V.Yu. Ilichev – Ph.D.(Eng.), Associate Professor, 

Department «Heat Engines and Hydraulic Machines», Kaluga branch of the Bauman MSTU

E-mail: patrol8@yandex.ru

I.V. Chukhraev – Ph.D.(Eng.), Associate Professor, Head of Department «Information Systems and Networks»,  Kaluga branch of the Bauman MSTU

E-mail: chukhraev@bmstu-kaluga.ru

A.I. Chukhraeva – Student, 

Department «Organization and Management of Production», Kaluga branch of the Bauman MSTU

E-mail: hhxpk@mail.ru0

Methods of linear programming are widely applied from the middle of the 20th century to a solution of the different tasks demanding achievement of a maximum or a minimum of value of any target function at change of values of dependent variables. Most often, achievements of the greatest cost efficiency by cost minimization aim, or maximizing arrived.

In article application of a method of extreme linear programming with use of ADP equipment for a solution of an applied problem of redistribution of flows of natural gas of branches of the gas transmission system is considered. This redistribution of gas flows between suppliers and consumers needs to be carried out so that to provide the maximum profit for suppliers and not to be beyond restrictions on throughputs of pipelines.

The Search of a Solution function implementing computing methods of linear programming within use of the electronic spreadsheets Microsoft Office Excel is applied to a solution of a task. According to references data for drawing up the calculation table containing all original values are collected. As variables gas supply expenses to different consumers on different branches of gas transmission network are selected. Varying the specified variables with use of a method of linear programming it is possible to achieve achievement of extreme value of target function – a maximum of profit on implementation of natural gas, minus expenses on its transportation on branches of gas transmission network. Besides, in cells of the table formulas for the partial description of the restrictions imposed on the calculated gas pipeline system are presented. Other restrictions are described in the form of inequalities in the Search of a Solution window.

By results of the made calculations conclusions on the private solved task are drawn, recommendations about further application and improvement of the considered method for a solution of problems of redistribution of gas flows in gas transmission networks and for other similar tasks are made.

The conducted researches are relevant as allow to increase efficiency and profitability of operation of pipeline systems of Russia, both large, and regional. Taking into account further improvement the described technique should allow to solve more successfully the tasks set by governing bodies of the state within national projects.

1. Korzhavyi A.P. Problemy zarubezhnoi i otechestvennoi netraditsionnoi elektroenergetiki. Naukoemkie tekhnologii. 2012. T. 13. № 2. S. 73−78. (In Russian).
2. Pat. RF № 2638232. Ustroistvo dlya preobrazovaniya vetra. Shkilev V.D., Korzhavyi A.P., Fedorenko E.I., Bukreev I.P.; prioritet ot 01.11.2016. (In Russian).
3. Pat. RF № 2651389. Ustroistvo dlya podsvetki vodopadov. Shkilev V.D., Zhinov A.A., Korzhavyi A.P.; prioritet ot 30.12.2016. (In Russian).
4. Korzhavyi A.P., Lysenko L.V., Logashev O.V., Shatalov V.K. Kontseptsiya ispolzovaniya atomnykh energeticheskikh ustanovok dlya razrabotki, dobychi i transportirovki resursov mirovogo okeana. Naukoemkie tekhnologii. 2017. T. 18. № 7. S. 51−56. (In Russian).
5. Deryugina E.O., Chukhraev I.V., Kozeeva O.O. Programmnoe modelirovanie prognozirovaniya khimicheskikh svoistv na osnove strukturnoi teorii. Vestnik obrazovatelnogo konsortsiuma «Srednerusskii universitet». Informatsionnye tekhnologii. 2018. № 2(12). S. 31−34. (In Russian).
6. Drach V.E., Korneev A.A., Chukhraev I.V. Modelirovanie elektricheskikh skhem v sovremennykh SAPR. Elektromagnitnye volny i elektronnye sistemy. 2017. T. 22. № 3. S. 36−41. (In Russian).
7. Bosova I.Yu., Orlov Yu.N., Sementsova V.A. Raschet pokazatelei ekonomicheskoi effektivnosti neftegazovykh proektov v nestatsionarnykh stsenariyakh vneshnikh uslovii. Preprinty IPM im. M.V. Keldysha. 2010. № 19. 26 s. (In Russian).
8. Seleznev V.E., Aleshin V.V., Pryalov S.N. Osnovy chislennogo modelirovaniya magistralnykh truboprovodov. Pod red. V.E. Selezneva. M.: MAKS Press. 2009. 436 s. (In Russian).
9. Vovk V.S., Novikov A.I., Glagolev A.I., Orlov Yu.N., Bychkov V.K., Udalov V.A. Mirovaya industriya i rynki szhizhennogo prirodnogo gaza: prognoznoe modelirovanie. M.: OOO «Gazprom ekspo». 2009. 312 s. (In Russian).
10. Lungu K.N. Lineinoe programmirovanie. Rukovodstvo k resheniyu zadach. M.: Fizmatlit. 2009. 132 s. (In Russian).
11. Prosanov I.Yu. Matematicheskie modeli v teorii upravleniya i issledovanie operatsii. Ucheb. posobie. KHabarovsk: DVGUPS. 2009. 214 s. (In Russian).
12. Brocke J., Medling J. Business Process Management Cases: Digital Innovation and Business Transformation in Practice. Springer. 2018. 610 p.
13. Bolshe vsekh v Evrope «Gazpromu» platyat makedontsy i polyaki. URL = https://iz.ru/news/544100 (data obrashcheniya: 27.08.2019). (In Russian).
14. Mitrova T., Sobko A. Odin god do chasa «Ch»: v poiskakh kompromissa po ukrainskomu gazovomu tranzitu. URL = https://energy.skolkovo.ru/downloads/documents/SEneC/Research/SKOLKOVO_EneC_RU_ukr_tran_gas_01122018.pdf (data obrashcheniya: 27.08.2019). (In Russian).
15. Seleznev V.E., Pryalov S.N. Tekhnologii vysokotochnogo kompyuternogo modelirovaniya dlya upravleniya zhiznennymi tsiklami truboprovodnogo transporta. Trudy pyatoi Mezhdunar. konf. «Upravlenie razvitiem krupnomasshtabnykh sistem». Uchrezhdenie RAN institut problem upravleniya im. V.A. Trapeznikova. M.: RAN. 2011. S. 16−25. (In Russian).
16. Ilichev V.Yu., Yurik E.A., Antipov V.S. Ispolzovanie metodov prediktivnoi analitiki dlya obrabotki signalov s datchikov chastoty vrashcheniya rotornykh mashin. Nauchnoe obozrenie. Tekhnicheskie nauki. 2019. № 4. S. 22−26. (In Russian).