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Recoverable Robust Combinatorial Optimization Problems
2013This paper deals with two Recoverable Robust (RR) models for combinatorial optimization problems with uncertain costs. These models were originally proposed by Büsing (2012) for the shortest path problem with uncertain costs. In this paper, we generalize the RR models to a class of combinatorial optimization problems with uncertain costs and provide ...
Adam Kasperski +2 more
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On Approximate Solutions for Combinatorial Optimization Problems
SIAM Journal on Discrete Mathematics, 1990The usefulness of a special kind of approximability-preserving transformations (called continuous reductions) among combinatorial optimization problems is demonstrated. One common measure for the approximability of an optimization problem is its best performance ratio.
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Algorithmic extremal problems in combinatorial optimization
Journal of Algorithms, 1982Abstract An efficient approximation algorithm generator for the generalized maximum ψ-satisfiability problem is presented which produces an efficient approximation algorithm ψ-MAXMEAN∗ for each finite set ψ of relations. The algorithms ψ-MAXMEAN∗ are shown to be best-possible in the class of polynomial algorithms (if P ≠ NP), in both absolute and ...
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Combinatorial Optimization Problems
2014We consider combinatorial optimization problems (COP), i.e., finding extrema of an objective function on a combinatorial space. Many various important applied and theoretical problems of different degree of complexity can be presented as problems in graph theory.
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Color constrained combinatorial optimization problems
Operations Research Letters, 1991Let \(E\) be a finite set and let \(c: E\to Z_ +\) be a non-negative integer cost function. Given subsets \(E_ 1,\dots,E_ K\subseteq E\) (colors) and \(\ell_ 1,\dots,\ell_ K\in Z\), find \(\min\sum_{e\in S}c(e)\) satisfying \(S\in{\mathcal S}\), \(| S\cap E_ k|=\ell_ k\), \(| S\cap\overline{E}_ k|=R-\ell_ k\), \(k=1,\dots,K\), where \(S\subseteq E\), \(
Horst W. Hamacher, Franz Rendl
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Competitive Model for Combinatorial Optimization Problems
200710.1007/978-3-540-69226-3_8 ; Studies in Computational Intelligence ; 53 ; 117 ...
Tang, H., Tan, K.C., Yi, Z.
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An Additive Bounding Procedure for Combinatorial Optimization Problems
Operations Research, 1989We know that the effectiveness of the branch-and-bound algorithms proposed for the solution of combinatorial optimization problems greatly depends on the tightness of the available bounds. In this paper, we consider optimization problems with a linear objective function.
Fischetti Matteo, Toth Paolo
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Metaheuristic algorithms for combinatorial optimization problems
4OR, 2005We present the main results in the author’s Ph.D. thesis (Iori 2004), defended at the University of Bologna in April 2004 and supervised by S. Martello. The thesis is written in English and is available from the author upon request. It proposes exact and metaheuristic algorithms for solving some relevant combinatorial optimization problems, with ...
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Decomposability Conditions of Combinatorial Optimization Problems
2015Combinatorial Optimization Problems COP are generally complex and difficult to solve as a single monolithic problem. Thus, the process to solve the main initial COP may pass through solving intermediate problems and then combining the obtained partial solutions to find initial problem's global solutions.
Marouene Chaieb +2 more
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Preface: Quadratic combinatorial optimization problems
Discrete Optimization, 2022Abraham P. Punnen, Renata Sotirov
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