RESEARCH ARTICLE Accuracy vs Efficiency of Hyper-exponential Approximationsof the Response Time Distribution of MMPP/M/1 Queues

[1]  Sally Floyd,et al.  Wide area traffic: the failure of Poisson modeling , 1995, TNET.

[2]  Gerardo Rubino,et al.  Transient analysis of the M/M/1 queue , 1993, Advances in Applied Probability.

[3]  Paulo Salvador,et al.  Fitting Self-Similar Traffic by a Superposition of MMPPs Modeling the Distribution at Multiple Time Scales , 2004 .

[4]  Beatrice Meini,et al.  Solving matrix polynomial equations arising in queueing problems , 2002 .

[5]  Yutaka Takahashi,et al.  Practical Time-Scale Fitting of Self-Similar Traffic with Markov-Modulated Poisson Process , 2001, Telecommun. Syst..

[6]  Prasant Mohapatra,et al.  ACES: An efficient admission control scheme for QoS-aware web servers , 2003, Comput. Commun..

[7]  Peter G. Harrison,et al.  Sojourn time distributions in modulated G-queues with batch processing , 2004 .

[8]  Yixin Diao,et al.  Enforcing Quality of Service Using Decentralized Runtime Feedback Control , 2003, Int. CMG Conference.

[9]  Bruno Ciciani,et al.  Approximate Analytical Models for Networked Servers Subject to MMPP Arrival Processes , 2007, Sixth IEEE International Symposium on Network Computing and Applications (NCA 2007).

[10]  Mark S. Squillante,et al.  MATRIX-ANALYTIC ANALYSIS OF A MAP/PH/1 QUEUE FITTED TO WEB SERVER DATA , 2002 .

[11]  Marcel F. Neuts,et al.  Matrix-Geometric Solutions in Stochastic Models , 1981 .

[12]  Wolfgang Fischer,et al.  The Markov-Modulated Poisson Process (MMPP) Cookbook , 1993, Perform. Evaluation.

[13]  Pablo Rodriguez,et al.  Analysis of web caching architectures: hierarchical and distributed caching , 2001, TNET.

[14]  Averill M. Law,et al.  The Transient Behavior of the M/M/s Queue, with Implications for Steady-State Simulation , 1985, Oper. Res..

[15]  Walter Willinger,et al.  On the self-similar nature of Ethernet traffic , 1993, SIGCOMM '93.

[16]  Walter Willinger,et al.  Self-similarity through high-variability: statistical analysis of Ethernet LAN traffic at the source level , 1997, TNET.

[17]  Zhen Liu,et al.  Traffic model and performance evaluation of Web servers , 2001, Perform. Evaluation.

[18]  Daniel A. Menascé Automatic QoS Control , 2003, IEEE Internet Comput..

[19]  Miklós Telek,et al.  A MARKOVIAN POINT PROCESS EXHIBITING MULTIFRACTAL BEHAVIOR AND ITS APPLICATION TO TRAFFIC MODELING , 2002 .

[20]  Azer Bestavros,et al.  Self-similarity in World Wide Web traffic: evidence and possible causes , 1997, TNET.

[21]  Michael Muskulus,et al.  Modeling Job Arrivals in a Data-Intensive Grid , 2006, JSSPP.

[22]  Li Fan,et al.  Web caching and Zipf-like distributions: evidence and implications , 1999, IEEE INFOCOM '99. Conference on Computer Communications. Proceedings. Eighteenth Annual Joint Conference of the IEEE Computer and Communications Societies. The Future is Now (Cat. No.99CH36320).

[23]  Peter G. Harrison,et al.  Delay analysis of priority queues with modulated traffic , 2005, 13th IEEE International Symposium on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems.

[24]  António Pacheco,et al.  Multiscale Fitting Procedure Using Markov Modulated Poisson Processes , 2003, Telecommun. Syst..

[25]  Michele Colajanni,et al.  Mechanisms for quality of service in Web clusters , 2001, Comput. Networks.