What is Queueing Theory?
Queuing theory is a mathematical theory and method for studying the random convergence phenomenon of systems and the working process of random service systems, also known as random service system theory, and is a branch of operations research.
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- There are a large number of tangible and intangible queuing or congestion in daily life, such as passengers queuing for ticket purchases, and busy telephone calls in the city. The basic idea of queuing theory was formed in 1909 by Danish mathematician, scientist, and engineer AK Erlang while solving the problem of automatic telephone design. It was called traffic theory at that time. he is
- Queuing theory, or stochastic service system theory, is obtained through statistical research on the arrival of service objects and service time.
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- The queuing theory has been widely used in transportation systems, port berth design, machine maintenance, inventory control and other service systems. Table 2 lists the applications of queuing theory.