3 papers
math.MG2022
Small polygons with large area
Christian Bingane, Michael J. Mossinghoff
A polygon is \textit{small} if it has unit diameter. The maximal area of a small polygon with a fixed number of sides is not known when is even and . We determine…
math.OC2019
Tight-and-cheap conic relaxation for the AC optimal power flow problem
Christian Bingane, Miguel F. Anjos, Sébastien Le Digabel
The classical alternating current optimal power flow problem is highly nonconvex and generally hard to solve. Convex relaxations, in particular semidefinite, second-order cone, con…
math.OC2018
Tight-and-cheap conic relaxation for the optimal reactive power dispatch problem
Christian Bingane, Miguel F. Anjos, Sébastien Le Digabel
The optimal reactive power dispatch (ORPD) problem is an alternating current optimal power flow (ACOPF) problem where discrete control devices for regulating the reactive power, su…