Question 1

Service times in an automobile repair shop tend to follow which probability distribution?

Accepted Answer

A) exponential 
B) normal 
C) triangular 
D) binomial 
E) Erlang 
A) exponential 
B) normal 
C) triangular 
D) binomial 
E) Erlang

Question 2

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 fewer than two units in the system?

Accepted Answer

A) 0.0625 
B) 0.25 
C) 0.75 
D) 0.9375 
E) 1.00 
A) 0.0625 
B) 0.25 
C) 0.75 
D) 0.9375 
E) 1.00

Question 3

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 4

A(n)________ is a discrete probability distribution that often describes the arrival rate in queuing theory.

Accepted Answer

Poisson di

Question 5

Which of the following is a measure of queue performance?

Accepted Answer

A) utilization factor for the system 
B) average queue length 
C) probability of a specific number of customers in the system 
D) average waiting time in the line 
E) all of the above 
A) utilization factor for the system 
B) average queue length 
C) probability of a specific number of customers in the system 
D) average waiting time in the line 
E) all of the above

Question 6

A finite population waiting line model has an average service time T of 100 minutes and an average time between service requirements U of 400 minutes;the service factor X is 0.25.

Accepted Answer

A) True 
 B)False

Question 7

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

Accepted Answer

A) -3 
B) 3 
C) 0.667 
D) 150 percent 
E) Growing without limit,since λ is larger than μ. 
A) -3 
B) 3 
C) 0.667 
D) 150 percent 
E) Growing without limit,since λ is larger than μ.

Question 8

A crew of mechanics at the Highway Department Garage repair vehicles that break down at an average of λ = 7 vehicles per day (approximately Poisson in nature).The mechanic crew can service an average of μ= 11 vehicles per day with a repair time distribution that approximates an exponential distribution.
a.What is the utilization rate for this service system?
b.What is the average time before the facility can return a breakdown to service?
c.How much of that time is spent waiting for service?
d.How many vehicles are likely to be waiting for service at any one time?

Accepted Answer

(a)Utilization is 7 / 11 = .63

Question 9

A concert hall,employing both ticket takers and ushers to seat patrons,behaves typically as which of the following?

Accepted Answer

A) multiple-server,single-phase system 
B) multiple-server,multiphase system 
C) single-server,single-phase system 
D) single-server,multiphase system 
E) multiple-server,cross-phase system 
A) multiple-server,single-phase system 
B) multiple-server,multiphase system 
C) single-server,single-phase system 
D) single-server,multiphase system 
E) multiple-server,cross-phase system

Question 10

A McDonald's single-lane drive-through that has one window for making the payment and a second window for receiving the food behaves most like which of the following?

Accepted Answer

A) single-server,single-phase system 
B) single-server,multiphase system 
C) multiple-server,single-phase system 
D) multiple-server,multiphase system 
E) single-server,sequential-phase system 
A) single-server,single-phase system 
B) single-server,multiphase system 
C) multiple-server,single-phase system 
D) multiple-server,multiphase system 
E) single-server,sequential-phase system

Question 11

A waiting-line system with one waiting line and three sequential processing stages is a multiple-server,single-phase system.

Accepted Answer

A) True 
 B)False

Question 12

You have seen that,in an M/D/1 problem,the average queue length is exactly one-half the average queue length of an otherwise identical M/M/1 problem.Are all other performance statistics one-half as large also? Explain.

Accepted Answer

Only the average queue length

Question 13

A bank office with five tellers,each with a separate line of customers,exhibits the characteristics of a multiphase queuing system.

Accepted Answer

A) True 
 B)False

Question 14

A(n)________ queuing system is one in which the customer receives service from only one station and then exits the system.

Accepted Answer

The answer of A(n)________ queuing system is one in which...

Question 15

A finite population waiting line model has an average service time T of 200 minutes and an average time between service requirements U of 300 minutes.What is the service factor X?

Accepted Answer

A) 0.20 
B) 0.40 
C) 0.60 
D) 0.67 
E) 2.5 
A) 0.20 
B) 0.40 
C) 0.60 
D) 0.67 
E) 2.5

Question 16

A waiting line meeting the M/M/1 assumptions has an arrival rate of 4 per hour and a service rate of 12 per hour.What is the average time a unit spends in the system and the average time a unit spends waiting (in hours)?

Accepted Answer

W_s = 1 / ( μ- λ)= 1 / (12 - 4)=

Question 17

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 18

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

Accepted Answer

A) distribution of arrival times,discipline while waiting,and distribution of service times. 
B) arrival rate,service rate,and utilization rate. 
C) arrival discipline,queue discipline,and service sequencing. 
D) arrivals or inputs,queue discipline or the waiting line itself,and the service facility. 
E) sequencing policy,penalty for reneging,and expediting of arrivals. 
A) distribution of arrival times,discipline while waiting,and distribution of service times. 
B) arrival rate,service rate,and utilization rate. 
C) arrival discipline,queue discipline,and service sequencing. 
D) arrivals or inputs,queue discipline or the waiting line itself,and the service facility. 
E) sequencing policy,penalty for reneging,and expediting of arrivals.

Question 19

A waiting line meeting the M/M/1 assumptions has an arrival rate of 4 per hour and a service rate of 12 per hour.What is the probability that the waiting line is empty?

Accepted Answer

P_o = 1 - λ/

Question 20

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 and staff)?
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?

Accepted Answer

(a)P_o = 1 - 3/4 = 0.25; (b)The probabilit

Exam 25: Waiting-Line Models

Service times in an automobile repair shop tend to follow which probability distribution?

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 fewer than two units in the system?

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

A(n)________ is a discrete probability distribution that often describes the arrival rate in queuing theory.

Which of the following is a measure of queue performance?

A finite population waiting line model has an average service time T of 100 minutes and an average time between service requirements U of 400 minutes;the service factor X is 0.25.

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

A concert hall,employing both ticket takers and ushers to seat patrons,behaves typically as which of the following?

A McDonald's single-lane drive-through that has one window for making the payment and a second window for receiving the food behaves most like which of the following?

A waiting-line system with one waiting line and three sequential processing stages is a multiple-server,single-phase system.

You have seen that,in an M/D/1 problem,the average queue length is exactly one-half the average queue length of an otherwise identical M/M/1 problem.Are all other performance statistics one-half as large also? Explain.

A bank office with five tellers,each with a separate line of customers,exhibits the characteristics of a multiphase queuing system.

A(n)________ queuing system is one in which the customer receives service from only one station and then exits the system.

A finite population waiting line model has an average service time T of 200 minutes and an average time between service requirements U of 300 minutes.What is the service factor X?

A waiting line meeting the M/M/1 assumptions has an arrival rate of 4 per hour and a service rate of 12 per hour.What is the average time a unit spends in the system and the average time a unit spends waiting (in hours)?

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.

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

A waiting line meeting the M/M/1 assumptions has an arrival rate of 4 per hour and a service rate of 12 per hour.What is the probability that the waiting line is empty?

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