V.A. Tsimbal - Honored Scientist of RF, Dr. Sc. (Eng.), Professor, Branch of Peter The Great Military Academy of Strategic Rocket Forces (Serpukhov) E-mail: tsimbalva@mail.ru S.N. Shimanov - Dr. Sc. (Eng.), Professor, Branch of Peter The Great Military Academy of Strategic Rocket Forces (Serpukhov) E-mail: shimmi@mail.ru V.V. Zelenevskiy - Dr. Sc. (Eng.), Professor, Branch of Peter The Great Military Academy of Strategic Rocket Forces (Serpukhov) E-mail: zelenevsky.vladimir@gmail.com V.P. Pashintsev - Dr. Sc. (Eng.), Professor, Leading Research Scientist, Institute of Engineering Physics (Serpukhov) E-mail: pashintsevp@mail.ru D.G. Mitrofanov - Dr. Sc. (Eng.), Professor, Leading Research Scientist, Institute of Engineering Physics (Serpukhov) E-mail: mdgvupvo@yandex.ru V.A. Shevtsov - Dr. Sc. (Eng.), Professor, Pro-rector of R&D, Moscow Aviation Institute (National Research University) E-mail: info@iifmail.ru O.M. Brekhov - Honored Scientist of RF, Dr. Sc. (Eng.), Professor, Head of Department, Moscow Aviation Institute (National Research University) E-mail: info@iifmail.ru I.A. Bugakov - Honored Inventor of RF, Dr. Sc. (Eng.), Professor, Rector of Institute of Engineering Physics (Serpukhov) E-mail: bia11@mail.ru V.E. Toiskin - Ph. D. (Eng.), Lecturer, Branch of Peter The Great Military Academy of Strategic Rocket Forces (Serpukhov) E-mail: vetoiskin@mail.ru A.A. Vasilchenko - Post-graduate Student, Branch of Peter The Great Military Academy of Strategic Rocket Forces (Serpukhov) E-mail: alexsvi88@rambler.ru A.V. Kochurov - Post-graduate Student, Institute of Engineering Physics (Serpukhov) E-mail: koalva13@yandex.ru

Of important tasks of the analysis of quality of operation of cellular system of type of GSM the task of an estimation of characteristics of efficiency of establishment of double-side connection of an information exchange between net surfers are one. In article the theory of finite Markov circuits for the description of processes of proklyucheniye of the duplex communication path necessary for an information exchange of two subscribers in cellular systems of type of GSM are us. Thus on the basis of the theory of finite Markov circuits the grafovy process model of connection establishment both on ascend, and on a radio frequency spectral line descend sections are construct. On the basis of known in the theory of finite Markov circuits of the equation of Kolmogorov Chapman was f probability - time response characteristics of research process, and on the basis of fundamental and dispersing matrix time response characteristics was f it. Specificity of describing process of the organization of double-side connection between subscribers of cellular system of type of GSM are that the step of passages to finite Markov circuits had different temporary length. It are cause by that in consider cellular system separate stages of the common process of switching of the channel was implement with duration different are more time than slots, frames, superframes. The g lack are overce by a path of usage enter by authors in the theory of finite Markov circuits of concepts «an average step of passage» and «fictitious states». For the adequate description of simultaneously result processes of ascend and descend sections of a radio frequency spectral line dependent among themselves in article the new concept «a parallel finite Markov circuit» are us. The offer approach to the analysis of characteristics of process of connection establishment in cellular system of type of GSM are illustrat with great volume of examples of calculation probability - time and time response characteristics of the organization of the double-side channel between subscribers in such network. Results of operation given to researchers of a telecommunication profile the tool, allow to find the characteristic of efficiency of the organization of an information exchange in cellular system as type of GSM, and in cellular sys-tems of other type depending on them system parameters.

 

1. Babkov V.JU., Cinkin I.A. Sotovye sistemy mobilnojj radiosvjazi: Ucheb. posobie. Izd. 2-e, pererab. i dop. Spb.: BKHV-Peterburg. 2013. 432 s.
2. Heine G. GSM networks: protocols, terminology, and implementation. 1998. 417 c. ISBN 0-89006-471-7.
3. Kemeni Dzh., Snell Dzh.L. Konechnye cepi Markova: Per. s angl. M.: Nauka. 1970.
4. Cimbal V.A. Kachestvo informacionnogo obmena v setjakh peredachi dannykh. Markovskijj podkhod. M: Vuzovskaja kniga. 2014. 144 s. ISBN 0- 89006-471-7.
5. Cimbal V.A., Vasilchenko A.A., Kochurov A.V. Matematicheskoe modelirovanie processa ustanovlenija soedinenija v seti sotovojj svjazi GSM // Izvestija Instituta inzhenernojj fiziki. 2015. T. 37. № 3. S. 16−22.
6. Livshic B.S., Pshenichnikov A.P., KHarkevich A.D. Teorija teletrafika: Uchebnik dlja vuzov. Izd. 2-e, pererab. i dop. M: Svjaz. 1979. 224 s.
7. Cimbal V.A. Opredelenie verojatnostno-vremennykh kharakteristik dovedenija soobshhenijj na osnove konechnykh markovskikh cepejj // Izvestija VUZov. Ser. Priborostroenie. 1997. T. 40. № 5. S. 11.
8. Cimbal V.A., Popov M.JU., Drobyshev M.JU., Borodin S.G., Derkach A.M. CHislennoe opredelenie vremennykh i verojatnostno-vremennykh kharakteristik pogloshhajushhikh konechnykh markovskikh cepejj pri konechnom chisle shagov processa // Doklady. Ser. Nauchnye konferencii, posvjashhennye Dnju radio. Rossijjskoe nauchno-tekhnicheskoe obshhestvo radiotekhniki, ehlektroniki i svjazi im. A.S. Popova. M.: OOO «BRIS-M». 2014. Vyp. LXIX. S. 114−118.
9. Popov M.JU. Mekhanizm upravlenija skorostju peredachi soobshhenijj kak podkhod k snizheniju garantirovannogo vremeni dovedenija v odnostoronnejj cirkuljarnojj radioseti opoveshhenija // Izvestija Instituta inzhenernojj fiziki. 2015. T. 38. № 4. S. 19−24.