Abstract
Stochastics affects the optimal design of a network. This paper examines the single-source single-commodity stochastic network design problem. We characterize the optimal designs under demand uncertainty and compare with the deterministic counterparts to outline the basic structural differences. We do this partly as a basis for developing better algorithms than are available today, partly to simply understand what constitutes robust network designs.
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Acknowledgments
This project was supported in part by Grant 171007/V30 from The Research Council of Norway. While working on this project, T.G. Crainic was the NSERC Industrial Research Chair on Logistics Management, ESG UQAM, and Adjunct Professor with the Department of Computer Science and Operations Research, Université de Montréal, and the Department of Economics and Business Administration, Molde University College, Norway. Partial funding for this project has been provided by the Natural Sciences and Engineering Council of Canada (NSERC), through its Industrial Research Chair and Discovery Grants programs.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Thapalia, B.K., Wallace, S.W., Kaut, M. et al. Single source single-commodity stochastic network design. Comput Manag Sci 9, 139–160 (2012). https://doi.org/10.1007/s10287-010-0129-0
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DOI: https://doi.org/10.1007/s10287-010-0129-0