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English version: Journal of Applied and Industrial Mathematics, 2017, 11:4, 500505 

Volume 24, No 4, 2017, P. 47–59 UDC 519.8
Keywords: computational complexity, electric power system, market. DOI: 10.17377/daio.2017.24.573 Anton V. Eremeev ^{1,2} Received 28 March 2017 References[1] G. I. Atabekov, Teoreticheskie osnovy elektrotekhniki: Lineinye elektricheskie tsepi (Theoretical Foundations of Electrical Engineering: Linear Circuits), Lan’, St. Petersburg, 2009 [Russian].[2] V. M. Gornshtein, D. S. Miroshnichenko, and A. V. Ponomarev, Metody optimizatsii rezhimov energosistem (Methods for Optimization of Power System States) Energiya, Moscow, 1981 [Russian]. [3] M. R. Garey and D. S. Johnson, Computers and Intractability: A Guide to the Theory [4] M. R. Davidson, Yu. V. Dogadushkina, E. M. Kreines, N. M. Novikova, Yu. A. Udal’tsov, and L. V. Shiryaeva, Mathematical model of the competitive wholesale power market in Russia, Izv. Ross. Akad. Nauk, Teor. Sist. Upravl., No. 3, 72–83, 2004 [Russian]. Translated in J. Comput. Syst. Sci. Int., 43, No. 3, 394–405, 2004. [5] M. R. Davidson, Yu. V. Dogadushkina, E. M. Kreines, N. M. Novikova, A. V. Seleznev, Yu. A. Udal’tsov, and L. V. Shiryaeva, Mathematical model of power system management in conditions of a competitive wholesale electric power (capacity) market in Russia, Izv. Ross. Akad. Nauk, Teor. Sist. Upravl., No. 2, 84–94, 2009. Translated in J. Comput. Syst. Sci. Int., 48, No. 2, 243–253, 2009. [6] M. C. Caramanis, R. E. Bohn, and F. C. Schweppe, Optimal spot pricing: Practice and theory, IEEE Trans. Power Appar. Syst., 101, No. 9, 3234–3245, 1982. [7] W. W. Hogan, Contract networks for electric power transmission, J. Regul. Econ., 4, No. 3, 211–242, 1992. [8] R. PalmaBenhke, A. Philpott, A. Jofré, and M. CortésCarmona, Modelling network constrained economic dispatch problems, Optim. Eng., 14, No. 3, 417–430, 2013. [9] M. River, I. J. PérezArriaga, and G. Luengo, JUANAC: A model for computation of spot prices in interconnected power systems, in Proc. 10th Power Syst. Comput. Conf., Graz, Austria, Aug. 19–24, 1990, pp. 254–261, Butterworths, London, 1990. [10] F. C. Schweppe, M. C. Caramanis, R. D. Tabors, and R. E. Bohn, Spot Pricing in Electricity, Kluwer Acad. Publ., Norwell, MA, 1988. 

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