Integrating advanced discrete choice models in mixed integer linear optimization
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Branch and cut is today's state-of-the-art method to solve 0/1-integer linear programs. Important for the success of this method is the generation of strong valid inequalities, which tighten the linear programming relaxation of 0/1-IPs and thus allow for e ...
A methodology is proposed to target the retrofit of utility system and heat exchanger network (HEN) of large-scale chemical plants. The methodology is based on the Mixed Integer Linear Programming (MILP) formulation for the optimal site utility integration ...
This report shows how it is possible to solve the problem of the minimization of an objective function composed by the sum of piece-wise affine functions as a Mixed Integer Linear Programming (MILP) problem. ...
The paper focuses on the solution of the minimum loss reconfiguration problem of distribution networks, including embedded generation, by means of a mixed integer linear programming (MILP) model. The proposed model takes into account typical operating cons ...
The design and operating of energy systems are key issues for matching the energy supply and consumption. Several optimization methods based on the Mixed Integer Linear Programming (MILP) have been developed for this purpose. However, due to the uncertaint ...
In this paper, a novel model for single-bit internal quantizer Sigma Delta-modulators is presented. It is shown that this model can be used for an exact stability prediction of these systems. Furthermore, it is explained how the necessary computations can ...
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This mapping problem has to be solved in many application scenarios. In the automotive industry, for example, the implementation of car functions involves distributed task sets running on multiple electronic control units (ECU) with bus-based inter-task co ...
Long-term planning for energy systems is often based on deterministic economic optimization and forecasts of fuel prices. When fuel price evolution is underestimated, the consequence is a low penetration of renewables and more efficient technologies in fav ...
The usual approach to dealing with Mixed Logical Semidefinite Programs (MLSDPs) is through the “Big-M” or the convex hull reformulation. The Big-M approach is appealing for its ease of modeling, but it leads to weak convex relaxations when used in a Branch ...