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RUDN University mathematicians proved a theorem that will facilitate the solution of problems in queueing theory—a branch of mathematics that describes query chains, for example, in the service sector. These results can be applied in industry, information technology, and neural networks theory. The study is published in Engineering and Informational Sciences.
Queueing theory models usually consist of two parts. The first one is a conditional store with various resources, for example, products. The second one is the amount of product resources that are purchased at a given time. Traditionally, the second part of the model is called the queue, which gives the theory its name.
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The queue is described by a random process, and the behavior of the entire model is determined by a system of probability equations. It is complicated to find a "head-on" solution for such systems, so modeling more often considers systems where solutions can be found in some special form, which is called multiplicative.
RUDN University mathematician Konstantin Samuylov, professor, director of the Institute of Applied Mathematics and Telecommunications of RUDN University, considered the most general version of the model, where queue values can take both positive and negative values....
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