Question

Problem 7-18 (Algo)

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, 6.0 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 the FCFS discipline.

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

b. What average number of persons can be expected to be in the system? (Do not round your intermediate calculations. Round your answer to 3 decimal places.)

c. What is the average amount of time that a person can expect to spend in line? (Do not round your intermediate calculations. Round your answer to 4 decimal places.)

d. On average, how much time will it take to measure a person’s blood pressure, including their waiting time? (Do not round your intermediate calculations. Round your answer to 4 decimal places.)

Answer 1

The assumptions in single-server queue theory include: -

Unlimited calling population may enter the queue

Arrivals occur randomly and are not dependent but average number of arrival does not change.

Single waiting line and arriving customers are patient customers who can wait in the queue before they can be served regardless of the length of the line.

Arrivals are serviced on a first come first served basis

Service time of one customer may vary from that of another customer.