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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > MULTI-OBJECTIVE OPTIMIZATION:
Reports tagged with Multi-Objective Optimization:
TR05-029 | 2nd March 2005
Frank Neumann, Marco Laumanns

Speeding Up Approximation Algorithms for NP-hard Spanning Forest Problems by Multi-objective Optimization

Revisions: 1

We give faster approximation algorithms for the
generalization of two NP-hard spanning tree problems. First,
we investigate the problem of minimizing the degree of
minimum spanning forests. The task is to compute for each
number of connected components a minimum spanning forest
whose degree is as small as possible. Fischer
more >>>


TR07-027 | 2nd February 2007
Tobias Friedrich, Jun He, Nils Hebbinghaus, Frank Neumann, Carsten Witt

Approximating Covering Problems by Randomized Search Heuristics Using Multi-Objective Models

The main aim of randomized search heuristics is to produce good approximations of optimal solutions within a small amount of time. In contrast to numerous experimental results, there are only a few theoretical results on this subject.
We consider the approximation ability of randomized search for the class of ... more >>>


TR10-031 | 4th March 2010
Christian Gla├čer, Christian Reitwie├čner, Heinz Schmitz, Maximilian Witek

Hardness and Approximability in Multi-Objective Optimization

We systematically study the hardness and the approximability of combinatorial multi-objective NP optimization problems (multi-objective problems, for short).

We define solution notions that precisely capture the typical algorithmic tasks in multi-objective optimization. These notions inherit polynomial-time Turing reducibility from multivalued functions, which allows us to compare the solution notions and ... more >>>




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