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Scaling for E-Business by Virgilio A. F. Almeida, Daniel A. Menascé

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8.6. Performance Laws

The relationships presented in this section are very simple and general, and they are known as operational results [7]. To understand the validity of these results, we do not need to resort to any complex mathematical formulation. Consider first the system of Fig. 8.11, which may be composed of a number of resources. Consider that the system was observed during T seconds and the counters registered the following measurements: i) the system was busy during B0 seconds, ii) the number of arrivals of requests was A0, and iii) the number of completed requests was C0. From these simple measurement data, we can derive a series of other measurements, such as arrival rate, completion rate, utilization, and mean service time. The ...

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