K. 
to the tail of the recurrence time distribution,i.e. to p . 
More directly, the rector of steady state probabilities 
can be derived from the following two conditions: 
U K = P U *L. 1 
u o = Nq \ + ^ U 1 + <l u 2 + * * * 
t \ v i x 
•Ihe first condition ensures the invariance of the steady 
state; the seco.nd ensures that entries to and emits from 
the income population balance. 
It follows that 
u* = pKu o ^ 
u Q = 1- p p<1 
The result.is, of course, identical with the distribution 
of the spent waiting time,derived above.