DELAY CURVES FOR CALLS SERVED AT RANDOM 



111 



Since pyo = 1, ally, goo = 1, and qjQ = 0, j 9^ 0. From these boundary 

 conditions, it follows at once from (19) that 



Qjk = 0, i > k. 



By comparison of (17) and (16) 



QkRk = Pok = Qok 



A short table of the g's is as follows: 



Continuation of this leads to the values of Rk listed in Table II. Notice 

 that for a = 1, by (18) 



Vjk (1) = (j + l)py+i..-i (1) 



= (i+l)(i+2)p,+2..-2(l) 



= (j + 1) (i + 2) . . . (j + k) 



since Qk = 1 for a = 1 and pjo = 1, all j. From this 

 PokH) = QkiDRka) = ^;fc(l) = k\ 

 On the other hand, for a = 0, gyt = 0, j > and, by (19) 



^0^^(0)^.(0) = go..-i(0)/^.-i(0) 

 so that 



R,{0) = Rk-i{0) = RM = 1 



5. MELLOR APPROXIMATION 



It is useful to have the moments of the distribution corresponding to 

 the Mellpr approximation, since they serve as a guide. Here, following 

 equation (4) 



Fiu) = (1 - a) D a"e 



n -«(n+l)-l 



(20) 



