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Integer Programming for Telecommunications

In: Handbook of Optimization in Telecommunications

Author

Listed:
  • Eva K. Lee

    (Georgia Institute of Technology, School of Industrial and Systems Engineering)

  • David P. Lewis

    (Georgia Institute of Technology, School of Industrial and Systems Engineering)

Abstract

This chapter presents an overview of integer programming in the field of telecommunications. Various integer programming models are described, and computational strategies for solving the integer programming instances are summarized. Techniques such as branching variable selection and node selection schemes are discussed; and the concepts of problem preprocessing and reformulation, heuristics, and continuous reduced-cost fixing are outlined. These latter techniques have been shown to be very effective when embedded within a branch-and-bound algorithm. The use of an interior point method as a subproblem solver is also described. Finally, Lagrangian relaxation in the context of solving specific telecommunication instances is analyzed as an alternative relaxation for use within the branch-and-bound tree search environment.

Suggested Citation

  • Eva K. Lee & David P. Lewis, 2006. "Integer Programming for Telecommunications," Springer Books, in: Mauricio G. C. Resende & Panos M. Pardalos (ed.), Handbook of Optimization in Telecommunications, chapter 3, pages 67-102, Springer.
    • Handle: RePEc:spr:sprchp:978-0-387-30165-5_3
    DOI: 10.1007/978-0-387-30165-5_3
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