The mean-variance (MV) portfolio is typically formulated as a quadratic programming (QP) problem that linearly combines the conflicting objectives of minimizing risk and maximizing expected return through aversion profile parameter. In this formulation, two are expressed in different units, an issue could definitely hamper obtaining more competitive set weights. For example, modification scale ...

Developing a minimum backbone grid in the power system planning is beneficial to improve system’s resilience. To obtain grid, mixed integer linear programming (MILP) model with network connectivity constraints for proposed. In model, some are presented consider practical application requirements. Especially, avoid islands set of based on single-commodity flow formulations proposed ensure grid. ...

We combine mixed integer linear programming (MILP) and constraint programming (CP) to solve planning and scheduling problems. Tasks are allocated to facilities using MILP and scheduled using CP, and the two are linked via logic-based Benders decomposition. Tasks assigned to a facility may run in parallel subject to resource constraints (cumulative scheduling). We solve minimum cost problems, as...