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
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 Computing Laplace transforms for numerical inversion via continued fractions. (English) Zbl 1039.65512 INFORMS J. Comput. 11, No. 4, 394-405 (1999). MSC: 65R10 44A10 60J80 60K25 65C50 PDFBibTeX XMLCite \textit{J. Abate} and \textit{W. Whitt}, INFORMS J. Comput. 11, No. 4, 394--405 (1999; Zbl 1039.65512) Full Text: DOI Link
Abate, Joseph; Whitt, Ward Infinite-series representations of Laplace transforms of probability density functions for numerical inversion. (English) Zbl 1002.60016 J. Oper. Res. Soc. Japan 42, No. 3, 268-285 (1999). MSC: 60E10 65C50 PDFBibTeX XMLCite \textit{J. Abate} and \textit{W. Whitt}, J. Oper. Res. Soc. Japan 42, No. 3, 268--285 (1999; Zbl 1002.60016) Full Text: DOI
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
Abate, Joseph; Whitt, Ward Modeling service-time distributions with non-exponential tails: beta mixtures of exponentials. (English) Zbl 0940.60019 Commun. Stat., Stochastic Models 15, No. 3, 517-546 (1999). Reviewer: Anton Ştefănescu (Bucureşti) MSC: 60E05 60K25 PDFBibTeX XMLCite \textit{J. Abate} and \textit{W. Whitt}, Commun. Stat., Stochastic Models 15, No. 3, 517--546 (1999; Zbl 0940.60019) Full Text: DOI
Abate, J.; Whitt, W. Calculating transient characteristics of the Erlang loss model by numerical transform inversion. (English) Zbl 0905.60071 Commun. Stat., Stochastic Models 14, No. 3, 663-680 (1998). Reviewer: H.Daduna (Hamburg) MSC: 60K25 90B22 65T99 PDFBibTeX XMLCite \textit{J. Abate} and \textit{W. Whitt}, Commun. Stat., Stochastic Models 14, No. 3, 663--680 (1998; Zbl 0905.60071) 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
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 On the Laguerre method for numerically inverting Laplace transforms. (English) Zbl 0887.60100 INFORMS J. Comput. 8, No. 4, 413-427 (1996). MSC: 60K99 PDFBibTeX XMLCite \textit{J. Abate} et al., INFORMS J. Comput. 8, No. 4, 413--427 (1996; Zbl 0887.60100) Full Text: DOI Link
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward Exponential approximations for tail probabilities in queues. II: Sojourn time and workload. (English) Zbl 0879.60102 Oper. Res. 44, No. 5, 758-763 (1996). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{J. Abate} et al., Oper. Res. 44, No. 5, 758--763 (1996; Zbl 0879.60102) 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; Choudhury, Gagan L.; Lucantoni, David M.; Whitt, Ward Asymptotic analysis of tail probabilities based on the computation of moments. (English) Zbl 0865.65106 Ann. Appl. Probab. 5, No. 4, 983-1007 (1995). Reviewer: Wang Cheng-Shu (Denver) MSC: 65C99 65B05 60E10 PDFBibTeX XMLCite \textit{J. Abate} et al., Ann. Appl. Probab. 5, No. 4, 983--1007 (1995; Zbl 0865.65106) Full Text: DOI
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward Exponential approximations for tail probabilities in queues. I: Waiting times. (English) Zbl 0841.60076 Oper. Res. 43, No. 5, 885-901 (1995). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{J. Abate} et al., Oper. Res. 43, No. 5, 885--901 (1995; Zbl 0841.60076) Full Text: DOI
Abate, Joseph; Whitt, Ward Limits and approximations for the busy-period distribution in single-server queues. (English) Zbl 1336.60174 Probab. Eng. Inf. Sci. 9, No. 4, 581-602 (1995). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{J. Abate} and \textit{W. Whitt}, Probab. Eng. Inf. Sci. 9, No. 4, 581--602 (1995; Zbl 1336.60174) 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
Abate, Joseph; Whitt, Ward A heavy-traffic expansion for asymptotic decay rates of tail probabilities in multichannel queues. (English) Zbl 0814.90029 Oper. Res. Lett. 15, No. 5, 223-230 (1994). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{J. Abate} and \textit{W. Whitt}, Oper. Res. Lett. 15, No. 5, 223--230 (1994; Zbl 0814.90029) Full Text: DOI
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward Waiting-time tail probabilities in queues with long-tail service-time distributions. (English) Zbl 0805.60097 Queueing Syst. 16, No. 3-4, 311-338 (1994). Reviewer: P.R.Parthasarathy (Madras) MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{J. Abate} et al., Queueing Syst. 16, No. 3--4, 311--338 (1994; Zbl 0805.60097) Full Text: DOI
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward Asymptotics for steady-state tail probabilities in structured Markov queueing models. (English) Zbl 0801.60082 Commun. Stat., Stochastic Models 10, No. 1, 99-143 (1994). Reviewer: E.A.van Doorn (Enschede) MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{J. Abate} et al., Commun. Stat., Stochastic Models 10, No. 1, 99--143 (1994; Zbl 0801.60082) Full Text: DOI
Abate, Joseph; Whitt, Ward Numerical inversion of probability generating functions. (English) Zbl 0758.60014 Oper. Res. Lett. 12, No. 4, 245-251 (1992). Reviewer: C.Klüppelberg (Mannheim) MSC: 60E10 65C99 60K25 PDFBibTeX XMLCite \textit{J. Abate} and \textit{W. Whitt}, Oper. Res. Lett. 12, No. 4, 245--251 (1992; Zbl 0758.60014) Full Text: DOI
Abate, Joseph; Whitt, Ward Solving probability transform functional equations for numerical inversion. (English) Zbl 0766.60107 Oper. Res. Lett. 12, No. 5, 275-281 (1992). Reviewer: A.Dvurečenskij (Bratislava) MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{J. Abate} and \textit{W. Whitt}, Oper. Res. Lett. 12, No. 5, 275--281 (1992; Zbl 0766.60107) Full Text: DOI
Abate, Joseph; Whitt, Ward The Fourier-series method for inverting transforms of probability distributions. (English) Zbl 0749.60013 Queueing Syst. 10, No. 1-2, 5-87 (1992). Reviewer: A.Ulanovskii (Khar’kov) MSC: 60E10 65C99 PDFBibTeX XMLCite \textit{J. Abate} and \textit{W. Whitt}, Queueing Syst. 10, No. 1--2, 5--87 (1992; Zbl 0749.60013) 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
Abate, Joseph; Whitt, Ward Spectral theory for skip-free Markov chains. (English) Zbl 1134.60372 Probab. Eng. Inf. Sci. 3, No. 1, 77-88 (1989). MSC: 60J99 PDFBibTeX XMLCite \textit{J. Abate} and \textit{W. Whitt}, Probab. Eng. Inf. Sci. 3, No. 1, 77--88 (1989; Zbl 1134.60372) Full Text: DOI
Abate, Joseph; Whitt, Ward The correlation functions of RBM and M/M/1. (English) Zbl 0712.60104 Commun. Stat., Stochastic Models 4, No. 2, 315-359 (1988). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{J. Abate} and \textit{W. Whitt}, Commun. Stat., Stochastic Models 4, No. 2, 315--359 (1988; Zbl 0712.60104) 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
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
Boxma, O. J. (ed.); Syski, R. (ed.) [Kleinrock, L.; Lavenberg, S. S.; Syski, R.; Tijms, H. C.; Abate, J.; Whitt, W.; Coffman, E. G.; Mitrani, I.; Doshi, B. T.; Kaufman, J. S.; Blanc, J. P. C.; Boxma, O. J.; Groenendijk, W. P.; Fayolle, G. J.; Brun, M. A.; Le Gall, P.; van Doremalen, J. B. M.; Wessels, J.; Hofri, M.; Hordijk, A.; Kelly, F. P.; Gani, J.; Heyde, C. C.; Kaspi, H.; Rubinovitch, M.; Phelan, M. J.; Prabhu, N. U.; Jensen, A.] Queueing theory and its applications. Liber amicorum for J. W. Cohen. (English) Zbl 0657.60114 CWI Monographs, 7. Amsterdam etc.: North-Holland. xxii, 446 p. $ 97.25; Dfl. 185.00 (1988). Reviewer: H.Daduna MSC: 60K25 60-02 68M20 90B22 PDFBibTeX XMLCite \textit{O. J. Boxma} (ed.) and \textit{R. Syski} (ed.), Queueing theory and its applications. Liber amicorum for J. W. Cohen. Amsterdam etc.: North-Holland (1988; Zbl 0657.60114)
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
Abate, Joseph; Whitt, Ward Transient behavior of regulated Brownian motion. II: Non-zero initial conditions. (English) Zbl 0628.60084 Adv. Appl. Probab. 19, 599-631 (1987). Reviewer: W.S.Kendall MSC: 60J65 60J60 PDFBibTeX XMLCite \textit{J. Abate} and \textit{W. Whitt}, Adv. Appl. Probab. 19, 599--631 (1987; Zbl 0628.60084) Full Text: DOI
Abate, Joseph; Whitt, Ward Transient behavior of regulated Brownian motion. I: Starting at the origin. (English) Zbl 0628.60083 Adv. Appl. Probab. 19, 560-598 (1987). Reviewer: W.S.Kendall MSC: 60J65 60J60 PDFBibTeX XMLCite \textit{J. Abate} and \textit{W. Whitt}, Adv. Appl. Probab. 19, 560--598 (1987; Zbl 0628.60083) Full Text: DOI