Arm processes and modeling methodology

References

• Bazaraa , M. S. , Sherali , H. D. and Shetty , CM. 1993 . “ Nonlinear Programming ” . John Wiley & Sons .
   Google Scholar
• Bratley , P. , Fox , B. L. and Schrage , L. E. 1987 . “ A Guide to Simulation ” . Springer-Verlag .
   Google Scholar
• Cario , M. C. and Nelson , B. L. 1996 . Autoregressive to Anything: Time-Series Input Processes for Simulation . OR Letters , 19 : 51 – 58 .
   Google Scholar
• De Bruijn , N. G. 1958 . “ Asymptotic Methods in Analysis ” . North-Holland .
   Google Scholar
• Fang , Y. and Lambadaris , I. 1995 . “ Modeling Compressed Video Traffic Using ARM (MA (k),D) Processes ” . In Manuscript, Carleton University
   Google Scholar
• Fang , Y. , Devetsikiotis , M. , Lambadaris , I. and Kaye , A. R. 1995 . Exponential Bounding Techniques for the Waiting Time Distribution of TES/GI/1 Queues . Acm sigmetrics and Performance '95 , May : 108 – 115 .
   Google Scholar
• Feller , W. 1971 . “ An Introduction to Probability Theory and its Applications ” . Wiley .
   Google Scholar
• Hill , J. R. and Melamed , B. 1995 . Testool: A Visual Interactive Environment for Modeling Autocorrelated Time Series . Performance Evaluation , 24 ( 1&2 ) : 3 – 22 .
   Web of Science ®Google Scholar
• Ismail , M. R. , Lambadaris , I. , Devetsikiotis , M. and Kaye , A. R. 1996 . Simulation and modeling of Variable Bit Rate Mpeg Video Transmission over ATM Networks . International Journal of Communication Systems , 9 : 283 – 297 .
   Web of Science ®Google Scholar
• Jagerman , D. L. and Melamed , B. 1992 . The Transition and Autocorrelation Structure of TES Processes Part I: General Theory . Stochastic Models , 8 ( 2 ) : 193 – 219 .
   Google Scholar
• Jagerman , D. L. and Melamed , B. 1992 . The Transition and Autocorrelation Structure of TES Processes Part II: Special Cases . Stochastic Models , 8 ( 3 ) : 499 – 527 .
   Google Scholar
• Jagerman , D. L. and Melamed , B. 1994 . The Spectral Structure of TES Processes . Stochastic Models , 10 ( 3 ) : 599 – 618 .
   Google Scholar
• Jagerman , D. L. and Melamed , B. 1994 . The Run Probabilities of TES Processes . Stochastic Models , 10 ( 4 ) : 831 – 851 .
   Google Scholar
• Jagerman , D. L. and Melamed , B. “Bidirectional Estimation and Confidence Regions for TES Processes” . Proceedings of Mascots '95 . January , pp. 94 – 98 . Durham
   Google Scholar
• Jelenkovic , P. and Melamed , B. 1995 . Algorithmic Modeling of TES Processes . IEEE Trans, on Automatic Control , 40 ( 7 ) 1305
   Web of Science ®Google Scholar
• Johnson , G. E. “Construction of Particular Random Processes” . Proc. of the IEEE . Vol. 82(2) , pp. 270 – 285 .
   Google Scholar
• Karademir , S. , Lambadaris , I. , Devetsikiotis , M. and Kaye , A. R. “Dynamic Rate Control of VBR MPEG Video Transmission over ATM Networks” . IEEE Global telecommunications GLOBECOM . Vol. 96 , pp. 1509 – 1515 . London
   Google Scholar
• Klaoudatos , G. and Devetsikiotis , M. 1999 . Ieee icc , 99 June to appear
   Google Scholar
• Law , A. and Kelton , D. W. 1991 . “ Simulation Modeling and Analysis ” . McGraw-Hill .
   Google Scholar
• Lee , D. S. , Melamed , B. , Reibman , A. and Sengupta , B. 1992 . TES Modeling for Analysis of a Video Multiplexer . Performance Evaluation , 16 : 21 – 34 .
   Web of Science ®Google Scholar
• Lewis , P.A.W. and Mckenzie , E. 1991 . Minification Processes and Their Transformations . J. Appl. Prob. , 28 : 45 – 57 .
   Web of Science ®Google Scholar
• Lighthill , M. J. 1960 . “ Introduction to Fourier Analysis and Generalised Functions ” . Cambridge University Press .
   Google Scholar
• Liu , B. and Munson , D. C. 1982 . Generation of a Random Sequence Having a Jointly Specified Marginal Distribution and Autocovariance . IEEE Trans, on Acoustics, Speech and Signal Processing , 30 ( 6 ) : 973 – 983 .
   Google Scholar
• Melamed , B. 1991 . TES A Class of Methods for Generating Autocorrelated Uniform Variates . Orsa j. on Computing , 3 : 317 – 329 .
   Google Scholar
• Melamed , B. 1993 . “ An Overview of TES Processes and Modeling Methodology ” . In in Performance Evaluation of Computer and Communications Systems , Lecture Notes in Computer Science Edited by: Do-natiello , L. and Nelson , R. 359 – 393 . Springer-Verlag .
   Google Scholar
• Melamed , B. 1997 . The Empirical TES Methodology: Modeling Empirical Time Series . J. of Applied Mathematics and Stochastic Analysis , 10 ( 4 ) : 333 – 353 .
   Google Scholar
• Melamed , B. and Hill , J. R. 1995 . A Survey of TES Modeling Applications . Simulations , 64 ( 6 ) : 353 – 370 .
   Google Scholar
• Melamed , B. , Raychaudhuri , D. , Sengupta , B. and Zdepski , J. 1994 . TES-Based Video Source Modeling For Performance Evaluation of Integrated Networks . IEEE Transactions on Communications , 42 ( 10 ) : 2773 – 2777 .
   Web of Science ®Google Scholar
• Melamed , B. , Ren , Q. and Sengupta , B. 1996 . The QTES/PH/1 Queue . Performance Evaluation , 26 : 1 – 20 .
   Web of Science ®Google Scholar
• Melamed , B. and Pendarakis , D. 1998 . Modeling Full-Length VBR Video Using Markov-Renewal-Modulated TES Models . IEEE jsac. , 16 ( 5 ) : 600 – 611 .
   Google Scholar
• Reininger , D. , Melamed , B. and Raychaudhuri , D. “Variable Bit Rate MPEG Video: Characterization, Modeling and Multiplexing” . Proceedings of the 14-th International Teletraffic Congress, Antibes Juan-les-Pins, France . Vol. 1a , June , pp. 295 – 306 .
   Google Scholar
• Schmeiser , B. W. 1990 . “ Simulation Experiments ” . In in Handbook of Operations Research and Management Science , Edited by: Heyman , D. and Sobel , M. North Holland .
   Google Scholar
• Sharon , CM. , Lambadaris , I. , Devetsikiotis , M. and Kaye , A. R. 1997 . Modeling and Control of VBR H.261 Video Transmission over Frame Relay Networks . IEEE Transactions on Circuits and Systems for Video Technology , 7 ( 3 ) : 527 – 538 .
   Web of Science ®Google Scholar
• Tolstov , G. P. 1962 . “ Fourier Series ” . Prentice-Hall .
   Google Scholar