Kalaivani, S.; Ravichandran, J. Performance evaluation of exponential distribution using Six Sigma-based tail probabilities. (English) Zbl 1497.62356 Commun. Stat., Simulation Comput. 50, No. 11, 3125-3145 (2021). MSC: 62P30 90B25 PDFBibTeX XMLCite \textit{S. Kalaivani} and \textit{J. Ravichandran}, Commun. Stat., Simulation Comput. 50, No. 11, 3125--3145 (2021; Zbl 1497.62356) Full Text: DOI
Harchol-Balter, Mor Open problems in queueing theory inspired by datacenter computing. (English) Zbl 1475.60181 Queueing Syst. 97, No. 1-2, 3-37 (2021). MSC: 60K25 60K30 68M20 90B36 91B32 PDFBibTeX XMLCite \textit{M. Harchol-Balter}, Queueing Syst. 97, No. 1--2, 3--37 (2021; Zbl 1475.60181) Full Text: DOI
Chen, Yan; Whitt, Ward Extremal models for the \(G I / G I / K\) waiting-time tail-probability decay rate. (English) Zbl 1525.90115 Oper. Res. Lett. 48, No. 6, 770-776 (2020). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{W. Whitt}, Oper. Res. Lett. 48, No. 6, 770--776 (2020; Zbl 1525.90115) Full Text: DOI
Claeys, Dieter; Steyaert, Bart; Walraevens, Joris; Laevens, Koenraad; Bruneel, Herwig Tail probabilities of the delay in a batch-service queueing model with batch-size dependent service times and a timer mechanism. (English) Zbl 1352.90025 Comput. Oper. Res. 40, No. 5, 1497-1505 (2013). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{D. Claeys} et al., Comput. Oper. Res. 40, No. 5, 1497--1505 (2013; Zbl 1352.90025) Full Text: DOI Link
Claeys, Dieter; Steyaert, Bart; Walraevens, Joris; Laevens, Koenraad; Bruneel, Herwig Tail distribution of the delay in a general batch-service queueing model. (English) Zbl 1251.90089 Comput. Oper. Res. 39, No. 11, 2733-2741 (2012). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{D. Claeys} et al., Comput. Oper. Res. 39, No. 11, 2733--2741 (2012; Zbl 1251.90089) Full Text: DOI Link
Alfa, Attahiru Sule; Xue, Jungong Efficient computations for the discrete \(GI/G/1\) system. (English) Zbl 1241.90027 INFORMS J. Comput. 19, No. 3, 480-484 (2007). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{A. S. Alfa} and \textit{J. Xue}, INFORMS J. Comput. 19, No. 3, 480--484 (2007; Zbl 1241.90027) Full Text: DOI
Maertens, Tom; Walraevens, Joris; Bruneel, Herwig Priority queueing systems: from probability generating functions to tail probabilities. (English) Zbl 1177.90096 Queueing Syst. 55, No. 1, 27-39 (2007). MSC: 90B22 PDFBibTeX XMLCite \textit{T. Maertens} et al., Queueing Syst. 55, No. 1, 27--39 (2007; Zbl 1177.90096) Full Text: DOI Link
Enăchescu, Denis; Vernic, Raluca Approximating the distribution of a randomly weighted sum of random variables using kernel and neural network methods. (English) Zbl 1150.62446 Math. Rep., Bucur. 8(58), No. 1, 37-47 (2006). Reviewer: Neculai Curteanu (Iaşi) MSC: 62P05 62M45 62G07 65C60 90B30 PDFBibTeX XMLCite \textit{D. Enăchescu} and \textit{R. Vernic}, Math. Rep., Buchar. 8(58), No. 1, 37--47 (2006; Zbl 1150.62446)
Denisov, Denis; Foss, Serguei; Korshunov, Dima Tail asymptotics for the supremum of a random walk when the mean is not finite. (English) Zbl 1056.90028 Queueing Syst. 46, No. 1-2, 15-33 (2004). MSC: 90B22 PDFBibTeX XMLCite \textit{D. Denisov} et al., Queueing Syst. 46, No. 1--2, 15--33 (2004; Zbl 1056.90028) Full Text: DOI arXiv
Alfa, Attahiru Sule; Xue, Jungong; Ye, Qiang Perturbation theory for the asymptotic decay rates in the queues with Markovian arrival process and/or Markovian service process. (English) Zbl 0969.60096 Queueing Syst. 36, No. 4, 287-301 (2000); correction ibid. 39, No. 1, 5-6 (2001). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{A. S. Alfa} et al., Queueing Syst. 36, No. 4, 287--301 (2000; Zbl 0969.60096) Full Text: DOI
Subramanian, Vijay; Srikant, R. Tail probabilities of low-priority waiting times and queue lengths in MAP/GI/1 queues. (English) Zbl 0942.90019 Queueing Syst. 34, No. 1-4, 215-236 (2000). MSC: 90B22 90C40 60K25 PDFBibTeX XMLCite \textit{V. Subramanian} and \textit{R. Srikant}, Queueing Syst. 34, No. 1--4, 215--236 (2000; Zbl 0942.90019) Full Text: DOI
Chang, Cheng-Shang Performance guarantees in communication networks. (English) Zbl 0965.90007 Telecommunication Networks and Computer Systems. London: Springer. xx, 392 p. (2000). Reviewer: P.R.Parthasarathy (Chennai) MSC: 90B18 90-02 68M10 68-02 PDFBibTeX XMLCite \textit{C.-S. Chang}, Performance guarantees in communication networks. London: Springer (2000; Zbl 0965.90007)
Willmot, Gordon E. On a class of approximations for ruin and waiting time probabilities. (English) Zbl 0911.90172 Oper. Res. Lett. 22, No. 1, 27-32 (1998). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{G. E. Willmot}, Oper. Res. Lett. 22, No. 1, 27--32 (1998; Zbl 0911.90172) Full Text: DOI
Parulekar, Minothi; Makowski, Armand M. Tail probabilities for \(M/G/\infty\) input processes. I: Preliminary asymptotics. (English) Zbl 0905.90078 Queueing Syst. 27, No. 3-4, 271-296 (1997). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{M. Parulekar} and \textit{A. M. Makowski}, Queueing Syst. 27, No. 3--4, 271--296 (1997; Zbl 0905.90078) Full Text: DOI
van Dijk, Nico M.; Miyazawa, Masakiyo Error bounds on a practical approximation for finite tandem queues. (English) Zbl 0892.90084 Oper. Res. Lett. 21, No. 4, 201-208 (1997). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{N. M. van Dijk} and \textit{M. Miyazawa}, Oper. Res. Lett. 21, No. 4, 201--208 (1997; Zbl 0892.90084) 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
Steyaert, Bart; Xiong, Yijun Analysis of a discrete-time queue with general three-state Markovian traffic sources. (English) Zbl 0875.90306 Perform. Eval. 24, No. 4, 277-294 (1996). MSC: 90B22 PDFBibTeX XMLCite \textit{B. Steyaert} and \textit{Y. Xiong}, Perform. Eval. 24, No. 4, 277--294 (1996; Zbl 0875.90306) Full Text: DOI
Glynn, Peter W.; Torres, Marcelo Nonparametric estimation of tail probabilities for the single-server queue. (English) Zbl 0856.62036 Glasserman, Paul (ed.) et al., Stochastic networks: stability and rare events. Proceedings of the workshop, Columbia, OH, USA, November 3-4, 1995. New York, NY: Springer. Lect. Notes Stat., Springer-Verlag. 117, 109-138 (1996). MSC: 62G05 62M02 60K25 90B22 PDFBibTeX XMLCite \textit{P. W. Glynn} and \textit{M. Torres}, in: Stochastic networks: stability and rare events. Proceedings of the workshop, New York, NY, USA, November 3-4, 1995. New York, NY: Springer. 109--138 (1996; Zbl 0856.62036)
Majewski, Kurt Large deviations of feedforward queueing networks. (English) Zbl 0880.90053 München: Univ. München, Fak. f. Math. 160 p. (1996). MSC: 90B22 60K25 90B18 PDFBibTeX XMLCite \textit{K. Majewski}, Large deviations of feedforward queueing networks. München: Univ. München, Fak. f. Math. (1996; Zbl 0880.90053)
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
Kulkarni, V. G. Effective bandwidths for Markov regenerative sources. (English) Zbl 0876.60084 Queueing Syst. 24, No. 1-4, 137-153 (1996). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{V. G. Kulkarni}, Queueing Syst. 24, No. 1--4, 137--153 (1996; Zbl 0876.60084) Full Text: DOI
Laevens, Koenraad; Bruneel, Herwig Delay analysis for discrete-time queueing systems with multiple randomly interrupted servers. (English) Zbl 0912.90138 Eur. J. Oper. Res. 85, No. 1, 161-177 (1995). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{K. Laevens} and \textit{H. Bruneel}, Eur. J. Oper. Res. 85, No. 1, 161--177 (1995; Zbl 0912.90138) Full Text: DOI
Xiong, Yijun; Bruneel, Herwig An analytic approach to obtain tail distributions of buffer contents and delay in a discrete-time single-server queue with bursty arrivals. (English) Zbl 0864.60075 Belg. J. Oper. Res. Stat. Comput. Sci. 34, No. 4, 3-13 (1994). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{Y. Xiong} and \textit{H. Bruneel}, Belg. J. Oper. Res. Stat. Comput. Sci. 34, No. 4, 3--13 (1994; Zbl 0864.60075)
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
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
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
Choudhury, Gagan L.; Whitt, Ward Heavy-traffic asymptotic expansions for the asymptotic decay rates in the BMAP/G/1 queue. (English) Zbl 0802.60085 Commun. Stat., Stochastic Models 10, No. 2, 453-498 (1994). Reviewer: H.Daduna (Hamburg) MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{G. L. Choudhury} and \textit{W. Whitt}, Commun. Stat., Stochastic Models 10, No. 2, 453--498 (1994; Zbl 0802.60085) Full Text: DOI
Halfin, Shlomo The shortest queue problem. (English) Zbl 0602.60080 J. Appl. Probab. 22, 865-878 (1985). Reviewer: H.Wegmann MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{S. Halfin}, J. Appl. Probab. 22, 865--878 (1985; Zbl 0602.60080) Full Text: DOI
Seelen, L. P.; Tijms, H. C. Approximations for the conditional waiting times in the GI/G/c queue. (English) Zbl 0553.60088 Oper. Res. Lett. 3, 183-190 (1984). Reviewer: L.R.Goel MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{L. P. Seelen} and \textit{H. C. Tijms}, Oper. Res. Lett. 3, 183--190 (1984; Zbl 0553.60088) Full Text: DOI