Problem 15-11 (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.   Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. If required, round your answers to four decimal places. Lq = fill in the blank 1       L = fill in the blank 2       Wq = fill in the blank 3 hours       W = fill in the blank 4 hours       Pw = fill in the blank 5 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?   If the consultant can reduce the average time spent per customer to 9 minutes, what is the mean service rate? If required, round your answer to one decimal place.fill in the blank 7 customer per hourWill the service goal be met?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 15-11 (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. If required, round your answers to four decimal places.
  1. Lq = fill in the blank 1
       
      L = fill in the blank 2
       
      Wq = fill in the blank 3 hours
       
      W = fill in the blank 4 hours
       
      Pw = 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?

     


  3. If the consultant can reduce the average time spent per customer to 9 minutes, what is the mean service rate? If required, round your answer to one decimal place.

    fill in the blank 7 customer per hour

    Will the service goal be met?

     
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