ON TWO ANNIVERSARIES OF ONE CLASSICAL WORK L.V. KANTOROVICH (FROM THE HISTORY OF ECONOMIC AND MATHEMATICAL DIRECTION)
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ON TWO ANNIVERSARIES OF ONE CLASSICAL WORK L.V. KANTOROVICH (FROM THE HISTORY OF ECONOMIC AND MATHEMATICAL DIRECTION)
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S042473880000616-6-1
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Article
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16-28
Abstract
The article deals with the classic results of research on the potential optimal fl ows in linear nets obtained by Kantorovich in 1939, but published in 1949 (with Gavurin M.C.). Then the classic Kantorovich results are referred to the nonlinear nets. The models and algorithms of the flow optimization in the non-linear nets at the fi xed and at the higher technical level of its elements are proposed.
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01.10.2009
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Arsenov V.I. (1967): Otsenka variantov razvitiya transportnoj seti s pomosch'yu metodov linejnogo programmirovaniya. V sb.: “Trudy IKTP”. Vyp. 3. M.: IKTP.
Belousova N.I., Bushanskij S.P., Vasil'eva E.M. i dr. (2004): Sovershenstvovanie teoreticheskikh osnov, modelej i metodov optimizatsii razvitiya seti avtomobil'nykh dorog. V sb.: “Komp'yuternyj audit”. № 3.
Belousova N.I., Bushanskij S.P., Vasil'eva E.M. i dr. (2008): Informatsionnaya tekhnologiya sinteza slozhnykh setevykh struktur nestatsionarnoj rossijskoj ehkonomiki: modeli, algoritmy, programmnaya realizatsiya // Audit i finansovyj analiz. № 1.
Dubovitskij A.Ya., Milyutin A.A. (1965): Zadachi na ehkstremum pri nalichii ogranichenij // Zh. vychislitel'noj mat. i mat. fiz. № 3.
Vasil'eva E.M., Levit B.Yu., Livshits V.N. (1981): Nelinejnye transportnye zadachi na setyakh. M.: Fin. i stat.
Vasil'eva E.M., Livshits V.N. (1989): Raboty L.V. Kantorovicha v oblasti resheniya setevykh transportnykh zadach i razvitie ego idej v SSSR. V sb.: “Ehkonomiko-matematicheskie modeli i metody”. Voronezh: Izd-vo Voronezhskogo un-ta.
Gibshman A.E. (1965): Zadachi na ehkstremum pri nalichii ogranichenij // Vestnik VNIIZhTa. № 6.
Ermol'ev Yu.M., Mel'nik I.M. (1967): Optimal'nye neodnorodnye potoki i voprosy razvitiya setej. V sb.: “Trudy Pervoj Vsesoyuznoj konferentsii po optimizatsii i modelirovaniyu transportnykh setej”. Kiev: Izd-vo Instituta kibernetiki AN USSR.
Ermol'ev Yu.M., Mel'nik I.M. (1968): Ehkstremal'nye zadachi na grafakh. V sb.: “Trudy Pervoj Vsesoyuznoj konferentsii po optimizatsii i modelirovaniyu transportnykh setej”. Kiev: Naukova Dumka. Itogi konkursa programm (1985): Itogi konkursa programm postroeniya matritsy kratchajshikh rasstoyanij “Transport–83” // Ehkonomika i mat. metody. T. 21. Vyp. 3.
Kantorovich V.L. (1989): Pervaya rukopis' po linejnomu programmirovaniyu. V sb.: “Ehkonomiko-matematicheskie modeli i metody”. Voronezh: Izd-vo Voronezhskogo un-ta.
Kantorovich L.V. (1942): O peremeschenii mass // Dokl. AN SSSR. Novaya seriya. T. 37. № 7–8.
Kantorovich L.V., Gavurin M.K. (1949): Primenenie matematicheskikh metodov v voprosakh analiza gruzopotokov. V sb.: “Problemy povysheniya ehffektivnosti raboty transporta”. M.; L.: Izd-vo AN SSSR.
Kantorovich L.V. (1959): Ehkonomicheskij raschet nailuchshego ispol'zovaniya resursov. M.: Izd-vo AN SSSR.
Kantorovich L.V. (1989a): O nekotorykh matematicheskikh problemakh ehkonomiki promyshlennosti, sel'skogo khozyajstva i transporta. V sb.: “Ehkonomiko-matematicheskie modeli i metody”. Voronezh: Izd-vo Voronezhskogo un-ta.
Kantorovich L.V. (1989b): Problemy ehffektivnogo ispol'zovaniya i razvitiya transporta. M.: Nauka.
Kovshov G.N., Nesterov E.P. (1965): Operativnye i perspektivnye setevye zadachi. M.: Izd-vo TsEhMI AN SSSR.
Kozin B.S., Kozlov I.T. (1964): Vybor skhem ehtapnogo razvitiya zheleznodorozhnykh linij. M.: Transport.
Levit B.Yu. (1971): Algoritmy poiska kratchajshikh putej na grafe: Trudy Instituta gidrodinamiki SO AN SSSR. V sb.: “Modelirovanie protsessov upravleniya”. Vyp. 4. Novosibirsk: Izd-vo Instituta
gidrodinamiki.
Levit B.Yu., Livshits V.N. (1972): Nelinejnye setevye transportnye zadachi. M.: Transport.
Livshits V.N. (1967): O primenenii matematicheskikh metodov pri vybore optimal'noj skhemy razvitiya transportnoj seti. V sb.: “Trudy Pervoj Vsesoyuznoj konferentsii po optimizatsii i modelirovaniyu transportnykh setej”. Kiev: Izd-vo Instituta kibernetiki AN USSR.
Livshits V.N. (1969): Optimal'noe raspredelenie neodnorodnykh potokov po nelinejnoj transportnoj seti // Izvestiya AN SSSR. Seriya “Ehnergetika i transport”. № 1.
Livshits V.N., Pozamantir Eh.I. (1969): Reshenie nelinejnykh mnogoproduktovykh transportnykh zadach. V sb.: “Poisk ehkstremuma”. Tomsk: Izd-vo Tomskogo un-ta.
Livshits V.N. (1986): Sistemnyj analiz ehkonomicheskikh protsessov na transporte. M.: Transport.
Lur'e A.L. (1964): O matematicheskikh metodakh resheniya zadachi na optimum pri planirovanii sotsialisticheskogo khozyajstva. M.: Nauka.
Mokrousova N.I. (1963): Optimal'noe planirovanie perevozok na seti s ogranicheniyami propusknykh sposobnostej. V sb.: “Trudy IKTP”. Vyp. 1. M.: IKTP.
Nesterov E.P. (1962): Transportnye zadachi linejnogo programmirovaniya. M.: Transport.
Romanovskij I.V. (1962): Ob ehkvivalentnosti razlichnykh postanovok transportnoj zadachi // Uspekhi mat. nauk. T. 17. Vyp. 3.
Tolstoj A.N. (1939): Metody ustraneniya neratsional'nykh perevozok pri planirovanii // Sotsialisticheskij transport. № 9.
Tolstoj A.N. (1941): Metody ustraneniya neratsional'nykh perevozok pri sostavlenii operativnykh planov. M.: Transzheldorizdat.

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