1 research outputs found
Reneging in a batch arrival two phases queue with random feedback and Coxian-2 vacation
In this system we consider a batch arrival Poisson input with two phases of heterogeneous
service with random feedback in each servivce. The first phase of service is essential for
all customers, but with a probability tagged customer chose second phase, feedback to tail
of original queue or leave the system. Also, after completion of the second phase, with a
probability the customer leaves the system, or feedback to tail of original queue. At each
service completion epoch, the server may apt to take a vacation with a probability or
continue to be available in the system for the next service. The service times are assumed
to be general. The vacation period of the server has two heterogeneous phases with
Coxian-2 distribution. The vacation times are assumed to be general. When the server goes
for vacation, service become unavailable and customers may decide to renege at each
vacation times. We assume reneging follow exponential distribution. All stochastic
processes involved in this system (service and vacation times) are independent of each
other. We derive the PGF’s of the system and by using them the performance measures are
obtained. Some numerical approch are examined the validity of results