T the length of time we observed the system
A the number of request arrivals we observed
C the number of request completions we observed
Workload intensity/arrival rate Lamda the rate at which the customers arrive (eg 0.5 customers/second) Lamda = A/T
Throughput X the rate at which customers pass through the service center (0.5 customers/second) X = C/T
N the average number of requests in the system (customer population) N = W/T
Residence time R the average time spent at the service center by a customer, both queueing and receiving service R=W/C
Queue length the average number of customers at the service center both waiting and receiving service (1.67 customers)
B the length of time that the resource was obeserved to be busy
Utilization U the proportion of time the server is busy (eg 0.625/62.5%) U = B/T
S the average service requirement of a customer (eg 1.25 seconds) S = B/C
Z think time of a terminal user
Dk Service demand at resource k Dk=VkSk
BASIC LAWS
The Utilization Law U=X*S
Little’s Law N=X*R
The Response Time Law R=N/X-Z
The Forced Flow Law Xi=Vi*X
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