This thesis attempts to evaluate Low's hypothesis that
for a single channel, single phase, steady state, infinite
queue, the system length depends only on (1) the square of
the coefficient of variation of the inter-arrival time
distribution, C[formula omitted],(2) the square of the coefficient of
variation of the service time distribution, C[formula omitted], and (3) the
ratio of mean arrival rate to mean service rate [formula omitted].
In order to support the hypothesis, Low developed a set of curves by using simulation method. However, his simulation model is considered inadequate in representing actual queueing situation. A different simulation model has been employed instead and is used to test the classical queue models as well as the general arbitrary queues.
The conclusion has been reached that in spite of the
differences between the actual and expected results, the
hypothesis is empirically true. Moreover, for any single
channel queue with given values of C[formula omitted] and C[formula omitted], the system
length L increases exponentially with the utilization factor, regardless of the patterns of arrival and service time distributions.
The reader is expected to have a basic knowledge of standard queueing theory and some of its applications. / Business, Sauder School of / Graduate
| Identifer | oai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/35538 |
| Date | January 1969 |
| Creators | Tan, Thiam Soon |
| Publisher | University of British Columbia |
| Source Sets | University of British Columbia |
| Language | English |
| Detected Language | English |
| Type | Text, Thesis/Dissertation |
| Rights | For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use. |
Page generated in 0.002 seconds