Question 1

Explain Kendall's notation: G/M/3/10/20.

Accepted Answer

(Arrivals have a general proba

Question 2

For many queue types, Pw, the probability a customer must wait for service, = ?, the server utilization rate.For what types of queues is this not true?

Accepted Answer

(Multiple

Question 3

Which of the following would best be characterized as a Poisson arrival process?

Accepted Answer

A) Football game attendees, 
B) Tax returns received by a regional IRS office. 
C) Incoming phone calls to a business switchboard. 
D) Ladies visiting a hair salon. 
A) Football game attendees, 
B) Tax returns received by a regional IRS office. 
C) Incoming phone calls to a business switchboard. 
D) Ladies visiting a hair salon.

Question 4

A local dry cleaning establishment is open from 7
a.m.to 7 p.m., weekdays.The average arrival rate of customers is 15 per hour, both from 7 to 10
a.m., and from 4 to 7 p.m.In between, it is 9 per hour.In all time periods, the Poisson assumption for the arrival process seems to be valid.Can this be treated as a queuing system, with ? = 12 ([15 + 9]/2)?

Accepted Answer

(No.The rush hours (morning plus eveni

Question 5

You are studying service times at Derman's Department Store, which is open 7 days a week from 10:00 AM to 9:00 PM.Why might you ignore data from 10:00 to 10:30 AM?

Accepted Answer

A) Insufficient sample size. 
B) Start up bias. 
C) The doors do not open at exactly 10:00 AM. 
D) The data do not fit the hypothesis. 
A) Insufficient sample size. 
B) Start up bias. 
C) The doors do not open at exactly 10:00 AM. 
D) The data do not fit the hypothesis.

Question 6

Suppose that an office has one secretary who can put up to two callers on hold while speaking to a third caller.(If two callers are on hold, additional callers will get a busy signal and will not
Call back.) If the arrival rate of calls follows a Poisson
Distribution with a mean rate of 20 per hour and the average length
Of a telephone conversation is 2 minutes, the average number of
Callers who will be on hold is approximately:

Accepted Answer

A) 2.0. 
B) 1.3333 
C) 1.0154. 
D) .4308. 
A) 2.0. 
B) 1.3333 
C) 1.0154. 
D) .4308.

Question 7

The optimal situation (in terms of minimizing the average number of customers in the queue) in an M/M/1 queuing system is when the arrival rate λ exactly equals the service rate μ.

Accepted Answer

A) True 
 B)False

Question 8

μ, in the service segment of a queuing process, is the average number of customers actually served per unit of time.

Accepted Answer

A) True 
 B)False

Question 9

A Poisson distribution with mean λ is equivalent to an
exponential distribution with mean 1/λ.

Accepted Answer

A) True 
 B)False

Question 10

Necessary assumptions underlying a Poisson arrival process do not include:

Accepted Answer

A) orderliness. 
B) homogeneity. 
C) independence. 
D) stationarity. 
A) orderliness. 
B) homogeneity. 
C) independence. 
D) stationarity.

Question 11

Homogeneity means:

Accepted Answer

A) all customers arrive according to the same pattern and receive the same service. 
B) past service time does not affect future service time. 
C) processes reach steady state. 
D) all servers are available as long as the queue functions. 
A) all customers arrive according to the same pattern and receive the same service. 
B) past service time does not affect future service time. 
C) processes reach steady state. 
D) all servers are available as long as the queue functions.

Question 12

The Pollaczek-Khintchine formula comes from the study of:

Accepted Answer

A) M/G/1 queues. 
B) simulation. 
C) M/M/1 queues. 
D) Markov chains. 
A) M/G/1 queues. 
B) simulation. 
C) M/M/1 queues. 
D) Markov chains.

Question 13

In an M/M/1 queuing system, ? = 6, and the system is idle 40%
of the time.What is the average service rate, ??

Accepted Answer

(? = 10.If the idle

Question 14

In queuing analysis, the exponential distribution is a special case of which other distribution?

Accepted Answer

A) Erlangian. 
B) Poisson. 
C) normal. 
D) Markovian. 
A) Erlangian. 
B) Poisson. 
C) normal. 
D) Markovian.

Explain Kendall's notation: G/M/3/10/20.

For many queue types, Pw, the probability a customer must wait for service, = ?, the server utilization rate.For what types of queues is this not true?

Which of the following would best be characterized as a Poisson arrival process?

You are studying service times at Derman's Department Store, which is open 7 days a week from 10:00 AM to 9:00 PM.Why might you ignore data from 10:00 to 10:30 AM?

The optimal situation (in terms of minimizing the average number of customers in the queue) in an M/M/1 queuing system is when the arrival rate λ exactly equals the service rate μ.

μ, in the service segment of a queuing process, is the average number of customers actually served per unit of time.

A Poisson distribution with mean λ is equivalent to an exponential distribution with mean 1/λ.

Necessary assumptions underlying a Poisson arrival process do not include:

Homogeneity means:

The Pollaczek-Khintchine formula comes from the study of:

In an M/M/1 queuing system, ? = 6, and the system is idle 40% of the time.What is the average service rate, ??

In queuing analysis, the exponential distribution is a special case of which other distribution?

Introduction to Management Science Models

Introduction to Management Science Models

Applications of Linear and Integer Programming Models

Network Models

Project Scheduling Models

Decision Models

Forecasting

Inventory Models

Simulation Models

Quality Management Models

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Exam 9: Queuing Models

Explain Kendall's notation: G/M/3/10/20.

For many queue types, Pw, the probability a customer must wait for service, = ?, the server utilization rate.For what types of queues is this not true?

Which of the following would best be characterized as a Poisson arrival process?

You are studying service times at Derman's Department Store, which is open 7 days a week from 10:00 AM to 9:00 PM.Why might you ignore data from 10:00 to 10:30 AM?

The optimal situation (in terms of minimizing the average number of customers in the queue) in an M/M/1 queuing system is when the arrival rate λ exactly equals the service rate μ.

μ, in the service segment of a queuing process, is the average number of customers actually served per unit of time.

A Poisson distribution with mean λ is equivalent to an exponential distribution with mean 1/λ.

Necessary assumptions underlying a Poisson arrival process do not include:

Homogeneity means:

The Pollaczek-Khintchine formula comes from the study of:

In an M/M/1 queuing system, ? = 6, and the system is idle 40% of the time.What is the average service rate, ??

In queuing analysis, the exponential distribution is a special case of which other distribution?

Introduction to Management Science Models

Introduction to Management Science Models

Applications of Linear and Integer Programming Models

Network Models

Project Scheduling Models

Decision Models

Forecasting

Inventory Models

Simulation Models

Quality Management Models

Markov Process Models

Nonlinear Models:dynamic, Goal, and Nonlinear Programming

Filters