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  • 1
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    Alternative mathematical programming formulations for FSS synthesis (1986)
    In:  CASI
    Details
    Publication Date: 2019-06-28
    Description: A variety of mathematical programming models and two solution strategies are suggested for the problem of allocating orbital positions to (synthesizing) satellites in the Fixed Satellite Service. Mixed integer programming and almost linear programming formulations are presented in detail for each of two objectives: (1) positioning satellites as closely as possible to specified desired locations, and (2) minimizing the total length of the geostationary arc allocated to the satellites whose positions are to be determined. Computational results for mixed integer and almost linear programming models, with the objective of positioning satellites as closely as possible to their desired locations, are reported for three six-administration test problems and a thirteen-administration test problem.
    Keywords: COMPUTER PROGRAMMING AND SOFTWARE
    Type: NASA-CR-180030 , NAS 1.26:180030 , TR-716548-6
    Format: application/pdf
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    NASA TECHNICAL REPORTS
  • 2
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    Engineering calculations for solving the orbital allotment problem (1988)
    In:  CASI
    Details
    Publication Date: 2019-06-28
    Description: Four approaches for calculating downlink interferences for shaped-beam antennas are described. An investigation of alternative mixed-integer programming models for satellite synthesis is summarized. Plans for coordinating the various programs developed under this grant are outlined. Two procedures for ordering satellites to initialize the k-permutation algorithm are proposed. Results are presented for the k-permutation algorithms. Feasible solutions are found for 5 of the 6 problems considered. Finally, it is demonstrated that the k-permutation algorithm can be used to solve arc allotment problems.
    Keywords: COMPUTER PROGRAMMING AND SOFTWARE
    Type: NASA-CR-184607 , NAS 1.26:184607 , ESL-718688-7
    Format: application/pdf
    Location Call Number Expected Availability
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    NASA TECHNICAL REPORTS
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