set packing problem, method of regular partitions, numerical methods
Main publications:
S. V. Tikhovskaya, M. F. Korbut, “Two-grid algorithm for a system of singularly perturbed reaction-diffusion equations on Shishkin mesh”, IV International Scientific and Technical Conference “Mechanical Science and Technology Update” (MSTU-2020) (Omsk, Russian Federation, 17.03 – 19.03.2020), Journal of Physics: Conference Series, 1546, 2020, 012104 , 8 pp.
S. V. Tikhovskaya, M. F. Korbut, “Two-grid algorithm for the solution of singularly perturbed two-parameter problem on Shishkin mesh”, 12th International Scientific and Technical Conference on Applied Mechanics and Systems Dynamics (AMSD 2018) (Omsk, Russian Federation, 13.11 – 15.11.2018), Journal of Physics: Conference Series, 1210, 2019, 012142 , 8 pp.
M. F. Korbut, Issledovanie i reshenie zadach ob upakovke mnozhestva na osnove L-razbieniya i leksikograficheskoi optimizatsii, Diss. kand. fiz.-matem. nauk, Omskii filial Instituta matematiki im. Soboleva SO RAN, Omsk, 2013 , 129 pp. www.sscc.ru/Diss_sov/D02_2013.10.08.html
A. A. Kolokolov, M. F. Korbut, “Reshenie zadachi ob upakovke mnozhestva s ogranicheniyami blochnoi struktury”, Omskii nauchnyi vestnik, 2013, no. 1(117), 29–33
A. A. Kolokolov, M. F. Korbut, “Issledovanie odnogo klassa zadach ob upakovke mnozhestva”, Vestnik Omskogo universiteta, 2012, no. 4, 21–26
A. A. Kolokolov, T. G. Orlovskaya, M. F. Rybalka, “Issledovanie algoritmov tselochislennogo programmirovaniya s ispolzovaniem regulyarnykh razbienii i unimodulyarnykh preobrazovanii”, Avtomatika i telemekhanika, 2012, no. 2, 178–190
S. V. Tikhovskaya, M. F. Korbut, “Two-grid algorithm for a system of singularly perturbed reaction-diffusion equations on Shishkin mesh”, IV International Scientific and Technical Conference “Mechanical Science and Technology Update” (MSTU-2020) (Omsk, Russian Federation, 17.03 – 19.03.2020), Journal of Physics: Conference Series, 1546, 2020, 012104 , 8 pp.
2019
2.
S. V. Tikhovskaya, M. F. Korbut, “Two-grid algorithm for the solution of singularly perturbed two-parameter problem on Shishkin mesh”, 12th International Scientific and Technical Conference on Applied Mechanics and Systems Dynamics (AMSD 2018) (Omsk, Russian Federation, 13.11 – 15.11.2018), Journal of Physics: Conference Series, 1210, 2019, 012142 , 8 pp.
A. A. Kolokolov, M. F. Korbut, “Reshenie zadachi ob upakovke mnozhestva s ogranicheniyami blochnoi struktury”, Omskii nauchnyi vestnik, 2013, no. 1(117), 29–33
4.
M. F. Korbut, Reshenie zadach ob upakovke mnozhestva s ispolzovaniem posledovatelnoi optimizatsii i perebora L-klassov, Preprint, OmGU, Omsk, 2013 , 24 pp.
5.
M. F. Korbut, Issledovanie i reshenie zadach ob upakovke mnozhestva na osnove L-razbieniya i leksikograficheskoi optimizatsii, Diss. kand. fiz.-matem. nauk, Omskii filial Instituta matematiki im. Soboleva SO RAN, Omsk, 2013 , 129 pp. www.sscc.ru/Diss_sov/D02_2013.10.08.html
6.
M. F. Korbut, Issledovanie i reshenie zadach ob upakovke mnozhestva na osnove L-razbieniya i leksikograficheskoi optimizatsii, Avtoreferat dissertatsii, Omsk, 2013 , 16 pp. www.sscc.ru/Diss_sov/Korbut.pdf
2012
7.
A. A. Kolokolov, M. F. Korbut, “Issledovanie odnogo klassa zadach ob upakovke mnozhestva”, Vestnik Omskogo universiteta, 2012, no. 4, 21–26
8.
A. A. Kolokolov, T. G. Orlovskaya, M. F. Rybalka, “Issledovanie algoritmov tselochislennogo programmirovaniya s ispolzovaniem regulyarnykh razbienii i unimodulyarnykh preobrazovanii”, Avtomatika i telemekhanika, 2012, no. 2, 178–190
A. A. Kolokolov, M. F. Rybalka, “Analiz algoritmov perebora L-klassov dlya resheniya zadachi ob upakovke mnozhestva”, XIV Vserossiiskaya konferentsiya “Matematicheskoe programmirovanie i prilozheniya”, Informatsionnyi byulleten # 12 (Ekaterinburg, 2011 g.), Ekaterinburg, 2011, 187
10.
M. F. Rybalka, “Analiz nekotorykh algoritmov dlya zadachi ob upakovke mnozhestva s matritsei blochnoi struktury”, Trudy XV Baikalskoi mezhdunarodnoi shkoly-seminara “Metody optimizatsii i ikh prilozheniya” (Irkutsk, 2011 g.), 4, Irkutsk, 2011, 197-202
11.
A. A. Kolokolov, T.G. Orlovskaya, M.F. Rybalka, “Analysis of some integer programming algorithms based on the method of regular partitions”, Abstracts of II International conference “Optimization and applications” (OPTIMA-2011) (Chernogoriya, 2011 g.), VTs RAN, Moskva, 2011, 133–136
2010
12.
A. A. Kolokolov, M. F. Rybalka, “Analiz i reshenie odnogo klassa zadach ob upakovke mnozhestva”, Diskretnaya optimizatsiya i issledovanie operatsii: Materialy Ros. konf. (Novosibirsk, 2010 g.), Izd-vo Instituta matematiki, 2010, 95
2009
13.
M. F. Rybalka, “Reshenie nekotorykh zadach ob upakovke mnozhestva”, Molodezh tretego tysyacheletiya: XXXIII regionalnaya nauchno-prakticheskaya studencheskaya konferentsiya, Tezisy dokladov (Omsk, 14 aprelya – 16 maya 2009 g.), UDK 378.1-057.875+001.18 BBK Ch 484(2)7e43 M 754, ISBN 978-5-7779-1077-6, Izd-vo Om. gos. un-ta, Omsk, 2009, 260–261omsu.ru/science/materialy-konferentsiy/2009/
14.
A. A. Kolokolov, M. F. Rybalka, “Razrabotka i analiz algoritmov resheniya zadachi ob upakovke mnozhestva s ispolzovaniem L-razbieniya”, Trudy Vserossiiskoi konferentsii “Problemy optimizatsii i ekonomicheskie prilozheniya” (Omsk, 2009), Poligraficheskii tsentr KAN, 2009, 138
15.
A. A. Kolokolov, M. F. Rybalka, “Issledovanie i reshenie zadachi ob upakovke mnozhestva blochnoi struktury”, Dinamika sistem, mekhanizmov i mashin: materialy VII Mezhd. n.-t. konferentsii (Omsk, 2009), #3, OmGTU, 2009, 55–59
2020
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