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Explicit solution of partitioning problems over a 1‐dimensional parameter space

Author

Listed:
  • Frank K. Hwang
  • Shmuel Onn
  • Uriel G. Rothblum

Abstract

We consider a class of partitioning problems where the partitioned set is a finite set of real numbers and the objective function of a partition is a function of the vector whose coordinates are the sums of the elements in each part of the given partition (the number of such parts is assumed given). We obtain an explicit solution of such partitioning problem with polynomial complexity bounds. © John Wiley & Sons, Inc. Naval Research Logistics 47: 531–540, 2000

Suggested Citation

  • Frank K. Hwang & Shmuel Onn & Uriel G. Rothblum, 2000. "Explicit solution of partitioning problems over a 1‐dimensional parameter space," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(6), pages 531-540, September.
    • Handle: RePEc:wly:navres:v:47:y:2000:i:6:p:531-540
    DOI: 10.1002/1520-6750(200009)47:63.0.CO;2-K
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    References listed on IDEAS

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    1. A. K. Chakravarty & J. B. Orlin & U. G. Rothblum, 1985. "Consecutive Optimizers for a Partitioning Problem with Applications to Optimal Inventory Groupings for Joint Replenishment," Operations Research, INFORMS, vol. 33(4), pages 820-834, August.
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