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.