-'S.
■fco the tail of the recurrence tine distribution, i.e.
to p*.
More directly, the vector of steady state probabilities
can be derived from the following two conditions;
/r' A .
? * ■
Sff I
= P U *_1
= N qu + qu 1 + qu 2 + ...
'ike
■The 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* = p K u 0
u = 1 - p p < 1
o
The result.is, of course, identical with the distribution
of the spent waiting time.derived above.