-'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.