Abstract
A new approach to some optimization problems arising in the transport logistics was proposed. Consideration was given to the fundamental problems of the today logistics such as the problem of optimal arrangement and that of identification and segmentation of the logistic zones. They are solved using the “wave” method which relies on the analogy between the determination of the global extremum of the integral functional and propagation of light in an optically inhomogeneous medium. A numerical algorithm was developed, and the results of calculations presented.
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References
Lukinskii, V.S., Lukinskii, V.V., Malevich, Yu.V., et al., Modeli i metody teorii logistiki (Models and Methods of the Logistic Theory), St. Petersburg: Piter, 2007.
Logistika (Logistics), Anikin, B.A., Ed., Moscow: INFRA-M, 2001.
El’deshtein, Yu.M., Logistika: uchebnik (Logistics: a Textbook), Krasnoyarsk: KGAU, 2006.
Kazakov, A.L. and Pospelov, A.M., Determination of the Optimal Location of the Basic Container Terminal, Transport Urala, 2008, no. 2(17), pp. 57–64.
Gadzhinskii, A.M., Logistika (Logistics), Moscow: Dashkov, 2005, 12th ed.
Mirotin, L.B., Bul’ba, A.V., and Demin, V.A., Logistika, tekhnologiya, proektirovanie skladov, transportnykh uzlov i terminalov (Logistics, Technology, Design of Warehouses, Transport Nodal Points, and Termonals), Rostov-on-Don: Feniks, 2009.
Zhuravskaya, M.A., Tarasyan, V.S., and Bogdanova, A.V., Identification and Segmentation of the Logistic Zones of Utilization of Old Cars on the Basis of the Fuzzy Set Theory, Transport Urala, 2010, no. 3(26), pp. 11–14.
Bashurov, V.V. and Filimonenkova, T.I., Matematicheskie modeli bezopasnosti (Mathematical Models of Safety), Novosibirsk: Nauka, 2009.
Bashurov, V.V., Methods of Geometrical Optics as Applied to the Problems of Object Safety, Vychisl. Tekhn., 2006, vol. 11, no. 4, pp. 23–28.
Gel’fand, I.A. and Fomin, S.V., Variatsionnoe ischislenie (Variational Calculus), Moscow: Nauka, 1961.
Chernorutskii, I.G., Metody optimizatsii i prinyatiya reshenii: uchebnoe posobie (Methods of Optimization and Decision Making: Textbook), St. Petersburg: Lan’, 2001.
El’sgol’ts, L.E., Variatsionnoe ischislenie (Variational Calculus), Moscow: LKI, 2008.
Feynman, R.P., Leighton, R.B., and Sands, V., Feynman Lectures on Physics, 1963, vol. 3. Translated under the title Feinmanovskie lektsii po fizike, Moscow: Editorial URSS, 2004, vol. 3.
Sidorov, A.F., Izbrannye trudy: Matematika. Mekhanika (Selected Works: Mathematics. Mechanics), Moscow: Fizmatlit, 2001.
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Original Russian Text © A.L. Kazakov, A.A. Lempert, 2011, published in Avtomatika i Telemekhanika, 2011, No. 7, pp. 50–57.
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Kazakov, A.L., Lempert, A.A. An approach to optimization in transport logistics. Autom Remote Control 72, 1398–1404 (2011). https://doi.org/10.1134/S0005117911070071
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DOI: https://doi.org/10.1134/S0005117911070071