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Transient and busy period analysis of the GI/G/1 Queue Part I, the method of stages by Dimitris Bertsimas

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Published by Center for Computational Research in Economics and Management Science, Sloan School of Management, Massachusetts Institute of Technology in Cambridge, Mass .
Written in English


Book details:

Edition Notes

Other titlesMethod of stages, transient and busy period analysis of the GI/G/1, part I, the.
Statementby Dimitris J. Bertsimas and Daisuke Nakazato.
SeriesSloan W.P -- 3098-89-MS, Working paper (Sloan School of Management) -- 3098-89.
ContributionsNakazato, Daisuke., Sloan School of Management. Center for Computational Research in Economics and Management Science.
The Physical Object
Pagination41 p. :
Number of Pages41
ID Numbers
Open LibraryOL17938793M
OCLC/WorldCa20927386

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TransientandBusyPeriodAnalysisoftheGI/G/1 Queue:PartII,SolutionasaHilbertProblem by Dimitris}.Bertsimas,JulianKeilson, DaisukeNakazato,andHongtaoZhang SloanW.P TransientandBusyPeriodAnalysisofthe GI/G/1Queue:PartI,TheMethodofStages ty mas and DaisukeNakazato December,   title = "Transient and busy period analysis of the GI/G/1 queue: The method of stages", abstract = "In this paper we study the transient behavior of the MGEL/MGEM/1 queueing system, where MGE is the class of mixed generalized Erlang distributions which can approximate an arbitrary by: Transient and busy period analysis of the GI/G/1 queue: The method of stages Dimitris J. Bertsimas 1 Sloan School of Management, MIT, Cambridge, MA , USA Daisuke Nakazato Operations Research Center, MIT, Cambridge, MA , USA Received 28 June ; revised 19 February

This paper aims at deriving explicit transient queue length distribution for GI/M/1 system and busy period analysis of bulk queue GIb/M/1 through lattice paths (LPs) combinatorics. In this paper we study two transient characteristics of a Markov-fluid-driven queue, viz., the busy period and the covariance function of the workload process. Kanwar Sen () could further extend LP approach also to transient busy period analysis for finite queue M/G/1/N. The results obtained are elegant and explicit. This paper, on approximating the general inter-arrival time distribution by C 2, further illustrates the application of LP combinatorics to carry transient analysis of GI/M/1/N by: Models of this type can be solved by considering one of two M/G/1 queue dual systems, one proposed by Ramaswami and one by Bright. Busy period. The busy period can be computed by using a duality between the G/M/1 model and M/G/1 queue generated by the Christmas tree transformation. Response timeArrival processes: Poisson process, .

Transient and busy period analysis of the GI/G/1 queue as a Hilbert factorization problem, (with J. Keilson, D. Nakazato, H. Zhang), Journal of Applied Probability, 28, , Transient and busy period analysis for the GI/G/1 queue; The method of stages, (with D. Nakazato), Queuing Systems and Applications, 10, , Dimitris Bertsimas’s most popular book is Introduction to Linear Optimization. Transient and Busy Period Analysis of the GI/G/1 Queue: Part II, Solution as a Hilbert Refresh and try again. Rate this book. Clear rating. 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars. Transient and Busy Period Analysis of the GI/G/1.   Transient and Busy Period Analysis of the GI/G/1 Queue. Daisuke Nakazato. 20 Feb Transient and Busy Period Analysis of the Gi/G/1 Queue. Dimitris Bertsimas. 03 Mar Add to basket. Transient and Busy Period Analysis of the Gi/G/1 Queue. Dimitris Bertsimas. 10 Sep Hardback. US$ Add to basket. On Central Limit. In this paper we extend the busy period analysis to queues of the M/G/1 and of the G/M/1 type, using other methods. The paper has five sections. Following this introduction we present in Section 2 the basic probabilistic structure and the LSTs of the lengths of the busy periods, for both accessibility models, in the M / G /1 by: