On the Approximability of Trade-offs and Optimal Access of Web Sources

Abstract

We study problems in multiobjective optimization, in which solutions to a combinatorial optimization problem are evaluated with respect to several cost criteria, and we are interested in the trade-off between these objectives (the so-called Pareto curve). We point out that, under very general conditions, there is a polynomially succinct curve that -approximates the Pareto curve, for any > 0. We give a necessary and sufficient condition under which this approximate Pareto curve can be constructed in time polynomial in the size of the instance and 1= . In the case of multiple linear objectives, we distinguish between two cases: When the underlying feasible region is convex, then we show that approximating the multi-objective problem is equivalent to approximating the single-objective problem. If, however, the feasible region is discrete, then we point out that the question reduces to an old and recurrent one: How does the complexity of a combinatorial optimization problem change when its feasible region is intresected with a hyperplane with small coefficients; we report some interesting new findings in this domain. Finally, we apply these concepts and techniques to formulate and solve approximately a cost-time-quality trade-off for optimizing access to the world-wide web, in a model first studied by Etzioni et al [EHJ+] (which was actually the original motivation for this work).

DOI: 10.1109/SFCS.2000.892068

Extracted Key Phrases

02040'02'04'06'08'10'12'14'16
Citations per Year

432 Citations

Semantic Scholar estimates that this publication has 432 citations based on the available data.

See our FAQ for additional information.

Cite this paper

@inproceedings{Papadimitriou2000OnTA, title={On the Approximability of Trade-offs and Optimal Access of Web Sources}, author={Christos H. Papadimitriou and Mihalis Yannakakis}, booktitle={FOCS}, year={2000} }