To support National Heart Week, the Heart Association plans to install a free bl

Question

To support National Heart Week, the Heart Association plans to install a free blood pressure testing booth in El Con Mall for the week. Previous experience indicates that, on average, 9 persons per hour request a test. Assume arrivals are Poisson distributed from an infinite population. Blood pressure measurements can be made at a constant time of six minutes each. Assume the queue length can be infinite with FCFS discipline.

What average number of persons can be expected to be in the system? (Round your answer to 3 decimal places.)

What is the average amount of time that a person can expect to spend in line? (Round your answer to 4 decimal places.)

On the average, how much time will it take to measure a person's blood pressure, including waiting time? (Round your answer to 4 decimal places.)

To support National Heart Week, the Heart Association plans to install a free blood pressure testing booth in El Con Mall for the week. Previous experience indicates that, on average, 9 persons per hour request a test. Assume arrivals are Poisson distributed from an infinite population. Blood pressure measurements can be made at a constant time of six minutes each. Assume the queue length can be infinite with FCFS discipline.

Explanation / Answer

Ans:

arrival rate =9 ,

service rate =60/5=12

a)Lq=2/(-) =92/12(12-9)=2.252 persons can be expected

b)Ls =/(-) =9/(12-9) =3 persons

C)Wq =Lq/ =2.25/9 =0.25 hour or 15 minutes

d)Ws=Ls/ =3/9 =(1/3)hour or 20 minutes

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