Question: In section 8.1.4, equation 8.9 is: u=Ipc where u is utilization, I p is number of customer in service and c is the number of

In section 8.1.4, equation 8.9 is: u=Ipc where u is utilization, I_p is number of customer in service and c is the number of servers. The best explanation for why this formula is a measure of utilization in services is:

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It is a direcct count of the number of servers that are busy.

Given that it is not a batch service (i.e., one server is serving only one customer at a time), then it is the proportion of busy servers to the total number of servers

It does not consider T_p, the unit load of the server. It only considers the number of servers, c, in the system.

This formula makes it clear that the process can be made stable by reducing the process capacity utilization.

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