Next-fit packs a list and its reverse into the same number of bins

  • Authors:

  • David C Fisher

  • Affiliations:

  • Department of Mathematics, Harvey Mudd College, Claremont, CA 91711, USA

  • Venue:
  • Operations Research Letters
  • Year:
  • 1988

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Abstract

Suppose the next-fit algorithm packs {x"1, x"2, ..., x"n} into k identical bins. Under modest assumptions about what fits into a bin, we prove that next-fit also packs {x"n, ..., x"2, x"1} into k bins. Thus, the next-fit decreasing algorithm uses the same number of bins as a next-fit increasing algorithm.