Soft Constraints in Integer Linear Programs
نویسنده
چکیده
Here Y is the feasible region for the structures. We use the standard approach to break the structure into a collection of parts and extract features from them. Let each yi ∈ y correspond to a part in the structure. That is the inference variable yi is an indicator for the existence of the i th part in the structure. Let the feature function Φ decompose into a sum of features for each part. That is, we have
منابع مشابه
High Fidelity Interval Assignment
Quadrilateral meshing algorithms impose certain constraints on the number of intervals or mesh edges of the curves bounding a surface. When constructing a conformal mesh of a collection of adjoining surfaces, the constraints for all of the surfaces must be simultaneously satisfied. These constraints can be formulated as an integer linear program. Not all solutions to this problem are equally de...
متن کاملAnalyzing Infeasible Mixed-Integer and Integer Linear Programs
Algorithms and computer-based tools for analyzing infeasible linear and nonlinear programs have been developed in recent years, but few such tools exist for infeasible mixed-integer or integer linear programs. One approach that has proven especially useful for infeasible linear programs is the isolation of an Irreducible Infeasible Set of constraints (IIS), a subset of the constraints defining ...
متن کاملStochastic Programs with First-Order Dominance Constraints Induced by Mixed-Integer Linear Recourse
We propose a new class of stochastic integer programs whose special features are dominance constraints induced by mixed-integer linear recourse. For these models, we establish closedness of the constraint set mapping with the underlying probability measure as parameter. In the case of finite probability spaces, the models are shown to be equivalent to large-scale, block-structured, mixedinteger...
متن کاملLecture 1 — 27 January, 2014: ``1. Linear relaxations of integer programs.''
This lecture is a sort of scaled down demo of the rest of the course. Here we see that we can express decisions and optimization problems by the means of integer programs. This translation works forNP-hard problems, thus there cannot be efficient algorithms to solve integer programs unless P = NP, which is considered by many to be very unlikely1. 1 Most of the hardness results we will see durin...
متن کاملDis-equality Constraints in Linear/integer Programming
We have proposed an extension to the deenition of general integer linear programs (ILP) to accept dis-equality constraints explicitly. A new class of logical variables is introduced to transform the extended ILP in general form to standard form. Branch and Bound algorithm is modiied to solve this new class of ILP.
متن کاملSolving Linear Programs with Complementarity Constraints using Branch-and-Cut
A linear program with linear complementarity constraints (LPCC) requires the minimization of a linear objective over a set of linear constraints together with additional linear complementarity constraints. This class has emerged as a modeling paradigm for a broad collection of problems, including bilevel programs, Stackelberg games, inverse quadratic programs, and problems involving equilibrium...
متن کامل