Edit Profile (opens in new tab) Whitt, Ward Compute Distance To: Compute Author ID: whitt.ward Published as: Whitt, Ward; Whitt, W. External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 295 Publications since 1970, including 1 Book 1 Further Contribution Co-Authors: 67 Co-Authors with 196 Joint Publications 1,688 Co-Co-Authors 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 7 Berger, Arthur W. 7 Kella, Offer 7 Perry, Ohad 6 Chen, Yan 6 Kim, Song-Hee 5 You, Wei 4 Duffield, Nick G. 4 Lucantoni, David M. 3 Fendick, Kerry W. 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 all top 5 Serials 44 Queueing Systems 37 Operations Research 27 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 12 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 1 CWI Monographs all top 5 Fields 231 Probability theory and stochastic processes (60-XX) 194 Operations research, mathematical programming (90-XX) 22 Statistics (62-XX) 17 Numerical analysis (65-XX) 14 Computer science (68-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Integral transforms, operational calculus (44-XX) 3 Ordinary differential equations (34-XX) 2 Number theory (11-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 280 Publications have been cited 5,555 times in 3,008 Documents Cited by ▼ Year ▼ Stochastic-process limits. An introduction to stochastic-process limits and their application to queues. Zbl 0993.60001Whitt, Ward 425 2002 The Fourier-series method for inverting transforms of probability distributions. Zbl 0749.60013Abate, Joseph; Whitt, Ward 189 1992 Heavy-traffic limits for queues with many exponential servers. Zbl 0455.60079Halfin, Shlomo; Whitt, Ward 182 1981 Numerical inversion of Laplace transforms of probability distributions. Zbl 0821.65085Abate, Joseph; Whitt, Ward 165 1995 Some useful functions for functional limit theorems. Zbl 0428.60010Whitt, Ward; Sleeman, B. D. 132 1980 Approximating a point process by a renewal process. I: Two basic methods. Zbl 0481.90025Whitt, Ward 106 1982 Multiple channel queues in heavy traffic. I. Zbl 0218.60098Iglehart, D. L.; Whitt, W. 101 1970 A unified framework for numerically inverting Laplace transforms. Zbl 1241.65114Abate, Joseph; Whitt, Ward 88 2006 Martingale proofs of many-server heavy-traffic limits for Markovian queues. Zbl 1189.60067Pang, Guodong; Talreja, Rishi; Whitt, Ward 86 2007 Bivariate distributions with given marginals. Zbl 0367.62022Whitt, Ward 65 1976 Logarithmic asymptotics for steady-state tail probabilities in a single- server queue. Zbl 0805.60093Glynn, Peter W.; Whitt, Ward 65 1994 Useful martingales for stochastic storage processes with Lévy input. Zbl 0761.60065Kella, Offer; Whitt, Ward 65 1992 Multiple channel queues in heavy traffic. II: Sequences, networks, and batches. Zbl 0206.22503Iglehart, D. L.; Whitt, W. 64 1970 Departures from many queues in series. Zbl 0749.60090Glynn, Peter W.; Whitt, Ward 58 1991 Weak convergence of probability measures on the function space \(C[0,\infty)\). Zbl 0203.50501Whitt, W. 57 1970 Deciding which queue to join: Some counterexamples. Zbl 0622.90035Whitt, Ward 55 1986 Approximations of dynamic programs. I. Zbl 0393.90094Whitt, Ward 51 1978 Proofs of the martingale FCLT. Zbl 1189.60070Whitt, Ward 51 2007 Fluid models for multiserver queues with abandonments. Zbl 1167.90462Whitt, Ward 50 2006 Staffing of time-varying queues to achieve time-stable performance. Zbl 1232.90275Feldman, Zohar; Mandelbaum, Avishai; Massey, William A.; Whitt, Ward 49 2008 The physics of the \(M_ t/G/\infty\) queue. Zbl 0781.60086Eick, Stephen G.; Massey, William A.; Whitt, Ward 49 1993 The asymptotic efficiency of simulation estimators. Zbl 0760.62009Glynn, Peter W.; Whitt, Ward 49 1992 Comparing counting processes and queues. Zbl 0449.60064Whitt, Ward 48 1981 Numerical inversion of probability generating functions. Zbl 0758.60014Abate, Joseph; Whitt, Ward 48 1992 Networks of infinite-server queues with nonstationary Poisson input. Zbl 0778.60068Massey, William A.; Whitt, Ward 48 1993 An introduction to numerical transform inversion and its application to probability models. Zbl 0945.65008Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward 47 2000 Server staffing to meet time-varying demand. Zbl 0880.90052Jennings, Otis B.; Mandelbaum, Avishai; Massey, William A.; Whitt, Ward 47 1996 Asymptotics for M/G/1 low-priority waiting-time tail probabilities. Zbl 0894.60088Abate, Joseph; Whitt, Ward 45 1997 Efficiency-driven heavy-traffic approximations for many-server queues with abandonments. Zbl 1232.90158Whitt, Ward 41 2004 Transient behavior of the M/M/1 queue via Laplace transforms. Zbl 0638.60097Abate, Joseph; Whitt, Ward 41 1988 Multidimensional transform inversion with applications to the transient \(M/G/1\) queue. Zbl 0808.65140Choudhury, Gagan L.; Lucantoni, David M.; Whitt, Ward 39 1994 \(M_ t/G/\infty\) queues with sinusoidal arrival rates. Zbl 0773.60086Eick, Stephen G.; Massey, William A.; Whitt, Ward 39 1993 Continuity of generalized semi-Markov processes. Zbl 0447.60074Whitt, Ward 37 1980 Transient behavior of regulated Brownian motion. I: Starting at the origin. Zbl 0628.60083Abate, Joseph; Whitt, Ward 36 1987 On arrivals that see time averages. Zbl 0702.60093Melamed, Benjamin; Whitt, Ward 36 1990 Weak convergence theorems for priority queues: Preemptive-resume discipline. Zbl 0215.53801Whitt, W. 36 1971 Transient behavior of the M/M/1 queue: Starting at the origin. Zbl 0671.60082Abate, Joseph; Whitt, Ward 35 1987 A review of \(L=\lambda W\) and extensions. Zbl 0727.60112Whitt, Ward 34 1991 Improving service by informing customers about anticipated delays. Zbl 1231.90285Whitt, Ward 34 1999 Two-parameter heavy-traffic limits for infinite-server queues. Zbl 1231.60100Pang, Guodong; Whitt, Ward 33 2010 Blocking when service is required from several facilities simultaneously. Zbl 0591.90035Whitt, W. 32 1985 Engineering solution of a basic call-center model. Zbl 1232.90159Whitt, Ward 31 2005 Resource sharing for efficiency in traffic systems. Zbl 0447.90028Smith, D. R.; Whitt, W. 30 1981 Large deviations behavior of counting processes and their inverses. Zbl 0805.60023Glynn, Peter W.; Whitt, Ward 30 1994 Queue-and-idleness-ratio controls in many-server service systems. Zbl 1213.60149Gurvich, Itay; Whitt, Ward 30 2009 Uniform acceleration expansions for Markov chains with time-varying rates. Zbl 0937.60066Massey, William A.; Whitt, Ward 29 1998 On the heavy-traffic limit theorem for GI/G/infinity queues. Zbl 0479.60090Whitt, Ward 29 1982 Heavy traffic limit theorems for queues: a survey. Zbl 0295.60081Whitt, Ward 29 1974 Asymptotics for steady-state tail probabilities in structured Markov queueing models. Zbl 0801.60082Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward 28 1994 Waiting-time tail probabilities in queues with long-tail service-time distributions. Zbl 0805.60097Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward 28 1994 Planning queueing simulations. Zbl 0683.60075Whitt, Ward 28 1989 The \(G_{t}/GI/s_{t}+GI\) many-server fluid queue. Zbl 1275.60084Liu, Yunan; Whitt, Ward 28 2012 Heavy-traffic limits for the \(G/H_ 2^ */n/m\) queue. Zbl 1082.90019Whitt, Ward 27 2005 Diffusion approximations for queues with server vacations. Zbl 0713.60101Kella, Offer; Whitt, Ward 27 1990 The pointwise stationary approximation for \(M_ t/M_ t/s\) queues is asymptotically correct as the rates increase. Zbl 0734.60094Whitt, Ward 27 1991 Understanding the efficiency of multi-server service systems. Zbl 0825.90409Whitt, Ward 27 1992 Approximations of dynamic programs. II. Zbl 0408.90082Whitt, Ward 26 1979 A storage model with a two-state random environment. Zbl 0825.90344Kella, Offer; Whitt, Ward 26 1992 A diffusion approximation for the \(G/GI/n/m\) queue. Zbl 1165.90413Whitt, Ward 26 2004 Service-level differentiation in many-server service systems via queue-ratio routing. Zbl 1233.90116Gurvich, Itai; Whitt, Ward 26 2010 A new view of the heavy-traffic limit theorem for infinite-server queues. Zbl 0716.60105Glynn, Peter W.; Whitt, Ward 25 1991 Functional large deviation principles for first-passage-time processes. Zbl 0885.60023Puhalskii, Anatolii A.; Whitt, Ward 25 1997 An analysis of the modified offered-load approximation for the nonstationary Erlang loss model. Zbl 0812.60082Massey, William A.; Whitt, Ward 25 1994 Uniform conditional variability ordering of probability distributions. Zbl 0571.60022Whitt, Ward 24 1985 Exponential approximations for tail probabilities in queues. I: Waiting times. Zbl 0841.60076Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward 24 1995 Piecewise-linear diffusion processes. Zbl 0845.60087Browne, Sid; Whitt, Ward 24 1995 Open and closed models for networks of queues. Zbl 0594.90032Whitt, W. 24 1984 On approximations for queues. III: Mixtures of exponential distributions. Zbl 0598.90042Whitt, W. 24 1984 A central-limit-theorem version of \(L=\lambda W\). Zbl 0676.60088Glynn, P. W.; Whitt, W. 24 1986 Queues with server vacations and Lévy processes with secondary jump input. Zbl 0725.60079Kella, Offer; Whitt, Ward 23 1991 Stabilizing customer abandonment in many-server queues with time-varying arrivals. Zbl 1263.90024Liu, Yunan; Whitt, Ward 23 2012 The impact of delay announcements in many-server queues with abandonment. Zbl 1181.90071Armony, Mor; Shimkin, Nahum; Whitt, Ward 23 2009 The equivalence of functional central limit theorems for counting processes and associated partial sums. Zbl 0226.60028Iglehart, Donald L.; Whitt, Ward 23 1971 Many-server heavy-traffic limit for queues with time-varying parameters. Zbl 1290.60092Liu, Yunan; Whitt, Ward 23 2014 Stability and structural properties of stochastic storage networks. Zbl 0867.60081Kella, Offer; Whitt, Ward 22 1996 Approximations for departure processes and queues in series. Zbl 0563.60094Whitt, Ward 22 1984 A many-server fluid limit for the \(G_t/GI/s_t +GI\) queueing model experiencing periods of overloading. Zbl 1250.90027Liu, Yunan; Whitt, Ward 22 2012 Transient behavior of the \(M/G/1\) workload process. Zbl 0833.90042Abate, Joseph; Whitt, Ward 21 1994 On the Laguerre method for numerically inverting Laplace transforms. Zbl 0887.60100Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward 21 1996 Fluid models for overloaded multiclass many-server queueing systems with first-come, first-served routing. Zbl 1232.90156Talreja, Rishi; Whitt, Ward 21 2008 Portfolio choice and the Bayesian Kelly criterion. Zbl 0867.90010Browne, Sid; Whitt, Ward 21 1996 On approximations for queues. I: Extremal distributions. Zbl 0598.90040Whitt, W. 21 1984 The impact of a heavy-tailed service-time distribution upon the \(\text{M}/\text{GI}/s\) waiting-time distribution. Zbl 0967.60093Whitt, Ward 20 2000 Transient behavior of regulated Brownian motion. II: Non-zero initial conditions. Zbl 0628.60084Abate, Joseph; Whitt, Ward 20 1987 Multivariate monotone likelihood ratio and uniform conditional stochastic order. Zbl 0487.60015Whitt, Ward 20 1982 Untold horrors of the waiting room: What the equilibrium distribution will never tell about the queue-length process. Zbl 0517.60092Whitt, Ward 20 1983 Computing Laplace transforms for numerical inversion via continued fractions. Zbl 1039.65512Abate, Joseph; Whitt, Ward 19 1999 A network of time-varying many-server fluid queues with customer abandonment. Zbl 1233.90086Liu, Yunan; Whitt, Ward 19 2011 Limit theorems for cumulative processes. Zbl 0779.60021Glynn, Peter W.; Whitt, Ward 19 1993 The asymptotic validity of sequential stopping rules for stochastic simulations. Zbl 0792.68200Glynn, Peter W.; Whitt, Ward 19 1992 Stabilizing performance in networks of queues with time-varying arrival rates. Zbl 1371.60162Liu, Yunan; Whitt, Ward 19 2014 Refining diffusion approximations for queues. Zbl 0538.90025Whitt, Ward 19 1982 An interpolation approximation for the mean workload in a GI/G/1 queue. Zbl 0696.60086Whitt, Ward 19 1989 On arrivals that see time averages: A martingale approach. Zbl 0713.60098Melamed, Benjamin; Whitt, Ward 18 1990 Indirect estimation via \(L=\lambda W\). Zbl 0719.62098Glynn, Peter W.; Whitt, Ward 18 1989 Asymptotic formulas for Markov processes with applications to simulation. Zbl 0748.60062Whitt, Ward 18 1992 Solving probability transform functional equations for numerical inversion. Zbl 0766.60107Abate, Joseph; Whitt, Ward 18 1992 Stochastic comparisons for non-Markov processes. Zbl 0609.60046Whitt, Ward 18 1986 Sufficient conditions for functional-limit-theorem versions of \(L=\lambda W\). Zbl 0681.60097Glynn, P. W.; Whitt, W. 18 1987 Heavy-traffic limits for many-server queues with service interruptions. Zbl 1166.60336Pang, Guodong; Whitt, Ward 18 2009 Extremal \(GI/GI/1\) queues given two moments: exploiting Tchebycheff systems. Zbl 1475.60177Chen, Yan; Whitt, Ward 3 2021 Queues with path-dependent arrival processes. Zbl 1476.60166Fendick, Kerry; Whitt, Ward 1 2021 On the many-server fluid limit for a service system with routing based on delayed information. Zbl 07443020Whitt, Ward 1 2021 Algorithms for the upper bound mean waiting time in the \(\mathrm{GI}/\mathrm{GI}/1\) queue. Zbl 1434.90039Chen, Yan; Whitt, Ward 5 2020 Extremal models for the \(G I / G I / K\) waiting-time tail-probability decay rate. Zbl 07331203Chen, Yan; Whitt, Ward 4 2020 Heavy-traffic limits for stationary network flows. Zbl 1461.60085Whitt, Ward; You, Wei 1 2020 Minimizing the maximum expected waiting time in a periodic single-server queue with a service-rate control. Zbl 1446.60071Ma, Ni; Whitt, Ward 4 2019 Time-varying robust queueing. Zbl 1444.90047Whitt, Ward; You, Wei 3 2019 Optimal battery purchasing and charging strategy at electric vehicle battery swap stations. Zbl 1430.90203Sun, Bo; Sun, Xu; Tsang, Danny H. K.; Whitt, Ward 3 2019 The advantage of indices of dispersion in queueing approximations. Zbl 1476.90097Whitt, Ward; You, Wei 2 2019 Periodic Little’s law. Zbl 1458.60100Whitt, Ward; Zhang, Xiaopei 2 2019 Marked point processes in discrete time. Zbl 1427.60060Sigman, Karl; Whitt, Ward 2 2019 A central-limit-theorem version of the periodic Little’s law. Zbl 1450.60023Whitt, Ward; Zhang, Xiaopei 1 2019 Using robust queueing to expose the impact of dependence in single-server queues. Zbl 1442.90058Whitt, Ward; You, Wei 5 2018 A data-driven model of an appointment-generated arrival process at an outpatient clinic. Zbl 1446.90090Kim, Song-Hee; Whitt, Ward; Cha, Won Chul 5 2018 Delay-based service differentiation with many servers and time-varying arrival rates. Zbl 1446.60075Sun, Xu; Whitt, Ward 2 2018 Heavy-traffic limit of the \(GI/GI/1\) stationary departure process and its variance function. Zbl 1446.60076Whitt, Ward; You, Wei 1 2018 A broad view of queueing theory through one issue. Zbl 1408.60088Whitt, Ward 1 2018 Stabilizing performance in a service system with time-varying arrivals and customer feedback. Zbl 1394.90201Liu, Yunan; Whitt, Ward 11 2017 Heavy-traffic limit for the initial content process. Zbl 1367.60115Korhan Aras, A.; Liu, Yunan; Whitt, Ward 5 2017 Many-server loss models with non-poisson time-varying arrivals. Zbl 1411.90104Whitt, Ward; Zhao, Jingtong 4 2017 Staffing a service system with non-Poisson non-stationary arrivals. Zbl 1370.90135He, Beixiang; Liu, Yunan; Whitt, Ward 17 2016 Efficient simulation of non-Poisson non-stationary point processes to study queueing approximations. Zbl 1382.60118Ma, Ni; Whitt, Ward 6 2016 Chattering and congestion collapse in an overload switching control. Zbl 1356.60155Perry, Ohad; Whitt, Ward 4 2016 Staffing to stabilize blocking in loss models with time-varying arrival rates. Zbl 1370.90090Li, Andrew; Whitt, Ward; Zhao, Jingtong 4 2016 Heavy-traffic limits for a single-server queue leading up to a critical point. Zbl 1408.90101Whitt, Ward 3 2016 Approximations for heavily loaded \(G/GI/n+GI\) queues. Zbl 1411.90097Liu, Yunan; Whitt, Ward; Yu, Yao 1 2016 A Poisson limit for the departure process from a queue with many busy servers. Zbl 1408.60089Whitt, Ward 1 2016 Heavy-traffic fluid limits for periodic infinite-server queues. Zbl 1348.60135Whitt, Ward 1 2016 Stabilizing performance in a single-server queue with time-varying arrival rate. Zbl 1332.60131Whitt, Ward 12 2015 Poisson and non-Poisson properties in appointment-generated arrival processes: the case of an endocrinology clinic. Zbl 1408.90169Kim, Song-Hee; Vel, Ponni; Whitt, Ward; Cha, Won Chul 6 2015 Stochastic grey-box modeling of queueing systems: fitting birth-and-death processes to data. Zbl 1317.60119Dong, James; Whitt, Ward 5 2015 Using a birth-and-death process to estimate the steady-state distribution of a periodic queue. Zbl 1411.90093Dong, James; Whitt, Ward 3 2015 Achieving rapid recovery in an overload control for large-scale service systems. Zbl 1328.90027Perry, Ohad; Whitt, Ward 1 2015 Many-server heavy-traffic limit for queues with time-varying parameters. Zbl 1290.60092Liu, Yunan; Whitt, Ward 23 2014 Stabilizing performance in networks of queues with time-varying arrival rates. Zbl 1371.60162Liu, Yunan; Whitt, Ward 19 2014 Algorithms for time-varying networks of many-server fluid queues. Zbl 1356.90040Liu, Yunan; Whitt, Ward 9 2014 Choosing arrival process models for service systems: tests of a nonhomogeneous Poisson process. Zbl 1411.90095Kim, Song-Hee; Whitt, Ward 7 2014 Heavy-traffic limits for queues with periodic arrival processes. Zbl 1408.90100Whitt, Ward 7 2014 The steady-state distribution of the \(M_t / M / \infty\) queue with a sinusoidal arrival rate function. Zbl 1408.90099Whitt, Ward 5 2014 Diffusion approximation for an overloaded \(X\) model via a stochastic averaging principle. Zbl 1310.60133Perry, Ohad; Whitt, Ward 1 2014 Two-parameter heavy-traffic limits for infinite-server queues with dependent service times. Zbl 1264.60068Pang, Guodong; Whitt, Ward 11 2013 A fluid limit for an overloaded \(X\) model via a stochastic averaging principle. Zbl 1305.60024Perry, Ohad; Whitt, Ward 9 2013 Statistical analysis with Little’s Law. Zbl 1291.62158Kim, Song-Hee; Whitt, Ward 6 2013 Estimating waiting times with the time-varying Little’s law. Zbl 06262191Kim, Song-Hee; Whitt, Ward 3 2013 The \(G_{t}/GI/s_{t}+GI\) many-server fluid queue. Zbl 1275.60084Liu, Yunan; Whitt, Ward 28 2012 Stabilizing customer abandonment in many-server queues with time-varying arrivals. Zbl 1263.90024Liu, Yunan; Whitt, Ward 23 2012 A many-server fluid limit for the \(G_t/GI/s_t +GI\) queueing model experiencing periods of overloading. Zbl 1250.90027Liu, Yunan; Whitt, Ward 22 2012 Infinite-server queues with batch arrivals and dependent service times. Zbl 1270.60105Pang, Guodong; Whitt, Ward 14 2012 Fitting birth-and-death queueing models to data. Zbl 1241.62134Whitt, Ward 6 2012 Extending the FCLT version of \(L=\lambda W\). Zbl 1260.60066Whitt, Ward 2 2012 A network of time-varying many-server fluid queues with customer abandonment. Zbl 1233.90086Liu, Yunan; Whitt, Ward 19 2011 Large-time asymptotics for the \(G_{t}/M_{t}/s_{t}+GI_{t}\) many-server fluid queue with abandonment. Zbl 1222.60073Liu, Yunan; Whitt, Ward 13 2011 The asymptotic variance of departures in critically loaded queues. Zbl 1279.90045Hanbali, A. Al; Mandjes, M.; Nazarathy, Y.; Whitt, W. 12 2011 Wait-time predictors for customer service systems with time-varying demand and capacity. Zbl 1233.90117Ibrahim, Rouba; Whitt, Ward 11 2011 An ODE for an overloaded \(X\) model involving a stochastic averaging principle. Zbl 1291.60191Perry, Ohad; Whitt, Ward 9 2011 A fluid approximation for service systems responding to unexpected overloads. Zbl 1233.90124Perry, Ohad; Whitt, Ward 8 2011 Heavy-traffic limits for nearly deterministic queues. Zbl 1242.60098Sigman, Karl; Whitt, Ward 7 2011 Heavy-traffic limits for nearly deterministic queues: Stationary distributions. Zbl 1237.60072Sigman, Karl; Whitt, Ward 7 2011 Nearly periodic behavior in the overloaded \(G/D/s+GI\) queue. Zbl 1291.60189Liu, Yunan; Whitt, Ward 6 2011 Brownian motion and the generalized Catalan numbers. Zbl 1229.11028Abate, Joseph; Whitt, Ward 2 2011 Two-parameter heavy-traffic limits for infinite-server queues. Zbl 1231.60100Pang, Guodong; Whitt, Ward 33 2010 Service-level differentiation in many-server service systems via queue-ratio routing. Zbl 1233.90116Gurvich, Itai; Whitt, Ward 26 2010 Continuity of a queueing integral representation in the \(M_{1}\) topology. Zbl 1186.60098Pang, Guodong; Whitt, Ward 10 2010 Integer sequences from queueing theory. Zbl 1238.11032Abate, Joseph; Whitt, Ward 4 2010 A stochastic-difference-equation model for hedge-fund returns. Zbl 1194.91198Derman, Emanuel; Park, Kun Soo; Whitt, Ward 1 2010 Queue-and-idleness-ratio controls in many-server service systems. Zbl 1213.60149Gurvich, Itay; Whitt, Ward 30 2009 The impact of delay announcements in many-server queues with abandonment. Zbl 1181.90071Armony, Mor; Shimkin, Nahum; Whitt, Ward 23 2009 Heavy-traffic limits for many-server queues with service interruptions. Zbl 1166.60336Pang, Guodong; Whitt, Ward 18 2009 Heavy-traffic limits for waiting times in many-server queues with abandonment. Zbl 1185.60103Talreja, Rishi; Whitt, Ward 16 2009 Responding to unexpected overloads in large-scale service systems. Zbl 1232.90154Perry, Ohad; Whitt, Ward 8 2009 Service interruptions in large-scale service systems. Zbl 1232.90132Pang, Guodong; Whitt, Ward 8 2009 Real-time delay estimation in overloaded multiserver queues with abandonments. Zbl 1232.90149Ibrahim, Rouba; Whitt, Ward 8 2009 Heavy-traffic extreme value limits for Erlang delay models. Zbl 1209.90119Pang, Guodong; Whitt, Ward 1 2009 Staffing of time-varying queues to achieve time-stable performance. Zbl 1232.90275Feldman, Zohar; Mandelbaum, Avishai; Massey, William A.; Whitt, Ward 49 2008 Fluid models for overloaded multiclass many-server queueing systems with first-come, first-served routing. Zbl 1232.90156Talreja, Rishi; Whitt, Ward 21 2008 The last departure time from an \(M_t/G/\infty\) queue with a terminating arrival process. Zbl 1143.60056Goldberg, David Alan; Whitt, Ward 1 2008 Martingale proofs of many-server heavy-traffic limits for Markovian queues. Zbl 1189.60067Pang, Guodong; Talreja, Rishi; Whitt, Ward 86 2007 Proofs of the martingale FCLT. Zbl 1189.60070Whitt, Ward 51 2007 What you should know about queueing models to set staffing requirements in service systems. Zbl 1143.90322Whitt, Ward 12 2007 Power algorithms for inverting Laplace transforms. Zbl 1241.65115Avdis, Efstathios; Whitt, Ward 3 2007 Two-moment approximations for maxima. Zbl 1167.62369Crow, Charles S. IV; Goldberg, David; Whitt, Ward 1 2007 A unified framework for numerically inverting Laplace transforms. Zbl 1241.65114Abate, Joseph; Whitt, Ward 88 2006 Fluid models for multiserver queues with abandonments. Zbl 1167.90462Whitt, Ward 50 2006 Sensitivity of performance in the Erlang-A queueing model to changes in the model parameters. Zbl 1167.90463Whitt, Ward 5 2006 Engineering solution of a basic call-center model. Zbl 1232.90159Whitt, Ward 31 2005 Heavy-traffic limits for the \(G/H_ 2^ */n/m\) queue. Zbl 1082.90019Whitt, Ward 27 2005 Two fluid approximations for multi-server queues with abandonments. Zbl 1090.90043Whitt, Ward 4 2005 Efficiency-driven heavy-traffic approximations for many-server queues with abandonments. Zbl 1232.90158Whitt, Ward 41 2004 A diffusion approximation for the \(G/GI/n/m\) queue. Zbl 1165.90413Whitt, Ward 26 2004 Heavy-traffic limits for loss proportions in single-server queues. Zbl 1056.90039Whitt, Ward 4 2004 How multiserver queues scale with growing congestion-dependent demand. Zbl 1165.90412Whitt, Ward 5 2003 Stochastic-process limits. An introduction to stochastic-process limits and their application to queues. Zbl 0993.60001Whitt, Ward 425 2002 Necessary conditions in limit theorems for cumulative processes. Zbl 1059.60025Glynn, Peter W.; Whitt, Ward 13 2002 The reflection map with discontinuities. Zbl 1073.90504Whitt, Ward 7 2001 A nonstationary offered-load model for packet networks. Zbl 1030.68650Duffield, N. G.; Massey, W. A.; Whitt, W. 3 2001 Resource sharing for book-ahead and instantaneous-request calls using a CLT approximation. Zbl 1030.68859Srikant, R.; Whitt, Ward 1 2001 An introduction to numerical transform inversion and its application to probability models. Zbl 0945.65008Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward 47 2000 The impact of a heavy-tailed service-time distribution upon the \(\text{M}/\text{GI}/s\) waiting-time distribution. Zbl 0967.60093Whitt, Ward 20 2000 Limits for cumulative input processes to queues. Zbl 0979.60089Whitt, Ward 7 2000 ...and 180 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,337 Authors 108 Whitt, Ward 71 Mandjes, Michel Robertus Hendrikus 41 Zwart, Bert P. 40 Glynn, Peter W. 39 Boxma, Onno Johan 35 van Leeuwaarden, Johan S. H. 33 Perry, David 32 Pang, Guodong 26 Adan, Ivo J. B. F. 25 Asmussen, Søren 25 Kella, Offer 24 Stadje, Wolfgang 23 Pourbabai, Behnam 22 Pender, Jamol 21 Atar, Rami 21 Blanchet, Jose H. 20 Bruneel, Herwig 19 Liu, Yunan 19 Mandelbaum, Avi 18 van Dijk, Nico M. 17 Minkevičius, Saulius 15 Zeifman, Alexander Izrailevich 14 Abate, Joseph 14 Ahn, Soohan 14 Borst, Sem C. 14 Fralix, Brian H. 14 Stolyar, Alexander L. 13 Janssen, Augustus Josephus Elizabeth Maria 13 Ramanan, Kavita 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 Palmowski, Zbigniew 12 Taylor, Peter Gerrard 12 Walraevens, Joris 12 Ward, Amy R. 12 Wittevrongel, Sabine 11 Cui, Zhenyu 11 Denuit, Michel M. 11 Fusai, Gianluca 11 Iksanov, Aleksander M. 11 Knessl, Charles 11 Lee, Chihoon 11 Momčilović, Petar 11 Sigman, Karl 11 Zhang, Hanqin 11 Zhang, Jiheng 10 Chaudhry, Mohan L. 10 Economou, Antonis 10 Scheller-Wolf, Alan 10 Weiss, Gideon 9 Arapostathis, Aristotle 9 Ata, Baris 9 Bekker, René 9 Boucherie, Richard J. 9 Down, Douglas G. 9 Fiems, Dieter 9 Kim, Bara 9 Kruk, Łukasz 9 O’Reilly, Małgorzata M. 9 Parthasarathy, Panamalai Ramarao 9 Puhalskii, Anatolii A. 9 Reiman, Martin I. 9 Shanthikumar, Jeyaveerasingam George 8 Bean, Nigel G. 8 Budhiraja, Amarjit S. 8 Cai, Ning 8 Dębicki, Krzysztof 8 Duffy, Ken R. 8 Ivanovs, Jevgeņijs 8 Jara, Milton D. 8 Kyprianou, Andreas E. 8 Massey, William A. 8 Mazumdar, Ravi R. 8 Resnick, Sidney Ira 8 Samorodnitsky, Gennady Pinkhosovich 8 Serfozo, Richard F. 8 van der Hofstad, Remco W. 8 Yang, Xuewei 8 Ziedins, Ilze 7 Artalejo, Jesus R. 7 Balcıoğlu, Barış 7 Blom, Joke G. 7 Bo, Lijun 7 Černý, Jiří 7 Chen, Hong 7 Dai, J. G. (Jim) 7 Gamarnik, David 7 Glasserman, Paul 7 Haas, Peter J. 7 Heidergott, Bernd F. 7 Huang, Junfei 7 Kharoufeh, Jeffrey P. 7 Krizmanić, Danijel 7 Legros, Benjamin 7 Levendorskiĭ, Sergeĭ Zakharovich ...and 3,237 more Authors all top 5 Cited in 350 Serials 399 Queueing Systems 175 European Journal of Operational Research 131 Stochastic Processes and their Applications 118 Operations Research Letters 116 The Annals of Applied Probability 99 Probability in the Engineering and Informational Sciences 92 Journal of Applied Probability 82 Stochastic Models 78 Annals of Operations Research 70 Operations Research 62 Advances in Applied Probability 54 Computers & Operations Research 53 Statistics & Probability Letters 48 Stochastic Systems 42 Methodology and Computing in Applied Probability 37 Mathematics of Operations Research 36 Insurance Mathematics & Economics 30 Quantitative Finance 28 The Annals of Probability 25 Mathematical Methods of Operations Research 23 Probability Theory and Related Fields 23 Communications in Statistics. 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English Series 8 Journal of Economic Dynamics & Control 8 Applied Stochastic Models in Business and Industry 7 Communications in Mathematical Physics 7 Physica A 7 Automatica 7 Journal of Econometrics 7 Kybernetika 7 OR Spektrum 7 Acta Applicandae Mathematicae 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 International Journal of Computer Mathematics 6 Computational Statistics and Data Analysis 6 Electronic Communications in Probability 6 Mathematical Finance 6 Acta Mathematica Sinica. English Series 6 Frontiers of Mathematics in China 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 ASTIN Bulletin 5 4OR 5 Electronic Journal of Statistics 5 SIAM Journal on Financial Mathematics 5 Statistics and Computing ...and 250 more Serials all top 5 Cited in 45 Fields 2,127 Probability theory and stochastic processes (60-XX) 1,440 Operations research, mathematical programming (90-XX) 364 Statistics (62-XX) 353 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 294 Computer science (68-XX) 208 Numerical analysis (65-XX) 123 Systems theory; control (93-XX) 75 Statistical mechanics, structure of matter (82-XX) 70 Biology and other natural sciences (92-XX) 55 Integral transforms, operational calculus (44-XX) 49 Partial differential equations (35-XX) 28 Combinatorics (05-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 27 Ordinary differential equations (34-XX) 21 Dynamical systems and ergodic theory (37-XX) 21 Fluid mechanics (76-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 16 Integral equations (45-XX) 16 Mechanics of deformable solids (74-XX) 15 Approximations and expansions (41-XX) 14 Real functions (26-XX) 14 Information and communication theory, circuits (94-XX) 12 Measure and integration (28-XX) 11 Number theory (11-XX) 11 Functions of a complex variable (30-XX) 11 Special functions (33-XX) 11 Operator theory (47-XX) 9 Functional analysis (46-XX) 8 Harmonic analysis on Euclidean spaces (42-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 Optics, electromagnetic theory (78-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 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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