At a local grocery store there are queues for service at the fish counter (1), meat counter (2), and caf´e (3). For i D 1; 2; 3 customers arrive from outside the system to station i at rate i , and receive service at rate 4 C i . A customer leaving station i goes to j with probabilities p.i; j / given the following matrix 1 2 3 1 0 1=4 1=2 2 1=5 0 1=5 3 1=3 1=3 0 In equilibrium what is the probability no one is in the system, i.e., .0; 0; 0/.