Fendick, Kerry; Whitt, Ward Heavy traffic limits for queues with non-stationary path-dependent arrival processes. (English) Zbl 1491.60159 Queueing Syst. 101, No. 1-2, 113-135 (2022). MSC: 60K25 60F17 90B22 PDFBibTeX XMLCite \textit{K. Fendick} and \textit{W. Whitt}, Queueing Syst. 101, No. 1--2, 113--135 (2022; Zbl 1491.60159) Full Text: DOI
Fendick, Kerry; Whitt, Ward Queues with path-dependent arrival processes. (English) Zbl 1476.60166 J. Appl. Probab. 58, No. 2, 484-504 (2021). MSC: 60K25 60F17 90B22 PDFBibTeX XMLCite \textit{K. Fendick} and \textit{W. Whitt}, J. Appl. Probab. 58, No. 2, 484--504 (2021; Zbl 1476.60166) Full Text: DOI
Whitt, Ward; You, Wei Heavy-traffic limits for stationary network flows. (English) Zbl 1461.60085 Queueing Syst. 95, No. 1-2, 53-68 (2020). MSC: 60K25 60F17 90B22 PDFBibTeX XMLCite \textit{W. Whitt} and \textit{W. You}, Queueing Syst. 95, No. 1--2, 53--68 (2020; Zbl 1461.60085) Full Text: DOI
Whitt, Ward; You, Wei Heavy-traffic limit of the \(GI/GI/1\) stationary departure process and its variance function. (English) Zbl 1446.60076 Stoch. Syst. 8, No. 2, 143-165 (2018). MSC: 60K25 60F17 90B22 PDFBibTeX XMLCite \textit{W. Whitt} and \textit{W. You}, Stoch. Syst. 8, No. 2, 143--165 (2018; Zbl 1446.60076) Full Text: DOI
Korhan Aras, A.; Liu, Yunan; Whitt, Ward Heavy-traffic limit for the initial content process. (English) Zbl 1367.60115 Stoch. Syst. 7, No. 1, 95-142 (2017). MSC: 60K25 60F17 60F05 90B22 37C55 PDFBibTeX XMLCite \textit{A. Korhan Aras} et al., Stoch. Syst. 7, No. 1, 95--142 (2017; Zbl 1367.60115) Full Text: DOI Euclid
Liu, Yunan; Whitt, Ward; Yu, Yao Approximations for heavily loaded \(G/GI/n+GI\) queues. (English) Zbl 1411.90097 Nav. Res. Logist. 63, No. 3, 187-217 (2016). MSC: 90B22 60K25 60F17 PDFBibTeX XMLCite \textit{Y. Liu} et al., Nav. Res. Logist. 63, No. 3, 187--217 (2016; Zbl 1411.90097) Full Text: DOI
Whitt, Ward A Poisson limit for the departure process from a queue with many busy servers. (English) Zbl 1408.60089 Oper. Res. Lett. 44, No. 5, 602-606 (2016). MSC: 60K25 90B22 60F17 PDFBibTeX XMLCite \textit{W. Whitt}, Oper. Res. Lett. 44, No. 5, 602--606 (2016; Zbl 1408.60089) Full Text: DOI
Whitt, Ward Heavy-traffic fluid limits for periodic infinite-server queues. (English) Zbl 1348.60135 Queueing Syst. 84, No. 1-2, 111-143 (2016). MSC: 60K25 60F17 60J25 62M09 90B22 PDFBibTeX XMLCite \textit{W. Whitt}, Queueing Syst. 84, No. 1--2, 111--143 (2016; Zbl 1348.60135) Full Text: DOI
Whitt, Ward Stabilizing performance in a single-server queue with time-varying arrival rate. (English) Zbl 1332.60131 Queueing Syst. 81, No. 4, 341-378 (2015). MSC: 60K25 60F17 90B22 68M20 PDFBibTeX XMLCite \textit{W. Whitt}, Queueing Syst. 81, No. 4, 341--378 (2015; Zbl 1332.60131) Full Text: DOI
Dong, James; Whitt, Ward Stochastic grey-box modeling of queueing systems: fitting birth-and-death processes to data. (English) Zbl 1317.60119 Queueing Syst. 79, No. 3-4, 391-426 (2015). MSC: 60K25 60J80 60F17 60J25 62M09 90B22 PDFBibTeX XMLCite \textit{J. Dong} and \textit{W. Whitt}, Queueing Syst. 79, No. 3--4, 391--426 (2015; Zbl 1317.60119) Full Text: DOI
Whitt, Ward Heavy-traffic limits for queues with periodic arrival processes. (English) Zbl 1408.90100 Oper. Res. Lett. 42, No. 6-7, 458-461 (2014). MSC: 90B22 60F17 60K25 PDFBibTeX XMLCite \textit{W. Whitt}, Oper. Res. Lett. 42, No. 6--7, 458--461 (2014; Zbl 1408.90100) Full Text: DOI
Perry, Ohad; Whitt, Ward Diffusion approximation for an overloaded \(X\) model via a stochastic averaging principle. (English) Zbl 1310.60133 Queueing Syst. 76, No. 4, 347-401 (2014). MSC: 60K25 60F17 60F05 90B22 PDFBibTeX XMLCite \textit{O. Perry} and \textit{W. Whitt}, Queueing Syst. 76, No. 4, 347--401 (2014; Zbl 1310.60133) Full Text: DOI arXiv
Liu, Yunan; Whitt, Ward Many-server heavy-traffic limit for queues with time-varying parameters. (English) Zbl 1290.60092 Ann. Appl. Probab. 24, No. 1, 378-421 (2014). Reviewer: Vyacheslav Abramov (Melbourne) MSC: 60K25 68M20 90B22 60F17 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{W. Whitt}, Ann. Appl. Probab. 24, No. 1, 378--421 (2014; Zbl 1290.60092) Full Text: DOI arXiv Euclid
Perry, Ohad; Whitt, Ward A fluid limit for an overloaded \(X\) model via a stochastic averaging principle. (English) Zbl 1305.60024 Math. Oper. Res. 38, No. 2, 294-349 (2013). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60F17 60K25 60G70 90B22 PDFBibTeX XMLCite \textit{O. Perry} and \textit{W. Whitt}, Math. Oper. Res. 38, No. 2, 294--349 (2013; Zbl 1305.60024) Full Text: DOI arXiv
Pang, Guodong; Whitt, Ward Two-parameter heavy-traffic limits for infinite-server queues with dependent service times. (English) Zbl 1264.60068 Queueing Syst. 73, No. 2, 119-146 (2013). Reviewer: Tommi Sottinen (Vaasa) MSC: 60K25 60F17 60G60 90B22 60G57 PDFBibTeX XMLCite \textit{G. Pang} and \textit{W. Whitt}, Queueing Syst. 73, No. 2, 119--146 (2013; Zbl 1264.60068) Full Text: DOI
Whitt, Ward Extending the FCLT version of \(L=\lambda W\). (English) Zbl 1260.60066 Oper. Res. Lett. 40, No. 4, 230-234 (2012). MSC: 60F17 60F05 PDFBibTeX XMLCite \textit{W. Whitt}, Oper. Res. Lett. 40, No. 4, 230--234 (2012; Zbl 1260.60066) Full Text: DOI
Sigman, Karl; Whitt, Ward Heavy-traffic limits for nearly deterministic queues. (English) Zbl 1242.60098 J. Appl. Probab. 48, No. 3, 657-678 (2011). Reviewer: Hans Daduna (Hamburg) MSC: 60K25 60F17 90B22 68M20 PDFBibTeX XMLCite \textit{K. Sigman} and \textit{W. Whitt}, J. Appl. Probab. 48, No. 3, 657--678 (2011; Zbl 1242.60098) Full Text: DOI
Pang, Guodong; Whitt, Ward Two-parameter heavy-traffic limits for infinite-server queues. (English) Zbl 1231.60100 Queueing Syst. 65, No. 4, 325-364 (2010). MSC: 60K25 60F17 60G60 60J25 90B22 PDFBibTeX XMLCite \textit{G. Pang} and \textit{W. Whitt}, Queueing Syst. 65, No. 4, 325--364 (2010; Zbl 1231.60100) Full Text: DOI arXiv
Pang, Guodong; Whitt, Ward Continuity of a queueing integral representation in the \(M_{1}\) topology. (English) Zbl 1186.60098 Ann. Appl. Probab. 20, No. 1, 214-237 (2010). MSC: 60K25 60F17 90B22 PDFBibTeX XMLCite \textit{G. Pang} and \textit{W. Whitt}, Ann. Appl. Probab. 20, No. 1, 214--237 (2010; Zbl 1186.60098) Full Text: DOI arXiv
Gurvich, Itay; Whitt, Ward Queue-and-idleness-ratio controls in many-server service systems. (English) Zbl 1213.60149 Math. Oper. Res. 34, No. 2, 363-396 (2009). MSC: 60K25 60K30 60F17 90B15 90B22 PDFBibTeX XMLCite \textit{I. Gurvich} and \textit{W. Whitt}, Math. Oper. Res. 34, No. 2, 363--396 (2009; Zbl 1213.60149) Full Text: DOI Link
Whitt, Ward The reflection map with discontinuities. (English) Zbl 1073.90504 Math. Oper. Res. 26, No. 3, 447-484 (2001). MSC: 90B15 90B22 PDFBibTeX XMLCite \textit{W. Whitt}, Math. Oper. Res. 26, No. 3, 447--484 (2001; Zbl 1073.90504) Full Text: DOI
Whitt, Ward Limits for cumulative input processes to queues. (English) Zbl 0979.60089 Probab. Eng. Inf. Sci. 14, No. 2, 123-150 (2000). Reviewer: O.K.Zakusilo (Kyïv) MSC: 60K25 60F17 PDFBibTeX XMLCite \textit{W. Whitt}, Probab. Eng. Inf. Sci. 14, No. 2, 123--150 (2000; Zbl 0979.60089) Full Text: DOI
Whitt, Ward An overview of Brownian and non-Brownian FCLTs for the single-server queue. (English) Zbl 0967.60038 Queueing Syst. 36, No. 1-3, 39-70 (2000). MSC: 60F17 60K25 60F05 PDFBibTeX XMLCite \textit{W. Whitt}, Queueing Syst. 36, No. 1--3, 39--70 (2000; Zbl 0967.60038) Full Text: DOI
Berger, Arthur W.; Whitt, Ward Asymptotics for open-loop window flow control. (English) Zbl 0812.60023 J. Appl. Math. Stochastic Anal. 7, No. 3, 337-356 (1994). MSC: 60F05 60F15 PDFBibTeX XMLCite \textit{A. W. Berger} and \textit{W. Whitt}, J. Appl. Math. Stochastic Anal. 7, No. 3, 337--356 (1994; Zbl 0812.60023) Full Text: DOI EuDML
Glynn, Peter W.; Whitt, Ward Departures from many queues in series. (English) Zbl 0749.60090 Ann. Appl. Probab. 1, No. 4, 546-572 (1991). Reviewer: S.Asmussen (Aalborg) MSC: 60K25 60F17 90B22 60J60 60F15 PDFBibTeX XMLCite \textit{P. W. Glynn} and \textit{W. Whitt}, Ann. Appl. Probab. 1, No. 4, 546--572 (1991; Zbl 0749.60090) Full Text: DOI
Whitt, Ward; Sleeman, B. D. Some useful functions for functional limit theorems. (English) Zbl 0428.60010 Math. Oper. Res. 5, 67-85 (1980). MSC: 60B10 60F05 60F15 PDFBibTeX XMLCite \textit{W. Whitt} and \textit{B. D. Sleeman}, Math. Oper. Res. 5, 67--85 (1980; Zbl 0428.60010) Full Text: DOI Link