6 research outputs found
Performance analysis of polling systems with retrials and glue periods
We consider gated polling systems with two special features: (i) retrials,
and (ii) glue or reservation periods. When a type- customer arrives, or
retries, during a glue period of station , it will be served in the next
visit period of the server to that station. Customers arriving at station
in any other period join the orbit of that station and retry after an
exponentially distributed time. Such polling systems can be used to study the
performance of certain switches in optical communication systems.
For the case of exponentially distributed glue periods, we present an
algorithm to obtain the moments of the number of customers in each station. For
generally distributed glue periods, we consider the distribution of the total
workload in the system, using it to derive a pseudo conservation law which in
its turn is used to obtain accurate approximations of the individual mean
waiting times. We also consider the problem of choosing the lengths of the glue
periods, under a constraint on the total glue period per cycle, so as to
minimize a weighted sum of the mean waiting times
A queueing system with linear repeated attempts, bernoulli schedule and feedback
Embedded Markov chain, ergodicity, steady-state distribution, stochastic decomposition, Bernoulli feedback, 60K25,