Tetsuya TAKINE
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The Title of Master Thesis is:
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Performance Analysis of a Polling
System with Single Buffers
and Its Application to Interconnected Networks
which was published in
IEEE Journal on Selected Areas in Communications,
vol.SAC-4, no.6, pp.802-812, September 1986.
Abstract
We first consider the interdeparture process of a symmetric polling
system with single buffer at each station, where distributions of
transmission times and switchover times are assumed to be general.
Under the assumption that consecutive interdeparture times are
independent, the probability distribution is analyzed and the
Laplace-Stieltjes transform is given. Numerical examples show that the
coefficient of variation of interdeparture times is not monotomic with
respect to the arrival rate. Based on the analysis, we can obtain the
characteristics of outbound traffic if we are concerned with
unidirectional traffic flow. In general, however, there is inbound
traffic from external networks in the interconnected communication
system and its effect on performance characteristics should be taken
into account. We next propose the model of a polling system having
traffic from outside the system. The model consisits of homogeneous
stations with single buffers and a depot station with infinite buffer
where inbound traffic is dealt with. We analyze the model and obtain
the throughput and mean waiting time for the case of constant
transmission times and constant switchover times. Numerical examples
show that throughput of the system is not sensitive to inbound traffic
if the total load of the system is moderate.
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