Question: Problem 3 (25 pts): Consider a small car service station with a full-time server and a manager. Arriving cars have exponentially distributed interarrival times with

Problem 3 (25 pts): Consider a small car service

Problem 3 (25 pts): Consider a small car service station with a full-time server and a manager. Arriving cars have exponentially distributed interarrival times with an expected interarrival time of one sixth of an hour. The service time is also exponentially distributed with a mean service time of 5 minutes. However, if the server is busy and there are cars waiting for service, the manager inside comes out and helps service the cars. The service time of the manager is exponentially distributed with a mean service time of 8 minutes. Model the system by modifying the queue switching model we have discussed (the queue switching model is attached). Run the simulation for 10,000 hours. Answer the following questions: Create 02 Scan Entity Scan Q2 for Switch Remove from 02 Record 02 Switch Delay 30 seconds at 02 Seize Server 1 Delay for Server 1 Process Release Server Create Customers Pick Dispose 1 Seize Server 2 Delay for Server 2 Process -Release Server 2 Create Q1 Scan Entity Scan Q1 for Switch - Remove from Q1 R ecord Q1 Switch Delay 30 seconds at 01 a) What is the average time for customers waiting for and receiving service? b) What is the longest waiting time in the queue? c) What is the utilization for the manager? d) What is the utilization for the server? Problem 3 (25 pts): Consider a small car service station with a full-time server and a manager. Arriving cars have exponentially distributed interarrival times with an expected interarrival time of one sixth of an hour. The service time is also exponentially distributed with a mean service time of 5 minutes. However, if the server is busy and there are cars waiting for service, the manager inside comes out and helps service the cars. The service time of the manager is exponentially distributed with a mean service time of 8 minutes. Model the system by modifying the queue switching model we have discussed (the queue switching model is attached). Run the simulation for 10,000 hours. Answer the following questions: Create 02 Scan Entity Scan Q2 for Switch Remove from 02 Record 02 Switch Delay 30 seconds at 02 Seize Server 1 Delay for Server 1 Process Release Server Create Customers Pick Dispose 1 Seize Server 2 Delay for Server 2 Process -Release Server 2 Create Q1 Scan Entity Scan Q1 for Switch - Remove from Q1 R ecord Q1 Switch Delay 30 seconds at 01 a) What is the average time for customers waiting for and receiving service? b) What is the longest waiting time in the queue? c) What is the utilization for the manager? d) What is the utilization for the server

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