MODEL OF SOLUTION OF OPTIMIZATION PROBLEMS
Abstract
The article refers to main outlines of mathematical model of rail transport. The authors substantiate the necessity to use dynamic programming method to optimize the parameters of the rail sector state. They argue the utility to use rail car department as a sort of department that is a «vehicle» of a key model idea. The authors suggest requirements concerning objective function, its formulae, and a tool to transform it into additive function via solving auxiliary optimization problem. They prove the necessity to realize a new paradigm of car designing model, which is mandatory for effective use of achieved optimum parameters of rail sector state. The management system for rail sector, as it is considered by the authors, is deemed to be multilevel and hierarchic, allowing there-by to analyze problems relevant to local conditions and objectives and according new possibilities to assess transit capacity of Russia and to create globally railway nets with scientifically bases management system. The implementation of such project might permit to achieve advantages for railway transportation, notably taking into account the maintenance of ecological balance and reduction of carriage costs, to gain part of market of truck, air and sea haulage.
About the Authors
P. A. UstichRussian Federation
D. Sc. (Tech), professor
A. A. Ivanov
Russian Federation
D. Sc. (Tech), professor
L. M. Chernyshova
Russian Federation
Ph.D. (Economics), associate professor
References
1. Устич П. А., Иванов А. А., Садчиков П. И., Устич Д. П., Шикина Д. И. Методология гармонизации основных положений императива рынка транспортных услуг // Железнодорожный транспорт. – 2010. – № 8. – С. 64–68. Ustich P. A., Ivanov A. A., Sadchikov P. I., Ustich D. P., Shikina D. I. Methodology of harmonization of main theses of the imperative of transport services market [Metodologiya garmonizatsii osnovnyh polozheniy imperativa rynka transportnyh uslug]. Zheleznodorozhnyj transport, 2010, № 8, pp. 64–68.
2. Устич П. А., Иванов А. А., Мышков В. Г., Садчиков П. И. Научное обеспечение развития отрасли // Железнодорожный транспорт. – 2008. – № 7. – С. 39–43. Ustich P. A., Ivanov A. A., Myshkov V. G., Sadchikov P. I. Scientific follow-up of industrial sector development [Nauchnoe obespechenie razvitiya otrasli]. Zheleznodorozhnyj transport, 2008, № 7, pp.39–43.
3. Устич П. А., Иванов А. А., Аверин Г. В., Кузнецов М.А, Петров С. В. Некоторые аспекты проблемы нормирования уровня безопасности движения на примере железнодорожного транспорта // Надёжность. – 2011. – № 1 (36). – С. 59–73. Ustich P. A., Ivanov A. A., Averin G. V., Kuznetsov M.A, Petrov S. V. Some aspects of a problem of normalization of traffic safety level at the example of railways [Nekotorye aspekty problemy normirovaniya urovnya bezopasnos t i dvizheniya na pr imere zheleznodorozhnogo transporta]. Nadezhnost’, 2011, № 1 (36), pp.59–73.
4. Вагонное хозяйство: Учебник для вузов ж. – д. транспорта / Под ред. П. А. Устича. – М.: Маршрут, 2003. – 560 с. Ustich P. A. et alt. Ed.by Ustich P. A. Wagon facilities. Textbook for transport universities [Vagonnoe hozyaystvo: Uchebnik dlya vuzov zh. – d. transporta]. Moscow, Marshrut publ., 2003, 560 p.
5. Устич П. А., Иванов А. А., Митюхин В. Б. Концепция интеллектуального управления // Мир транспорта – 2008. – № 3. – С. 4–11. Ustich, Petr A., Ivanov, Alexander A., Mituhin, Vitaly B. Concept of Intellectual Management [Kontseptsiya intellektual’nogo upravleniya]. Mir transporta [World of Transport and Transportation] Journal, 2008, Vol.23, Iss.3, pp. 4–11.
6. Демидович Б. П., Марон И. А. Основы вычислительной математики. – М.: Наука, 1970. – 664 с. Demidovich B. P., Maron I. A. Fundamentals of calculus mathematics [Osnovy vychislitel’noy matematiki]. Moscow, Nauka publ., 1970, 664 p.
7. Устич П. А., Иванов А. А., Мышков В. Г. Дедуктивно-аксиоматический подход к созданию системы интеллектуального управления // Мир транспорта. – 2010. – № 1. – С. 4–13. Ustich, Petr A., Ivanov, Alexander A., Myshkov, Valentine G. Deductive and Axiomatic Approach to the System of Intellectual Management [Deduktivnoaksiomaticheskiy podhod k sozdaniyu sistemy intellektual’nogo upravleniya]. Mir transporta [World of Transport and Transportation] Journal, 2010, Vol.29, Iss.1, pp.4–13.
8. Полярная магистраль / Под ред. Т. Л. Пашковой – М.: Вече, 2007. – 448 с. Pashkova T. L. at alt. Ed. by Pashkova T. L. Polar mainline [Polyarnaya magistral’]. Moscow, Veche publ., 2007, 448 p.
Review
For citations:
Ustich P.A., Ivanov A.A., Chernyshova L.M. MODEL OF SOLUTION OF OPTIMIZATION PROBLEMS. World of Transport and Transportation. 2014;(1):6-16.