0449000 20240103210933.920160302235959.9 000369421300002 84939622354 10.1051/ro/2015009 20 s. P cav_un_epca*02548790399-0559501 (2016)19-38 Deregulated electricity market production bounds mathematical program with complementarity constraints M-stationarity calmness cav_un_auth*0298685 Aussel D. FR cav_un_auth*0220207 Červinka Michal Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0320910 Marechal M. CL GAP402/12/1309 GA ČR cav_un_auth*0284931 GA201/09/1957 GA ČR cav_un_auth*0253042 A multi-leader-common-follower game formulation has been recently used by many authors to model deregulated electricity markets. In our work, we first propose a model for the case of electricity market with thermal losses on transmission and with production bounds, a situation for which we emphasize several formulations based on different types of revenue functions of producers. Focusing on a problem of one particular producer, we provide and justify an MPCC reformulation of the producer’s problem. Applying the generalized differential calculus, the so-called M-stationarity conditions are derived for the reformulated electricity market model. Finally, verification of suitable constraint qualification that can be used to obtain first order necessary optimality conditions for the respective MPCCs are discussed. 2016 BA 3 RVO:67985556 http://hdl.handle.net/11104/0257828 cav_un_auth*0320887 University of Perpignan, Lab. PROMES FR cav_un_auth*0320888 Centro de Modelamiento Matematico, Santiago CL S 2 Article Operations Research Management Science OPERATIONSRESEARCH&MANAGEMENTSCIENCE 0.609 0.235 8.3 0.00037 0.196 240 0.280 Q3 0.463 68 Q4 3.797 10.2 Q4 Q3 10.241 2016 84939622354 SCOPUS 000369421300002 WOS cav_un_epca*0254879 R A I R O - Operations Research 0399-0559 1290-3868 Roč. 50 č. 1 2016 19 38