Question

Problem 11-11 (Algorithmic)

Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.9 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.

1. 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.
   
   L_q = fill in the blank 1
   
   L = fill in the blank 2
   
   W_q = fill in the blank 3 minutes
   
   W = fill in the blank 4 minutes
   
   P_w = fill in the blank 5
   
2. Service goals dictate that an arriving customer should not wait for service more than an average of 9 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.
   
3. 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.
   
   µ = fill in the blank 7 customers per hour
   
   W_q = fill in the blank 8 minutes
   
   Will the service goal be met?
   
   Yes

Answer 1

Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.9 customers arrive each hour.

consultant averages 12 minutes.

a,b and c answers as follows

Yes the service goal will met as the Wq is greater than average waiting spends per hours of customers.