Polyhedral techniques in combinatorial optimization I: Theory
نویسندگان
چکیده
منابع مشابه
Polyhedral Techniques in Combinatorial Optimization I: Theory
Combinatorial optimization problems appear in many disciplines ranging from management and logistics to mathematics, physics, and chemistry. These problems are usually relatively easy to formulate mathematically, but most of them are computationally hard due to the restriction that a subset of the variables have to take integral values. During the last two decades there has been a remarkable pr...
متن کاملPolyhedral techniques in combinatorial optimization
Generally, combinatorial optimization problems are easy to formulate, but hard to solve. The most successfull approaches, cutting plane algorithms and column generation, rely on the (mixed) integer linear programming formulation of a problem. The theory of polyhedra, i.e., polyhedral combinatorics, is the foundation of these techniques. This manuscript intends to give an overview of polyhedral ...
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The polyhedral approach is one of the most powerful techniques available for solving hard combinatorial optimization problems. The main idea behind the technique is to consider the linear relaxation of the integer combinatorial optimization problem, and try to iteratively strengthen the linear formulation by adding violated strong valid inequalities, i.e., inequalities that are violated by the ...
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The polyhedral approach is one of the most powerful techniques available for solving hard combinatorial optimization problems. The main idea behind the technique is to consider the linear relaxation of the integer combinatorial optimization problem, and try to iteratively strengthen the linear formulation by adding violated strong valid inequalities , i.e., inequalities that are violated by the...
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ژورنال
عنوان ژورنال: Statistica Neerlandica
سال: 1996
ISSN: 0039-0402,1467-9574
DOI: 10.1111/j.1467-9574.1996.tb01478.x