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# hwk7 - Homework 7 1 Telephone calls arrive at a customer...

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Homework 7 1. Telephone calls arrive at a customer service desk according to a Poisson process with mean rate 4 per hour. Assume that there is a single clerk answering all calls and it takes on average 12 minutes to answer a call with a standard deviation of 12 minutes. If the phone is in use, assume that callers will wait for their turn and not abandon the system. Simulate this system (either using ARENA or by editing the MATLAB code developed in class) assuming call answering times are exponentially distributed. Use a warm-up (or initialization) period of 1 hour and run the simulation for 8 more hours. Then answer the following questions: a. Make 10 replications to determine a 99% confidence interval for the average time each call spends in the system. b. For one replication, obtain eight samples of the total time in the system so that each sample is taken during a period of 1 hour. Using batch means, obtain a 99% confidence interval for the average time each call spends in the system.

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hwk7 - Homework 7 1 Telephone calls arrive at a customer...

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