Exam 24: Waiting-Line Models

A dental clinic at which only one dentist works is open only two days a week.During those two days,the traffic arrivals follow a Poisson distribution with patients arriving at the rate of three per hour.The doctor serves patients at the rate of one every 15 minutes. a.What is the probability that the clinic is empty (except for the dentist)? b.What is the probability that there are one or more patients in the system? c.What is the probability that there are four patients in the system? d.What is the probability that there are four or more patients in the system?

A waiting line,or queuing,system has three parts,which are

Which of the following is most likely to be served in a last-in,first-served (LIFS)queue discipline?

A concert hall,employing both ticket takers and ushers to seat patrons,behaves typically as a

Students arrive randomly at the help desk of the computer lab.There is only one service agent,and the time required for inquiry varies from student to student.Arrival rates have been found to follow the Poisson distribution,and the service times follow the negative exponential distribution.The average arrival rate is 12 students per hour,and the average service rate is 20 students per hour.What is the average service time for this problem?

A college registrar's office requires you to first visit with one of three advisors and then with one of two financial professionals.This system is best described as

Which one of the following is not a characteristic of a Model C or M/D/1 system?

If the service time within a queuing system is constant,the service rate can be easily described by a negative exponential distribution.

In queuing problems,arrival rates are generally described by the normal probability distribution.

Which part of a waiting line has characteristics that involve statistical distribution?

A queuing model which follows the M/M/1 assumptions has λ = 2 and μ = 8.The average number in the system Ls is ________ and the utilization of the system is ________.

The ________ of a waiting line and the probability that the queue is empty add to one.

Suppose that a fast food restaurant wants the average line to be 4 customers and that 80 customers arrive each hours.How many minutes will the average customer be forced to wait in line?

Which of the following is a requirement for application of Little's Law to be valid?

In the basic queuing model (M/M/1),service times are described by

Suppose that 1 customer arrives each minute in a Poisson distribution.Is it more likely that 2 customers or 0 customers will arrive each minute?

The study of waiting lines calculates the cost of providing good service but does not value the cost of customers' waiting time.

A finite population waiting line model with a single server has an average service time T of 200 minutes and an average time between service requirements U of 300 minutes.Calculate the service factor X.If the population consists of 5 elements,what are the average number waiting,the average number being serviced,and the average number running? Refer to Table D.8 in the text.

Suppose that a service facility has an average line of 2 customers that must wait,on average,5 minutes for service.How many customers are arriving per hour?

Which of the following is not a measure of a queue's performance?