Question 1

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

Accepted Answer

A) a single-phase system 
B) a single-channel system 
C) a multiple channel system 
D) a multiphase system 
E) a limited-access system 
A) a single-phase system 
B) a single-channel system 
C) a multiple channel system 
D) a multiphase system 
E) a limited-access system

Question 2

The two characteristics of the waiting line itself are whether its length is limited or unlimited and the discipline of the people or items in it.

Accepted Answer

A) True 
 B)False

Question 3

In the analysis of queuing models,the Poisson distribution often describes arrival rates,while service times are often described by the negative exponential distribution.

Accepted Answer

A) True 
 B)False

Question 4

Little's Law is not applicable in which of the following situations?

Accepted Answer

A) the opening of a toy store on Black Friday morning 
B) a 24-hour supermarket 
C) a gas station with 24-hour self-service pumps 
D) B and C 
E) It is applicable to A,B,and C. 
A) the opening of a toy store on Black Friday morning 
B) a 24-hour supermarket 
C) a gas station with 24-hour self-service pumps 
D) B and C 
E) It is applicable to A,B,and C.

Question 5

Which of the following represents a customer that reneged due to the waiting line?

Accepted Answer

A) A husband and wife decide to eat out instead after seeing the movie ticket line. 
B) A car drives past the first fast-food restaurant on Hamburger Row because the drive-through was full. 
C) A Black Friday shopper skipped one store because the line went around the building. 
D) A student ordered pizza online because the phone line was busy. 
E) A customer at a gas station went inside to buy a soda,but after waiting in line for a minute left the soda behind and went outside empty-handed. 
A) A husband and wife decide to eat out instead after seeing the movie ticket line. 
B) A car drives past the first fast-food restaurant on Hamburger Row because the drive-through was full. 
C) A Black Friday shopper skipped one store because the line went around the building. 
D) A student ordered pizza online because the phone line was busy. 
E) A customer at a gas station went inside to buy a soda,but after waiting in line for a minute left the soda behind and went outside empty-handed.

Question 6

The shopper who says to himself,"I've waited too long in this line.I don't really need to buy this product today," and leaves the store is an illustration of which element of arrival behavior?

Accepted Answer

A) random arrival 
B) renege 
C) random departure 
D) balk 
E) frustration 
A) random arrival 
B) renege 
C) random departure 
D) balk 
E) frustration

Question 7

Describe the difference between FIFO and LIFO queue disciplines.

Accepted Answer

FIFO (first-in,first-out)serves first th

Question 8

A finite population waiting line model with N = 5 has 5 arrivals per hour.Twenty customers can be served per hour.The probability the system is empty is:

Accepted Answer

A) 1.0 
B) 0.0 
C) 0.40 
D) 0.02 
E) 0.20 
A) 1.0 
B) 0.0 
C) 0.40 
D) 0.02 
E) 0.20

Question 9

A finite population waiting line model is also called M/M/1 with finite source.

Accepted Answer

A) True 
 B)False

Question 10

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?

Accepted Answer

Use Little's Law that 2 custom

Question 11

Which one of the following is NOT a characteristic of a Model A or M/M/1 system?

Accepted Answer

A) exponential service time pattern 
B) single number of servers 
C) single number of phases 
D) Poisson arrival rate pattern 
E) finite population size 
A) exponential service time pattern 
B) single number of servers 
C) single number of phases 
D) Poisson arrival rate pattern 
E) finite population size

Question 12

A finite population waiting line model with N = 5 can serve 20 customers/day.There are 5 arrivals/day.What is the average number of customers in the queue?

Accepted Answer

A) 0 
B) 1 
C) 2 
D) .1 
E) 10 
A) 0 
B) 1 
C) 2 
D) .1 
E) 10

Question 13

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?

Accepted Answer

P(0)= e^(-1)(1^0)/0! = .368
P(

Question 14

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

Accepted Answer

A) average time spent in the queue 
B) average queue length 
C) probability that the service facility will be idle 
D) utilization factor for the system 
E) All of the above are performance measures. 
A) average time spent in the queue 
B) average queue length 
C) probability that the service facility will be idle 
D) utilization factor for the system 
E) All of the above are performance measures.

Question 15

A waiting-line system that meets the assumptions of M/M/1 has λ = 1,μ = 4.Calculate Po.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

Accepted Answer

Po = 1 - .

Question 16

A waiting line meeting the M/M/1 assumptions has an arrival rate of 10 per hour and a service rate of 12 per hour.What is the probability that the waiting line is empty?

Accepted Answer

Po = 1 - λ

Question 17

Why must the service rate be greater than the arrival rate in a single-server system?

Accepted Answer

If the service rate is not gre

Question 18

In the basic queuing model (M/M/1),what probability distribution describes arrival rates?

Accepted Answer

A) continuous 
B) normal 
C) negative exponential 
D) Poisson 
E) lognormal 
A) continuous 
B) normal 
C) negative exponential 
D) Poisson 
E) lognormal

Question 19

The cost of waiting decreases as the service level increases.

Accepted Answer

A) True 
 B)False

Question 20

A single-phase waiting-line system meets the assumptions of constant service time or M/D/1.Units arrive at this system every 12 minutes on average.Service takes a constant 8 minutes.What is the average length of the queue Lq in units?

Accepted Answer

A) 0.67 
B) 2.5 
C) 4.5 
D) 5.0 
E) 7.5 
A) 0.67 
B) 2.5 
C) 4.5 
D) 5.0 
E) 7.5

Exam 25: Waiting-Line Models

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

The two characteristics of the waiting line itself are whether its length is limited or unlimited and the discipline of the people or items in it.

In the analysis of queuing models,the Poisson distribution often describes arrival rates,while service times are often described by the negative exponential distribution.

Little's Law is not applicable in which of the following situations?

Which of the following represents a customer that reneged due to the waiting line?

The shopper who says to himself,"I've waited too long in this line.I don't really need to buy this product today," and leaves the store is an illustration of which element of arrival behavior?

Describe the difference between FIFO and LIFO queue disciplines.

A finite population waiting line model with N = 5 has 5 arrivals per hour.Twenty customers can be served per hour.The probability the system is empty is:

A finite population waiting line model is also called M/M/1 with finite source.

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 one of the following is NOT a characteristic of a Model A or M/M/1 system?

A finite population waiting line model with N = 5 can serve 20 customers/day.There are 5 arrivals/day.What is the average number of customers in the queue?

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?

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

A waiting-line system that meets the assumptions of M/M/1 has λ = 1,μ = 4.Calculate Po.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

A waiting line meeting the M/M/1 assumptions has an arrival rate of 10 per hour and a service rate of 12 per hour.What is the probability that the waiting line is empty?

Why must the service rate be greater than the arrival rate in a single-server system?

In the basic queuing model (M/M/1),what probability distribution describes arrival rates?

The cost of waiting decreases as the service level increases.

A single-phase waiting-line system meets the assumptions of constant service time or M/D/1.Units arrive at this system every 12 minutes on average.Service takes a constant 8 minutes.What is the average length of the queue Lq in units?

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