Lower bounding techniques for the degree-constrained network design problemŞahin, Güvenç and Ahuja, Ravindra K. (2009) Lower bounding techniques for the degree-constrained network design problem. Networks, 53 (4). pp. 334-344. ISSN 0028-3045 This is the latest version of this item. Full text not available from this repository. Official URL: http://dx.doi.org/10.1002/net.20287 AbstractA typical network design problem consists of identifying a subnetwork of a given network that satisfies a set of constraints and minimizes the cost of flow. We consider degree-constrained network design problems where we specify an upper limit on the number of arcs built at each node. We propose two lower bounding techniques using the concept of lower planes. The first lower bound is based on a known lower plane for network design problems; our second lower bound is stronger than the first, yet has the same polynomial computational complexity. We illustrate both lower bounds using a numerical example, test their performance, and present a real-life case study from the area of railroad planning problems.
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