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. Do not round intermediate calculations. Lq = L = Wq = W = Pw= b. Service goals dictate that an arriving customer should not wait for service more than an average of 6 minutes. Is this goal being met? If not, what action do you recommend? P = Yes C. No. Firm should decrease the mean service rate u for the consultant. No. Firm should increase the mean service rate u for the consultant or hire a second consultant, minutes P = minutes Wq = c. If the consultant can reduce the average time spent per customer to 9 minutes, what is the mean service rate? Round your answer to four decimal places. Do not round intermediate calculations. Yes No customers per hour customers per hour minutes Will the service goal be met? an service rate? Round your answer to four decimal places. Do

MATLAB: An Introduction with Applications
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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. Do not round intermediate calculations.
La =
L =
Wq =
W =
Pw=
b. Service goals dictate that an arriving customer should not wait for service more than an average of 6 minutes. Is this goal being met? If not, what action do
you recommend?
P =
Yes
C.
No. Firm should decrease the mean service rate u for the consultant.
No. Firm should increase the mean service rate u for the consultant or hire a second consultant,
minutes
H =
minutes
Wq =
c. If the consultant can reduce the average time spent per customer to 9 minutes, what is the mean service rate? Round your answer to four decimal places. Do
not round intermediate calculations.
Yes
No
customers per hour
customers per hour
minutes
Will the service goal be met?
an service rate? Round your answer to four decimal places. Do
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. Do not round intermediate calculations. La = L = Wq = W = Pw= b. Service goals dictate that an arriving customer should not wait for service more than an average of 6 minutes. Is this goal being met? If not, what action do you recommend? P = Yes C. No. Firm should decrease the mean service rate u for the consultant. No. Firm should increase the mean service rate u for the consultant or hire a second consultant, minutes H = minutes Wq = c. If the consultant can reduce the average time spent per customer to 9 minutes, what is the mean service rate? Round your answer to four decimal places. Do not round intermediate calculations. Yes No customers per hour customers per hour minutes Will the service goal be met? an service rate? Round your answer to four decimal places. Do
|
All airplane passengers at the Lake City Regional Airport must pass through a security screening area before proceeding
to the boarding area. The airport has three screening stations available, and the facility manager must decide how
many to have open at any particular time. The service rate for processing passengers at each screening station is 3.5
passengers per minute. On Monday morning the arrival rate is 4.9 passengers per minute. Assume that processing
times at each screening station follow an exponential distribution and that arrivals follow a Poisson distribution.
Note: Use Po values from Table 11.4 to answer the questions below.
a. Suppose two of the three screening stations are open on Monday morning. Compute the operating characteristics for
the screening facility.
Round your answer to four decimal places.
Po =
Round your answers to two decimal places.
Lg =
L =
Wq =
W =
min
min
Round your answer to four decimal places.
Pw=
)
b. Because of space considerations, the facility manager's goal is to limit the average number of passengers waiting in
line to 10 or fewer. Will the two-screening-station system be able to meet the manager's goal?
c. What is the average time required for a passenger to pass through security screening? Round your answer to two
decimal places.
min
Transcribed Image Text:| All airplane passengers at the Lake City Regional Airport must pass through a security screening area before proceeding to the boarding area. The airport has three screening stations available, and the facility manager must decide how many to have open at any particular time. The service rate for processing passengers at each screening station is 3.5 passengers per minute. On Monday morning the arrival rate is 4.9 passengers per minute. Assume that processing times at each screening station follow an exponential distribution and that arrivals follow a Poisson distribution. Note: Use Po values from Table 11.4 to answer the questions below. a. Suppose two of the three screening stations are open on Monday morning. Compute the operating characteristics for the screening facility. Round your answer to four decimal places. Po = Round your answers to two decimal places. Lg = L = Wq = W = min min Round your answer to four decimal places. Pw= ) b. Because of space considerations, the facility manager's goal is to limit the average number of passengers waiting in line to 10 or fewer. Will the two-screening-station system be able to meet the manager's goal? c. What is the average time required for a passenger to pass through security screening? Round your answer to two decimal places. min
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