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Valid inequalities for mixed integer linear programs [PDF]

open access: yesMathematical Programming, 2007
This tutorial presents a theory of valid inequalities for mixed integer linear sets. It introduces the necessary tools from polyhedral theory and gives a geometric understanding of several classical families of valid inequalities such as lift-and-project cuts, Gomory mixed integer cuts, mixed integer rounding cuts, split cuts and intersection cuts, and
openaire   +2 more sources

First-Order Mixed Integer Linear Programming [PDF]

open access: yesCoRR, 2012
Mixed integer linear programming (MILP) is a powerful representation often used to formulate decision-making problems under uncertainty. However, it lacks a natural mechanism to reason about objects, classes of objects, and relations. First-order logic (FOL), on the other hand, excels at reasoning about classes of objects, but lacks a rich ...
Geoffrey J. Gordon   +2 more
openaire   +2 more sources

A Hybrid IP/GA Approach to the Parallel Production Lines Scheduling Problem

open access: yesDiscrete Dynamics in Nature and Society, 2016
A special parallel production lines scheduling problem is studied in this paper. Considering the time window and technical constraints, a mixed integer linear programming (MILP) model is formulated for the problem.
Huizhi Ren, Shenshen Sun
doaj   +1 more source

Optimal scheduling of aviation support resources for carrier based aircrafts based on integer linear programming

open access: yesZhongguo Jianchuan Yanjiu, 2019
[Objectives]In order to optimize the scheduling of the aviation support resources for carrier based aircrafts,[Methods]a mixed integer linear programming model for optimal scheduling of aviation support resources was established based on integer linear ...
Tan Dali   +3 more
doaj   +1 more source

Repetitive construction processes scheduling using mixed-integer linear programming

open access: yesBudownictwo i Architektura, 2015
Many construction projects contain several identical or similar units, such as floors in multistory buildings, houses in housing developments, sections of pipelines or highways.
Piotr Jaśkowski
doaj   +1 more source

Mixed Integer Linear Programming for Feature Selection in Support Vector Machine [PDF]

open access: yes, 2018
This work focuses on support vector machine (SVM) with feature selection. A MILP formulation is proposed for the problem. The choice of suitable features to construct the separating hyperplanes has been modelled in this formulation by including a budget ...
Labbé, Martine   +2 more
core   +4 more sources

A Finite-Time Cutting Plane Algorithm for Distributed Mixed Integer Linear Programming [PDF]

open access: yes, 2017
Many problems of interest for cyber-physical network systems can be formulated as Mixed Integer Linear Programs in which the constraints are distributed among the agents.
Notarstefano, Giuseppe   +2 more
core   +2 more sources

An optimization framework for solving capacitated multi-level lot-sizing problems with backlogging [PDF]

open access: yes, 2011
This paper proposes two new mixed integer programming models for capacitated multi-level lot-sizing problems with backlogging, whose linear programming relaxations provide good lower bounds on the optimal solution value. We show that both of these strong
Akartunali, Kerem   +3 more
core   +1 more source

Polyhedral Approaches to Mixed Integer Linear Programming [PDF]

open access: yes, 2009
This survey presents tools from polyhedral theory that are used in integer programming. It applies them to the study of valid inequalities for mixed integer linear sets, such as Gomory's mixed integer cuts.
CONFORTI, MICHELANGELO   +2 more
openaire   +2 more sources

Analyzing Infeasible Mixed-Integer and Integer Linear Programs [PDF]

open access: yesINFORMS Journal on Computing, 1999
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 (
Olivier Guieu, John W. Chinneck
openaire   +2 more sources

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