The increasing flexibility of active distribution systems (ADSs) coupled with the high penetration renewable distributed generators (RDGs) leads to increase complexity. It is practical significance achieve largest amount RDG in ADSs and maintain optimal operation. This study establishes an alternating current (AC)/direct (DC) hybrid ADS model that considers dynamic thermal rating, soft open poi...

We propose a class of decisive collective choice rules that rely on linear ordering to partition the majority relation into two acyclic relations. The first these relations is used pare down set feasible alternatives shortlist while second make final from shortlist. Rules in this are characterized by four properties: classical rationality requirements (Sen's Expansion Consistency and Manzini Ma...

We introduce a new concept in column generation for handling complex large scale optimization problems, called two-stage column generation, where columns for the compact and extensive formulation are simultaneously generated. The new framework is specifically conceived for tackling complex problems that cannot be efficiently solved by standard column generation and exploits the relationship bet...