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Error Bounds and the Applicability of the Greedy Solution to the Coin-Changing Problem

Author

Listed:
  • B. N. Tien

    (Burroughs Corporation, San Diego, California)

  • T. C. Hu

    (University of California, La Jolla, California)

Abstract

Necessary and sufficient conditions have been given that characterize the data for which a greedy algorithm solves the coin-changing problem. In this paper we study the problem of maximum percentage error when the greedy solution does not work. We also generalize a result of Johnson and Kernighan to the case for which each coin is of different weight.

Suggested Citation

  • B. N. Tien & T. C. Hu, 1977. "Error Bounds and the Applicability of the Greedy Solution to the Coin-Changing Problem," Operations Research, INFORMS, vol. 25(3), pages 404-418, June.
    • Handle: RePEc:inm:oropre:v:25:y:1977:i:3:p:404-418
    DOI: 10.1287/opre.25.3.404
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    Cited by:

    1. Mathur, Kamlesh & Venkateshan, Prahalad, 2007. "A new lower bound for the linear knapsack problem with general integer variables," European Journal of Operational Research, Elsevier, vol. 178(3), pages 738-754, May.

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