhonda 10 Stadje, Wolfgang 9 Bonald, Thomas 9 Boon, Marko A. A. 9 Bramson, Maury D. 9 Buzacott, John Alan 9 Momčilović, Petar 9 Palmowski, Zbigniew 9 Resing, Jacques A. C. 9 Scheinhardt, Werner R. W. 9 Serfozo, Richard F. 9 Stanford, David A. 9 Templeton, James G. C. 9 Weiss, Gideon 8 Alfa, Attahiru Sule 8 Andradóttir, Sigrún 8 Atar, Rami 8 Blanchet, Jose H. 8 Chaudhry, Mohan L. 8 Ganesh, Ayalvadi J. 8 Harchol-Balter, Mor 8 He, Qi-Ming 8 Korshunov, Dmitry Alekseevich 8 Liu, Liming 8 Massoulié, Laurent 8 Meyn, Sean P. 8 Nazarathy, Yoni 8 Núñez-Queija, Rudesindo 8 Prabhu, Narahari Umanath 8 Robert, Philippe 8 Shanthikumar, Jeyaveerasingam George 8 Van der Mei, Robert Douwe 8 van Ommeren, Jan-Kees C. W. 8 Vlasiou, Maria 8 Walraevens, Joris 7 Bertsimas, Dimitris John 7 Bruneel, Herwig 7 Down, Douglas G. 7 Dudin, Alexander N. 7 Falin, Gennadi I. 7 Fralix, Brian H. 7 Harrison, John Michael 7 Henderson, William 7 Janssen, Augustus Josephus Elizabeth Maria 7 Massey, William A. 7 Norros, Ilkka 7 Rolski, Tomasz 7 Shneer, Vsevolod Vladislavovich 7 Sidi, Moshe 7 Simatos, Florian 7 Stidham, Shaler jun. 7 Zhang, Hanqin 7 Zhu, Yixin 7 Ziedins, Ilze ...and 1,371 more Authors
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### Fields

 1,462 Probability theory and stochastic processes (60-XX) 1,407 Operations research, mathematical programming (90-XX) 321 Computer science (68-XX) 38 Systems theory; control (93-XX) 37 General and overarching topics; collections (00-XX) 36 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 29 Statistics (62-XX) 24 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 Partial differential equations (35-XX) 3 Approximations and expansions (41-XX) 2 Special functions (33-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) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

1,382 Publications have been cited 13,004 times in 5,801 Documents Cited by Year
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1986
A survey of retrial queues. Zbl 0709.60097
1990
A survey on retrial queues. Zbl 0658.60124
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1987
The Fourier-series method for inverting transforms of probability distributions. Zbl 0749.60013
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1992
Manufacturing flow line systems: A review of models and analytical results. Zbl 0782.90048
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1992
Strong approximation for Markovian service networks. Zbl 0911.90167
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Numerical investigation of a multiserver retrial model. Zbl 0711.60094
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1990
State space collapse with application to heavy traffic limits for multiclass queueing networks. Zbl 0911.90162
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1998
A storage model with self-similar input. Zbl 0811.68059
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1994
Polling systems and multitype branching processes. Zbl 0772.60069
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1993
Diffusion approximations for open multiclass queueing networks: Sufficient conditions involving state space collapse. Zbl 0911.90171
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1998
A diffusion approximation for a Markovian queue with reneging. Zbl 1054.60100
Ward, Amy R.; Glynn, Peter W.
2003
Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory. Zbl 1107.60060
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2006
Reliability analysis of the retrial queue with server breakdowns and repairs. Zbl 1028.90014
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2001
Design of manufacturing systems using queueing models. Zbl 0769.90043
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1992
Heavy traffic resource pooling in parallel-server systems. Zbl 0997.60108
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1999
Equilibrium customer strategies in a single server Markovian queue with setup times. Zbl 1124.60069
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2007
Call centers with impatient customers: Many-server asymptotics of the M/M/$$n+G$$ queue. Zbl 1085.60072
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2005
Workloads and waiting times in single-server systems with multiple customer classes. Zbl 0681.60098
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1989
Analysis of customers’ impatience in queues with server vacations. Zbl 1114.90015
Altman, Eitan; Yechiali, Uri
2006
Retrial queues with server subject to breakdowns and repairs. Zbl 0727.60110
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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
Queues with system disasters and impatient customers when system is down. Zbl 1124.60076
Yechiali, Uri
2007
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
An M/G/1 queue with second optional service. Zbl 0942.90008
2000
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
A survey of Markov decision models for control of networks of queues. Zbl 0772.90082
Stidham, Shaler jun.; Weber, Richard
1993
A diffusion approximation for a GI/GI/1 queue with balking or reneging. Zbl 1094.60064
Ward, Amy R.; Glynn, Peter W.
2005
The transform likelihood ratio method for rare event simulation with heavy tails. Zbl 1061.90032
Kroese, D. P.; Rubinstein, R. Y.
2004
Brownian models of multiclass queueing networks: Current status and open problems. Zbl 0781.60090
Harrison, J. Michael; Nguyen, Viên
1993
On the single server retrial queue with priority customers. Zbl 0790.60076
Falin, G. I.; Artalejo, J. R.; Martin, M.
1993
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
Properties of the reflected Ornstein-Uhlenbeck process. Zbl 1026.60106
Ward, Amy R.; Glynn, Peter W.
2003
Modeling teletraffic arrivals by a Poisson cluster process. Zbl 1119.60075
Faÿ, Gilles; González-Arévalo, Bárbara; Mikosch, Thomas; Samorodnitsky, Gennady
2006
The M/G/1 retrial queue with Bernoulli schedule. Zbl 0706.60089
Choi, Bong Dae; Park, Kwang Kyu
1990
$$M/M/1$$ 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
Discrete time geo$$/G/1$$ queue with multiple adaptive vacations. Zbl 1079.90525
Zhang, Zhe George; Tian, Naishuo
2001
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
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
On queueing network models of flexible manufacturing systems. Zbl 0649.90061
Buzacott, J. A.; Yao, D. D.
1986
On the single server retrial queue subject to breakdowns. Zbl 0918.90073
Aissani, A.; Artalejo, J. R.
1998
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
Single-server queue with Markov-dependent inter-arrival and service times. Zbl 1036.90029
Adan, I. J. B. F.; Kulkarni, V. G.
2003
Structural results for the control of queueing systems using event-based dynamic programming. Zbl 0917.90136
Koole, Ger
1998
An invariance principle for semimartingale reflecting Brownian motions in an orthant. Zbl 0911.90170
Williams, R. J.
1998
Markov-modulated queueing systems. Zbl 0694.60087
Prabhu, N. U.; Zhu, Yixin
1989
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
Queues with workload-dependent arrival and service rates. Zbl 1056.90026
Bekker, R.; Borst, S. C.; Boxma, O. J.; Kella, O.
2004
A hard-core model on a Cayley tree: an example of a loss network. Zbl 1139.90338
Suhov, Y.; Rozikov, U. A.
2004
Monotonicity and stability of periodic polling models. Zbl 0789.60092
Fricker, C.; Jaïbi, M. R.
1994
Appendix: A primer on heavy-tailed distributions. Zbl 0997.60118
Sigman, Karl
1999
A single server Poisson input queue with a second optional channel. Zbl 1011.60072
Medhi, J.
2002
A review of $$L=\lambda W$$ and extensions. Zbl 0727.60112
Whitt, Ward
1991
Dynamic routing in large-scale service systems with heterogeneous servers. Zbl 1094.60058
Armony, Mor
2005
Simulation methodology - an introduction for queueing theorists. Zbl 0665.65100
Ripley, B. D.
1988
Stochastic decomposition in M/M/$${\infty}$$ queues with Markov modulated service rates. Zbl 1059.60093
Baykal-Gursoy, Melike; Xiao, Weihua
2004
Two-parameter heavy-traffic limits for infinite-server queues. Zbl 1231.60100
Pang, Guodong; Whitt, Ward
2010
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
Nonstationary queues: estimation of the rate of convergence. Zbl 1056.90030
Granovsky, Boris L.; Zeifman, A.
2004
Transient behavior of the M/M/1 queue: Starting at the origin. Zbl 0671.60082
Abate, Joseph; Whitt, Ward
1987
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 retrial BMAP/SM/1 system with linear repeated requests. Zbl 0942.90007
Dudin, Alexander; Klimenok, Valentina
2000
Rejection rules in the $$M/G/1$$ queue. Zbl 0835.60080
Perry, David; Asmussen, Søren
1995
Heavy traffic limits for queues with many deterministic servers. Zbl 1048.60069
Jelenković, Predrag; Mandelbaum, Avishai; Momčilović, Petar
2004
A discrete-time $$Geo/G/1$$ retrial queue with general retrial times. Zbl 1059.60092
Atencia, Ivan; Moreno, Pilar
2004
On the stability of a partially accessible multi-station queue with state-dependent routing. Zbl 0915.60089
Foss, Serguei; Chernova, Natalia
1998
Asymptotic independence of queues under randomized load balancing. Zbl 1275.60071
Bramson, Maury; Lu, Yi; Prabhakar, Balaji
2012
Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling. Zbl 0772.60068
Kelly, F. P.; Laws, C. N.
1993
Insensitive bandwidth sharing in data networks. Zbl 1023.90003
Bonald, T.; Proutière, A.
2003
Effective bandwidths at multi-class queues. Zbl 0737.60084
Kelly, F. P.
1991
Some universal limits for nonhomogeneous birth and death processes. Zbl 1119.60071
Zeifman, A.; Leorato, S.; Orsingher, E.; Satin, Ya.; Shilova, G.
2006
Generalized $$M/G/C/C$$ state dependent queueing models and pedestrian traffic flows. Zbl 0797.90028
Cheah, Jen Yeng; MacGregor Smith, J.
1994
Waiting-time tail probabilities in queues with long-tail service-time distributions. Zbl 0805.60097
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
1994
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
Discrete-time GI/Geo/1 queue with multiple working vacations. Zbl 1177.90095
Li, Ji-Hong; Tian, Nai-Shuo; Liu, Wen-Yuan
2007
Analysis of the asymmetric shortest queue problem. Zbl 0719.60107
Adan, I. J. B. F.; Wessels, J.; Zijm, W. H. M.
1991
The $$G_{t}/GI/s_{t}+GI$$ many-server fluid queue. Zbl 1275.60084
Liu, Yunan; Whitt, Ward
2012
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
Large deviations behavior of counting processes and their inverses. Zbl 0805.60023
Glynn, Peter W.; Whitt, Ward
1994
Sojourn time asymptotics in the $$M/G/1$$ processor sharing queue. Zbl 0997.90024
Zwart, A. P.; Boxma, O. J.
2000
Analysis of Markov multiserver retrial queues with negative arrivals. Zbl 0987.60097
Anisimov, Vladimir V.; Artalejo, Jesus R.
2001
Convergence to equilibria for fluid models of FIFO queueing networks. Zbl 0851.90044
Bramson, Maury
1996
Approximation with generalized hyperexponential distributions: Weak convergence results. Zbl 0655.60012
Botta, R. F.; Harris, C. M.
1986
The discrete-time GI/Geo/1 queue with multiple vacations. Zbl 0993.90029
Tian, Naishuo; Zhang, Zhe George
2002
How large delays build up in a GI/G/1 queue. Zbl 0695.60092
Anantharam, V.
1989
The QNET method for two-moment analysis of open queueing networks. Zbl 0702.60082
Harrison, J. Michael; Nguyen, Vien
1990
Scheduling networks of queues: Heavy traffic analysis of a simple open network. Zbl 0684.90034
Harrison, J. Michael; Wein, Lawrence M.
1989
Gaussian skewness approximation for dynamic rate multi-server queues with abandonment. Zbl 1285.60091
Massey, William A.; Pender, Jamol
2013
A single server queue with service interruptions. Zbl 0892.90083
1997
A tandem queue with blocking and Markovian arrival process. Zbl 0993.90024
Gómez-Corral, A.
2002
A queueing analysis of max-min fairness, proportional fairness and balanced fairness. Zbl 1114.90016
Bonald, T.; Massoulié, L.; Proutière, A.; Virtamo, J.
2006
The $$M/G/1$$ retrial queue with the server subject to starting failures. Zbl 0810.90046
Yang, Tao; Li, Hui
1994
A retrial queue with redundancy and unreliable server. Zbl 0817.60093
Aissani, A.
1994
Clearing models for $$M/G/1$$ queues. Zbl 1024.90020
Boxma, Onno J.; Perry, David; Stadje, Wolfgang
2001
$$M/G/1$$ retrial queueing systems with two types of calls and finite capacity. Zbl 0836.60100
Choi, Bong Dae; Choi, Ki Bong; Lee, Yong Wan
1995
Open problems in queueing theory inspired by datacenter computing. Zbl 1475.60181
Harchol-Balter, Mor
2021
Extremal $$GI/GI/1$$ queues given two moments: exploiting Tchebycheff systems. Zbl 1475.60177
Chen, Yan; Whitt, Ward
2021
A survey of parameter and state estimation in queues. Zbl 1475.60174
Asanjarani, Azam; Nazarathy, Yoni; Taylor, Peter
2021
Large deviations for acyclic networks of queues with correlated Gaussian inputs. Zbl 1478.60104
Zubeldia, Martin; Mandjes, Michel
2021
Heavy traffic queue length scaling in switches with reconfiguration delay. Zbl 1475.60189
Wang, Chang-Heng; Maguluri, Siva Theja; Javidi, Tara
2021
Product forms for FCFS queueing models with arbitrary server-job compatibilities: an overview. Zbl 1461.60078
Gardner, Kristen; Righter, Rhonda
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
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
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
Stability conditions for a decentralised medium access algorithm: single- and multi-hop networks. Zbl 1431.60117
Shneer, Seva; Stolyar, Alexander
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
Equilibrium in a finite capacity $$M/M/1$$ queue with unknown service rates consisting of strategic and non-strategic customers. Zbl 1475.60188
Srivatsa Srinivas, S.; Marathe, Rahul R.
2020
An alternative approach to heavy-traffic limits for finite-pool queues. Zbl 1461.60072
Bet, G.
2020
Stein’s method for diffusive limits of queueing processes. Zbl 1461.60071
Besançon, Eustache; Decreusefond, Laurent; Moyal, Pascal
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
Stability of a multi-class multi-server retrial queueing system with service times depending on classes and servers. Zbl 1432.60084
Kim, Bara; Kim, Jeongsim
2020
Stationary distribution convergence of the offered waiting processes for $$GI/GI/1+GI$$ queues in heavy traffic. Zbl 1431.60115
Lee, Chihoon; Ward, Amy R.; Ye, Heng-Qing
2020
Stability conditions for a multiserver queueing system with a regenerative input flow and simultaneous service of a customer by a random number of servers. Zbl 1434.60260
Afanaseva, L. G.; Grishunina, S. A.
2020
On mean-field ($$\mathrm{GI}/\mathrm{GI}/1$$) queueing model: existence and uniqueness. Zbl 1434.90044
Veretennikov, A. Yu.
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
Strategic behaviour in a tandem queue with alternating server. Zbl 1475.60180
Dvir, Nimrod; Hassin, Refael; Yechiali, Uri
2020
Mobility can drastically improve the heavy traffic performance from $$\frac{1}{1-\varrho}$$ to $$\log(1/(1-\varrho))$$. Zbl 1461.60083
Simatos, Florian; Simonian, Alain
2020
Heavy-traffic limits for stationary network flows. Zbl 1461.60085
Whitt, Ward; You, Wei
2020
Markovian bulk-arrival and bulk-service queues with general state-dependent control. Zbl 1461.60073
Chen, Anyue; Wu, Xiaohan; Zhang, Jing
2020
A survey on skill-based routing with applications to service operations management. Zbl 1452.90102
Chen, Jinsheng; Dong, Jing; Shi, Pengyi
2020
Redundancy scheduling with scaled Bernoulli service requirements. Zbl 07165571
Raaijmakers, Youri; Borst, Sem; Boxma, Onno
2019
The age-dependent random connection model. Zbl 1432.60090
Gracar, Peter; Grauer, Arne; Lüchtrath, Lukas; Mörters, Peter
2019
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
Diffusion approximations for double-ended queues with reneging in heavy traffic. Zbl 1442.60094
Liu, Xin
2019
On first-come, first-served queues with two classes of impatient customers. Zbl 1466.60185
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
On the distributions of infinite server queues with batch arrivals. Zbl 1466.60188
Daw, Andrew; Pender, Jamol
2019
Strategic customer behavior in a two-stage batch processing system. Zbl 1431.90046
Bountali, Olga; Economou, Antonis
2019
Infinite-server systems with Coxian arrivals. Zbl 1439.60084
Boxma, Onno; Kella, Offer; Mandjes, Michel
2019
Reward maximization in general dynamic matching systems. Zbl 1437.60070
2019
Bounds and limit theorems for a layered queueing model in electric vehicle charging. Zbl 1430.90182
Aveklouris, Angelos; Vlasiou, Maria; Zwart, Bert
2019
Job assignment in large-scale service systems with affinity relations. Zbl 1432.60083
Cardinaels, Ellen; Borst, Sem C.; van Leeuwaarden, Johan S. H.
2019
Condition-based maintenance policies under imperfect maintenance at scheduled and unscheduled opportunities. Zbl 1432.90040
Drent, C.; Kapodistria, S.; Resing, J. A. C.
2019
Large deviations of bivariate Gaussian extrema. Zbl 1432.60038
van der Hofstad, Remco; Honnappa, Harsha
2019
An exact root-free method for the expected queue length for a class of discrete-time queueing systems. Zbl 1439.60087
Oblakova, A.; Al Hanbali, A.; Boucherie, R. J.; van Ommeren, J. C. W.; Zijm, W. H. M.
2019
Marked point processes in discrete time. Zbl 1427.60060
Sigman, Karl; Whitt, Ward
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
Asymptotic independence of regenerative processes with a special dependence structure. Zbl 1431.60105
Jacobovic, Royi; Kella, Offer
2019
Queue length asymptotics for the multiple-server queue with heavy-tailed Weibull service times. Zbl 1432.60082
Bazhba, Mihail; Blanchet, Jose; Rhee, Chang-Han; Zwart, Bert
2019
Asymptotic behavior of a critical fluid model for a multiclass processor sharing queue via relative entropy. Zbl 1432.60085
Mulvany, Justin A.; Puha, Amber L.; Williams, Ruth J.
2019
A stochastic analysis of a network with two levels of service. Zbl 1439.60083
Bœuf, Vianney; Robert, Philippe
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
A central-limit-theorem version of the periodic Little’s law. Zbl 1450.60023
Whitt, Ward; Zhang, Xiaopei
2019
Delay asymptotics and bounds for multitask parallel jobs. Zbl 1484.60101
Wang, Weina; Harchol-Balter, Mor; Jiang, Haotian; Scheller-Wolf, Alan; Srikant, R.
2019
Discrete-time modified number- and time-limited vacation queues. Zbl 1466.60187
Claeys, Dieter; De Vuyst, Stijn
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
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
Robust transient analysis of multi-server queueing systems and feed-forward networks. Zbl 1397.90104
Bandi, Chaithanya; Bertsimas, Dimitris; Youssef, Nataly
2018
Discretization error for a two-sided reflected Lévy process. Zbl 1408.60036
Asmussen, Søren; Ivanovs, Jevgenijs
2018
Optimal heavy-traffic queue length scaling in an incompletely saturated switch. Zbl 1390.60331
Maguluri, Siva Theja; Burle, Sai Kiran; Srikant, R.
2018
Analysis of $$M^{ X}/ G/1$$ queues with impatient customers. Zbl 1396.60096
Inoue, Yoshiaki; Boxma, Onno; Perry, David; Zacks, Shelley
2018
Many-server scaling of the N-system under FCFS-ALIS. Zbl 1390.60338
Zhan, Dongyuan; Weiss, Gideon
2018
The state-dependent $$\mathrm{M}/\mathrm{G}/1$$ queue with orbit. Zbl 1418.60114
Baron, Opher; Economou, Antonis; Manou, Athanasia
2018
Asymptotics of insensitive load balancing and blocking phases. Zbl 1390.60325
Jonckheere, Matthieu; Prabhu, Balakrishna J.
2018
Large deviations in relay-augmented wireless networks. Zbl 1390.60108
Hirsch, Christian; Jahnel, Benedikt; Keeler, Paul; Patterson, Robert
2018
Stationary analysis of a single queue with remaining service time-dependent arrivals. Zbl 1387.90066
Legros, Benjamin; Sezer, Ali Devin
2018
Stability of linear EDF networks with resource sharing. Zbl 1390.60328
Kruk, Łukasz
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
On the rate of convergence to equilibrium for reflected Brownian motion. Zbl 1408.60019
Glynn, Peter W.; Wang, Rob J.
2018
Perfect sampling of GI/GI/$$c$$ queues. Zbl 1418.60115
Blanchet, Jose; Dong, Jing; Pei, Yanan
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
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
Costly circuits, submodular schedules and approximate Carathéodory theorems. Zbl 1484.68040
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
Two-parameter process limits for infinite-server queues with dependent service times via chaining bounds. Zbl 1390.60336
Pang, Guodong; Zhou, Yuhang
2018
Queueing for an infinite bus line and aging branching process. Zbl 1390.60319
Bansaye, Vincent; Camanes, Alain
2018
A broad view of queueing theory through one issue. Zbl 1408.60088
Whitt, Ward
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
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
Fluid and diffusion approximations of probabilistic matching systems. Zbl 1373.60151
Büke, Burak; Chen, Hanyi
2017
Fitting correlated arrival and service times and related queueing performance. Zbl 1371.60159
Buchholz, Peter; Kriege, Jan
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
Mutual service processes in Euclidean spaces: existence and ergodicity. Zbl 1373.60021
Baccelli, François; Mathieu, Fabien; Norros, Ilkka
2017
A rate balance principle and its application to queueing models. Zbl 1391.60074
Oz, Binyamin; Adan, Ivo; Haviv, Moshe
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
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
Analysis of Jackson networks with infinite supply and unreliable nodes. Zbl 1396.90011
Sommer, Jennifer; Berkhout, Joost; Daduna, Hans; Heidergott, Bernd
2017
On non-equilibria threshold strategies in ticket queues. Zbl 1382.60117
Kerner, Yoav; Sherzer, Eliran; Yanco, Mor Ann
2017
Choosing among heterogeneous server clouds. Zbl 1368.60100
Karthik, A.; Mukhopadhyay, Arpan; Mazumdar, Ravi R.
2017
Personalized queues: the customer view, via a fluid model of serving least-patient first. Zbl 1388.90042
Mandelbaum, Avishai; Momčilović, Petar
2017
Optimality of the generalized $$c\mu$$ rule in the moderate deviation regime. Zbl 1388.90036
Atar, Rami; Saha, Subhamay
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
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
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
...and 1282 more Documents
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### Cited by 5,024 Authors

 104 Mandjes, Michel Robertus Hendrikus 86 Boxma, Onno Johan 81 Whitt, Ward 60 Ke, Jauchuan 58 Bruneel, Herwig 58 Dudin, Alexander N. 56 Adan, Ivo J. B. F. 52 Zwart, Bert P. 49 Kim, Bara 49 van Leeuwaarden, Johan S. H. 48 Krishnamoorthy, Achyutha 43 Gupta, Umesh Chandra 38 Klimenok, Valentina Ivanovna 37 Miyazawa, Masakiyo 37 Wang, Jinting 37 Zhao, Yiqiang Q. 36 Borst, Sem C. 36 Chaudhry, Mohan L. 36 Kim, Jeongsim 36 Perry, David 36 Walraevens, Joris 35 Knessl, Charles 35 Yechiali, Uri 34 Artalejo, Jesus R. 34 Foss, Sergey G. 33 Glynn, Peter W. 32 Kella, Offer 31 Choudhury, Gautam 30 Lee, Ho Woo 30 Liu, Zaiming 30 Zeifman, Alexander Izrailevich 29 Pang, Guodong 28 Asmussen, Søren 28 Banik, Abhijit Datta 28 Boucherie, Richard J. 28 Dębicki, Krzysztof 28 Guillemin, Fabrice M. 27 Atar, Rami 27 Blanchet, Jose H. 27 Economou, Antonis 27 Phung-Duc, Tuan 27 Stolyar, Alexander L. 26 Fiems, Dieter 26 Stadje, Wolfgang 25 Aissani, Djamil 25 Dudin, Sergey A. 25 Kim, Chesoong 25 Kulkarni, Vidyadhar G. 25 Liu, Liwei 25 Pender, Jamol 24 Alfa, Attahiru Sule 24 Wittevrongel, Sabine 23 Li, Quanlin 22 Goswami, Veena 22 Krishna Kumar, Balasubramanian 22 Ramanan, Kavita 22 Steyaert, Bart 22 Tang, Yinghui 22 Van der Mei, Robert Douwe 21 Chakravarthy, Srinivas R. 20 Altman, Eitan 20 Dudina, Olga S. 20 Jiang, Tao 20 Palmowski, Zbigniew 20 Rozikov, Utkir A. 20 Shin, Yang Woo 20 Takine, Tetsuya 20 Winands, Erik M. M. 19 Cruz, Frederico R. B. 19 Dai, J. G. (Jim) 19 Lee, Chihoon 19 Nazarov, Anatoly A. 19 Tian, Naishuo 19 Weiss, Gideon 18 Ayesta, Urtzi 18 Chae, Kyung Chul 18 Daduna, Hans 18 Jain, Madhu 18 Taylor, Peter Gerrard 18 Vlasiou, Maria 18 Wang, Kuo-Hsiung 18 Wu, Jinbiao 17 Ayhan, Hayriye 17 Budhiraja, Amarjit S. 17 Claeys, Dieter 17 Down, Douglas G. 17 Gao, Shan 17 Guo, Yongjiang 17 He, Qi-Ming 17 Liu, Yunan 17 Mandelbaum, Avi 17 Mazumdar, Ravi R. 17 Nobile, Amelia G. 16 Dimitriou, Ioannis 16 Dshalalow, Jewgeni H. 16 Harrison, John Michael 16 Kruk, Łukasz 16 Legros, Benjamin 16 van Dijk, Nico M. 16 Williams, Ruth J. ...and 4,924 more Authors
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### Cited in 394 Journals

 913 Queueing Systems 379 European Journal of Operational Research 246 Operations Research Letters 224 Annals of Operations Research 199 Stochastic Models 176 The Annals of Applied Probability 151 Computers & Operations Research 151 Probability in the Engineering and Informational Sciences 141 Journal of Applied Probability 125 Advances in Applied Probability 109 Applied Mathematical Modelling 108 Stochastic Processes and their Applications 86 Applied Mathematics and Computation 84 Methodology and Computing in Applied Probability 77 Operations Research 77 Stochastic Systems 71 Opsearch 71 Mathematical Methods of Operations Research 66 Statistics & Probability Letters 65 Mathematical and Computer Modelling 64 Journal of Industrial and Management Optimization 58 Computers & Mathematics with Applications 57 Automation and Remote Control 55 Mathematical Problems in Engineering 54 Mathematics of Operations Research 52 Communications in Statistics. Theory and Methods 50 Top 46 Stochastic Analysis and Applications 42 Asia-Pacific Journal of Operational Research 42 Discrete Event Dynamic Systems 41 RAIRO. Operations Research 40 Insurance Mathematics & Economics 39 Journal of Computational and Applied Mathematics 35 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 21 Bernoulli 20 Journal of Statistical Physics 19 INFORMS Journal on Computing 19 Journal of the Korean Statistical Society 18 The Annals of Probability 18 Communications in Statistics. Simulation and Computation 18 International Journal of Computer Mathematics 18 OR Spectrum 17 Scandinavian Actuarial Journal 17 Journal of Applied Mathematics and Computing 17 International Journal of Applied and Computational Mathematics 16 International Journal of Applied Mathematics and Computer Science 15 Lithuanian Mathematical Journal 15 Journal of Theoretical Probability 14 Linear Algebra and its Applications 14 Discrete Dynamics in Nature and Society 13 Automatica 13 Advances in Operations Research 12 Journal of Optimization Theory and Applications 12 Acta Applicandae Mathematicae 11 Problems of Information Transmission 11 Optimization 11 Extremes 10 International Journal of Systems Science 10 Theoretical and Mathematical Physics 10 Mathematics and Computers in Simulation 10 Theoretical Computer Science 10 4OR 10 Stochastics 10 International Journal of Stochastic Analysis 9 Theory of Probability and its Applications 9 Theoretical Population Biology 9 Applied Stochastic Models in Business and Industry 9 Quantitative Finance 9 Journal of Applied Mathematics 9 Science China. Mathematics 9 International Journal of Systems Science. Principles and Applications of Systems and Integration 8 Journal of Mathematical Biology 8 Applications and Applied Mathematics 8 Frontiers of Mathematics in China 8 Operational Research. An International Journal 8 Statistics and Computing 7 Journal of Computer and System Sciences 7 OR Spektrum 7 SIAM Journal on Applied Mathematics 7 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 7 CEJOR. Central European Journal of Operations Research 7 Journal of Probability and Statistics 7 Journal of the Operations Research Society of China 6 Physica A 6 Kybernetika 6 SIAM Journal on Control and Optimization 6 American Journal of Mathematical and Management Sciences 6 Probability Theory and Related Fields 6 Journal of Applied Mathematics and Stochastic Analysis 6 Computational Statistics and Data Analysis 6 ZOR. Zeitschrift für Operations Research 6 Journal of Scheduling 6 International Journal of Theoretical and Applied Finance ...and 294 more Journals
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### Cited in 44 Fields

 3,997 Probability theory and stochastic processes (60-XX) 3,911 Operations research, mathematical programming (90-XX) 811 Computer science (68-XX) 430 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 388 Statistics (62-XX) 248 Systems theory; control (93-XX) 246 Numerical analysis (65-XX) 75 Statistical mechanics, structure of matter (82-XX) 74 Biology and other natural sciences (92-XX) 64 Calculus of variations and optimal control; optimization (49-XX) 55 Combinatorics (05-XX) 41 Ordinary differential equations (34-XX) 36 Integral transforms, operational calculus (44-XX) 32 Partial differential equations (35-XX) 28 Information and communication theory, circuits (94-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 23 Functions of a complex variable (30-XX) 21 Dynamical systems and ergodic theory (37-XX) 21 Operator theory (47-XX) 13 Special functions (33-XX) 12 Difference and functional equations (39-XX) 12 Integral equations (45-XX) 11 Approximations and expansions (41-XX) 11 Fluid mechanics (76-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 History and biography (01-XX) 8 Number theory (11-XX) 5 General and overarching topics; collections (00-XX) 4 Real functions (26-XX) 4 Measure and integration (28-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Mathematical logic and foundations (03-XX) 3 Field theory and polynomials (12-XX) 3 Sequences, series, summability (40-XX) 2 Order, lattices, ordered algebraic structures (06-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) 2 Quantum theory (81-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 General topology (54-XX) 1 Classical thermodynamics, heat transfer (80-XX)