This paper gathers the scattered empirical and theoretical elements of the performancemanagement problem for commercial T1-rate transmission service and integrates these elements in a useful way. We propose two variants of a time-based performancemonitoring algorithm that are Insensitive to the arrival pattern of transmission errors. The first variant compares a count of errored seconds accumulated over an interval of time to a fixed threshold, and Issues an alert to the network operator indicating degraded transmission performance whenever the count exceeds the threshold before the measurement Interval expires. The fixed-threshold test is calibrated with reference to the well-known Neyman model of transmission errors on metallicconductor systems. This calibration is then shown to be suitable as well for monitoring the performance of fiber-optic transmission systems where errored seconds follow the cumulative binomial distribution. The second variant of the new performance-monitoring algorithm replaces the fixed-threshold test with a dual-threshold test having a lower threshold that remains fixed and a higher threshold that floats in response to changes in error characteristics. An analysis based on the difference equations that describe the movement of the floating threshold shows that the dual-threshold test is more responsive than the fixed-threshold test in detecting nonstationary trends toward degraded transmission and in detecting stable but mediocre performance levels.
[1]
G. Pólya,et al.
Sur quelques points de la théorie des probabilités
,
1930
.
[2]
Robert Cohen,et al.
Testing Neyman's Model For Error Performance of 2 and 140 MBIT/S Line Sections
,
1984,
ICC.
[3]
V. Johannes.
Improving on bit error rate
,
1984,
IEEE Communications Magazine.
[4]
M. B. Brilliant.
Observations of errors and error rates on T1 digital repeatered lines
,
1978,
The Bell System Technical Journal.
[5]
A.R.K. Sastry,et al.
Models for channels with memory and their applications to error control
,
1978,
Proceedings of the IEEE.
[6]
Jerzy Neyman,et al.
On a New Class of "Contagious" Distributions, Applicable in Entomology and Bacteriology
,
1939
.
[7]
Ralf Herzer.
Comments on the Neyman and Beall Formulas for ‘Contagious’ Type-A Probability Distributions Applied to Burst Processes Especially in the Field of Digital Transmission
,
1983
.
[8]
Robert E. Moore.
Utilizing the SNA Alert in the Management of Multivendor Networks
,
1988,
IBM Syst. J..
[9]
Didier Becam,et al.
Poisson and Neyman Models Applied to Errored Seconds on Digital Transmission
,
1986,
ICC.