15-30 An airport terminal services three types of customers: those arriving from rural areas, those

arriving from suburban areas, and the transit customers who are changing planes at the

airport. The arrivals distribution for each of the three groups is assumed Poisson with mean

arrival rates 10, 5, and 7 per hour, respectively. Assuming that all customers require the

same type of service at the terminal and that the service time is exponential with mean rate

10 per hour, how many counters should be provided at the terminal under each of the

following conditions?

a) The expected waiting time in the system per customer does not exceed 15 minutes.

b) The expected number of customers in the system is at most 10.

c) The probability that all counters are idle does not exceed .11.

EX9 (M/M/C=1/K):

d) Derive the formula of the effective arrival rate. Calculate this problem's effective arrival rate.

e) Derive the formula of the server utilization. Calculate this problem's server utilization./nd) Derive the formula of the effective arrival rate. Calculate this problem's effective arrival rate.

e) Derive the formula of the server utilization. Calculate this problem's server utilization.