Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.7 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 four decimal places. Report time in hours.) ta L= W = W = P = Enter a number (b) Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. this goal being met? (Round your answer to one decimal place.) W (in minutes) = than the desired wait time, so the goal-Select-- met. min, which is-Select- What action do you recommend? (Select all that apply.) Increase the mean service rate. Hire another consultant. There is no need to change the current operating parameters. Decrease the mean service rate. Increase the hours of operation. (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.) H= Lo= W = h Will the service goal be met? (Round your answer to one decimal place.) W (in minutes) = min, which is-Select- than the desired wait time, so the goal-Select--:met.
Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.7 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 four decimal places. Report time in hours.) ta L= W = W = P = Enter a number (b) Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. this goal being met? (Round your answer to one decimal place.) W (in minutes) = than the desired wait time, so the goal-Select-- met. min, which is-Select- What action do you recommend? (Select all that apply.) Increase the mean service rate. Hire another consultant. There is no need to change the current operating parameters. Decrease the mean service rate. Increase the hours of operation. (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.) H= Lo= W = h Will the service goal be met? (Round your answer to one decimal place.) W (in minutes) = min, which is-Select- than the desired wait time, so the goal-Select--:met.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 9P
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Transcribed Image Text:Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.7 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 =
μ =
q
L =
W
q
W =
P..
W
=
(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.)
Wq (in minutes) =
min, which is ---Select--- than the desired wait time, so the goal ---Select--- + met.
What action do you recommend? (Select all that apply.)
Increase the mean service rate.
-a
W
Enter a number.
Hire another consultant.
0 There is no need to change the current operating parameters.
Decrease the mean service rate.
Increase the hours of operation.
(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.)
μl =
q
h
h
=
=
h
Will the service goal be met? (Round your answer to one decimal place.)
W (in minutes)
q
min, which is ---Select-- than the desired wait time, so the goal ---Select--- met.
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