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Pareto frontier visualization in the development of release rules for hydro-electrical power stations

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Abstract

The problem of development of rules for the water resource management of a hydro-electrical power station is considered. A multi-criteria decision support procedure is proposed, using several criteria for testing the quality of management and describing the interests of various water consumers. Use is made of the model of a system that allows of criterion values for various possible rules, but does not allow an analytical research. The method is based on approximation of the Edgeworth-Pareto hull for the considered multi-objective problem and on the ensuing interactive visualization of the Pareto frontier.

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References

  1. Reznikovskii, A.Sh., Aleksandrovskii, A.Yu., Aturin, V.V., et al., Gidrologicheskie osnovy gidroenergetiki (Hydrological Foundations of Hydroenergetics), Moscow: Energiya, 1979.

    Google Scholar 

  2. Kritskii, S.N. and Menkel’, M.F., Gidrologicheskie osnovy upravleniya vodokhozyaistvennymi sistemami (Hydrological Foundations of Hydroeconomic System Management), Moscow: Nauka, 1982.

    Google Scholar 

  3. Pryazhinskaya, V.G., Yaroshevskii, D.M., and Levit-Gurevich, L.K., Komp’yuternoe modelirovanie v upravlenii vodnymi resursami (Computer Simulation in the Management of Hydro Resources), Moscow: Fizmatlit, 2002.

    Google Scholar 

  4. Khranovich, I.L., Upravlenie vodnymi resursami. Potokovye modeli (The Management of Hydro Resources. Flow Models), Moscow: Nauchnyi Mir, 2001.

    Google Scholar 

  5. Obosnovanie strategii upravleniya svodnymi resursami (Justification of Hydro Resource Management Strategy) Danilov, V.I., Ed., Moscow: Nauchnyi Mir, 2006.

    Google Scholar 

  6. Krasnoshchekov, P.S., Morozov, V.V., and Fedorov, V.V., Decomposition in design problems, Izv. Akad. Nauk. Ser. Tekhn. Kib., 1979, no. 2, pp. 7–17.

    Google Scholar 

  7. Evtushenko, Yu.G. and Potapov, M.A., Methods of digital solution of multicriterial problems, Dokl. Akad. Nauk, 1986, vol. 291, pp. 25–29.

    MathSciNet  Google Scholar 

  8. Shtoier, R., Mnogokriterial’naya optimizatsiya (Multi-criteria Optimization), Moscow: Radio Svyaz’, 1992.

    Google Scholar 

  9. Lotov, A.V., Bushenkov, V.A., Kamenev, G.K., and Chernykh, O.L., Komp’yuter i poisk kompromissa. Metod dostizhimykh tselei (Computer and Compromise Search. Method of Attainable Targets), Moscow: Nauka, 1997.

    Google Scholar 

  10. Deb, K., Multi-Objective Optimization Using Evolutionary Algorithms, Chichester, UK: Wiley, 2001.

    MATH  Google Scholar 

  11. Lotov, A.V., Bushenkov, V.A., and Kamenev, G.K., Interactive Decision Maps, Boston: Kluwer, 2004.

    Book  MATH  Google Scholar 

  12. Loucks, D.P. and van Beek, E., Water Resources Systems Planning and Management. An Introduction to Methods, Models and Applications, Paris: UNESCO and Delft, 2005.

    Google Scholar 

  13. Castelletti, A., Pianosi, F., and Soncini-Sessa, R., Water reservoir control under economic, social and environmental constraints, Automatica, 2008, vol. 44, pp. 1595–1607.

    Article  MATH  MathSciNet  Google Scholar 

  14. Soncini-Sessa, R., Cellina, F., Pianosi, F., and Weber, E., Integrated and Participatory Water Resources Management: Practice, Amsterdam: Elsevier, 2007.

    Google Scholar 

  15. Agasandyan, G.A., Algorithms of construction of dispatcher management rules for cascades of water reservoirs, Vodn. Resur., 1985, no. 5, pp. 34–46.

    Google Scholar 

  16. Bolgov, M.V., Sarmanov, I.O., and Sarmanov, O.V., Markovskie protsessy v gidrologii (Markov Processes in Hydrology), Moscow, 2009.

    Google Scholar 

  17. Larichev, O.I., Ob“ektivnye modeli i sub“ektivnye resheniya (Objective Models and Subjective Solutions), Moscow: Nauka, 1987.

    MATH  Google Scholar 

  18. Lotov, A.V. and Miettinen, K., Visualizing the Pareto frontier, in: Multiobjective Optimization. Interactive and Evolutionary Approaches, Lecture Notes in Computer Science, Branke, J., Deb, K., Miettinen, K., and Slowinski, R., Eds., Berlin: Springer-Verlag, 2008, vol. 5252, pp. 213–244.

    Google Scholar 

  19. Lotov, A.V., Bushenkov, V.A., and Chernykh, O.L., Computer system of support of hydroeconomic strategy search: Structure and experience of use, Nauchn.-Tekhn. Inform. Ser. 2. Inform. Proc. Syst., 1980, no. 3, pp. 1–10.

    Google Scholar 

  20. Lotov, A.V., Bourmistrova, L.V., Efremov, R.V., Bushenkov, V.A., Buber, A.L., and Brainin, N.A., Experience of model integration and Pareto frontier visualization in the search for preferable water quality strategies, Environ. Model. Software, 2005, vol. 20, pp. 243–260.

    Article  Google Scholar 

  21. Castelletti, A., Lotov, A., and Soncini-Sessa, R., Visualization-based multi-criteria improvement of environmental decision-making using linearization of response surfaces, Environ. Model. Software, 2010, vol. 25, pp. 1552–1564.

    Article  Google Scholar 

  22. Lotov, A.V., Kamenev, G.K., and Berezkin, V.E., Approximation and visualization of Pareto frontier for non-convex multycriteria problems, Dokl. Akad. Nauk, 2002, vol. 386, pp. 738–741.

    MathSciNet  Google Scholar 

  23. Berezkin, V.E., Kamenev, G.K., and Lotov, A.V., Hybrid adaptive method for approximating a non-convex multidimensional Pareto frontier, Comp. Math. Math. Phys., 2006, vol. 46, pp. 1918–1931.

    Article  MathSciNet  Google Scholar 

  24. Evtushenko, Yu.G. and Posypkin, M.A., Parallel methods of global optimization problem solution, Trudy 4-oi mezhd. konf. “Parallel’nye vychisleniya i zadachi upravleniya” (PAKO-2008) (Proc. 4th Int. Conf. “Parallel Computations and Problems of Management” (PAKO-2008)), 2008.

    Google Scholar 

  25. Lotov, A., Berezkin, V., Kamenev, G., and Miettinen, K., Optimal control of cooling process in continuous casting of steel using a visualization-based multi-criteria approach, Appl. Math. Model., 2005, vol. 29, pp. 653–672.

    Article  MATH  Google Scholar 

  26. Evtushenko, Yu.G., Metody resheniya ekstremal’nykh zadach i ikh primenenie v sistemakh optimizatsii (Methods of Extreme Problem Solution and Their Application in Optimization Systems), Moscow: Nauka, 1982.

    Google Scholar 

  27. Berezkin, V.E. and Kamenev, G.K., Convergence analysis of two phase methods for approximating the Edgeworth-Pareto hull in nonlinear multicruteria optimization problems, Comp. Math. Math. Phys., 2012, vol. 52, pp. 846–854.

    Article  MathSciNet  Google Scholar 

  28. Voevodin, V.V. and Voevodin, Vl.V., Parallel’nye vychisleniya (Parallel Computations), St. Petersburg: BKhV-Peterburg, 2002.

    Google Scholar 

  29. Korneev, V.D., Parallel’noe programmirovanie v MPI (Parallel Programming in MPI), Moscow-Izhevsk, 2003.

    Google Scholar 

  30. Kamenev, G.K., Lotov, A.V., and Ryabikov, A.I., Application of parallel computations at multi-dimensional Pareto frontier approximation in problem of multi-criteria optimization, Tr. V mezhdunar. konf. “Parallel’nye vychisleniya i zadachi upravleniya” (PACO’2010) (Proc. 5th Int. Conf. “Parallel Computations and Problems of Management” (PACO’2010)), Moscow, 2010.

    Google Scholar 

  31. Ryabikov, A.I., Analiz i realizatsiya dvukhfaznykh metodov nelineinoi mnogokriterial’noi optimizatsii na superkomp’yuterakh (Analysis and Realization of Two-Phase Methods of Nonlinear Multi-Criteria Optimization on Supercomputers), Moscow: Ross. Akad. Nauk, 2009.

    Google Scholar 

  32. Lotov, A., Berezkin, V., Kamenev, G., Miettinen K., Optimal Control of Cooling Process in Continuous Casting of Steel Using a Visualization-Based Multi-Criteria Approach, Applied Mathematical Modelling, vol. 29, no. 7, pp. 653–672.

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Correspondence to A. V. Lotov.

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Original Russian Text © A.V. Lotov, A.I. Ryabikov, A.L. Buber, 2013, published in Iskusstvennyi Intellekt i Prinyatie Reshenii, 2013, No. 1, pp. 95–108.

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Lotov, A.V., Ryabikov, A.I. & Buber, A.L. Pareto frontier visualization in the development of release rules for hydro-electrical power stations. Sci. Tech.Inf. Proc. 41, 314–324 (2014). https://doi.org/10.3103/S0147688214050025

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