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Mathematics for Modeling

 

T = Observation Time
B = Busy Time
C = Completions
 
With these 3 independent variables you can calculate the six different dependent variables of the basic model. 
 
CPU utilization U=B/T
transaction throughput X=C/T
avg resource service time S= B/C
transaction capacity of the system Cp= 1/S
avg resource queue length Q= U/(1-U)
avg resource response time R = (Q*S) + S
 
Example:
 
T= 43 seconds
C= 96
B= 31 seconds
 
U= 31/43 = 72.09% utilization
X=96/43= 2.23 tps

 

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