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A two‐phase procedure for allotting geostationary orbital locations to communications satellites

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Listed:
  • Charles H. Reilly
  • Clark A. Mount‐Campbell
  • Fernando Mata
  • Eric K. Walton
  • Eric A. Aebker
  • Curt A. Levis

Abstract

We consider the problem of allotting locations in the geostationary orbit to communication satellites, subject to angle of elevation and electromagnetic interference constraints. An optimization framework is used as a means of finding feasible allotment plans. Specifically, we present a two‐phase solution procedure for the satellite location problem (SLP). The objective in SLP is to allot geostationary orbital locations to satellites so as to minimize the sum of the absolute differences between the locations prescribed for the satellites and corresponding specified desired locations. We describe two heuristics, an ordering procedure and a k‐permutation algorithm, that are used in tandem to find solutions to SLP. Solutions to a worldwide example problem with 183 satellites serving 208 service areas are summarized.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:38:y:1991:i:6:p:779-797
    DOI: 10.1002/nav.3800380601
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    References listed on IDEAS

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    1. Baybars, Ilker, 1982. "Optimal assignment of broadcasting frequencies," European Journal of Operational Research, Elsevier, vol. 9(3), pages 257-263, March.
    2. Reilly, Charles H. & Mata, Fernando, 1990. "Calculating solution-value bounds for a geostationary-satellite location problem," European Journal of Operational Research, Elsevier, vol. 47(1), pages 96-114, July.
    3. 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.
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