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, 9.0 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.

a. What average number in line can be expected? (Round your answer to 3 decimal places.)

Average number expected              people

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

Average number of persons             persons

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

Average amount of time             hours

d. 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.)

Time taken              hours

Explanation / Answer

Solution : Given that arrival rate ?=9 , service rate ?=60/6=10

a)Lq=?2/?(?-?) = 92/10(10-9) = 8.1 persons can be expected

b)Ls =?/(?-?) =9/(10-9) = 9 persons

C)Wq =Lq/? =8.1/9 =0.9 hour

d)Ws=Ls/? =9/9 = 1

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.