Searching for Optimal Integer Solutions to Set Partitioning Problems Using Column Generation
نویسندگان
چکیده
منابع مشابه
All-integer column generation for set partitioning: Basic principles and extensions
Column generation, combined with an appropriate integer programming technique, has shown to be a powerful tool for solving huge integer programs arising in various applications. In these column generation approaches, the master problem is often of a set partitioning type. The set partitioning polytope has the quasi-integrality property, which enables the use of simplex pivots for finding improv...
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We discuss formulations of integer programs with a huge number of variables and their solution by column generation methods, i.e., implicit pricing of nonbasic variables to generate new columns or to prove LP optimality at a node of the branchand-bound tree. We present classes of models for which this approach decomposes the problem, provides tighter LP relaxations, and eliminates symmetry. We ...
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ژورنال
عنوان ژورنال: SSRN Electronic Journal
سال: 2007
ISSN: 1556-5068
DOI: 10.2139/ssrn.1020948