Technical Note—On Intersection Cuts in Interval Integer Linear Programming

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Natural Intersection Cuts for Mixed-Integer Linear Programs

Intersection cuts are a family of cutting planes for pure and mixedinteger linear programs, developed in the 1970s. Most papers on them consider only cuts that come from so-called maximal lattice-point-free polyhedra. We define a completely different family of intersection cuts, called “natural”. Their key property is that they can be generated very quickly and easily from a simplex tableau. In...

متن کامل

Combinatorial Benders' Cuts for Mixed-Integer Linear Programming

Mixed-Integer Programs (MIP’s) involving logical implications modelled through big-M coefficients, are notoriously among the hardest to solve. In this paper we propose and analyze computationally an automatic problem reformulation of quite general applicability, aimed at removing the model dependency on the big-M coefficients. Our solution scheme defines a master Integer Linear Problem (ILP) wi...

متن کامل

First step immersion in interval linear programming with linear dependencies

‎We consider a linear programming problem in a general form and suppose that all coefficients may vary in some prescribed intervals‎. ‎Contrary to classical models‎, ‎where parameters can attain any value from the interval domains independently‎, ‎we study problems with linear dependencies between the parameters‎. ‎We present a class of problems that are easily solved by reduction to the classi...

متن کامل

Intersection cuts for nonlinear integer programming: convexification techniques for structured sets

We study the generalization of split and intersection cuts from Mixed Integer Linear Programming to the realm of Mixed Integer Nonlinear Programming. Constructing such cuts requires calculating the convex hull of the difference of two convex sets with specific geometric structures. We introduce two techniques to give precise characterizations of such convex hulls and use them to construct split...

متن کامل

Spherical cuts for integer programming problems

Abstract We introduce a new family of valid inequalities for general linear integer programming problems, based on the distance of the relaxed solution to the closest integral point. We show that these are valid cuts, establish some relations with Balas’ intersection cuts, and show that a straightforward cutting plane algorithm derived from either spherical or intersection cuts will in general ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Operations Research

سال: 1977

ISSN: 0030-364X,1526-5463

DOI: 10.1287/opre.25.2.352