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Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.2 customers arrive each hour. One design consultant is available to answe customer questions and make product recommendations. The consultant averages 10 minutes with each customer. (a) Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. (Round your answers to four decimal places. Report time in hours.) A = 2.2 H=6 La = L = Wa= 4.3 W 14.3 = Pw= .3667 .1577 .1577 (b) Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is this goal being met? (Round your answer to one decimal place.) Wa (in minutes) = 4.76 X min, which is greater ✓ than the desired wait time, so the goal is not ✓ met. What action do you recommend? (Select all that apply.) Increase the hours of operation. ✔Hire another consultant. La x X xh xh ✓ Decrease the mean service rate. There is no need to change the current operating parameters. Increase the mean service rate. = (c) If the consultant can reduce the average time spent per customer to 7 minutes, what is the mean service rate? (Round your answers to four decimal places. Report time in hours.) μ = X h W₁ = Wa Will the service goal be met? (Round your answer to one decimal place.) W (in minutes) = min, which is less 0 than the desired wait time, so the goal is met.

Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.2 customers arrive each hour. One design consultant is available to answe customer questions and make product recommendations. The consultant averages 10 minutes with each customer. (a) Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. (Round your answers to four decimal places. Report time in hours.) A = 2.2 H=6 La = L = Wa= 4.3 W 14.3 = Pw= .3667 .1577 .1577 (b) Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is this goal being met? (Round your answer to one decimal place.) Wa (in minutes) = 4.76 X min, which is greater ✓ than the desired wait time, so the goal is not ✓ met. What action do you recommend? (Select all that apply.) Increase the hours of operation. ✔Hire another consultant. La x X xh xh ✓ Decrease the mean service rate. There is no need to change the current operating parameters. Increase the mean service rate. = (c) If the consultant can reduce the average time spent per customer to 7 minutes, what is the mean service rate? (Round your answers to four decimal places. Report time in hours.) μ = X h W₁ = Wa Will the service goal be met? (Round your answer to one decimal place.) W (in minutes) = min, which is less 0 than the desired wait time, so the goal is met.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.2 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer. (a) Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. (Round your answers to four decimal places. Report time in hours.) λ = 2.2 μ = 6 = La .1577 L = .1577 W₁ = 4.3 q W = 14.3 P W = .3667 (b) Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is this goal being met? (Round your answer to one decimal place.) W (in minutes) = 4.76 than the desired wait time, so the goal is not min, which is greater What action do you recommend? (Select all that apply.) Increase the hours of operation. Hire another consultant. Xh Xh La W₁ q Decrease the mean service rate. There is no need to change the current operating parameters. Increase the mean service rate. μl = (c) If the consultant can reduce the average time spent per customer to 7 minutes, what is the mean service rate? (Round your answers to four decimal places. Report time in hours.) = X h Will the service goal be met? (Round your answer to one decimal place.) Wa (in minutes) = min, which is less met. than the desired wait time, so the goal is met.
Transcribed Image Text:Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.2 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer. (a) Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. (Round your answers to four decimal places. Report time in hours.) λ = 2.2 μ = 6 = La .1577 L = .1577 W₁ = 4.3 q W = 14.3 P W = .3667 (b) Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is this goal being met? (Round your answer to one decimal place.) W (in minutes) = 4.76 than the desired wait time, so the goal is not min, which is greater What action do you recommend? (Select all that apply.) Increase the hours of operation. Hire another consultant. Xh Xh La W₁ q Decrease the mean service rate. There is no need to change the current operating parameters. Increase the mean service rate. μl = (c) If the consultant can reduce the average time spent per customer to 7 minutes, what is the mean service rate? (Round your answers to four decimal places. Report time in hours.) = X h Will the service goal be met? (Round your answer to one decimal place.) Wa (in minutes) = min, which is less met. than the desired wait time, so the goal is met.
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