Question: A. Consider a system with two servers in parallel who serve customers from a single line. Customers are served in a First-Come First-Served fashion. If

A. Consider a system with two servers in parallel

A. Consider a system with two servers in parallel who serve customers from a single line. Customers are served in a First-Come First-Served fashion. If both servers are available, customers always go to server 1 first. Given the inter-arrival times and service time for the following five customers, complete the tables below. Customer # 2 3 4 Inter-arrival time (min) Service Time (min) 5.82 3.35 5.26 1.65 3.02 3.52 5.51 2.27 2.05 5 Entity Time of arrival (arrival time) (minutes) Wait time (minutes) Service time (minutes) Time of Departure (minutes) Total time in the system (minutes) 1 0.00 N 3 4 5 System State Clock Future Event List Comments Cumulative Statistics Servers 1 and 2 (B1 and B2 respectively) Busy Time B1 B2 LQ(t) LS(t) 0.00 B. From the hand simulation you just did, calculate the following metrics: 1. Proportion of server busy time for each teller (also known as utilization) 2. Average time a customer spends in the system 3. Average waiting time for a customer 4. Average wait time of those who wait 5. Probability a customer has to wait A. Consider a system with two servers in parallel who serve customers from a single line. Customers are served in a First-Come First-Served fashion. If both servers are available, customers always go to server 1 first. Given the inter-arrival times and service time for the following five customers, complete the tables below. Customer # 2 3 4 Inter-arrival time (min) Service Time (min) 5.82 3.35 5.26 1.65 3.02 3.52 5.51 2.27 2.05 5 Entity Time of arrival (arrival time) (minutes) Wait time (minutes) Service time (minutes) Time of Departure (minutes) Total time in the system (minutes) 1 0.00 N 3 4 5 System State Clock Future Event List Comments Cumulative Statistics Servers 1 and 2 (B1 and B2 respectively) Busy Time B1 B2 LQ(t) LS(t) 0.00 B. From the hand simulation you just did, calculate the following metrics: 1. Proportion of server busy time for each teller (also known as utilization) 2. Average time a customer spends in the system 3. Average waiting time for a customer 4. Average wait time of those who wait 5. Probability a customer has to wait

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related General Management Questions!

. Consider a system with two servers in parallel who serve customers from a single line Customers are served in a First-Come First-Served fashion. If both servers are available, customers always go...

A. Consider the queueing system for the walk-in services of a post office. The average time between two consecutive arrivals is 2 minutes. Customers join a single line and get served by 1 of 4...

14. Consider the queuing system for the walk-in services of a post office. The average time between two consecutive arrivals is 3 minutes. Customers join a single queue and get served by one of 2...

Lambeth National Credit Union has been rapidly expanding their operations in the Triad area of North Carolina. They opened 3 new branches within the last 2 years ( one each in High Point, Greensboro,...

A Credit Union has been rapidly expanding their operations in the New York. They opened 3 new branches within the last 2 years ( one each in Brooklyn, Queens, and Manhattan ) and are preparing to...

Yankees National Credit Union has been rapidly expanding their operations in the New York State. They opened 3 new branches within the last 2 years ( one each in Piedmont NY , and Buffalo NY ) and...

CASE STUDY: Waiting Lines (Queuing) For this assignment, you will analyze a case study and prepare a short executive report (plus appendices) that discusses the conditions of the case and your...

Sesame Company purchased a computer system for $74,000 on January 1, 2009. It was depreciated based on a 7-year life and an $18,000 salvage value . On January 1, 2011, Sesame revised these estimates...

You MUST show your work/reasoning and circle your final answer. A family of South Africans, a family of Canadians, a family of Filipinos, and a family of Mexicans live in four houses on the same...

Aardvark Enterprises has agreed to be acquired by Lawson Products in exchange for $ 3 , 6 9 0 worth of Lawson Products stock. Lawson has 2 6 7 shares of stock outstanding at a price of $ 2 7 a share....

As the manager of Smith Construction, you need to make a decision on the number of homes to build in a new residential area where you are the only builder. Unfortunately, you must build the homes...