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## Whitt, Ward

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 Author ID: whitt.ward Published as: Whitt, Ward; Whitt, W. External Links: IdRef · MGP · Wikidata · dblp · GND
 Documents Indexed: 289 Publications since 1970, including 1 Book
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#### Co-Authors

 97 single-authored 34 Abate, Joseph 18 Choudhury, Gagan L. 18 Glynn, Peter W. 13 Liu, Yunan 13 Massey, William A. 9 Pang, Guodong 7 Berger, Arthur W. 7 Kella, Offer 7 Perry, Ohad 6 Kim, Song-Hee 5 You, Wei 4 Duffield, Nick G. 4 Lucantoni, David M. 3 Iglehart, Donald L. 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 Chen, Yan 2 Dong, James 2 Eick, Stephen G. 2 Fendick, Kerry W. 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 Chen, Hong 1 Coffman, Edward Grady jun. 1 Crow, Charles S. IV 1 Davis, Jimmie L. 1 Derman, Emanuel 1 Donnelly, Peter 1 Feldman, Zohar 1 Flatto, Leopold 1 Goroff, Daniel L. 1 He, Beixiang 1 Hjálmtýsson, Gísli 1 Jennings, Otis B. 1 Kang, Wanmo 1 Kijima, Masaaki 1 Klincewicz, John G. 1 Korhan Aras, A. 1 Mandjes, Michel Robertus Hendrikus 1 Nazarathy, Yoni 1 Nozari, Ardavan 1 Reiman, Martin I. 1 Shahabuddin, Perwez 1 Shimkin, Nahum 1 Shubik, Martin 1 Sleeman, Brian D. 1 Sun, Bo 1 Tsang, Danny H. K. 1 Vel, Ponni 1 Yu, Yao
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#### Serials

 40 Queueing Systems 37 Operations Research 26 Operations Research Letters 24 Management Science 19 Journal of Applied Probability 16 Advances in Applied Probability 14 Mathematics of Operations Research 12 Communications in Statistics. Stochastic Models 12 The Annals of Applied Probability 11 Probability in the Engineering and Informational Sciences 9 INFORMS Journal on Computing 7 Stochastic Systems 6 AT& T Bell Laboratories Technical Journal 5 Naval Research Logistics 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Statistics & Probability Letters 3 Stochastic Processes and their Applications 3 ACM Transactions on Modeling and Computer Simulation 2 Performance Evaluation 2 Journal of Applied Mathematics and Stochastic Analysis 2 Annals of Operations Research 2 European Journal of Operational Research 2 Journal of Integer Sequences 2 2 Probability Surveys 2 Annals of Mathematical Statistics 1 Bell System Technical Journal 1 Journal of Mathematical Analysis and Applications 1 The Annals of Statistics 1 Journal of the American Statistical Association 1 Journal of the Association for Computing Machinery 1 Journal of Economic Theory 1 Journal of the Operations Research Society of Japan 1 Networks 1 SIAM Journal on Control and Optimization 1 Discrete Event Dynamic Systems 1 ORSA Journal on Computing 1 Quantitative Finance 1 Naval Research Logistics Quarterly
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#### Fields

 223 Probability theory and stochastic processes (60-XX) 189 Operations research, mathematical programming (90-XX) 22 Statistics (62-XX) 17 Numerical analysis (65-XX) 13 Computer science (68-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Integral transforms, operational calculus (44-XX) 2 Number theory (11-XX) 2 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Systems theory; control (93-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

269 Publications have been cited 4,997 times in 2,727 Documents Cited by Year
Stochastic-process limits. An introduction to stochastic-process limits and their application to queues. Zbl 0993.60001
Whitt, Ward
2002
The Fourier-series method for inverting transforms of probability distributions. Zbl 0749.60013
Abate, Joseph; Whitt, Ward
1992
Numerical inversion of Laplace transforms of probability distributions. Zbl 0821.65085
Abate, Joseph; Whitt, Ward
1995
Heavy-traffic limits for queues with many exponential servers. Zbl 0455.60079
Halfin, Shlomo; Whitt, Ward
1981
Some useful functions for functional limit theorems. Zbl 0428.60010
Whitt, Ward; Sleeman, B. D.
1980
Approximating a point process by a renewal process. I: Two basic methods. Zbl 0481.90025
Whitt, Ward
1982
Multiple channel queues in heavy traffic. I. Zbl 0218.60098
Iglehart, D. L.; Whitt, W.
1970
Martingale proofs of many-server heavy-traffic limits for Markovian queues. Zbl 1189.60067
Pang, Guodong; Talreja, Rishi; Whitt, Ward
2007
A unified framework for numerically inverting Laplace transforms. Zbl 1241.65114
Abate, Joseph; Whitt, Ward
2006
Useful martingales for stochastic storage processes with Lévy input. Zbl 0761.60065
Kella, Offer; Whitt, Ward
1992
Multiple channel queues in heavy traffic. II: Sequences, networks, and batches. Zbl 0206.22503
Iglehart, D. L.; Whitt, W.
1970
Bivariate distributions with given marginals. Zbl 0367.62022
Whitt, Ward
1976
Logarithmic asymptotics for steady-state tail probabilities in a single- server queue. Zbl 0805.60093
Glynn, Peter W.; Whitt, Ward
1994
Departures from many queues in series. Zbl 0749.60090
Glynn, Peter W.; Whitt, Ward
1991
Weak convergence of probability measures on the function space $$C[0,\infty)$$. Zbl 0203.50501
Whitt, W.
1970
Deciding which queue to join: Some counterexamples. Zbl 0622.90035
Whitt, Ward
1986
Approximations of dynamic programs. I. Zbl 0393.90094
Whitt, Ward
1978
Networks of infinite-server queues with nonstationary Poisson input. Zbl 0778.60068
Massey, William A.; Whitt, Ward
1993
The asymptotic efficiency of simulation estimators. Zbl 0760.62009
Glynn, Peter W.; Whitt, Ward
1992
Numerical inversion of probability generating functions. Zbl 0758.60014
Abate, Joseph; Whitt, Ward
1992
Comparing counting processes and queues. Zbl 0449.60064
Whitt, Ward
1981
The physics of the $$M_ t/G/\infty$$ queue. Zbl 0781.60086
Eick, Stephen G.; Massey, William A.; Whitt, Ward
1993
Proofs of the martingale FCLT. Zbl 1189.60070
Whitt, Ward
2007
Server staffing to meet time-varying demand. Zbl 0880.90052
Jennings, Otis B.; Mandelbaum, Avishai; Massey, William A.; Whitt, Ward
1996
Staffing of time-varying queues to achieve time-stable performance. Zbl 1232.90275
Feldman, Zohar; Mandelbaum, Avishai; Massey, William A.; Whitt, Ward
2008
An introduction to numerical transform inversion and its application to probability models. Zbl 0945.65008
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
2000
Fluid models for multiserver queues with abandonments. Zbl 1167.90462
Whitt, Ward
2006
Asymptotics for M/G/1 low-priority waiting-time tail probabilities. Zbl 0894.60088
Abate, Joseph; Whitt, Ward
1997
Transient behavior of the M/M/1 queue via Laplace transforms. Zbl 0638.60097
Abate, Joseph; Whitt, Ward
1988
Continuity of generalized semi-Markov processes. Zbl 0447.60074
Whitt, Ward
1980
$$M_ t/G/\infty$$ queues with sinusoidal arrival rates. Zbl 0773.60086
Eick, Stephen G.; Massey, William A.; Whitt, Ward
1993
On arrivals that see time averages. Zbl 0702.60093
Melamed, Benjamin; Whitt, Ward
1990
Efficiency-driven heavy-traffic approximations for many-server queues with abandonments. Zbl 1232.90158
Whitt, Ward
2004
Multidimensional transform inversion with applications to the transient $$M/G/1$$ queue. Zbl 0808.65140
Choudhury, Gagan L.; Lucantoni, David M.; Whitt, Ward
1994
Weak convergence theorems for priority queues: Preemptive-resume discipline. Zbl 0215.53801
Whitt, W.
1971
Transient behavior of regulated Brownian motion. I: Starting at the origin. Zbl 0628.60083
Abate, Joseph; Whitt, Ward
1987
Improving service by informing customers about anticipated delays. Zbl 1231.90285
Whitt, Ward
1999
A review of $$L=\lambda W$$ and extensions. Zbl 0727.60112
Whitt, Ward
1991
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
Blocking when service is required from several facilities simultaneously. Zbl 0591.90035
Whitt, W.
1985
Planning queueing simulations. Zbl 0683.60075
Whitt, Ward
1989
Heavy traffic limit theorems for queues: a survey. Zbl 0295.60081
Whitt, Ward
1974
On the heavy-traffic limit theorem for GI/G/infinity queues. Zbl 0479.60090
Whitt, Ward
1982
Uniform acceleration expansions for Markov chains with time-varying rates. Zbl 0937.60066
Massey, William A.; Whitt, Ward
1998
Queue-and-idleness-ratio controls in many-server service systems. Zbl 1213.60149
Gurvich, Itay; Whitt, Ward
2009
Resource sharing for efficiency in traffic systems. Zbl 0447.90028
Smith, D. R.; Whitt, W.
1981
Engineering solution of a basic call-center model. Zbl 1232.90159
Whitt, Ward
2005
Waiting-time tail probabilities in queues with long-tail service-time distributions. Zbl 0805.60097
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
1994
A storage model with a two-state random environment. Zbl 0825.90344
Kella, Offer; Whitt, Ward
1992
Heavy-traffic limits for the $$G/H_ 2^ */n/m$$ queue. Zbl 1082.90019
Whitt, Ward
2005
Diffusion approximations for queues with server vacations. Zbl 0713.60101
Kella, Offer; Whitt, Ward
1990
Approximations of dynamic programs. II. Zbl 0408.90082
Whitt, Ward
1979
Asymptotics for steady-state tail probabilities in structured Markov queueing models. Zbl 0801.60082
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
1994
Large deviations behavior of counting processes and their inverses. Zbl 0805.60023
Glynn, Peter W.; Whitt, Ward
1994
The pointwise stationary approximation for $$M_ t/M_ t/s$$ queues is asymptotically correct as the rates increase. Zbl 0734.60094
Whitt, Ward
1991
A new view of the heavy-traffic limit theorem for infinite-server queues. Zbl 0716.60105
Glynn, Peter W.; Whitt, Ward
1991
Uniform conditional variability ordering of probability distributions. Zbl 0571.60022
Whitt, Ward
1985
Understanding the efficiency of multi-server service systems. Zbl 0825.90409
Whitt, Ward
1992
Open and closed models for networks of queues. Zbl 0594.90032
Whitt, W.
1984
An analysis of the modified offered-load approximation for the nonstationary Erlang loss model. Zbl 0812.60082
Massey, William A.; Whitt, Ward
1994
A diffusion approximation for the $$G/GI/n/m$$ queue. Zbl 1165.90413
Whitt, Ward
2004
Functional large deviation principles for first-passage-time processes. Zbl 0885.60023
Puhalskii, Anatolii A.; Whitt, Ward
1997
On approximations for queues. III: Mixtures of exponential distributions. Zbl 0598.90042
Whitt, W.
1984
Approximations for departure processes and queues in series. Zbl 0563.60094
Whitt, Ward
1984
A central-limit-theorem version of $$L=\lambda W$$. Zbl 0676.60088
Glynn, P. W.; Whitt, W.
1986
The $$G_{t}/GI/s_{t}+GI$$ many-server fluid queue. Zbl 1275.60084
Liu, Yunan; Whitt, Ward
2012
Queues with server vacations and Lévy processes with secondary jump input. Zbl 0725.60079
Kella, Offer; Whitt, Ward
1991
The equivalence of functional central limit theorems for counting processes and associated partial sums. Zbl 0226.60028
Iglehart, Donald L.; Whitt, Ward
1971
Stabilizing customer abandonment in many-server queues with time-varying arrivals. Zbl 1263.90024
Liu, Yunan; Whitt, Ward
2012
Exponential approximations for tail probabilities in queues. I: Waiting times. Zbl 0841.60076
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
1995
Portfolio choice and the Bayesian Kelly criterion. Zbl 0867.90010
Browne, Sid; Whitt, Ward
1996
Stability and structural properties of stochastic storage networks. Zbl 0867.60081
Kella, Offer; Whitt, Ward
1996
Transient behavior of the $$M/G/1$$ workload process. Zbl 0833.90042
Abate, Joseph; Whitt, Ward
1994
Multivariate monotone likelihood ratio and uniform conditional stochastic order. Zbl 0487.60015
Whitt, Ward
1982
On the Laguerre method for numerically inverting Laplace transforms. Zbl 0887.60100
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
1996
Refining diffusion approximations for queues. Zbl 0538.90025
Whitt, Ward
1982
An interpolation approximation for the mean workload in a GI/G/1 queue. Zbl 0696.60086
Whitt, Ward
1989
Service-level differentiation in many-server service systems via queue-ratio routing. Zbl 1233.90116
Gurvich, Itai; Whitt, Ward
2010
The impact of delay announcements in many-server queues with abandonment. Zbl 1181.90071
Armony, Mor; Shimkin, Nahum; Whitt, Ward
2009
Piecewise-linear diffusion processes. Zbl 0845.60087
Browne, Sid; Whitt, Ward
1995
Computing Laplace transforms for numerical inversion via continued fractions. Zbl 1039.65512
Abate, Joseph; Whitt, Ward
1999
Stochastic comparisons for non-Markov processes. Zbl 0609.60046
Whitt, Ward
1986
Transient behavior of regulated Brownian motion. II: Non-zero initial conditions. Zbl 0628.60084
Abate, Joseph; Whitt, Ward
1987
Untold horrors of the waiting room: What the equilibrium distribution will never tell about the queue-length process. Zbl 0517.60092
Whitt, Ward
1983
Stabilizing performance in networks of queues with time-varying arrival rates. Zbl 1371.60162
Liu, Yunan; Whitt, Ward
2014
Many-server heavy-traffic limit for queues with time-varying parameters. Zbl 1290.60092
Liu, Yunan; Whitt, Ward
2014
The impact of a heavy-tailed service-time distribution upon the $$\text{M}/\text{GI}/s$$ waiting-time distribution. Zbl 0967.60093
Whitt, Ward
2000
On approximations for queues. I: Extremal distributions. Zbl 0598.90040
Whitt, W.
1984
Sufficient conditions for functional-limit-theorem versions of $$L=\lambda W$$. Zbl 0681.60097
Glynn, P. W.; Whitt, W.
1987
On arrivals that see time averages: A martingale approach. Zbl 0713.60098
Melamed, Benjamin; Whitt, Ward
1990
Representation and approximation of noncooperative sequential games. Zbl 0428.90094
Whitt, Ward
1980
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
2012
The asymptotic validity of sequential stopping rules for stochastic simulations. Zbl 0792.68200
Glynn, Peter W.; Whitt, Ward
1992
Asymptotic formulas for Markov processes with applications to simulation. Zbl 0748.60062
Whitt, Ward
1992
Solving probability transform functional equations for numerical inversion. Zbl 0766.60107
Abate, Joseph; Whitt, Ward
1992
Heavy-traffic approximations for service systems with blocking. Zbl 0591.90034
Whitt, W.
1984
Indirect estimation via $$L=\lambda W$$. Zbl 0719.62098
Glynn, Peter W.; Whitt, Ward
1989
Stochastic Abelian and Tauberian theorems. Zbl 0242.60005
Whitt, Ward
1972
A network of time-varying many-server fluid queues with customer abandonment. Zbl 1233.90086
Liu, Yunan; Whitt, Ward
2011
Algorithms for the upper bound mean waiting time in the $$\mathrm{GI}/\mathrm{GI}/1$$ queue. Zbl 1434.90039
Chen, Yan; Whitt, Ward
2020
Minimizing the maximum expected waiting time in a periodic single-server queue with a service-rate control. Zbl 1446.60071
Ma, Ni; Whitt, Ward
2019
The advantage of indices of dispersion in queueing approximations. Zbl 07165759
Whitt, Ward; You, Wei
2019
Marked point processes in discrete time. Zbl 1427.60060
Sigman, Karl; Whitt, Ward
2019
A central-limit-theorem version of the periodic Little’s law. Zbl 1450.60023
Whitt, Ward; Zhang, Xiaopei
2019
Time-varying robust queueing. Zbl 1444.90047
Whitt, Ward; You, Wei
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
2019
Using robust queueing to expose the impact of dependence in single-server queues. Zbl 1442.90058
Whitt, Ward; You, Wei
2018
Heavy-traffic limit of the $$GI/GI/1$$ stationary departure process and its variance function. Zbl 1446.60076
Whitt, Ward; You, Wei
2018
A broad view of queueing theory through one issue. Zbl 1408.60088
Whitt, Ward
2018
Stabilizing performance in a service system with time-varying arrivals and customer feedback. Zbl 1394.90201
Liu, Yunan; Whitt, Ward
2017
Heavy-traffic limit for the initial content process. Zbl 1367.60115
Korhan Aras, A.; Liu, Yunan; Whitt, Ward
2017
Many-server loss models with non-poisson time-varying arrivals. Zbl 1411.90104
Whitt, Ward; Zhao, Jingtong
2017
Staffing a service system with non-Poisson non-stationary arrivals. Zbl 1370.90135
He, Beixiang; Liu, Yunan; Whitt, Ward
2016
Efficient simulation of non-Poisson non-stationary point processes to study queueing approximations. Zbl 1382.60118
Ma, Ni; Whitt, Ward
2016
Staffing to stabilize blocking in loss models with time-varying arrival rates. Zbl 1370.90090
Li, Andrew; Whitt, Ward; Zhao, Jingtong
2016
Chattering and congestion collapse in an overload switching control. Zbl 1356.60155
2016
Heavy-traffic limits for a single-server queue leading up to a critical point. Zbl 1408.90101
Whitt, Ward
2016
Heavy-traffic fluid limits for periodic infinite-server queues. Zbl 1348.60135
Whitt, Ward
2016
A Poisson limit for the departure process from a queue with many busy servers. Zbl 1408.60089
Whitt, Ward
2016
Approximations for heavily loaded $$G/GI/n+GI$$ queues. Zbl 1411.90097
Liu, Yunan; Whitt, Ward; Yu, Yao
2016
Stabilizing performance in a single-server queue with time-varying arrival rate. Zbl 1332.60131
Whitt, Ward
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
2015
Stochastic grey-box modeling of queueing systems: fitting birth-and-death processes to data. Zbl 1317.60119
Dong, James; Whitt, Ward
2015
Using a birth-and-death process to estimate the steady-state distribution of a periodic queue. Zbl 1411.90093
Dong, James; Whitt, Ward
2015
Stabilizing performance in networks of queues with time-varying arrival rates. Zbl 1371.60162
Liu, Yunan; Whitt, Ward
2014
Many-server heavy-traffic limit for queues with time-varying parameters. Zbl 1290.60092
Liu, Yunan; Whitt, Ward
2014
Heavy-traffic limits for queues with periodic arrival processes. Zbl 1408.90100
Whitt, Ward
2014
Algorithms for time-varying networks of many-server fluid queues. Zbl 1356.90040
Liu, Yunan; Whitt, Ward
2014
Choosing arrival process models for service systems: tests of a nonhomogeneous Poisson process. Zbl 1411.90095
Kim, Song-Hee; Whitt, Ward
2014
The steady-state distribution of the $$M_t / M / \infty$$ queue with a sinusoidal arrival rate function. Zbl 1408.90099
Whitt, Ward
2014
Diffusion approximation for an overloaded $$X$$ model via a stochastic averaging principle. Zbl 1310.60133
2014
Two-parameter heavy-traffic limits for infinite-server queues with dependent service times. Zbl 1264.60068
Pang, Guodong; Whitt, Ward
2013
A fluid limit for an overloaded $$X$$ model via a stochastic averaging principle. Zbl 1305.60024
2013
Statistical analysis with Little’s Law. Zbl 1291.62158
Kim, Song-Hee; Whitt, Ward
2013
Estimating waiting times with the time-varying Little’s law. Zbl 06262191
Kim, Song-Hee; Whitt, Ward
2013
The $$G_{t}/GI/s_{t}+GI$$ many-server fluid queue. Zbl 1275.60084
Liu, Yunan; Whitt, Ward
2012
Stabilizing customer abandonment in many-server queues with time-varying arrivals. Zbl 1263.90024
Liu, Yunan; Whitt, Ward
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
2012
Infinite-server queues with batch arrivals and dependent service times. Zbl 1270.60105
Pang, Guodong; Whitt, Ward
2012
Fitting birth-and-death queueing models to data. Zbl 1241.62134
Whitt, Ward
2012
Extending the FCLT version of $$L=\lambda W$$. Zbl 1260.60066
Whitt, Ward
2012
A network of time-varying many-server fluid queues with customer abandonment. Zbl 1233.90086
Liu, Yunan; Whitt, Ward
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
2011
Wait-time predictors for customer service systems with time-varying demand and capacity. Zbl 1233.90117
Ibrahim, Rouba; Whitt, Ward
2011
The asymptotic variance of departures in critically loaded queues. Zbl 1279.90045
Hanbali, A. Al; Mandjes, M.; Nazarathy, Y.; Whitt, W.
2011
A fluid approximation for service systems responding to unexpected overloads. Zbl 1233.90124
2011
An ODE for an overloaded $$X$$ model involving a stochastic averaging principle. Zbl 1291.60191
2011
Heavy-traffic limits for nearly deterministic queues: Stationary distributions. Zbl 1237.60072
Sigman, Karl; Whitt, Ward
2011
Heavy-traffic limits for nearly deterministic queues. Zbl 1242.60098
Sigman, Karl; Whitt, Ward
2011
Nearly periodic behavior in the overloaded $$G/D/s+GI$$ queue. Zbl 1291.60189
Liu, Yunan; Whitt, Ward
2011
Brownian motion and the generalized Catalan numbers. Zbl 1229.11028
Abate, Joseph; Whitt, Ward
2011
Two-parameter heavy-traffic limits for infinite-server queues. Zbl 1231.60100
Pang, Guodong; Whitt, Ward
2010
Service-level differentiation in many-server service systems via queue-ratio routing. Zbl 1233.90116
Gurvich, Itai; Whitt, Ward
2010
Continuity of a queueing integral representation in the $$M_{1}$$ topology. Zbl 1186.60098
Pang, Guodong; Whitt, Ward
2010
Integer sequences from queueing theory. Zbl 1238.11032
Abate, Joseph; Whitt, Ward
2010
A stochastic-difference-equation model for hedge-fund returns. Zbl 1194.91198
Derman, Emanuel; Park, Kun Soo; Whitt, Ward
2010
Queue-and-idleness-ratio controls in many-server service systems. Zbl 1213.60149
Gurvich, Itay; Whitt, Ward
2009
The impact of delay announcements in many-server queues with abandonment. Zbl 1181.90071
Armony, Mor; Shimkin, Nahum; Whitt, Ward
2009
Heavy-traffic limits for waiting times in many-server queues with abandonment. Zbl 1185.60103
Talreja, Rishi; Whitt, Ward
2009
Heavy-traffic limits for many-server queues with service interruptions. Zbl 1166.60336
Pang, Guodong; Whitt, Ward
2009
Responding to unexpected overloads in large-scale service systems. Zbl 1232.90154
2009
Service interruptions in large-scale service systems. Zbl 1232.90132
Pang, Guodong; Whitt, Ward
2009
Real-time delay estimation in overloaded multiserver queues with abandonments. Zbl 1232.90149
Ibrahim, Rouba; Whitt, Ward
2009
Heavy-traffic extreme value limits for Erlang delay models. Zbl 1209.90119
Pang, Guodong; Whitt, Ward
2009
Staffing of time-varying queues to achieve time-stable performance. Zbl 1232.90275
Feldman, Zohar; Mandelbaum, Avishai; Massey, William A.; Whitt, Ward
2008
Fluid models for overloaded multiclass many-server queueing systems with first-come, first-served routing. Zbl 1232.90156
Talreja, Rishi; Whitt, Ward
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
2008
Martingale proofs of many-server heavy-traffic limits for Markovian queues. Zbl 1189.60067
Pang, Guodong; Talreja, Rishi; Whitt, Ward
2007
Proofs of the martingale FCLT. Zbl 1189.60070
Whitt, Ward
2007
What you should know about queueing models to set staffing requirements in service systems. Zbl 1143.90322
Whitt, Ward
2007
Power algorithms for inverting Laplace transforms. Zbl 1241.65115
Avdis, Efstathios; Whitt, Ward
2007
Two-moment approximations for maxima. Zbl 1167.62369
Crow, Charles S. IV; Goldberg, David; Whitt, Ward
2007
A unified framework for numerically inverting Laplace transforms. Zbl 1241.65114
Abate, Joseph; Whitt, Ward
2006
Fluid models for multiserver queues with abandonments. Zbl 1167.90462
Whitt, Ward
2006
Sensitivity of performance in the Erlang-A queueing model to changes in the model parameters. Zbl 1167.90463
Whitt, Ward
2006
Engineering solution of a basic call-center model. Zbl 1232.90159
Whitt, Ward
2005
Heavy-traffic limits for the $$G/H_ 2^ */n/m$$ queue. Zbl 1082.90019
Whitt, Ward
2005
Two fluid approximations for multi-server queues with abandonments. Zbl 1090.90043
Whitt, Ward
2005
Efficiency-driven heavy-traffic approximations for many-server queues with abandonments. Zbl 1232.90158
Whitt, Ward
2004
A diffusion approximation for the $$G/GI/n/m$$ queue. Zbl 1165.90413
Whitt, Ward
2004
Heavy-traffic limits for loss proportions in single-server queues. Zbl 1056.90039
Whitt, Ward
2004
How multiserver queues scale with growing congestion-dependent demand. Zbl 1165.90412
Whitt, Ward
2003
Stochastic-process limits. An introduction to stochastic-process limits and their application to queues. Zbl 0993.60001
Whitt, Ward
2002
Necessary conditions in limit theorems for cumulative processes. Zbl 1059.60025
Glynn, Peter W.; Whitt, Ward
2002
The reflection map with discontinuities. Zbl 1073.90504
Whitt, Ward
2001
A nonstationary offered-load model for packet networks. Zbl 1030.68650
Duffield, N. G.; Massey, W. A.; Whitt, W.
2001
Resource sharing for book-ahead and instantaneous-request calls using a CLT approximation. Zbl 1030.68859
Srikant, R.; Whitt, Ward
2001
An introduction to numerical transform inversion and its application to probability models. Zbl 0945.65008
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
2000
The impact of a heavy-tailed service-time distribution upon the $$\text{M}/\text{GI}/s$$ waiting-time distribution. Zbl 0967.60093
Whitt, Ward
2000
Limits for cumulative input processes to queues. Zbl 0979.60089
Whitt, Ward
2000
An overview of Brownian and non-Brownian FCLTs for the single-server queue. Zbl 0967.60038
Whitt, Ward
2000
Workload bounds in fluid models with priorities. Zbl 1016.68015
Berger, Arthur W.; Whitt, Ward
2000
Predicting response times in processor-sharing queues. Zbl 0981.90011
Ward, A. R.; Whitt, W.
2000
Improving service by informing customers about anticipated delays. Zbl 1231.90285
Whitt, Ward
1999
Computing Laplace transforms for numerical inversion via continued fractions. Zbl 1039.65512
Abate, Joseph; Whitt, Ward
1999
Dynamic staffing in a telephone call center aiming to immediately answer all calls. Zbl 0947.90029
Whitt, Ward
1999
Partitioning customers into service groups. Zbl 0944.90014
Whitt, Ward
1999
Linear stochastic fluid networks. Zbl 0944.60093
Kella, Offer; Whitt, Ward
1999
Infinite-series representations of Laplace transforms of probability density functions for numerical inversion. Zbl 1002.60016
Abate, Joseph; Whitt, Ward
1999
...and 169 more Documents
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#### Cited by 3,014 Authors

 102 Whitt, Ward 65 Mandjes, Michel Robertus Hendrikus 38 Glynn, Peter W. 35 Boxma, Onno Johan 35 Zwart, Bert P. 32 Perry, David 31 van Leeuwaarden, Johan S. H. 24 Adan, Ivo J. B. F. 24 Pang, Guodong 24 Stadje, Wolfgang 23 Asmussen, Søren 23 Pourbabai, Behnam 22 Kella, Offer 20 Blanchet, Jose H. 19 Atar, Rami 19 Bruneel, Herwig 18 Mandelbaum, Avi 18 Pender, Jamol 18 van Dijk, Nico M. 15 Liu, Yunan 15 Zeifman, Alexander Izrailevich 14 Abate, Joseph 14 Ahn, Soohan 13 Fralix, Brian H. 13 Janssen, Augustus Josephus Elizabeth Maria 13 Minkevičius, Saulius 13 Ramanan, Kavita 12 El-Taha, Muhammad 12 Miyazawa, Masakiyo 12 Yao, David D. W. 11 Borst, Sem C. 11 Guo, Yongjiang 11 Knessl, Charles 11 Stolyar, Alexander L. 11 Taylor, Peter Gerrard 11 Wittevrongel, Sabine 11 Zhao, Yiqiang Q. 10 Denuit, Michel M. 10 Economou, Antonis 10 Fusai, Gianluca 10 Kulkarni, Vidyadhar G. 10 Momčilović, Petar 10 Sigman, Karl 10 Vlasiou, Maria 9 Ata, Baris 9 Boucherie, Richard J. 9 Iksanov, Aleksander M. 9 Palmowski, Zbigniew 9 Parthasarathy, Panamalai Ramarao 9 Reiman, Martin I. 9 Shanthikumar, Jeyaveerasingam George 9 Walraevens, Joris 9 Ward, Amy R. 9 Zhang, Hanqin 9 Zhang, Jiheng 8 Cai, Ning 8 Cui, Zhenyu 8 Dębicki, Krzysztof 8 Duffy, Ken R. 8 Fiems, Dieter 8 Ivanovs, Jevgeņijs 8 Jara, Milton D. 8 Kim, Bara 8 Kruk, Łukasz 8 Kyprianou, Andreas E. 8 Lee, Chihoon 8 Massey, William A. 8 Mazumdar, Ravi R. 8 O’Reilly, Małgorzata M. 8 Puhalskii, Anatolii A. 8 Samorodnitsky, Gennady Pinkhosovich 8 Scheller-Wolf, Alan 8 Serfozo, Richard F. 8 Weiss, Gideon 8 Yang, Xuewei 8 Ziedins, Ilze 7 Artalejo, Jesus R. 7 Bean, Nigel G. 7 Bekker, René 7 Blom, Joke G. 7 Bo, Lijun 7 Černý, Jiří 7 Chaudhry, Mohan L. 7 Chen, Hong 7 Dai, J. G. (Jim) 7 Down, Douglas G. 7 Gamarnik, David 7 Glasserman, Paul 7 Haas, Peter J. 7 Heidergott, Bernd F. 7 Kharoufeh, Jeffrey P. 7 Krizmanić, Danijel 7 Li, Quanlin 7 Marazzina, Daniele 7 Meyn, Sean P. 7 Reed, Josh E. 7 Resnick, Sidney Ira 7 Rolski, Tomasz 7 Shaked, Moshe 7 Taqqu, Murad S. ...and 2,914 more Authors
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#### Cited in 322 Serials

 363 Queueing Systems 166 European Journal of Operational Research 122 Stochastic Processes and their Applications 106 The Annals of Applied Probability 104 Operations Research Letters 89 Journal of Applied Probability 86 Probability in the Engineering and Informational Sciences 78 Stochastic Models 72 Annals of Operations Research 54 Advances in Applied Probability 53 Operations Research 52 Computers & Operations Research 50 Statistics & Probability Letters 38 Stochastic Systems 37 Methodology and Computing in Applied Probability 35 Insurance Mathematics & Economics 31 Mathematics of Operations Research 29 Quantitative Finance 27 The Annals of Probability 25 Mathematical Methods of Operations Research 22 Probability Theory and Related Fields 22 Discrete Event Dynamic Systems 20 Communications in Statistics. Theory and Methods 20 International Journal of Theoretical and Applied Finance 19 Applied Mathematics and Computation 19 Bernoulli 19 INFORMS Journal on Computing 18 Journal of Statistical Physics 18 Journal of Statistical Planning and Inference 17 Computers & Mathematics with Applications 17 Naval Research Logistics 16 Mathematical and Computer Modelling 15 Journal of Multivariate Analysis 14 Journal of Mathematical Analysis and Applications 14 Lithuanian Mathematical Journal 14 Journal of Computational and Applied Mathematics 14 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 14 Journal of Theoretical Probability 12 Top 11 Stochastic Analysis and Applications 11 Asia-Pacific Journal of Operational Research 11 Automation and Remote Control 11 Communications in Statistics. Simulation and Computation 11 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 10 International Journal of Systems Science 10 Journal of Optimization Theory and Applications 10 Journal of Mathematical Sciences (New York) 10 Finance and Stochastics 9 Journal of Economic Theory 9 Optimization 9 Applied Mathematical Modelling 9 OR Spectrum 9 Journal of the Korean Statistical Society 8 Theory of Probability and its Applications 8 Opsearch 8 Systems & Control Letters 8 Acta Mathematicae Applicatae Sinica. English Series 8 Electronic Journal of Probability 8 Extremes 8 Applied Stochastic Models in Business and Industry 8 Scandinavian Actuarial Journal 8 Journal of Industrial and Management Optimization 8 Stochastics 7 Communications in Mathematical Physics 7 Automatica 7 Journal of Econometrics 7 Kybernetika 7 OR Spektrum 7 Acta Applicandae Mathematicae 7 Journal of Statistical Computation and Simulation 7 ACM Transactions on Modeling and Computer Simulation 6 Journal of Mathematical Biology 6 Mathematical Biosciences 6 The Annals of Statistics 6 American Journal of Mathematical and Management Sciences 6 Journal of Economic Dynamics & Control 6 Computational Statistics and Data Analysis 6 Mathematical Finance 6 Frontiers of Mathematics in China 6 The Annals of Applied Statistics 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 Acta Mathematica Sinica. English Series 5 ASTIN Bulletin 5 4OR 5 Electronic Journal of Statistics 5 SIAM Journal on Financial Mathematics 5 Journal of Theoretical Biology 4 Journal of Computational Physics 4 Bulletin of Mathematical Biology 4 Journal of the American Statistical Association 4 Transactions of the American Mathematical Society 4 International Journal of Computer Mathematics ...and 222 more Serials
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#### Cited in 44 Fields

 1,931 Probability theory and stochastic processes (60-XX) 1,313 Operations research, mathematical programming (90-XX) 334 Statistics (62-XX) 326 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 268 Computer science (68-XX) 191 Numerical analysis (65-XX) 117 Systems theory; control (93-XX) 65 Statistical mechanics, structure of matter (82-XX) 65 Biology and other natural sciences (92-XX) 48 Integral transforms, operational calculus (44-XX) 38 Partial differential equations (35-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 24 Combinatorics (05-XX) 24 Ordinary differential equations (34-XX) 17 Dynamical systems and ergodic theory (37-XX) 16 Integral equations (45-XX) 16 Fluid mechanics (76-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 13 Mechanics of deformable solids (74-XX) 13 Information and communication theory, circuits (94-XX) 12 Real functions (26-XX) 12 Approximations and expansions (41-XX) 11 Functions of a complex variable (30-XX) 10 Number theory (11-XX) 10 Operator theory (47-XX) 8 Special functions (33-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Functional analysis (46-XX) 7 Measure and integration (28-XX) 4 Sequences, series, summability (40-XX) 4 General topology (54-XX) 4 Geophysics (86-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 Convex and discrete geometry (52-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Potential theory (31-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX)

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