Chen, Yan; Whitt, Ward Applying optimization theory to study extremal \(GI/GI/1\) transient mean waiting times. (English) Zbl 1502.60132 Queueing Syst. 101, No. 3-4, 197-220 (2022). MSC: 60K25 60-08 90B22 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{W. Whitt}, Queueing Syst. 101, No. 3--4, 197--220 (2022; Zbl 1502.60132) Full Text: DOI
Chen, Yan; Whitt, Ward Extremal \(GI/GI/1\) queues given two moments: exploiting Tchebycheff systems. (English) Zbl 1475.60177 Queueing Syst. 97, No. 1-2, 101-124 (2021); correction ibid. 102, No. 3-4, 553-556 (2022). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{W. Whitt}, Queueing Syst. 97, No. 1--2, 101--124 (2021; Zbl 1475.60177) Full Text: DOI
Chen, Yan; Whitt, Ward Algorithms for the upper bound mean waiting time in the \(\mathrm{GI}/\mathrm{GI}/1\) queue. (English) Zbl 1434.90039 Queueing Syst. 94, No. 3-4, 327-356 (2020). MSC: 90B22 60K25 60-08 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{W. Whitt}, Queueing Syst. 94, No. 3--4, 327--356 (2020; Zbl 1434.90039) 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
Hanbali, A. Al; Mandjes, M.; Nazarathy, Y.; Whitt, W. The asymptotic variance of departures in critically loaded queues. (English) Zbl 1279.90045 Adv. Appl. Probab. 43, No. 1, 243-263 (2011). Reviewer: Andreas Brandt (Berlin) MSC: 90B22 60G55 PDFBibTeX XMLCite \textit{A. A. Hanbali} et al., Adv. Appl. Probab. 43, No. 1, 243--263 (2011; Zbl 1279.90045) Full Text: DOI
Abate, Joseph; Whitt, Ward Integer sequences from queueing theory. (English) Zbl 1238.11032 J. Integer Seq. 13, No. 5, Article ID 10.5.5, 21 p. (2010). MSC: 11B83 11B65 11Z05 60K25 PDFBibTeX XMLCite \textit{J. Abate} and \textit{W. Whitt}, J. Integer Seq. 13, No. 5, Article ID 10.5.5, 21 p. (2010; Zbl 1238.11032) Full Text: arXiv EMIS
Perry, Ohad; Whitt, Ward Responding to unexpected overloads in large-scale service systems. (English) Zbl 1232.90154 Manage. Sci. 55, No. 8, 1353-1367 (2009). MSC: 90B22 PDFBibTeX XMLCite \textit{O. Perry} and \textit{W. Whitt}, Manage. Sci. 55, No. 8, 1353--1367 (2009; Zbl 1232.90154) Full Text: DOI
Whitt, Ward Heavy-traffic limits for loss proportions in single-server queues. (English) Zbl 1056.90039 Queueing Syst. 46, No. 3-4, 507-536 (2004). MSC: 90B22 PDFBibTeX XMLCite \textit{W. Whitt}, Queueing Syst. 46, No. 3--4, 507--536 (2004; Zbl 1056.90039) Full Text: DOI
Whitt, Ward The impact of a heavy-tailed service-time distribution upon the \(\text{M}/\text{GI}/s\) waiting-time distribution. (English) Zbl 0967.60093 Queueing Syst. 36, No. 1-3, 71-87 (2000). MSC: 60K25 PDFBibTeX XMLCite \textit{W. Whitt}, Queueing Syst. 36, No. 1--3, 71--87 (2000; Zbl 0967.60093) Full Text: DOI
Ward, A. R.; Whitt, W. Predicting response times in processor-sharing queues. (English) Zbl 0981.90011 McDonald, David R. (ed.) et al., Analysis of communication networks: call centres, traffic and performance. Proceedings of the workshop on analysis and simulation of communication networks, Toronto, Ontario, Canada, November 1998. Providence, RI: AMS, American Mathematical Society. Fields Inst. Commun. 28, 1-29 (2000). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{A. R. Ward} and \textit{W. Whitt}, Fields Inst. Commun. 28, 1--29 (2000; Zbl 0981.90011)
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward An introduction to numerical transform inversion and its application to probability models. (English) Zbl 0945.65008 Grassmann, Winfried K. (ed.), Computational probability. Boston: Kluwer Academic Publishers. Int. Ser. Oper. Res. Manag. Sci. 24, 257-323 (2000). Reviewer: I.S.Molchanov (Glasgow) MSC: 65C50 65R10 44A10 42A38 65T40 60K25 60K20 PDFBibTeX XMLCite \textit{J. Abate} et al., Int. Ser. Oper. Res. Manag. Sci. 24, 257--323 (2000; Zbl 0945.65008)
Abate, Joseph; Whitt, Ward Explicit M/G/1 waiting-time distributions for a class of long-tail service-time distributions. (English) Zbl 0967.90021 Oper. Res. Lett. 25, No. 1, 25-31 (1999). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{J. Abate} and \textit{W. Whitt}, Oper. Res. Lett. 25, No. 1, 25--31 (1999; Zbl 0967.90021) Full Text: DOI
Choudhury, Gagan L.; Lucantoni, David M.; Whitt, Ward Numerical solution of piecewise-stationary \(M_ t/G_ t/1\) queues. (English) Zbl 0891.90073 Oper. Res. 45, No. 3, 451-463 (1997). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{G. L. Choudhury} et al., Oper. Res. 45, No. 3, 451--463 (1997; Zbl 0891.90073) Full Text: DOI
Abate, Joseph; Whitt, Ward Asymptotics for M/G/1 low-priority waiting-time tail probabilities. (English) Zbl 0894.60088 Queueing Syst. 25, No. 1-4, 173-233 (1997). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{J. Abate} and \textit{W. Whitt}, Queueing Syst. 25, No. 1--4, 173--233 (1997; Zbl 0894.60088) Full Text: DOI
Abate, Joseph; Whitt, Ward Limits and approximants for the M/G/1 LIFO waiting-time distribution. (English) Zbl 0882.90046 Oper. Res. Lett. 20, No. 5, 199-206 (1997). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{J. Abate} and \textit{W. Whitt}, Oper. Res. Lett. 20, No. 5, 199--206 (1997; Zbl 0882.90046) Full Text: DOI
Choudhury, G. L.; Mandelbaum, A.; Reiman, M. I.; Whitt, W. Fluid and diffusion limits for queues in slowly changing environments. (English) Zbl 0871.60070 Commun. Stat., Stochastic Models 13, No. 1, 121-146 (1997). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{G. L. Choudhury} et al., Commun. Stat., Stochastic Models 13, No. 1, 121--146 (1997; Zbl 0871.60070) Full Text: DOI
Abate, Joseph; Whitt, Ward An operational calculus for probability distributions via Laplace transforms. (English) Zbl 0845.60019 Adv. Appl. Probab. 28, No. 1, 75-113 (1996). MSC: 60E10 60E07 60J99 PDFBibTeX XMLCite \textit{J. Abate} and \textit{W. Whitt}, Adv. Appl. Probab. 28, No. 1, 75--113 (1996; Zbl 0845.60019) Full Text: DOI Link
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward Calculating the \(M/G/1\) busy-period density and LIFO waiting-time distribution by direct numerical transform inversion. (English) Zbl 0854.60095 Oper. Res. Lett. 18, No. 3, 113-119 (1995). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{J. Abate} et al., Oper. Res. Lett. 18, No. 3, 113--119 (1995; Zbl 0854.60095) Full Text: DOI
Abate, Joseph; Whitt, Ward Transient behavior of the \(M/G/1\) workload process. (English) Zbl 0833.90042 Oper. Res. 42, No. 4, 750-764 (1994). Reviewer: J.Sztrik (Debrecen) MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{J. Abate} and \textit{W. Whitt}, Oper. Res. 42, No. 4, 750--764 (1994; Zbl 0833.90042) Full Text: DOI
Choudhury, Gagan L.; Lucantoni, David M.; Whitt, Ward Multidimensional transform inversion with applications to the transient \(M/G/1\) queue. (English) Zbl 0808.65140 Ann. Appl. Probab. 4, No. 3, 719-740 (1994). Reviewer: N.Hayek (La Laguna) MSC: 65R10 65T40 65C99 44A10 42A38 60K25 PDFBibTeX XMLCite \textit{G. L. Choudhury} et al., Ann. Appl. Probab. 4, No. 3, 719--740 (1994; Zbl 0808.65140) Full Text: DOI
Glynn, Peter W.; Whitt, Ward Logarithmic asymptotics for steady-state tail probabilities in a single- server queue. (English) Zbl 0805.60093 J. Appl. Probab. 31A, Spec. Vol., 131-156 (1994). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{P. W. Glynn} and \textit{W. Whitt}, J. Appl. Probab. 31A, 131--156 (1994; Zbl 0805.60093) Full Text: DOI
Lucantoni, David M.; Choudhury, Gagan L.; Whitt, Ward The transient BMAP\(/G/1\) queue. (English) Zbl 0801.60083 Commun. Stat., Stochastic Models 10, No. 1, 145-182 (1994). Reviewer: E.A.van Doorn (Enschede) MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{D. M. Lucantoni} et al., Commun. Stat., Stochastic Models 10, No. 1, 145--182 (1994; Zbl 0801.60083) Full Text: DOI
Whitt, Ward Towards better multi-class parametric-decomposition approximations for open queueing networks. (English) Zbl 0788.60116 Ann. Oper. Res. 48, No. 1-4, 221-248 (1994). MSC: 60K25 90B22 90B15 PDFBibTeX XMLCite \textit{W. Whitt}, Ann. Oper. Res. 48, No. 1--4, 221--248 (1994; Zbl 0788.60116) Full Text: DOI
Eick, Stephen G.; Massey, William A.; Whitt, Ward The physics of the \(M_ t/G/\infty\) queue. (English) Zbl 0781.60086 Oper. Res. 41, No. 4, 731-742 (1993). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{S. G. Eick} et al., Oper. Res. 41, No. 4, 731--742 (1993; Zbl 0781.60086) Full Text: DOI
Whitt, Ward Counterexamples for comparisons of queues with finite waiting rooms. (English) Zbl 0747.60091 Queueing Syst. 10, No. 3, 271-278 (1992). Reviewer: H.Wegmann (Darmstadt) MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{W. Whitt}, Queueing Syst. 10, No. 3, 271--278 (1992; Zbl 0747.60091) Full Text: DOI
Abate, Joseph; Kijima, Masaaki; Whitt, Ward Decomposition of the M/M/1 transition function. (English) Zbl 0731.60086 Queueing Syst. 9, No. 3, 323-336 (1991). Reviewer: G.Falin (Moskva) MSC: 60K25 60J35 90B22 PDFBibTeX XMLCite \textit{J. Abate} et al., Queueing Syst. 9, No. 3, 323--336 (1991; Zbl 0731.60086) Full Text: DOI
Kella, Offer; Whitt, Ward Queues with server vacations and Lévy processes with secondary jump input. (English) Zbl 0725.60079 Ann. Appl. Probab. 1, No. 1, 104-117 (1991). Reviewer: He Sheng Wu (Shanghai) MSC: 60J99 60K25 60K30 PDFBibTeX XMLCite \textit{O. Kella} and \textit{W. Whitt}, Ann. Appl. Probab. 1, No. 1, 104--117 (1991; Zbl 0725.60079) Full Text: DOI
Glynn, Peter W.; Whitt, Ward Indirect estimation via \(L=\lambda W\). (English) Zbl 0719.62098 Oper. Res. 37, No. 1, 82-103 (1989). MSC: 62M09 60K25 PDFBibTeX XMLCite \textit{P. W. Glynn} and \textit{W. Whitt}, Oper. Res. 37, No. 1, 82--103 (1989; Zbl 0719.62098) Full Text: DOI
Whitt, Ward An interpolation approximation for the mean workload in a GI/G/1 queue. (English) Zbl 0696.60086 Oper. Res. 37, No. 6, 936-952 (1989). Reviewer: S.Asmussen MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{W. Whitt}, Oper. Res. 37, No. 6, 936--952 (1989; Zbl 0696.60086) Full Text: DOI
Whitt, Ward Planning queueing simulations. (English) Zbl 0683.60075 Manage. Sci. 35, No. 11, 1341-1366 (1989). MSC: 60K25 65C05 90B22 PDFBibTeX XMLCite \textit{W. Whitt}, Manage. Sci. 35, No. 11, 1341--1366 (1989; Zbl 0683.60075) Full Text: DOI
Glynn, Peter W.; Whitt, Ward Ordinary CLT and WLLN versions of \(L=\lambda W\). (English) Zbl 0685.90043 Math. Oper. Res. 13, No. 4, 674-692 (1988). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{P. W. Glynn} and \textit{W. Whitt}, Math. Oper. Res. 13, No. 4, 674--692 (1988; Zbl 0685.90043) Full Text: DOI
Abate, Joseph; Whitt, Ward Simple spectral representations for the M/M/1 queue. (English) Zbl 0671.60083 Queueing Syst. 3, No. 4, 321-346 (1988). Reviewer: W.Schlee MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{J. Abate} and \textit{W. Whitt}, Queueing Syst. 3, No. 4, 321--346 (1988; Zbl 0671.60083) Full Text: DOI
Glynn, Peter W.; Whitt, Ward An LIL version of \(L=\lambda W\). (English) Zbl 0665.90033 Math. Oper. Res. 13, No. 4, 693-710 (1988). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{P. W. Glynn} and \textit{W. Whitt}, Math. Oper. Res. 13, No. 4, 693--710 (1988; Zbl 0665.90033) Full Text: DOI
Abate, Joseph; Whitt, Ward Transient behavior of the M/M/1 queue via Laplace transforms. (English) Zbl 0638.60097 Adv. Appl. Probab. 20, No. 1, 145-178 (1988). Reviewer: E.A.Doorn MSC: 60K25 60J80 90B22 PDFBibTeX XMLCite \textit{J. Abate} and \textit{W. Whitt}, Adv. Appl. Probab. 20, No. 1, 145--178 (1988; Zbl 0638.60097) Full Text: DOI
Abate, Joseph; Whitt, Ward Transient behavior of the M/M/1 queue: Starting at the origin. (English) Zbl 0671.60082 Queueing Syst. 2, No. 1, 41-65 (1987). Reviewer: W.Schlee MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{J. Abate} and \textit{W. Whitt}, Queueing Syst. 2, No. 1, 41--65 (1987; Zbl 0671.60082) Full Text: DOI
Whitt, Ward Deciding which queue to join: Some counterexamples. (English) Zbl 0622.90035 Oper. Res. 34, 55-62 (1986). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{W. Whitt}, Oper. Res. 34, 55--62 (1986; Zbl 0622.90035) Full Text: DOI
Whitt, Ward Queues with superposition arrival processes in heavy traffic. (English) Zbl 0585.60090 Stochastic Processes Appl. 21, 81-91 (1985). Reviewer: H.Daduna MSC: 60K25 60B10 60F05 PDFBibTeX XMLCite \textit{W. Whitt}, Stochastic Processes Appl. 21, 81--91 (1985; Zbl 0585.60090) Full Text: DOI
Whitt, W. On approximations for queues. III: Mixtures of exponential distributions. (English) Zbl 0598.90042 AT&T Bell Lab. Tech. J. 63, 163-175 (1984). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{W. Whitt}, AT\& T Bell Lab. Tech. J. 63, 163--175 (1984; Zbl 0598.90042) Full Text: DOI
Whitt, W. On approximations for queues. I: Extremal distributions. (English) Zbl 0598.90040 AT&T Bell Lab. Tech. J. 63, 115-138 (1984). MSC: 90B22 60K25 60K20 PDFBibTeX XMLCite \textit{W. Whitt}, AT\& T Bell Lab. Tech. J. 63, 115--138 (1984; Zbl 0598.90040) Full Text: DOI
Heyman, Daniel P.; Whitt, Ward The asymptotic behavior of queues with time-varying arrival rates. (English) Zbl 0535.60088 J. Appl. Probab. 21, 143-156 (1984). Reviewer: H.Wegmann MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{D. P. Heyman} and \textit{W. Whitt}, J. Appl. Probab. 21, 143--156 (1984; Zbl 0535.60088) Full Text: DOI
Whitt, Ward Refining diffusion approximations for queues. (English) Zbl 0538.90025 Oper. Res. Lett. 1, 165-169 (1982). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{W. Whitt}, Oper. Res. Lett. 1, 165--169 (1982; Zbl 0538.90025) Full Text: DOI
Whitt, Ward The Marshall and Stoyan bounds for IMRL/G/1 queues are tight. (English) Zbl 0507.90038 Oper. Res. Lett. 1, 209-213 (1982). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{W. Whitt}, Oper. Res. Lett. 1, 209--213 (1982; Zbl 0507.90038) Full Text: DOI