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TaPaKaH

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## Homework Statement

Suppose we have two types of customers, whose interarrival times are exponentially distributed with parameters ##\lambda_1## and ##\lambda_2##.

These customers have to share one server that gives preemptive priority to customers of type 1.

The service times are exponentially distributed with parameters ##\mu_1## and ##\mu_2##.

How can one compute the fraction of time, during which there are no type 1 customers in server+queue given that there is exactly one type 2 customer in server+queue?

## The Attempt at a Solution

I tried to approach the problem via balance equations for the number of type 1 customers, but couldn't figure out a way to implement "having exactly one type 2 customer" into the transition rates.