5 research outputs found
A single-server Markovian queuing system with discouraged arrivals and retention of reneged customers
Customer impatience has a very negative impact on the queuing system under
investigation. If we talk from business point of view, the firms lose their
potential customers due to customer impatience, which affects their business
as a whole. If the firms employ certain customer retention strategies, then
there are chances that a certain fraction of impatient customers can be
retained in the queuing system. A reneged customer may be convinced to stay
in the queuing system for his further service with some probability, say q
and he may abandon the queue without receiving the service with a probability
p(=1− q). A finite waiting space Markovian single-server queuing model with
discouraged arrivals, reneging and retention of reneged customers is studied.
The steady state solution of the model is derived iteratively. The measures
of effectiveness of the queuing model are also obtained. Some important
queuing models are derived as special cases of this model
A transient solution to the M/M/c queuing model equation with balking and catastrophes
In this paper, we consider a Markovian multi-server queuing system with balking and catastrophes. The probability generating function technique along with the Bessel function properites is used to obtain a transient solution to the queuing model. The transient probabilities for the number of customers in the system are obtained explicitly. The expressions for the time-dependent expected number of customers in the system are also obtained. Finally, applications of the model are also discussed