In: Statistics and Probability
Problem 11-11 (Algorithmic)
Agan Interior Design provides home and office decorating
assistance to its customers. In...
Problem 11-11 (Algorithmic)
Agan Interior Design provides home and office decorating
assistance to its customers. In normal operation, an average of 2.4
customers arrive each hour. One design consultant is available to
answer customer questions and make product recommendations. The
consultant averages 12 minutes with each customer.
- 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 = __minutes
W = __ minutes
Pw = __
- Service goals dictate that an arriving customer should not wait
for service more than an average of 4 minutes. Is this goal being
met? If not, what action do you recommend?
No. Firm should increase the mean service rate u for the consultant
or hire a second consultant.
- If the consultant can reduce the average time spent per
customer to 8 minutes, what is the mean service rate? Round your
answer to four decimal places. Do not round intermediate
calculations.
µ = __ customers per hour
Wq = __ minutes
Will the service goal be met?
Yes