Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.3 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 = Lg= L = Wa W = Pw= h h (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) = 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. Decrease the mean service rate. Hire another consultant. There is no need to change the current operating parameters. Increase the hours of operation. (c) If the consultant can reduce the average time spent per customer to 8 minutes, what is the mean service rate? (Round your answers to four decimal places. Report time in hours.) Lg= W₁ = 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 2.3 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 = Lg= L = Wa W = Pw= h h (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) = 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. Decrease the mean service rate. Hire another consultant. There is no need to change the current operating parameters. Increase the hours of operation. (c) If the consultant can reduce the average time spent per customer to 8 minutes, what is the mean service rate? (Round your answers to four decimal places. Report time in hours.) Lg= W₁ = 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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 2.3 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 =
Н
W
q
L =
W
=
q
W =
=
La
W
=
q
(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.)
min, which is ---Select--- than the desired wait time, so the goal |---Select--- ✓ met.
Wq (in minutes)
What action do you recommend? (Select all that apply.)
Increase the mean service rate.
Decrease the mean service rate.
||
(c) If the consultant can reduce the average time spent per customer to 8 minutes, what is the mean service rate? (Round your answers to four decimal places. Report time in hours.)
μ =
=
h
h
Hire another consultant.
There is no need to change the current operating parameters.
Increase the hours of operation.
=
=
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.
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