U o
* IC. cM
UA
to the tail of the recurrence time distribution,i.e. to p .
More directly, the vector of steady state probabilities
can be derived from the following two conditions;
a K " P U K-1
a o 1°1 ♦ 9°2 + "• *' % ' VC
M ^ \ \
(Ehe first condition ensures the invariance of the steady
state; the seco.nd ensures that entries to and exits from
the income population balance.
It follows that
Ofc = P^o ^
u n = 1 - p p < 1
o s
The result.is, of course, identical with the distribution
of the spent waiting time.derived above.