Integral column generation for the set partitioning problem
نویسندگان
چکیده
منابع مشابه
Integral Simplex Using Decomposition for the Set Partitioning Problem
Since the 1970s, several authors have studied the structure of the set partitioning polytope and proposed adaptations of the simplex algorithm that find an optimal solution via a sequence of basic integer solutions. Balas and Padberg in 1972 proved the existence of such a sequence with nonincreasing costs, but degeneracy makes it difficult to find the terms of the sequence. This paper uses idea...
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The integral simplex method for set partitioning problems allows only pivots-on-one to be made, which results in a primal all-integer method. In this technical note we outline how to tailor the column generation principle to this method. Because of the restriction to pivots-onone, only local optimality can be guaranteed, and to ensure global optimality we consider the use of implicit enumeratio...
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ژورنال
عنوان ژورنال: EURO Journal on Transportation and Logistics
سال: 2019
ISSN: 2192-4376
DOI: 10.1007/s13676-019-00145-6