Performance operational analysis

In performance engineering, operational analysis is a set of basic quantitative relationships between performance quantities. Basically the Operational Analysis is based on operational laws, e.g. , Service Demand Law, The Forced Flow Law, Little's Law and Interactive Response Time Law and is used to predict the response time, throughput, availability, reliability, security, scalability and extensibility.
Simple example: utilization law for a single server system
Following Denning, consider a single server queuing system. It has a stream of arriving requests, which first go into a queue and then into a server --- eventually completing. This system has four basic quantities that can be observed in a finite period:
* T - the length of the period
* A - the number of arrivals occurring during the period
* B - the total amount of time during which the server is busy during the period
* C - the number of completions during the period
From those we can derive some more quantities:
* lambda = A/T - the arrival rate
* X = C/T - the output rate
* U = B/T - the utilization
* S = B/C - the mean service time
The utilization law is U = XS. This is established by nothing more than algebra.
There is a corresponding law in more general settings.

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