Geodesic
On computational complexity of the electric power flow optimization problem in market environment
Diskretnyj analiz i issledovanie operacij, Tome 24 (2017) no. 4, pp. 47-59

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Under consideration is the electric power flow optimization problem for an electric power system which typically arises in calculation of electrical power auctions in the “day-ahead” and balancing markets. It was established that the problem of finding a feasible flow in the balancing market is NP-hard in the strong sense even in case of one generator. The problem of finding an optimal flow in the day-ahead market is proved to be NP-hard even with one generator and without controlled cuts. Bibliogr. 10.
Keywords: computational complexity, electric power system, market. 
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     title = {On computational complexity of the electric power flow optimization problem in market environment},
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A. V. Eremeev. On computational complexity of the electric power flow optimization problem in market environment. Diskretnyj analiz i issledovanie operacij, Tome 24 (2017) no. 4, pp. 47-59. http://geodesic.mathdoc.fr/item/DA_2017_24_4_a3/