A Theory of Traffic-Measurement Errors for Loss Systems with Renewal Input
the total number of attempts (peg count)
the number of unsuccessful attempts (overflow count)
the usage based on discrete samples (TOR measurement) or on continuous scan.
As an application of the theory, we examine the variances of the standard estimates of the load and peakedness (variance-to-mean-ratio) of an input traffic stream for a time interval of one hour. Other possible applications to Bell System trunking problems are discussed.
KeywordsCovariance Function Renewal Process Loss System Trunk Group Input Traffic
Unable to display preview. Download preview PDF.
- 4.Kuczura, A. and S. R. Neal, “The Accuracy of Call-Congestion Measurements for Loss Systems with Renewal Input,” to appear, B.S.T.J., Dec. 1972.Google Scholar
- 5.Descloux, A., “On Markovian Servers with Recurrent Input,” Proc. Sixth Intl. Teletraffic Cong., Munich, West Germany, 1970, pp. 331/1–331/6.Google Scholar
- 6.Kendall, M. G. and A. Stuart, The Advanced Theory of Statistics Vol. 1, Hafner, New York, 1958, Chapter 10.Google Scholar
- 7.Hammersley, J. M., Discussion of paper by W. L. Smith, “Renewal Theory and Its Ramifications,” J. Roy. Statist. Soc., Series B, Vol. 20, No. 2, 1958, pp. 289–291.Google Scholar
- 9.Takács, L., Introduction to the Theory of Queues Oxford University Press, New York, 1962, Chapter 4.Google Scholar
- 10.Eisenberg, M., “A Program for the Analysis of a Class of Electronic Switching Systems,” unpublished work, April 15, 1971.Google Scholar
- 11.Kuczura, A., “The Interrupted Poisson Process as an Overflow Process,” to appear, B.S.T.J., March, 1973.Google Scholar