ISSN 2071-8594

Russian academy of sciences

Editor-in-Chief

Gennady Osipov

M.V. Bolgov, A.L. Buber, A.V. Lotov Decision support for strategic decision making on water supply of the Lower Volga River based on Pareto frontier visualization

Abstract.

The paper describes application of visualization of the Pareto frontier in the process of decision making in the framework of the methodology for integrated assessment of environmental problems. Integrated assessment is applied in supporting the choice of long-term strategic decisions on water management of the River Volga while a special attention is given to the problems of environmental sustainability and economic development of the Volga-Akhtuba floodplain. The methodology is outlined, the decision problem is formulated and the integrated mathematical model is described, which provides an opportunity to estimate the reliability of meeting of mutually contradicting requirements to water management. It is shown that application of the Pareto frontier visualization is an effective tool for supporting the decision making on feasible strategic goal for the Volga-Kama reservoir cascade control.

Keywords:

decision support, multi-objective optimization, Pareto frontier visualization, integrated assessment of environmental problems, Volga-Akhtuba floodplain.

PP. 84-97

REFERENCES

1. Clarke L., K. Jiang, K. Akimoto, M. Babiker, G. Blanford, K. Fisher-Vanden, J.-C. Hourcade, V. Krey, E. Kriegler, A. Loschel, D. McCollum, S. Paltsev, S. Rose, P.R. Shukla, M. Tavoni, B.C.C. van der Zwaan, and D.P. van Vuuren. 2014.
Assessing Transformation Pathways // Climate Change 2014: Mitigation of Climate Change. Contribution of Working Group III to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge, United Kingdom, and New York, NY, USA: Cambridge University Press.
2. Moiseev N.N. Matematicheskie zadachi sistemsnogo analiza. 1981. [Mathematical problems of systems analysis] Moscow: Nauka Publs.
3. Moiseev N., Aleksandrov V., Krapivin V., Lotov A., Svirezhev J., and Tarko A. 1983. Global Models. The Biospheric Approach. Collaborative paper CP-83-33. Laxenburg, Austria: International Institute for Applied Systems Analysis.
4. Lotov A.V. 1994. O celostnom rassmotrenii ekologo-ekonomicheskikh problem [On integrated assessment of environmental problems]. Moscow: Computing Centre of Russian Academy of Sciences.
5. Lotov A.V. 1998. Computer-Based Support for Planning and Negotiation on Environmental Rehabilitation of Water Resource Systems. In: D.P. Loucks (ed.) Rehabilitation of Degraded Rivers: Challenges, Issues and Experiences. Boston: Kluwer Academic Publishers. 417-446.
6. Lotov A.V., Bushenkov V.A., Kamenev G.K., Chernykh O.L. 1997. Komp’uter i poisk kompromissa. Metod dostizhimykh celej. [Computer and the search for compromise. Feasible goals method]. Moscow: Nauka Publishers.
7. Lotov A.V. 2002. Komputernaja vizualizacija obolochki Edgvorta-Pareto i eje primenenie v intellectualnykh systemakh podderzhki prinjatija reshenij [Computer visualization of the Edgeworth-Pareto hull and its application in intellectual decision support systems]. Informacionnye tekhnologii i vychislitelnye sistemy [Information technologies and computer systems]. 1:83-100.
8. Lotov A.V., Bourmistrova L.V., Efremov R.V., Bushenkov V.A., Buber A.L., and Brainin N.A. 2005. Experience of Model Integration and Pareto Frontier Visualization in the Search for Preferable Water Quality Strategies. Environmental Modelling and Software. 20(2):243-260.
9. Dietrich J., Schumann A.H., Lotov A.V. 2007. Workflow oriented participatory decision support for integrated river basin planning. In: A. Castelletti and R. Soncini Sessa (eds.) Topics on System Analysis and Integrated Water Resource Management. Amsterdam: Elsevier. 207-221.
10. Lotov A.V., Ryabikov A.I., Buber A.L. 2013. Visualizacija granicy Pareto pri razrabotke pravil upravlenija GES [Pareto frontier visualization in control rule elaboration for a hydropower plant]. Iskusstvennyj intellekt i prinjatie reshenij [Artificial intelligence and decision making]. 1:70-83.
11. Lotov A.V., Ryabikov A.I. 2014. Mnogokriterial’nyj sintez optimal’nogo upravlenija I ego primenenie pri postroenii pravil upravlenija kaskadom gidroelektrostancij [Multiobjective constructing of feed-back optimal control and its application for the development of control rules for a cascade of hydropower plants]. Trudy Instituta matematiki i mekhaniki Uro RAN [Proceedings of Institute for mathematics and mechanics of the Ural branch of Russian Academy of Sciences]. 20(4): 187-203.
12. Lotov A.V., Bushenkov V.A., and Kamenev G.K. 1999. Metod dostizhimykh celej. Matematicheskie osnovy i ecologicheskie prilozhenija [Feasible goals method. Mathematical basis and environmental applications]. New York, USA: Mellen Press.
13. Branke J., Deb K., Miettinen K., Slowinski R. (eds.) 2008. Multiobjective Optimization. Interactive and Evolutionary Approaches. Lecture Notes in Computer Science, V. 5252. Berlin-Heidelberg: Springer.
14. Lotov A.V., Bushenkov V.A., and Kamenev G.K. 2004. Interactive Decision Maps. Approximation and Visualization of the Pareto Frontier. Boston: Kluwer Academic Publishers.
15. Sawaragi Y., Nakayama H., Tanino T. 1985. Theory of multiobjective optimization. Orlando: Academic Press.
16. Lotov A., Bushenkov V., Kamenev G., Camara A., Loucks D. 1998. Water Resource Conflict Resolution Based on Interactive Tradeoffs Display. In: D.P. Loucks (ed.) Rehabilitation of Degraded Rivers: Challenges, Issues and Experiences. Kluwer Academic Publishers: Boston. 447-470.
17. Berezkin V.E., Kamenev G.K., Lotov A.V. 2006. Hybrid Adaptive Methods for Approximating a Nonconvex Multidimensional Pareto Frontier. Computational Mathematics and Mathematical Physics. 46(11): 1918-1931.
18. Berezkin V.E., Lotov A.V., Lotova E.A. 2014. Study of Hybrid Methods for Approximating the Edgeworth-Pareto Hull in Nonlinear Multicriteria Optimization Problems. Computational Mathematics and Mathematical Physics. 54(6): 919-930.
19. Lotov A.V. 2015. Decomposition of the Problem of Approximating the Edgeworth–Pareto Hull. Computational Mathematics and Mathematical Physics. 55(10), p. 1653-1664.
20. Metodicheskie ukazanija po razrabotke pravil ispol’zovanija vodokhranilizhch [Methodological regulations concerning development of rules for reservoir use]. Utverzhdeny prikazom Minprirody Rossii ot 26 janvarya 2011 goda, № 17 [Approved by the order of Ministry of Nature of Russia on 26 January 2011, no.17]. Available at: img.rg.ru/pril/76/46/95/20655.doc
21. Bolgov M.V., Buber A.L., Lotov A.V. 2015. Upravlenije vodnymi resursami Nizhnej Volgi na osnove informacionnoj tekhnologii analisa problem obespechennosti vodopol’zovatelej VKK GES [Water resources control in the Lower Volga River on the basis of information technology for analysis of water user supply reliability in the Volga-Kama cascade of hydropower plants]. Trudy chetvertoj Vserossijskoj nauchnoj konferencii «Fundamental’nye problemy vody i vodnykh resursov» [Proceedings of the fourth All-Russian conference ‘Fundamental problems of water and water resources’]. Moscow: Institute for water problems. P. 481-484.
22. Bolgov M.V., Buber A.L., Lotov A.V., Komarovskij A.A. 2017. Poisk kompromissnykh reshenij pri planirovanii i u