The Queueing System Of Being Variable Service Rate And Impatient Customers

The M / M /1/∞queuing system with variable service rate considers two servi- -ce ratesμ1 ,μ2 and that the service rateμj changes with the queuing length j with the following The M / M /1/∞queuing system with impatient customers and the M / M / n /∞que -uing system with impatient customers consider the leaving intensity of impatient customers isΔj = jδ(δ> 0).In this paper ,limit theorems for birth and death process is used to promote the above-mentioned theory and discuss the M / M / n /∞queuing system with variable service and with impatient customers in general ,that is Where m ( i ) is a strictly monotonic increasing function and n < m (1 ) < m( 2)< < m ( k)< .We derive the system's stationary distribution and the main goal of parameters and verify that the above model is a special case of the model.