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Author ID: whitt.ward Recent zbMATH articles by "Whitt, Ward"
Published as: Whitt, Ward; Whitt, W.
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all top 5

Co-Authors

98 single-authored
35 Abate, Joseph
18 Choudhury, Gagan L.
18 Glynn, Peter W.
13 Liu, Yunan
13 Massey, William A.
9 Pang, Guodong
8 Perry, Ohad
7 Berger, Arthur W.
7 Kella, Offer
6 Chen, Yan
6 Kim, Song-Hee
6 You, Wei
4 Duffield, Nick G.
4 Fendick, Kerry W.
4 Lucantoni, David M.
3 Iglehart, Donald Lee
3 Ma, Ni
3 Mandelbaum, Avi
3 Melamed, Benjamin
3 Sigman, Karl
3 Srikant, Rayadurgam
3 Talreja, Rishi
2 Browne, Sid
2 Cha, Won Chul
2 Coffman, Edward Grady jun.
2 Dong, James
2 Eick, Stephen G.
2 Goldberg, David Alan
2 Gurvich, Itai
2 Halfin, Shlomo
2 Heyman, Daniel P.
2 Ibrahim, Rouba
2 Park, Kunsoo
2 Puhalskii, Anatolii A.
2 Sun, Xu
2 Zhang, Xiaopei
2 Zhao, Jingtong
1 Armony, Mor
1 Avdis, Efstathios
1 Blanc, Johannes Pieter Cornelis
1 Boxma, Onno Johan
1 Brun, M. A.
1 Chen, Hong
1 Crow, Charles S. IV
1 Davis, Jimmie L.
1 Derman, Emanuel
1 Donnelly, Peter
1 Doshi, Bharat T.
1 Fayolle, Guy
1 Feldman, Zohar
1 Flatto, Leopold
1 Gani, Joseph Mark
1 Goroff, Daniel L.
1 Groenendijk, Wim P.
1 He, Beixiang
1 Heyde, Christopher Charles
1 Hjálmtýsson, Gísli
1 Hofri, Micha
1 Hordijk, Arie
1 Jennings, Otis B.
1 Kang, Wanmo
1 Kaspi, Haya
1 Kaufman, Jay S.
1 Kelly, Frank P.
1 Kijima, Masaaki
1 Kleinrock, Leonard
1 Klincewicz, John G.
1 Korhan Aras, A.
1 Lavenberg, Stephen S.
1 Mandjes, Michel Robertus Hendrikus
1 Mitrani, Isi
1 Nazarathy, Yoni
1 Nozari, Ardavan
1 Phelan, Michael J.
1 Prabhu, Narahari Umanath
1 Reiman, Martin I.
1 Rubinovitch, Michael
1 Shahabuddin, Perwez
1 Shimkin, Nahum
1 Shubik, Martin
1 Sleeman, Brian David
1 Sun, Bo
1 Syski, Ryszard
1 Tijms, Henk C.
1 Tsang, Danny H. K.
1 van Doremalen, Jan B. M.
1 Vel, Ponni
1 Ward, Amy R.
1 Wessels, Jaap
1 Yu, Yao

Publications by Year

Citations contained in zbMATH Open

282 Publications have been cited 5,821 times in 3,156 Documents Cited by Year
Stochastic-process limits. An introduction to stochastic-process limits and their application to queues. Zbl 0993.60001
Whitt, Ward
463
2002
The Fourier-series method for inverting transforms of probability distributions. Zbl 0749.60013
Abate, Joseph; Whitt, Ward
200
1992
Heavy-traffic limits for queues with many exponential servers. Zbl 0455.60079
Halfin, Shlomo; Whitt, Ward
188
1981
Numerical inversion of Laplace transforms of probability distributions. Zbl 0821.65085
Abate, Joseph; Whitt, Ward
173
1995
Some useful functions for functional limit theorems. Zbl 0428.60010
Whitt, Ward; Sleeman, B. D.
137
1980
Approximating a point process by a renewal process. I: Two basic methods. Zbl 0481.90025
Whitt, Ward
109
1982
Multiple channel queues in heavy traffic. I. Zbl 0218.60098
Iglehart, D. L.; Whitt, W.
103
1970
A unified framework for numerically inverting Laplace transforms. Zbl 1241.65114
Abate, Joseph; Whitt, Ward
100
2006
Martingale proofs of many-server heavy-traffic limits for Markovian queues. Zbl 1189.60067
Pang, Guodong; Talreja, Rishi; Whitt, Ward
90
2007
Bivariate distributions with given marginals. Zbl 0367.62022
Whitt, Ward
69
1976
Useful martingales for stochastic storage processes with Lévy input. Zbl 0761.60065
Kella, Offer; Whitt, Ward
68
1992
Multiple channel queues in heavy traffic. II: Sequences, networks, and batches. Zbl 0206.22503
Iglehart, D. L.; Whitt, W.
66
1970
Logarithmic asymptotics for steady-state tail probabilities in a single- server queue. Zbl 0805.60093
Glynn, Peter W.; Whitt, Ward
65
1994
Departures from many queues in series. Zbl 0749.60090
Glynn, Peter W.; Whitt, Ward
62
1991
Weak convergence of probability measures on the function space \(C[0,\infty)\). Zbl 0203.50501
Whitt, W.
58
1970
Deciding which queue to join: Some counterexamples. Zbl 0622.90035
Whitt, Ward
55
1986
Proofs of the martingale FCLT. Zbl 1189.60070
Whitt, Ward
54
2007
Approximations of dynamic programs. I. Zbl 0393.90094
Whitt, Ward
53
1978
The asymptotic efficiency of simulation estimators. Zbl 0760.62009
Glynn, Peter W.; Whitt, Ward
51
1992
Numerical inversion of probability generating functions. Zbl 0758.60014
Abate, Joseph; Whitt, Ward
51
1992
Fluid models for multiserver queues with abandonments. Zbl 1167.90462
Whitt, Ward
51
2006
The physics of the \(M_ t/G/\infty\) queue. Zbl 0781.60086
Eick, Stephen G.; Massey, William A.; Whitt, Ward
51
1993
An introduction to numerical transform inversion and its application to probability models. Zbl 0945.65008
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
50
2000
Networks of infinite-server queues with nonstationary Poisson input. Zbl 0778.60068
Massey, William A.; Whitt, Ward
50
1993
Staffing of time-varying queues to achieve time-stable performance. Zbl 1232.90275
Feldman, Zohar; Mandelbaum, Avishai; Massey, William A.; Whitt, Ward
50
2008
Comparing counting processes and queues. Zbl 0449.60064
Whitt, Ward
49
1981
Server staffing to meet time-varying demand. Zbl 0880.90052
Jennings, Otis B.; Mandelbaum, Avishai; Massey, William A.; Whitt, Ward
48
1996
Asymptotics for M/G/1 low-priority waiting-time tail probabilities. Zbl 0894.60088
Abate, Joseph; Whitt, Ward
46
1997
Efficiency-driven heavy-traffic approximations for many-server queues with abandonments. Zbl 1232.90158
Whitt, Ward
44
2004
Transient behavior of the M/M/1 queue via Laplace transforms. Zbl 0638.60097
Abate, Joseph; Whitt, Ward
42
1988
Multidimensional transform inversion with applications to the transient \(M/G/1\) queue. Zbl 0808.65140
Choudhury, Gagan L.; Lucantoni, David M.; Whitt, Ward
40
1994
\(M_ t/G/\infty\) queues with sinusoidal arrival rates. Zbl 0773.60086
Eick, Stephen G.; Massey, William A.; Whitt, Ward
39
1993
Continuity of generalized semi-Markov processes. Zbl 0447.60074
Whitt, Ward
38
1980
Transient behavior of regulated Brownian motion. I: Starting at the origin. Zbl 0628.60083
Abate, Joseph; Whitt, Ward
37
1987
A review of \(L=\lambda W\) and extensions. Zbl 0727.60112
Whitt, Ward
37
1991
On arrivals that see time averages. Zbl 0702.60093
Melamed, Benjamin; Whitt, Ward
37
1990
Weak convergence theorems for priority queues: Preemptive-resume discipline. Zbl 0215.53801
Whitt, W.
36
1971
Transient behavior of the M/M/1 queue: Starting at the origin. Zbl 0671.60082
Abate, Joseph; Whitt, Ward
35
1987
Improving service by informing customers about anticipated delays. Zbl 1231.90285
Whitt, Ward
35
1999
Blocking when service is required from several facilities simultaneously. Zbl 0591.90035
Whitt, W.
33
1985
Two-parameter heavy-traffic limits for infinite-server queues. Zbl 1231.60100
Pang, Guodong; Whitt, Ward
33
2010
Engineering solution of a basic call-center model. Zbl 1232.90159
Whitt, Ward
33
2005
Large deviations behavior of counting processes and their inverses. Zbl 0805.60023
Glynn, Peter W.; Whitt, Ward
32
1994
Heavy traffic limit theorems for queues: a survey. Zbl 0295.60081
Whitt, Ward
31
1974
Queue-and-idleness-ratio controls in many-server service systems. Zbl 1213.60149
Gurvich, Itay; Whitt, Ward
31
2009
The \(G_{t}/GI/s_{t}+GI\) many-server fluid queue. Zbl 1275.60084
Liu, Yunan; Whitt, Ward
31
2012
Understanding the efficiency of multi-server service systems. Zbl 0825.90409
Whitt, Ward
30
1992
On the heavy-traffic limit theorem for GI/G/infinity queues. Zbl 0479.60090
Whitt, Ward
30
1982
Uniform acceleration expansions for Markov chains with time-varying rates. Zbl 0937.60066
Massey, William A.; Whitt, Ward
29
1998
Planning queueing simulations. Zbl 0683.60075
Whitt, Ward
29
1989
Heavy-traffic limits for the \(G/H_ 2^ */n/m\) queue. Zbl 1082.90019
Whitt, Ward
29
2005
Resource sharing for efficiency in traffic systems. Zbl 0447.90028
Smith, D. R.; Whitt, W.
29
1981
Asymptotics for steady-state tail probabilities in structured Markov queueing models. Zbl 0801.60082
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
29
1994
The pointwise stationary approximation for \(M_ t/M_ t/s\) queues is asymptotically correct as the rates increase. Zbl 0734.60094
Whitt, Ward
28
1991
Waiting-time tail probabilities in queues with long-tail service-time distributions. Zbl 0805.60097
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
28
1994
Diffusion approximations for queues with server vacations. Zbl 0713.60101
Kella, Offer; Whitt, Ward
27
1990
A storage model with a two-state random environment. Zbl 0825.90344
Kella, Offer; Whitt, Ward
27
1992
Approximations of dynamic programs. II. Zbl 0408.90082
Whitt, Ward
27
1979
The impact of delay announcements in many-server queues with abandonment. Zbl 1181.90071
Armony, Mor; Shimkin, Nahum; Whitt, Ward
27
2009
Uniform conditional variability ordering of probability distributions. Zbl 0571.60022
Whitt, Ward
26
1985
Many-server heavy-traffic limit for queues with time-varying parameters. Zbl 1290.60092
Liu, Yunan; Whitt, Ward
26
2014
A diffusion approximation for the \(G/GI/n/m\) queue. Zbl 1165.90413
Whitt, Ward
26
2004
Service-level differentiation in many-server service systems via queue-ratio routing. Zbl 1233.90116
Gurvich, Itai; Whitt, Ward
26
2010
An analysis of the modified offered-load approximation for the nonstationary Erlang loss model. Zbl 0812.60082
Massey, William A.; Whitt, Ward
25
1994
Piecewise-linear diffusion processes. Zbl 0845.60087
Browne, Sid; Whitt, Ward
25
1995
On approximations for queues. III: Mixtures of exponential distributions. Zbl 0598.90042
Whitt, W.
25
1984
A new view of the heavy-traffic limit theorem for infinite-server queues. Zbl 0716.60105
Glynn, Peter W.; Whitt, Ward
25
1991
Stabilizing customer abandonment in many-server queues with time-varying arrivals. Zbl 1263.90024
Liu, Yunan; Whitt, Ward
25
2012
Functional large deviation principles for first-passage-time processes. Zbl 0885.60023
Puhalskii, Anatolii A.; Whitt, Ward
24
1997
Exponential approximations for tail probabilities in queues. I: Waiting times. Zbl 0841.60076
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
24
1995
A central-limit-theorem version of \(L=\lambda W\). Zbl 0676.60088
Glynn, P. W.; Whitt, W.
24
1986
Open and closed models for networks of queues. Zbl 0594.90032
Whitt, W.
24
1984
The equivalence of functional central limit theorems for counting processes and associated partial sums. Zbl 0226.60028
Iglehart, Donald L.; Whitt, Ward
24
1971
Stability and structural properties of stochastic storage networks. Zbl 0867.60081
Kella, Offer; Whitt, Ward
23
1996
The impact of a heavy-tailed service-time distribution upon the \(\text{M}/\text{GI}/s\) waiting-time distribution. Zbl 0967.60093
Whitt, Ward
23
2000
Queues with server vacations and Lévy processes with secondary jump input. Zbl 0725.60079
Kella, Offer; Whitt, Ward
23
1991
A many-server fluid limit for the \(G_t/GI/s_t +GI\) queueing model experiencing periods of overloading. Zbl 1250.90027
Liu, Yunan; Whitt, Ward
23
2012
Approximations for departure processes and queues in series. Zbl 0563.60094
Whitt, Ward
23
1984
On approximations for queues. I: Extremal distributions. Zbl 0598.90040
Whitt, W.
22
1984
Fluid models for overloaded multiclass many-server queueing systems with first-come, first-served routing. Zbl 1232.90156
Talreja, Rishi; Whitt, Ward
22
2008
Portfolio choice and the Bayesian Kelly criterion. Zbl 0867.90010
Browne, Sid; Whitt, Ward
21
1996
Transient behavior of the \(M/G/1\) workload process. Zbl 0833.90042
Abate, Joseph; Whitt, Ward
21
1994
On the Laguerre method for numerically inverting Laplace transforms. Zbl 0887.60100
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
21
1996
Transient behavior of regulated Brownian motion. II: Non-zero initial conditions. Zbl 0628.60084
Abate, Joseph; Whitt, Ward
21
1987
The asymptotic validity of sequential stopping rules for stochastic simulations. Zbl 0792.68200
Glynn, Peter W.; Whitt, Ward
21
1992
Limit theorems for cumulative processes. Zbl 0779.60021
Glynn, Peter W.; Whitt, Ward
21
1993
Untold horrors of the waiting room: What the equilibrium distribution will never tell about the queue-length process. Zbl 0517.60092
Whitt, Ward
21
1983
Multivariate monotone likelihood ratio and uniform conditional stochastic order. Zbl 0487.60015
Whitt, Ward
20
1982
Heavy-traffic limits for many-server queues with service interruptions. Zbl 1166.60336
Pang, Guodong; Whitt, Ward
20
2009
A network of time-varying many-server fluid queues with customer abandonment. Zbl 1233.90086
Liu, Yunan; Whitt, Ward
20
2011
Stabilizing performance in networks of queues with time-varying arrival rates. Zbl 1371.60162
Liu, Yunan; Whitt, Ward
20
2014
Computing Laplace transforms for numerical inversion via continued fractions. Zbl 1039.65512
Abate, Joseph; Whitt, Ward
19
1999
Asymptotic formulas for Markov processes with applications to simulation. Zbl 0748.60062
Whitt, Ward
19
1992
An interpolation approximation for the mean workload in a GI/G/1 queue. Zbl 0696.60086
Whitt, Ward
19
1989
Refining diffusion approximations for queues. Zbl 0538.90025
Whitt, Ward
19
1982
Sufficient conditions for functional-limit-theorem versions of \(L=\lambda W\). Zbl 0681.60097
Glynn, P. W.; Whitt, W.
18
1987
Stochastic comparisons for non-Markov processes. Zbl 0609.60046
Whitt, Ward
18
1986
On arrivals that see time averages: A martingale approach. Zbl 0713.60098
Melamed, Benjamin; Whitt, Ward
18
1990
Indirect estimation via \(L=\lambda W\). Zbl 0719.62098
Glynn, Peter W.; Whitt, Ward
18
1989
Solving probability transform functional equations for numerical inversion. Zbl 0766.60107
Abate, Joseph; Whitt, Ward
18
1992
Heavy traffic limits for queues with non-stationary path-dependent arrival processes. Zbl 1491.60159
Fendick, Kerry; Whitt, Ward
1
2022
A robust queueing network analyzer based on indices of dispersion. Zbl 1523.60155
Whitt, Ward; You, Wei
1
2022
Extremal \(GI/GI/1\) queues given two moments: exploiting Tchebycheff systems. Zbl 1475.60177
Chen, Yan; Whitt, Ward
4
2021
Queues with path-dependent arrival processes. Zbl 1476.60166
Fendick, Kerry; Whitt, Ward
3
2021
On the many-server fluid limit for a service system with routing based on delayed information. Zbl 1525.90160
Whitt, Ward
1
2021
Algorithms for the upper bound mean waiting time in the \(\mathrm{GI}/\mathrm{GI}/1\) queue. Zbl 1434.90039
Chen, Yan; Whitt, Ward
7
2020
Extremal models for the \(G I / G I / K\) waiting-time tail-probability decay rate. Zbl 1525.90115
Chen, Yan; Whitt, Ward
4
2020
Heavy-traffic limits for stationary network flows. Zbl 1461.60085
Whitt, Ward; You, Wei
3
2020
Time-varying robust queueing. Zbl 1444.90047
Whitt, Ward; You, Wei
5
2019
Minimizing the maximum expected waiting time in a periodic single-server queue with a service-rate control. Zbl 1446.60071
Ma, Ni; Whitt, Ward
4
2019
Periodic Little’s law. Zbl 1458.60100
Whitt, Ward; Zhang, Xiaopei
3
2019
Marked point processes in discrete time. Zbl 1427.60060
Sigman, Karl; Whitt, Ward
3
2019
The advantage of indices of dispersion in queueing approximations. Zbl 1476.90097
Whitt, Ward; You, Wei
3
2019
Optimal battery purchasing and charging strategy at electric vehicle battery swap stations. Zbl 1430.90203
Sun, Bo; Sun, Xu; Tsang, Danny H. K.; Whitt, Ward
3
2019
A central-limit-theorem version of the periodic Little’s law. Zbl 1450.60023
Whitt, Ward; Zhang, Xiaopei
1
2019
A data-driven model of an appointment-generated arrival process at an outpatient clinic. Zbl 1446.90090
Kim, Song-Hee; Whitt, Ward; Cha, Won Chul
9
2018
Using robust queueing to expose the impact of dependence in single-server queues. Zbl 1442.90058
Whitt, Ward; You, Wei
8
2018
Heavy-traffic limit of the \(GI/GI/1\) stationary departure process and its variance function. Zbl 1446.60076
Whitt, Ward; You, Wei
5
2018
Delay-based service differentiation with many servers and time-varying arrival rates. Zbl 1446.60075
Sun, Xu; Whitt, Ward
2
2018
A broad view of queueing theory through one issue. Zbl 1408.60088
Whitt, Ward
1
2018
Stabilizing performance in a service system with time-varying arrivals and customer feedback. Zbl 1394.90201
Liu, Yunan; Whitt, Ward
14
2017
Heavy-traffic limit for the initial content process. Zbl 1367.60115
Korhan Aras, A.; Liu, Yunan; Whitt, Ward
5
2017
Many-server loss models with non-poisson time-varying arrivals. Zbl 1411.90104
Whitt, Ward; Zhao, Jingtong
4
2017
Staffing a service system with non-Poisson non-stationary arrivals. Zbl 1370.90135
He, Beixiang; Liu, Yunan; Whitt, Ward
18
2016
Efficient simulation of non-Poisson non-stationary point processes to study queueing approximations. Zbl 1382.60118
Ma, Ni; Whitt, Ward
6
2016
Chattering and congestion collapse in an overload switching control. Zbl 1356.60155
Perry, Ohad; Whitt, Ward
5
2016
Staffing to stabilize blocking in loss models with time-varying arrival rates. Zbl 1370.90090
Li, Andrew; Whitt, Ward; Zhao, Jingtong
4
2016
Heavy-traffic limits for a single-server queue leading up to a critical point. Zbl 1408.90101
Whitt, Ward
3
2016
Approximations for heavily loaded \(G/GI/n+GI\) queues. Zbl 1411.90097
Liu, Yunan; Whitt, Ward; Yu, Yao
2
2016
A Poisson limit for the departure process from a queue with many busy servers. Zbl 1408.60089
Whitt, Ward
1
2016
Heavy-traffic fluid limits for periodic infinite-server queues. Zbl 1348.60135
Whitt, Ward
1
2016
Stabilizing performance in a single-server queue with time-varying arrival rate. Zbl 1332.60131
Whitt, Ward
12
2015
Poisson and non-Poisson properties in appointment-generated arrival processes: the case of an endocrinology clinic. Zbl 1408.90169
Kim, Song-Hee; Vel, Ponni; Whitt, Ward; Cha, Won Chul
7
2015
Stochastic grey-box modeling of queueing systems: fitting birth-and-death processes to data. Zbl 1317.60119
Dong, James; Whitt, Ward
5
2015
Using a birth-and-death process to estimate the steady-state distribution of a periodic queue. Zbl 1411.90093
Dong, James; Whitt, Ward
4
2015
Achieving rapid recovery in an overload control for large-scale service systems. Zbl 1328.90027
Perry, Ohad; Whitt, Ward
1
2015
Many-server heavy-traffic limit for queues with time-varying parameters. Zbl 1290.60092
Liu, Yunan; Whitt, Ward
26
2014
Stabilizing performance in networks of queues with time-varying arrival rates. Zbl 1371.60162
Liu, Yunan; Whitt, Ward
20
2014
Algorithms for time-varying networks of many-server fluid queues. Zbl 1356.90040
Liu, Yunan; Whitt, Ward
10
2014
Heavy-traffic limits for queues with periodic arrival processes. Zbl 1408.90100
Whitt, Ward
8
2014
Choosing arrival process models for service systems: tests of a nonhomogeneous Poisson process. Zbl 1411.90095
Kim, Song-Hee; Whitt, Ward
7
2014
The steady-state distribution of the \(M_t / M / \infty\) queue with a sinusoidal arrival rate function. Zbl 1408.90099
Whitt, Ward
5
2014
Diffusion approximation for an overloaded \(X\) model via a stochastic averaging principle. Zbl 1310.60133
Perry, Ohad; Whitt, Ward
1
2014
Two-parameter heavy-traffic limits for infinite-server queues with dependent service times. Zbl 1264.60068
Pang, Guodong; Whitt, Ward
11
2013
A fluid limit for an overloaded \(X\) model via a stochastic averaging principle. Zbl 1305.60024
Perry, Ohad; Whitt, Ward
9
2013
Statistical analysis with Little’s Law. Zbl 1291.62158
Kim, Song-Hee; Whitt, Ward
6
2013
Estimating waiting times with the time-varying Little’s law. Zbl 06262191
Kim, Song-Hee; Whitt, Ward
3
2013
The \(G_{t}/GI/s_{t}+GI\) many-server fluid queue. Zbl 1275.60084
Liu, Yunan; Whitt, Ward
31
2012
Stabilizing customer abandonment in many-server queues with time-varying arrivals. Zbl 1263.90024
Liu, Yunan; Whitt, Ward
25
2012
A many-server fluid limit for the \(G_t/GI/s_t +GI\) queueing model experiencing periods of overloading. Zbl 1250.90027
Liu, Yunan; Whitt, Ward
23
2012
Infinite-server queues with batch arrivals and dependent service times. Zbl 1270.60105
Pang, Guodong; Whitt, Ward
15
2012
Fitting birth-and-death queueing models to data. Zbl 1241.62134
Whitt, Ward
6
2012
Extending the FCLT version of \(L=\lambda W\). Zbl 1260.60066
Whitt, Ward
2
2012
A network of time-varying many-server fluid queues with customer abandonment. Zbl 1233.90086
Liu, Yunan; Whitt, Ward
20
2011
Large-time asymptotics for the \(G_{t}/M_{t}/s_{t}+GI_{t}\) many-server fluid queue with abandonment. Zbl 1222.60073
Liu, Yunan; Whitt, Ward
15
2011
The asymptotic variance of departures in critically loaded queues. Zbl 1279.90045
Hanbali, A. Al; Mandjes, M.; Nazarathy, Y.; Whitt, W.
14
2011
Wait-time predictors for customer service systems with time-varying demand and capacity. Zbl 1233.90117
Ibrahim, Rouba; Whitt, Ward
13
2011
An ODE for an overloaded \(X\) model involving a stochastic averaging principle. Zbl 1291.60191
Perry, Ohad; Whitt, Ward
9
2011
A fluid approximation for service systems responding to unexpected overloads. Zbl 1233.90124
Perry, Ohad; Whitt, Ward
9
2011
Heavy-traffic limits for nearly deterministic queues. Zbl 1242.60098
Sigman, Karl; Whitt, Ward
8
2011
Heavy-traffic limits for nearly deterministic queues: Stationary distributions. Zbl 1237.60072
Sigman, Karl; Whitt, Ward
8
2011
Nearly periodic behavior in the overloaded \(G/D/s+GI\) queue. Zbl 1291.60189
Liu, Yunan; Whitt, Ward
6
2011
Brownian motion and the generalized Catalan numbers. Zbl 1229.11028
Abate, Joseph; Whitt, Ward
2
2011
Two-parameter heavy-traffic limits for infinite-server queues. Zbl 1231.60100
Pang, Guodong; Whitt, Ward
33
2010
Service-level differentiation in many-server service systems via queue-ratio routing. Zbl 1233.90116
Gurvich, Itai; Whitt, Ward
26
2010
Continuity of a queueing integral representation in the \(M_{1}\) topology. Zbl 1186.60098
Pang, Guodong; Whitt, Ward
10
2010
Integer sequences from queueing theory. Zbl 1238.11032
Abate, Joseph; Whitt, Ward
4
2010
A stochastic-difference-equation model for hedge-fund returns. Zbl 1194.91198
Derman, Emanuel; Park, Kun Soo; Whitt, Ward
1
2010
Queue-and-idleness-ratio controls in many-server service systems. Zbl 1213.60149
Gurvich, Itay; Whitt, Ward
31
2009
The impact of delay announcements in many-server queues with abandonment. Zbl 1181.90071
Armony, Mor; Shimkin, Nahum; Whitt, Ward
27
2009
Heavy-traffic limits for many-server queues with service interruptions. Zbl 1166.60336
Pang, Guodong; Whitt, Ward
20
2009
Heavy-traffic limits for waiting times in many-server queues with abandonment. Zbl 1185.60103
Talreja, Rishi; Whitt, Ward
16
2009
Real-time delay estimation in overloaded multiserver queues with abandonments. Zbl 1232.90149
Ibrahim, Rouba; Whitt, Ward
11
2009
Responding to unexpected overloads in large-scale service systems. Zbl 1232.90154
Perry, Ohad; Whitt, Ward
9
2009
Service interruptions in large-scale service systems. Zbl 1232.90132
Pang, Guodong; Whitt, Ward
8
2009
Heavy-traffic extreme value limits for Erlang delay models. Zbl 1209.90119
Pang, Guodong; Whitt, Ward
1
2009
Staffing of time-varying queues to achieve time-stable performance. Zbl 1232.90275
Feldman, Zohar; Mandelbaum, Avishai; Massey, William A.; Whitt, Ward
50
2008
Fluid models for overloaded multiclass many-server queueing systems with first-come, first-served routing. Zbl 1232.90156
Talreja, Rishi; Whitt, Ward
22
2008
The last departure time from an \(M_t/G/\infty\) queue with a terminating arrival process. Zbl 1143.60056
Goldberg, David Alan; Whitt, Ward
1
2008
Martingale proofs of many-server heavy-traffic limits for Markovian queues. Zbl 1189.60067
Pang, Guodong; Talreja, Rishi; Whitt, Ward
90
2007
Proofs of the martingale FCLT. Zbl 1189.60070
Whitt, Ward
54
2007
What you should know about queueing models to set staffing requirements in service systems. Zbl 1143.90322
Whitt, Ward
15
2007
Power algorithms for inverting Laplace transforms. Zbl 1241.65115
Avdis, Efstathios; Whitt, Ward
3
2007
Two-moment approximations for maxima. Zbl 1167.62369
Crow, Charles S. IV; Goldberg, David; Whitt, Ward
1
2007
A unified framework for numerically inverting Laplace transforms. Zbl 1241.65114
Abate, Joseph; Whitt, Ward
100
2006
Fluid models for multiserver queues with abandonments. Zbl 1167.90462
Whitt, Ward
51
2006
Sensitivity of performance in the Erlang-A queueing model to changes in the model parameters. Zbl 1167.90463
Whitt, Ward
5
2006
Engineering solution of a basic call-center model. Zbl 1232.90159
Whitt, Ward
33
2005
Heavy-traffic limits for the \(G/H_ 2^ */n/m\) queue. Zbl 1082.90019
Whitt, Ward
29
2005
Two fluid approximations for multi-server queues with abandonments. Zbl 1090.90043
Whitt, Ward
5
2005
Efficiency-driven heavy-traffic approximations for many-server queues with abandonments. Zbl 1232.90158
Whitt, Ward
44
2004
A diffusion approximation for the \(G/GI/n/m\) queue. Zbl 1165.90413
Whitt, Ward
26
2004
Heavy-traffic limits for loss proportions in single-server queues. Zbl 1056.90039
Whitt, Ward
4
2004
How multiserver queues scale with growing congestion-dependent demand. Zbl 1165.90412
Whitt, Ward
5
2003
Stochastic-process limits. An introduction to stochastic-process limits and their application to queues. Zbl 0993.60001
Whitt, Ward
463
2002
Necessary conditions in limit theorems for cumulative processes. Zbl 1059.60025
Glynn, Peter W.; Whitt, Ward
14
2002
The reflection map with discontinuities. Zbl 1073.90504
Whitt, Ward
7
2001
A nonstationary offered-load model for packet networks. Zbl 1030.68650
Duffield, N. G.; Massey, W. A.; Whitt, W.
3
2001
Resource sharing for book-ahead and instantaneous-request calls using a CLT approximation. Zbl 1030.68859
Srikant, R.; Whitt, Ward
1
2001
An introduction to numerical transform inversion and its application to probability models. Zbl 0945.65008
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
50
2000
...and 182 more Documents
all top 5

Cited by 3,523 Authors

111 Whitt, Ward
74 Mandjes, Michel Robertus Hendrikus
43 Glynn, Peter W.
41 Boxma, Onno Johan
41 Zwart, Bert P.
36 van Leeuwaarden, Johan S. H.
34 Pang, Guodong
33 Perry, David
27 Adan, Ivo J. B. F.
27 Kella, Offer
25 Asmussen, Søren
24 Stadje, Wolfgang
23 Atar, Rami
23 Pourbabai, Behnam
22 Blanchet, Jose H.
22 Pender, Jamol J.
20 Bruneel, Herwig
20 Liu, Yunan
19 Mandelbaum, Avi
18 van Dijk, Nico M.
17 Minkevičius, Saulius
16 Borst, Sem C.
15 Fralix, Brian H.
15 Ramanan, Kavita
15 Zeifman, Alexander Izrailevich
14 Abate, Joseph
14 Ahn, Soohan
14 Iksanov, Aleksander M.
14 Janssen, Augustus Josephus Elizabeth Maria
14 Stolyar, Alexander L.
13 Taylor, Peter Gerrard
13 Vlasiou, Maria
13 Yao, David D. W.
13 Zhao, Yiqiang Q.
12 El-Taha, Muhammad
12 Guo, Yongjiang
12 Kulkarni, Vidyadhar G.
12 Miyazawa, Masakiyo
12 Momčilović, Petar
12 Palmowski, Zbigniew
12 Walraevens, Joris
12 Ward, Amy R.
12 Wittevrongel, Sabine
11 Chaudhry, Mohan L.
11 Cui, Zhenyu
11 Denuit, Michel M.
11 Fusai, Gianluca
11 Knessl, Charles
11 Lee, Chihoon
11 Sigman, Karl
11 Zhang, Hanqin
11 Zhang, Jiheng
10 Arapostathis, Aristotle
10 Dębicki, Krzysztof
10 Down, Douglas G.
10 Economou, Antonis
10 Scheller-Wolf, Alan
10 Weiss, Gideon
9 Ata, Baris
9 Bekker, René
9 Boucherie, Richard J.
9 Fiems, Dieter
9 Ivanovs, Jevgeņijs
9 Kim, Bara
9 Kruk, Łukasz
9 Legros, Benjamin
9 O’Reilly, Małgorzata M.
9 Parthasarathy, Panamalai Ramarao
9 Perry, Ohad
9 Puhalskii, Anatolii A.
9 Reiman, Martin I.
9 Samorodnitsky, Gennady Pinkhosovich
9 Seppäläinen, Timo
9 Shanthikumar, Jeyaveerasingam George
8 Balcıoğlu, Barış
8 Bean, Nigel G.
8 Budhiraja, Amarjit S.
8 Cai, Ning
8 Duffy, Ken R.
8 Heidergott, Bernd F.
8 Jara, Milton D.
8 Krizmanić, Danijel
8 Kyprianou, Andreas E.
8 Marynych, Alexander V.
8 Massey, William A.
8 Mazumdar, Ravi R.
8 Nazarathy, Yoni
8 Reed, Josh E.
8 Resnick, Sidney Ira
8 Serfozo, Richard F.
8 van der Hofstad, Remco W.
8 Yang, Xuewei
8 Ziedins, Ilze
7 Artalejo, Jesus R.
7 Blom, Joke G.
7 Bo, Lijun
7 Černý, Jiří
7 Chen, Hong
7 Dai, J. G. (Jim)
7 Gamarnik, David
...and 3,423 more Authors
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Cited in 365 Serials

405 Queueing Systems
183 European Journal of Operational Research
136 Stochastic Processes and their Applications
121 Operations Research Letters
119 The Annals of Applied Probability
100 Probability in the Engineering and Informational Sciences
98 Journal of Applied Probability
82 Stochastic Models
80 Annals of Operations Research
72 Operations Research
63 Advances in Applied Probability
55 Statistics & Probability Letters
55 Computers & Operations Research
49 Stochastic Systems
45 Methodology and Computing in Applied Probability
38 Mathematics of Operations Research
36 Insurance Mathematics & Economics
30 The Annals of Probability
30 Quantitative Finance
27 Naval Research Logistics
25 Probability Theory and Related Fields
25 Mathematical Methods of Operations Research
23 Applied Mathematics and Computation
23 Communications in Statistics. Theory and Methods
22 Discrete Event Dynamic Systems
22 INFORMS Journal on Computing
21 International Journal of Theoretical and Applied Finance
20 Bernoulli
19 Computers & Mathematics with Applications
19 Journal of Statistical Physics
19 Journal of Computational and Applied Mathematics
18 Journal of Statistical Planning and Inference
16 Journal of Mathematical Analysis and Applications
16 Mathematical and Computer Modelling
16 Electronic Journal of Probability
15 Lithuanian Mathematical Journal
15 Journal of Multivariate Analysis
15 Journal of Theoretical Probability
15 Communications in Statistics. Simulation and Computation
13 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
13 Journal of Industrial and Management Optimization
12 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
12 Stochastic Analysis and Applications
12 Top
12 Extremes
11 Asia-Pacific Journal of Operational Research
11 Automation and Remote Control
11 Journal of Mathematical Sciences (New York)
11 Finance and Stochastics
11 Scandinavian Actuarial Journal
10 International Journal of Systems Science
10 Journal of Optimization Theory and Applications
10 OR Spectrum
10 Stochastics
9 Physica A
9 Journal of Economic Theory
9 Optimization
9 Journal of Economic Dynamics & Control
9 Applied Mathematical Modelling
9 Journal of Statistical Computation and Simulation
9 Applied Stochastic Models in Business and Industry
9 Journal of the Korean Statistical Society
8 Theory of Probability and its Applications
8 The Annals of Statistics
8 Journal of the American Statistical Association
8 Opsearch
8 Systems & Control Letters
8 Acta Mathematicae Applicatae Sinica. English Series
7 Communications in Mathematical Physics
7 Journal of Mathematical Biology
7 Automatica
7 Journal of Econometrics
7 Kybernetika
7 OR Spektrum
7 Acta Applicandae Mathematicae
7 Computational Statistics and Data Analysis
7 ACM Transactions on Modeling and Computer Simulation
6 Mathematical Biosciences
6 American Journal of Mathematical and Management Sciences
6 International Journal of Computer Mathematics
6 Electronic Communications in Probability
6 Mathematical Finance
6 Acta Mathematica Sinica. English Series
6 Frontiers of Mathematics in China
6 Journal of Physics A: Mathematical and Theoretical
6 Electronic Journal of Statistics
6 The Annals of Applied Statistics
5 Journal of Computational Physics
5 Journal of Fluid Mechanics
5 Annals of the Institute of Statistical Mathematics
5 Journal of Soviet Mathematics
5 SIAM Journal on Control and Optimization
5 Probability and Mathematical Statistics
5 International Journal of Production Research
5 SIAM Journal on Applied Mathematics
5 Stochastics and Stochastics Reports
5 Cybernetics and Systems Analysis
5 Mathematical Problems in Engineering
5 Fractional Calculus & Applied Analysis
5 Brazilian Journal of Probability and Statistics
...and 265 more Serials
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Cited in 45 Fields

2,237 Probability theory and stochastic processes (60-XX)
1,487 Operations research, mathematical programming (90-XX)
387 Statistics (62-XX)
361 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
300 Computer science (68-XX)
226 Numerical analysis (65-XX)
125 Systems theory; control (93-XX)
84 Statistical mechanics, structure of matter (82-XX)
75 Biology and other natural sciences (92-XX)
62 Integral transforms, operational calculus (44-XX)
61 Partial differential equations (35-XX)
31 Calculus of variations and optimal control; optimization (49-XX)
28 Combinatorics (05-XX)
28 Ordinary differential equations (34-XX)
26 Fluid mechanics (76-XX)
25 Dynamical systems and ergodic theory (37-XX)
20 Mechanics of deformable solids (74-XX)
18 Linear and multilinear algebra; matrix theory (15-XX)
18 Integral equations (45-XX)
17 Real functions (26-XX)
16 Approximations and expansions (41-XX)
14 Information and communication theory, circuits (94-XX)
12 Operator theory (47-XX)
11 Number theory (11-XX)
11 Functions of a complex variable (30-XX)
11 Special functions (33-XX)
10 Measure and integration (28-XX)
9 Functional analysis (46-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
5 General topology (54-XX)
5 Geophysics (86-XX)
4 Sequences, series, summability (40-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Convex and discrete geometry (52-XX)
2 General and overarching topics; collections (00-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Optics, electromagnetic theory (78-XX)
2 Quantum theory (81-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Potential theory (31-XX)
1 Algebraic topology (55-XX)
1 Mechanics of particles and systems (70-XX)
1 Relativity and gravitational theory (83-XX)

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