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The frequency assignment problem: A solution via nonlinear programming

Author

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  • J. David Allen
  • Richard V. Helgason
  • Jeffery L. Kennington

Abstract

This paper gives a mathematical programming model for the problem of assigning frequencies to nodes in a communications network. The objective is to select a frequency assignment which minimizes both cochannel and adjacent‐channel interference. In addition, a design engineer has the option to designate key links in which the avoidance of jamming due to self interference is given a higher priority. The model has a nonconvex quadratic objective function, generalized upper‐bounding constraints, and binary decision variables. We developed a special heuristic algorithm and software for this model and tested it on five test problems which were modifications of a real‐world problem. Even though most of the test problems had over 600 binary variables, we were able to obtain a near optimum in less than 12 seconds of CPU time on a CDC Cyber‐875.

Suggested Citation

  • J. David Allen & Richard V. Helgason & Jeffery L. Kennington, 1987. "The frequency assignment problem: A solution via nonlinear programming," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(1), pages 133-139, February.
    • Handle: RePEc:wly:navres:v:34:y:1987:i:1:p:133-139
    DOI: 10.1002/1520-6750(198702)34:13.0.CO;2-W
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    References listed on IDEAS

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    1. M. Collins & L. Cooper & R. Helgason & J. Kennington & L. LeBlanc, 1978. "Solving the Pipe Network Analysis Problem Using Optimization Techniques," Management Science, INFORMS, vol. 24(7), pages 747-760, March.
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    Cited by:

    1. Charles H. Reilly & Clark A. Mount‐Campbell & Fernando Mata & Eric K. Walton & Eric A. Aebker & Curt A. Levis, 1991. "A two‐phase procedure for allotting geostationary orbital locations to communications satellites," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(6), pages 779-797, December.

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