<p>The objective of this research is to develop a flexible stochastic intensity-function model for traffic arrivals arising in an Ethernet local area network. To test some well-known Bellcore datasets for long-rangedependence or nonstationarity, a battery of statistical tests was applied---including a new extensionof the classical Priestley-Rao test for nonstationarity; and the results of this analysis revealedpronounced nonstationarity in all of the Bellcore datasets. To model such teletraffic arrivalprocesses accurately, a stochastic intensity function was formulated as a nonlinear extension of theCox regression model that incorporates a general time trend together with cyclic effects andpacket-size effects. The proposed intensity-function model has anexponential-polynomial-trigonometric form that includes a covariate representing the latest packet size. Maximum likelihoodestimates of the unknown continuous parameters of the stochastic intensity function areobtained numerically, and the degrees of the polynomial time and packet-size components aredetermined by a likelihood ratio test. Although this approach yielded excellent fits to the Bellcoredatasets, it also yielded the surprising conclusion that packet size has a negligible effect on thepacket arrival rate. A follow-up analysis of the packet-size process confirmed this conclusion andshed additional light on the packet-generation mechanism in Ethernet local area networks. This research also includes the development of procedures for simulating traffic processes having a stochastic intensity function of the proposed form. An extensive Monte Carlo performanceevaluation demonstrates the effectiveness of the proposed procedure for modeling and simulation ofteletraffic arrival processes.<P>
| Identifer | oai:union.ndltd.org:NCSU/oai:NCSU:etd-19990706-145610 |
| Date | 07 July 1999 |
| Creators | Tan, Phaik-Hoon |
| Contributors | James R. Wilson, Thom J. Hodgson, Minor Representative, Arne A. Nilsson, Henry L. W. Nuttle |
| Publisher | NCSU |
| Source Sets | North Carolina State University |
| Language | English |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://www.lib.ncsu.edu/theses/available/etd-19990706-145610 |
| Rights | unrestricted, I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to NC State University or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report. |
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