Abstract
The network design problem with relays (NDPR) arises in many real-life telecommunication and supply chain networks. Similar to the multi-commodity network design problem, a set of commodities is given, and each commodity k is to be routed through single path from the source node s(k) to the sink node t(k). However, an upper bound λ is imposed on the distance that a commodity k can travel on the path from the source node s(k) to the sink node t(k) without visiting special nodes, called relays. For example, in digital telecommunication networks, relays represent points where attenuated communication signals are regenerated. A fixed cost of fi is incurred when a node i is dedicated as a relay, and each edge (i, j) has an installation cost of ci,j and a length of di,j. The NDPR is defined as selecting a set of edges from a given set of candidate edges and determining relay nodes to minimize the network design cost while making sure that each commodity k is routed through a single path on which the distances between the node s(k) and the first relay, between any consecutive relays, and between the last relay and the node t(k) are less than the upper bound λ.
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© 2009 Springer-Verlag Berlin Heidelberg
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Konak, A., Kulturel-Konak, S. (2009). An Integrated Genetic Algorithm and Integer Programming Approach to the Network Design Problem with Relays. In: van Hoeve, WJ., Hooker, J.N. (eds) Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems. CPAIOR 2009. Lecture Notes in Computer Science, vol 5547. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01929-6_30
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DOI: https://doi.org/10.1007/978-3-642-01929-6_30
Publisher Name: Springer, Berlin, Heidelberg
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