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Minimum Spillage Sequencing

Author

Listed:
  • Craig A. Tovey

    (School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332)

  • Gideon Weiss

    (School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332 and Tel Aviv University, Tel Aviv, Israel)

  • James R. Wilson

    (Pritsker and Associates, West Lafayette, Indiana)

Abstract

The minimum spillage sequencing problem, which arises in real-time satellite signal data processing, requires a set of numbers to be arranged so as to minimize the "overflow" of the partial sums above an upper bound. We subject several heuristics to worst-case analysis, average-case analysis, and computational testing. The results demonstrate that the problem, though NP-hard, can be handled effectively. One of the highlights of the analysis is a tight upper bound on the fraction of overflow when the problem is solved to optimality, together with an O(n log n) "safe" heuristic which never exceeds this bound.

Suggested Citation

  • Craig A. Tovey & Gideon Weiss & James R. Wilson, 1988. "Minimum Spillage Sequencing," Management Science, INFORMS, vol. 34(3), pages 306-330, March.
    • Handle: RePEc:inm:ormnsc:v:34:y:1988:i:3:p:306-330
    DOI: 10.1287/mnsc.34.3.306
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