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THE BELL SYSTEM TECHNICAL JOURNAL, MARCH 1953 



A comparison of the proportion of traffic expected to suffer delays 

 beyond various multiples of the average holding time as given by Rior- 

 dan's theory for delayed calls served in random order, and by the throw- 

 down results, is given in Figs. 1 and 2. As discussed below, the cases 

 studied are considered to give satisfactory assurance as to the adequacy 

 of the approximations involved in the theory. 



The two trunk case based on 3000 calls submitted shows fairly good 

 agreement with the theoretical distribution out to delays as large as 50 

 multiples of an average holding time which includes more than 99.5 



Oi 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5 

 t/h = DELAY IN MULTIPLES OF AVERAGE HOLDING 



5.5 

 TIME 



6.0 



Fig. 2 — Distribution of delays. Theory versus throwdown, delayed calls han- 

 dled at random, c = 10 paths, a = 0.80, 1500 throwdown calls. 



