NDLI: An edge in time saves nine: LP rounding approximation algorithms for stochastic network design

Content Provider	IEEE Xplore Digital Library
Author	Gupta, A. Ravi, R. Sinha, A.
Copyright Year	2004
Description	Author affiliation: Dept. of Comput. Sci., Carnegie Mellon Univ., Pittsburgh, PA, USA (Gupta, A.)
Abstract	Real-world networks often need to be designed under uncertainty, with only partial information and predictions of demand available at the outset of the design process. The field of stochastic optimization deals with such problems where the forecasts are specified in terms of probability distributions of future data. In this paper, we broaden the set of models as well as the techniques being considered for approximating stochastic optimization problems. For example, we look at stochastic models where the cost of the elements is correlated to the set of realized demands, and risk-averse models where upper bounds are placed on the amount spent in each of the stages. These generalized models require new techniques, and our solutions are based on a novel combination of the primal-dual method truncated based on optimal LP relaxation values, followed by a tree-rounding stage. We use these to give constant-factor approximation algorithms for the stochastic Steiner tree and single sink network design problems in these generalized models.
Sponsorship	IEEE Comput. Soc. Tech. Soc. on Foundations of Comput
Starting Page	218
Ending Page	227
File Size	182245
Page Count	10
File Format	PDF
ISBN	0769522289
ISSN	02725428
DOI	10.1109/FOCS.2004.11
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-10-17
Publisher Place	Italy
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Intelligent networks Approximation algorithms Stochastic processes Algorithm design and analysis Costs Uncertainty Bandwidth Computer science Probability distribution Joining processes
Content Type	Text
Resource Type	Article

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