In the single-line, multiserver, single-phase model, customers form a single line and are served by the first server available. The model assumes that there are *s* identical servers, the service time distribution for each server is exponential, and the mean service time is 1/μ. Using these assumptions, we can describe the operating characteristics with the following formulas:

*s* = the number of servers in the system

*p* = the average utilization of the system

*P*_{0} = = the probability that no customers are in the system

*L*_{Q} = = the average number of customers waiting in line

*W*_{Q} = = the average time spent waiting in line

*W* = *W*_{Q} = the average time spent in the system, including service

*L* = λ*W* = the average number of customers in the service system

*Note*: The total service rate must be greater than the arrival rate, that is, *sμ* > λ. If *sμ* ≤ λ, the waiting line would ...

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