Question: Queuing Problem: Customers arrive to a service facility on average 30 minutes apart (exponentially distributed time between arrivals) The average service time is 27 minutes

Queuing Problem: Customers arrive to a service

Queuing Problem: Customers arrive to a service

Queuing Problem: Customers arrive to a service

Queuing Problem: Customers arrive to a service

Queuing Problem: Customers arrive to a service facility on average 30 minutes apart (exponentially distributed time between arrivals) The average service time is 27 minutes per customer (exponentially distributed service times) The Queuing Problem tab of the Exam 3 Question Parameters workbook contains information regarding a customer queuing situation. Use this information to answer the following two questions. Note: The queuing templates used during Lesson 13 are included in the Exam 3 Question Parameters workbook, on tabs Single Server Model and Multiple Servers Model. You may use these templates if you wish. However, you need to provide the answers as requested in the appropriate locations specified in the questions. For the scenario indicated on the Queuing Problem tab of the Exam 3 Question Parameters workbook, answer the following under the assumption that the facility is staffed with a single (one) server. What is the average server utilization ? What is the average number of customers waiting in line? What is the average number of customers in the system? (Waiting in line + being served) What is the average time in minutes) spent waiting in line? What is the average time in minutes) spent in the system (Walting in line + being served) Continuing from the previous problem, suppose later in the day the customer arrival rate (customers per hour) will be five times as many per hour vs. the original problem. We respond by using five servers instead of just one. Answer the following for this busier time period: What is the average server utilization ? What is the average number of customers waiting in line? What is the average number of customers in the system? (Waiting in line + being served) What is the average time (in minutes) spent waiting in line? What is the average time in minutes) spent in the system (Waiting in line + being served)

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