The Robotics Manufacturing Company operates an equipment repair business where emergency jobs arrive randomly at the rate of three jobs per 8-hour day. The company's repair facility is a single-server system operated by a repair technician. The service time varies, with a mean repair time of 2.2 hours and a standard deviation of 1.4 hours. The company's cost of the repair operation is $29 per hour. In the economic analysis of the waiting line system, Robotics uses $37 per hour cost for customers waiting during the repair process. b. Show the operating characteristics. (Round your answers to four decimal places. Report time in hours.) Lq= L= Wq= h W= h Show the total cost per hour. (Express the total cost per hour in dollars. Round your answer to the nearest cent.) TC = $ c. The company is considering purchasing a computer-based equipment repair system that would enable a constant repair time of 2.2 hours. For practical purposes, the standard deviation is 0. Because of the computer-based system, the company's cost of the new operation would be $34 per hour. What effect will the new system have on the waiting line characteristics of the repair service? (Round your answers to four decimal places. Report time in hours.) Wq= h W= Show the total cost per hour. (Express the total cost per hour in dollars. Round your answer to the nearest cent.) TC = $ d. Does paying for the computer-based system to reduce the variation in service time make economic sense? The firm's director of operations rejected the request for the new system because the hourly cost is $5 higher and the mean repair time is the same. Do you agree? How much (in dollars) will the new system save the company during a 40-hour work week? (Round your answer to the nearest cent. Enter 0 if there are no savings.) The average savings over a 40-hour work week amount to $
The Robotics Manufacturing Company operates an equipment repair business where emergency jobs arrive randomly at the rate of three jobs per 8-hour day. The company's repair facility is a single-server system operated by a repair technician. The service time varies, with a mean repair time of 2.2 hours and a standard deviation of 1.4 hours. The company's cost of the repair operation is $29 per hour. In the economic analysis of the waiting line system, Robotics uses $37 per hour cost for customers waiting during the repair process. b. Show the operating characteristics. (Round your answers to four decimal places. Report time in hours.) Lq= L= Wq= h W= h Show the total cost per hour. (Express the total cost per hour in dollars. Round your answer to the nearest cent.) TC = $ c. The company is considering purchasing a computer-based equipment repair system that would enable a constant repair time of 2.2 hours. For practical purposes, the standard deviation is 0. Because of the computer-based system, the company's cost of the new operation would be $34 per hour. What effect will the new system have on the waiting line characteristics of the repair service? (Round your answers to four decimal places. Report time in hours.) Wq= h W= Show the total cost per hour. (Express the total cost per hour in dollars. Round your answer to the nearest cent.) TC = $ d. Does paying for the computer-based system to reduce the variation in service time make economic sense? The firm's director of operations rejected the request for the new system because the hourly cost is $5 higher and the mean repair time is the same. Do you agree? How much (in dollars) will the new system save the company during a 40-hour work week? (Round your answer to the nearest cent. Enter 0 if there are no savings.) The average savings over a 40-hour work week amount to $
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.4: Important Queueing Relationships
Problem 6P
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The Robotics Manufacturing Company operates an equipment repair business where emergency jobs arrive randomly at the rate of three jobs per 8-hour day. The company's repair facility is a single-server system operated by a repair technician. The service time varies, with a mean repair time of 2.2 hours and a standard deviation of 1.4 hours. The company's cost of the repair operation is $29 per hour. In the economic analysis of the waiting line system, Robotics uses $37 per hour cost for customers waiting during the repair process.
b.
Show the operating characteristics. (Round your answers to four decimal places. Report time in hours.)
Lq=
L=
Wq= h
W= h
Show the total cost per hour. (Express the total cost per hour in dollars. Round your answer to the nearest cent.)
TC = $
c. The company is considering purchasing a computer-based equipment repair system that would enable a constant repair time of 2.2 hours. For practical purposes, the standard deviation is 0. Because of the computer-based system, the company's cost of the new operation would be $34 per hour. What effect will the new system have on the waiting line characteristics of the repair service? (Round your answers to four decimal places. Report time in hours.)
Wq= h
W=
Show the total cost per hour. (Express the total cost per hour in dollars. Round your answer to the nearest cent.)
TC = $
d. Does paying for the computer-based system to reduce the variation in service time make economic sense? The firm's director of operations rejected the request for the new system because the hourly cost is $5 higher and the mean repair time is the same. Do you agree? How much (in dollars) will the new system save the company during a 40-hour work week? (Round your answer to the nearest cent. Enter 0 if there are no savings.)
The average savings over a 40-hour work week amount to $
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