9 Consider a bank with 4 tellers. Customers arrive at anexponential rate of 60 per hour. A customer goes directly into service if a teller is idle. Otherwise, the arrival joins a waiting line. There is only one waiting line for all the tellers.

If an arrival finds the line too long, he or she may decide to leave immediately (reneging). The probability of a customer reneging is shown in Table 26. If a customer joins the waiting line, we assume that he or she will stay in the system until served. Each teller serves at the same service rate. Service times are uniformly distributed over the range [3, 5].

Develop a simulation model to find the following measures of performance for this system: (1) the expected time a customer spends in the system, (2) the percentage of customers who renege, and (3) the percentage of idle time for each teller.

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TABLE 26 Length of Queue (q) Probability of Reneging 698 .20 9 q 10 .40 11 q 14 914 .60 .80