We consider the design of a transport network in a multinode market assuming time-dependent nonstationary demand. A gradient algorithm is proposed for capacity optimization of transport lines in the network. Numerical results are reported.
Similar content being viewed by others
References
W. Hogan, Competitive Electricity Market Design: A Wholesale Primer, Harvard University (1998).
M. R. Davidson and others, “A mathematical model of a competitive wholesale electricity market in Russia,” Izv. Akad. Nauk, Teoriya i Sistemy Upravleniya, No. 3, 72–83 (2004).
A. A. Vasin and E. A. Dailova, “Models of network market development,” Abstracts of Papers at EKOMOD-2014 National Conference (2014).
A. A. Vasin and E. A. Dailova, “A two-node market under imperfect competition,” Matem. Teoriya Igr i ee Prilozhen., 2, No. 3, 150–152 (2014).
A. A. Vasin, “Optimal transmission capacity of commodity transport system in a two-node market,” Vest. MGU, series 15: Prikl. Matem. Kibernet., No. 3, 40–45 (2014).
A. Vasin, M. Dolmatova, and P. Kartunova, “Optimization of energetic markets’ transport infrastructure,” VIII Moscow Int. Conf. on Operations Research (ORM2016), Moscow, 17–22 Oct. 2015, Proceedings, Vol. I, MAKS Press, Moscow (2016).
A. G. Kovalenko, Mathematical Models and Methods of Analysis of Distributed Markets. Development of Models and Methods in the Theory of Hydraulic Networks, Optimization Methods, and Multiobjective Function Analysis, Palmarium Academic Publishing, Saarbrucken, Germany (2013).
E. A. Dailova, Game-Theoretical Models of Forward and Networks Markets of Homogeneous Commodities [in Russian], Dissertation, MGU, Moscow.
A. Vasin and M. Dolmatova, “Optimization of transmission capacities for multinodal markets,” Procedia Computer Science, 91, 238–244 (2016).
A. A. Vasin and V. V. Morozov, Game Theory and Models in Mathematical Economics [in Russian], MAKS Press, Moscow (2005).
S. Stoft, Power System Economics: Designing Markets for Electricity [Russian translation], Mir, Moscow (2006).
V. V. Fedorov, Numerical Maximin Methods [in Russian], Nauka, Moscow (1979).
V. A. Il’in and E. G. Poznyak, Foundations of Mathematical Analysis, Part 1 [in Russian], 7th ed., Fizmatlit, Moscow (2005).
B. T. Polyak, An Introduction to Otimization [in Russian], Nauka, Moscow (1983).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Matematika i Informatika, No. 55, 2017, pp. 74–90.
Rights and permissions
About this article
Cite this article
Vasin, A.A., Lesik, I.A. & Grigor’eva, O.M. Designing a Transport System for a Multinode Competitive Market with Variable Demand. Comput Math Model 29, 211–227 (2018). https://doi.org/10.1007/s10598-018-9402-9
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10598-018-9402-9