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An Evolutionary Approach to the Multi-Level Capacitated Minimum Spanning Tree Problem

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Telecommunications Network Design and Management

Part of the book series: Operations Research/Computer Science Interfaces Series ((ORCS,volume 23))

Abstract

Capacitated network design is a crucial problem to telecommunications network planners. In this paper we consider the Multi-Level Capacitated Minimum Spanning Tree Problem (MLCMST), a generalization of the well-known Capacitated Minimum Spanning Tree Problem. We present a genetic algorithm, based on the notion of grouping, that is quite effective in solving large-scale problems to within 10% of optimality.

Partially supported by Center for Satellite and Hybrid Communication Networks, University of Maryland

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Gamvros, I., Raghavan, S., Golden, B. (2003). An Evolutionary Approach to the Multi-Level Capacitated Minimum Spanning Tree Problem. In: Anandalingam, G., Raghavan, S. (eds) Telecommunications Network Design and Management. Operations Research/Computer Science Interfaces Series, vol 23. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3762-2_6

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  • DOI: https://doi.org/10.1007/978-1-4757-3762-2_6

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-5326-1

  • Online ISBN: 978-1-4757-3762-2

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