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1. Gasnikov A.V., Dvurechenskij P.E., Dorn Yu.V., Maksimov Yu.V. Chislennye metody poiska ravnovesnogo raspredeleniya potokov v modeli Behkmana i modeli stabil'noj dinamiki // Matem. modelirovanie. 2016. T. 28. № 10. S. 40–64. arXiv:1506.00293
2. Patriksson M. The traffic assignment problem. Models and methods. Utrecht, Netherlands: VSP, 1994.
3. Nesterov Y., de Palma A. Stationary dynamic solutions in congested transportation. Networks: Summary and Perspectives // Networks Spatial Econ. 2003. № 3(3). P. 371–395.
4. Gasnikov A.V., Dorn Yu.V., Nesterov Yu.E, Shpirko S.V. O trekhstadijnoj versii modeli statsionarnoj dinamiki transportnykh potokov // Matem. modelirovanie. 2014. T. 26. № 6. C. 34–70. arXiv:1405.7630
5. Vaschenko M.P., Gasnikov A.V., Molchanov E.G., Pospelova L.Ya., Shananin A.A. Vychislimye modeli i chislennye metody dlya analiza tarifnoj politiki zheleznodorozhnykh gruzoperevozok. M.: VTs RAN, 2014. arXiv:1501.02205
6. Kurosh A.G. K urs vysshej algebry. M.: Nauka, 1965.
7. Nemirovski A. Lectures on modern convex optimization analysis, algorithms, and engineering applications. Philadelphia: SIAM, 2013. http://www2.isye.gatech.edu/~nemirovs/Lect_ModConvOpt.pdf
8. Duchi J.C., Shalev-Shwartz S., Singer Y., Tewari A. Composite objective mirror descent // COLT. 2010. P. 14–26. http://www.cs.utexas.edu/users/ambuj/research/duchi10composite.pdf
9. Nesterov Yu.E. Modeli ravnovesnykh transportnykh potokov i algoritmy ikh nakhozhdeniya. Vystuplenie na seminare “Matematicheskoe modelirovanie transportnykh potokov” v MTsNMO 14 aprelya 2012 g. http://www.mathnet.ru/php/seminars.phtml?option_lang=rus&presentid=6433
10. Nesterov Y. Primal-dual subgradient methods for convex problems // Math. Program. Ser. B. 2009. V. 120(1). P. 261–283.
11. Nesterov Yu. Complexity bounds for primal-dual methods minimizing the model of objective function // CORE Discussion Papers. 2015/03. 2015.
12. Anikin A.S., Gasnikov A.V., Dvurechenskij P.E., Tyurin A.I., Chernov A.V. Dvojstvennye podkhody k zadacham minimizatsii sil'no vypuklykh funktsionalov prostoj struktury pri affinnykh ogranicheniyakh // Zh. vychisl. matem. i matem. fiz. 2017. T. 57. № 8. S. 1270–1284. arXiv:1602.01686
13. Nemirovski A., Onn S., Rothblum U.G. Accuracy certificates for computational problems with convex structure // Mathematics of Operation Research. 2010. V. 35. № 1. P. 52–78.
14. Nesterov Yu., Shpirko S. Primal-dual subgradient method for huge-scale linear conic problem // SIAM J. Optim. 2014. V. 24. № 3. P. 1444–1457. http://www.optimization-online.org/DB_FILE/2012/08/3590.pdf
15. Gasnikov A.V., Nesterov Yu.E. Universal'nyj metod dlya zadach stokhasticheskoj kompozitnoj optimizatsii // Zh. vychisl. matem. i matem. fiz. 2018. T. 58. № 1. S. 52–69. arXiv:1604.05275
16. Ahuja R.K., Magnati T.L., Orlin J.B. Network flows: Theory, algorithms and applications. Prentice Hall, 1993.
17. Bast H., Delling D., Goldberg A., Muller-Hannemann M., Pajor T., Sanders P., Wagner D., Werneck R.F. Route planning in transportation networks // Microsoft Technical Report. 2015. arXiv:1504.05140
18. https://github.com/vikalijko/transport