This file contains definitions
of queues and queueing theory taken
from some of the standard texts in the field.
If you would like to make corrections or
add information, please e-mail
Dr. Hlynka at
URL is http://web2.uwindsor.ca/math/hlynka/queue.html
Last update: May 4, 2006.
- (Kleinrock) "We study the phenomena of standing, waiting, and serving,
and we call this study
"Any system in which arrivals place demands upon a finite
capacity resource may be termed a queueing system."
- (Cooper) "The term Queueing Theory is often used to describe the more
theory of waiting lines.
- (Gross and Harris) "A Queueing System can be described as customers
arriving for service,
waiting for service if it is not immediate, and if
having waited for service, leaving the system
after being served."
- (Jain, Mohanty, Bohm) "Lining up for some form of service is a
common phenomenon, be it visible of invisible, be it human beings or
inanimate objects. [...] Whenever the available resource is not sufficient
to satify the demands, then the demanding units have to wait and are
subjected to queueing analysis."
- (Wolff) "The primary tool for studying these problems [of congestions]
is known as
- (Prabhu) "A queue or waiting line is formed when customers arrive at a
certain facilities and demand service."
- (Saaty) "A queue, or a waiting line, involves arriving items that wait
to be served at
the facility which provides the service they seek."
- (Kashyap and Chaudhry) "In queueing theory, we study situations where
units of some kind
arrive at a service facility for receiving service of
some description, some of the units have
to wait for service, and depart
- (Cox and Smith)
"The thing common to all the [queueing] systems that we
consider a flow of
customers requiring service, there being
some restriction on the service that can be provided."
- (Takacs) "...the theory of queues deals with the investigation
of the stochastic law of different
processes arising in
connection with mass servicing in cases where random
- (Lipsky) "... a queue is a line of customers waiting to be served."
- (Bose) "the basic phenomenon of queueing arises whenever a shared
facility needs to be
accessed for service by a large number of jobs or
- (Takagi) "A queue is formed when service requests arrive at a service facility and
are forced to
wait while the server is busy working on other requests."
- Finally, we have this gem from
"Communicating the Bible in the Context
of Religious Pluralism in Indonesia" by E. G. Singgih.
see arrows, they think of “queueing”, and in turn, queueing means
In other countries such as Singapore and Malays, queueing means
that you are sure to get what you want,
even if you have to wait for
some time. In Indonesia, queueing means “quick, for there will be
left soon”. And so you will witness that kind of queueing where people are
hard against one another, and where no kind word is heard, and
where people sometimes get
into blows with one another. Even if they do
not relate queueing with scarcity, for many queueing
is not a normal way
of doing things. They will queue only at the last moment, and feel that
this is a regulation which is forced upon them by those who are in power.
direct people to stand in line, are representatives of the
powers that be. But surely arrows
are there to help you? And what is
queueing except a cultured way of life?
Yes, for some, but not for all."
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