Question 1

The greater the margin by which the arrival rate exceeds the service rate,the better the performance of the waiting line.

Accepted Answer

A) True 
 B)False

Question 2

The sign at the bank that reads,"Wait here for the first available teller," suggests the use of a ________ waiting line system.

Accepted Answer

A) dynamic-server,single-phase 
B) random-server,single-phase 
C) single-server,multiphase 
D) multiple-server,single-phase 
E) multiple-server,multiphase 
A) dynamic-server,single-phase 
B) random-server,single-phase 
C) single-server,multiphase 
D) multiple-server,single-phase 
E) multiple-server,multiphase

Question 3

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

Question 4

In a finite or limited population waiting line,the ________ is calculated from the average service time and average time between service requirements before the problem can be completed.

Accepted Answer

The answer of In a finite or limited population waiting...

Question 5

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

Accepted Answer

A) True 
 B)False

Question 6

Which one of the following is NOT a characteristic of a Model B or M/M/S system?

Accepted Answer

A) unlimited population size 
B) single server 
C) exponential service time pattern 
D) single phase 
E) Poisson arrival rate pattern 
A) unlimited population size 
B) single server 
C) exponential service time pattern 
D) single phase 
E) Poisson arrival rate pattern

Question 7

A waiting-line system that meets the assumptions of M/M/1 has λ = 1,μ = 4.For this system,Po is ________ and utilization is ________.

Accepted Answer

A) 0.75; 0.25 
B) 0.80; .20 
C) -3; -4 
D) 3; 4 
E) none of the above 
A) 0.75; 0.25 
B) 0.80; .20 
C) -3; -4 
D) 3; 4 
E) none of the above

Question 8

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.What is the service factor X?

Accepted Answer

A) 0.20 
B) 0.25 
C) 4 
D) 5 
E) 300 minutes 
A) 0.20 
B) 0.25 
C) 4 
D) 5 
E) 300 minutes

Question 9

A crew of mechanics at the Highway Department Garage repair vehicles that break down at an average of λ = 5 vehicles per day (approximately Poisson in nature).The mechanic crew can service an average of μ= 10 vehicles per day with a repair time distribution that approximates an exponential distribution.
a.What is the probability that the system is empty?
b.What is the probability that there is precisely one vehicle in the system?
c.What is the probability that there is more than one vehicle in the system?
d.What is the probability of 5 or more vehicles in the system?

Accepted Answer

(a)P0 = 1 - 5/10 = 0.50; (b)Pn > 1 = (5/

Question 10

Which of the following is NOT a common queuing situation?

Accepted Answer

A) grocery shoppers being served by checkout clerks 
B) commuters slowing or stopping at toll plazas to pay highway tolls 
C) machinery waiting to be repaired or maintained 
D) parcel delivery truck following its computer-generated route 
E) patients in a health clinic waiting to see one of several doctors 
A) grocery shoppers being served by checkout clerks 
B) commuters slowing or stopping at toll plazas to pay highway tolls 
C) machinery waiting to be repaired or maintained 
D) parcel delivery truck following its computer-generated route 
E) patients in a health clinic waiting to see one of several doctors

Question 11

At the order fulfillment center of a major mail-order firm,customer orders,already packaged for shipment,arrive at the sorting machine to be sorted for loading onto the appropriate truck for the parcel's address.The arrival rate at the sorting machine is at the rate of 140 per hour following a Poisson distribution.The machine sorts at the constant rate of 150 per hour.
a.What is the utilization rate of the system?
b.What is the average number of packages waiting to be sorted?
c.What is the average number of packages in the sorting system?
d.How long must the average package wait until it gets sorted?

Accepted Answer

(a)The utilization rate is = 1

Question 12

Which of the following is NOT an assumption of the M/M/1 model?

Accepted Answer

A) The first customers to arrive are the first customers served. 
B) Each arrival comes independently of the arrival immediately before and after that arrival. 
C) The population from which the arrivals come is very large or infinite in size. 
D) Customers do not renege. 
E) Service times occur according to a normal probability distribution. 
A) The first customers to arrive are the first customers served. 
B) Each arrival comes independently of the arrival immediately before and after that arrival. 
C) The population from which the arrivals come is very large or infinite in size. 
D) Customers do not renege. 
E) Service times occur according to a normal probability distribution.

Question 13

A(n)________ queuing system has one waiting line,but several servers; a(n)________ queuing system is one in which the customer receives services from several stations before exiting the system

Accepted Answer

multiple-s

Question 14

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 15

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

Accepted Answer

The answer of A waiting line has a(n)________ population if,as...

Question 16

The cost of waiting decreases as the service level increases.

Accepted Answer

A) True 
 B)False

Question 17

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 18

In queuing problems,which of the following probability distributions is typically used to describe the number of arrivals per unit of time?

Accepted Answer

A) binomial 
B) normal 
C) Poisson 
D) exponential 
E) lognormal 
A) binomial 
B) normal 
C) Poisson 
D) exponential 
E) lognormal

Question 19

A waiting-line system has three parts: the size of the arrival population,the behavior of arrivals,and the statistical distribution of arrivals.

Accepted Answer

A) True 
 B)False

Exam 25: Waiting-Line Models

The greater the margin by which the arrival rate exceeds the service rate,the better the performance of the waiting line.

The sign at the bank that reads,"Wait here for the first available teller," suggests the use of a ________ waiting line system.

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?

In a finite or limited population waiting line,the ________ is calculated from the average service time and average time between service requirements before the problem can be completed.

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

Which one of the following is NOT a characteristic of a Model B or M/M/S system?

A waiting-line system that meets the assumptions of M/M/1 has λ = 1,μ = 4.For this system,Po is ________ and utilization is ________.

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.What is the service factor X?

Which of the following is NOT a common queuing situation?

Which of the following is NOT an assumption of the M/M/1 model?

A(n)________ queuing system has one waiting line,but several servers; a(n)________ queuing system is one in which the customer receives services from several stations before exiting the system

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

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

The cost of waiting decreases as the service level increases.

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

In queuing problems,which of the following probability distributions is typically used to describe the number of arrivals per unit of time?

A waiting-line system has three parts: the size of the arrival population,the behavior of arrivals,and the statistical distribution of arrivals.

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A waiting-line system that meets the assumptions of M/M/1 has λ = 1,μ = 4.For this system,Po is and utilization is .

A(n) queuing system has one waiting line,but several servers; a(n) queuing system is one in which the customer receives services from several stations before exiting the system