NETWORK MODELING OF STOCHASTIC PROCESSES OF PERFORMANCE OF A COMPLEX OF THE INTERCONNECTED OPERATIONS
Dorodnicyn Computing Centre, Russian Academy of Sciences, http://www.ccas.ru
40, Vavilova str., 119333 Moscow, Russian Fegeration
In article theoretical bases of network modeling of stochastic processes of performance of a complex of the interconnected operations (works) are stated, which include a method of creation of a network model with stochastic structure and analysis methods. The offered method of creation of a network model with stochastic structure allows to use events with wide logical possibilities on an input and an output and, as a result, adequately to display stochastic process of performance of a complex of the interconnected operations (works) for the purpose of its research, development forecasting, and also optimization from the point of view of expenses of time and resources. It is offered to apply a method of statistical tests, the numerical method and an analytical method to obtaining of estimations of probability characteristics of a network model with stochastic structure. The method of statistical tests is most a universal remedy of obtaining of statistical estimations of probability characteristics of a network model with stochastic structure. At its application there is no necessity to enter restriction on logical possibilities of events of a network model on an input and an output. At the heart of application of the numerical method of determination of estimations of probability characteristics of a network model with stochastic structure and casual duration of operations changeover of distribution density of duration of each operation by the histogram lies. The analytical method can be applied to the analysis of the network model containing loops and circuits, but having restrictions on logical possibilities of events.
Keywords: mathematical modeling, network model, operation, work, event, network model characteristics.
Bibliographies – 6 references
, 2011, 3(2):59-84
Zukhovitsky SI, Radchik IA. Matematicheskie metody setevogo planirovaniya [Mathematical methods of network planning]. Moscow, Nauka Publ., 1965, 254 p.
Osnovnye polozheniya po razrabotke i primeneniyu sistem setevogo planirovaniya i upravleniya [The main provisions on the development and application of systems of network planning and management]. Moscow, Ekonomika Publ., 1965, 197 p.
Filips D, Garsia-Dias A. Metody analiza setey [Methods for analysing networks]. Moscow, Mir Publ., 1984, 312 p.
Buslenko NP, Golenko DI, Sobol’ IM at all. Metod statisticheskikh ispytaniy (metod Monte-Karlo) [Method of statistical tests (Monte-Carlo method)]. Moscow, Fizmatgiz Publ., 1962, 332 p.
Golenko DI. Statisticheskie metody v sistemakh setevogo planirovaniya i upravleniya [Statistical methods in systems of network planning and management]. Collect.: Setevoe planirovanie i upravlenie [Network planning and management]. Moscow, Ekonomika Publ. 1967.
Ventzel’ ES. Teoriya veroyatnostey [Probability theory]. Moscow, Fizmatgiz Publ., 1962.
Full-text electronic version of this article - web site http://elibrary.ru