Exam 25: Waiting-Line Models

A copy center has five machines that serve many customers throughout the day.The waiting-line system for copy service has an infinite population,while the waiting-line system for copier maintenance has a finite population

A system in which the customer receives service from only one station and then exits the system is which of the following?

Arrivals or inputs to a waiting-line system have characteristics that include:

A hospital emergency room always follows a FIFO queue discipline in the interest of fairness.

Which of the following represents an unlimited queue?

A waiting-line system that meets the assumptions of M/M/S has λ = 5,μ = 4,and M = 2.For these values,P_o is approximately 0.23077,and L_s is approximately 2.05128.What is the average time a unit spends in this system?

A queuing model that follows the M/M/1 assumptions has λ = 2 and μ = 3.What is the average number of units in the system?

A waiting line or ________ is where items or people are in a line awaiting service;________ is a body of knowledge about waiting lines.

A(n)________ occurs when an arrival refuses to enter a waiting line;a(n)________ occurs when an arrival joins a waiting line,then leaves it before being served.

The potential restaurant customer who says to her husband,"The line looks too long;let's eat somewhere else," is an illustration of which element of arrival behavior?

A dental clinic at which only one dentist works is open only two days a week.During those two days,patients arrive 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 and staff)? b.What percentage of the time is the dentist busy? c.What is the average number of patients in the waiting room? d.What is the average time a patient spends in the office (wait plus service)? e.What is the average time a patient waits for service?

A waiting line has a(n)________ population if,as arrivals take place,the likelihood of additional arrivals is decreased.

A waiting-line system that meets the assumptions of M/M/1 has λ = 1,μ= 4.Calculate P_o.Build a table showing the probability of more than 0,1,2,3,4,5,6,and 7 units in the system.Round to six decimal places in your work

What are the components in a waiting-line system?

Which of the following occurs as the level of service decreases?

An M/M/1 model and an M/D/1 model each have an arrival rate of 1 per minute and a service rate of 3 per minute;the average queue length of the M/M/1 will be twice that of the M/D/1.

A waiting-line system that meets the assumptions of M/M/1 has λ = 1,μ = 4.For this system,what is the probability of more than two units in the system?

What costs are present in waiting line analysis? How do these costs vary with the level of service?

A waiting line model meeting the assumptions of M/M/1 has an arrival rate of 2 per hour and a service rate of 6 per hour.What is the utilization factor for the system?