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The queueing theory (or queueing theory) concerns itself with the mathematical analysis of systems, in which orders are worked on by control stations. Many of the characteristic sizes are random numbers. The queueing theory is a subsection of the probability theory and/or operations the Research and an example of applied mathematics. It has meaning with the analysis of computers, telecommunication systems, traffic systems, logistics and production systems. Depending upon range of application the abstract terms order and/or control station have very different meanings. (e.g.)
In principle a queueing system consists of a control range, within which one or more control stations work on orders and a waiting area, in which arriving orders wait with up-to-date not free and/or available service units for the operation. Dispatched orders leave the system. Queueing systems without waiting area are called Verlustsysteme. By David George Kendall a uniform notation for the description of the queueing systems one developed, the Kendall notation.
Several of such (more simply) queueing systems can be built up to so-called networks of queues. To the mathematical analysis of queueing systems different beginnings were developed. In addition belong Markov chains, Petri nets and the event-discrete simulation.
The first application of the queueing theory took place via the mathematician Agner Krarup attains 1909 for the dimensioning of exchange plants.
Queue (data structure), Littles law, pure chance traffic, simulation, distribution of random numbers
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