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College of Business, San Francisco State University, 1600 Holloway Avenue, San Francisco, California 94132, USA, and Bell Laboratories, Lucent Technologies, Holmdel, New Jersey 07733, USA
This paper presents a quantitative model for telecommunication network installation by companies in the broadband-access business, specialized to the fixed-wireless case. Under stochastic demand modeled using scenarios, we maximize the expected demand coverage subject to a budget constraint on hub installation, and technological constraints on demand coverage by installed hubs. There are multiple hub types, differing in costs and capacities. We present a practical greedy heuristic based on the budgeted maximum-coverage problem and analyze its worst-case performance. For special cases with a single hub type or a single demand scenario, we show that a guarantee of 1 1/e or 63.2% applies to our greedy heuristic. For the general case we develop a data-dependent performance guarantee. Through computational experiments, we show that the greedy heuristics empirical performance is, on average, within 2% of the optimal expected demand coverage.
Krannert School of Management, Purdue University, West Lafayette, Indiana 47907, USA
College of Business, University of Cincinnati, P.O. Box 210130, Cincinnati, Ohio 45221, USA
rbollapragada{at}yahoo.com
li14{at}mgmt.purdue.edu
uday.rao{at}uc.edu
Key words: telecommunications; broadband access; fixed-wireless; location-allocation; network planning; stochastic programming; greedy approximation algorithms
History: received February 2003;
revised August 2004;
accepted November 2004.
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