NDLI: Building Steiner trees with incomplete global knowledge

Content Provider	IEEE Xplore Digital Library
Author	Karget, D.R. Minkoff, M.
Copyright Year	2000
Description	Author affiliation: Lab. for Comput. Sci., MIT, Cambridge, MA, USA (Karget, D.R.)
Abstract	A networking problem of present-day interest is that of distributing a single data item to multiple clients while minimizing network usage. Steiner tree algorithms are a natural solution method, but only when the set of clients requesting the data is known. We study what can be done without this global knowledge, when a given vertex knows only the probability that any other client wishes to be connected, and must simply specify a fixed path to the data to be used in case it is requested. Our problem is an example of a class of network design problems with concave cost functions (which arise when the design problem exhibits economies of scale). In order to solve our problem, we introduce a new version of the facility location problem: one in which every open facility is required to have some minimum amount of demand assigned to it. We present a simple bicriterion approximation for this problem, one which is loose in both assignment cost and minimum demand, but within a constant factor of the optimum for both. This suffices for our application. We leave open the question of finding an algorithm that produces a truly feasible approximate solution.
Starting Page	613
Ending Page	623
File Size	1030643
Page Count	11
File Format	PDF
ISBN	0769508502
ISSN	02725428
DOI	10.1109/SFCS.2000.892329
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2000-11-12
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Cost function Laboratories Computer science Economies of scale Algorithm design and analysis Degradation Joining processes Bandwidth
Content Type	Text
Resource Type	Article

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