Abstract. We prove that the First Fit bin packing algorithm is stable under the input distribution. U{k − 2,k} for all k ≥ 3, settling an open question from ...

Apr 3, 2000 · We prove that the First Fit bin packing algorithm is stable under the input distribution U{k−2, k} for all k≥3, settling an open question ...

In this paper we extend this approach to analyze First Fit and a new bin packing algorithm, called Random Fit, under discrete uniform distributions. First Fit ...

In this paper we extend this approach to analyze First Fit and a new bin pack- ing algorithm, called Random Fit, under discrete uni- form distributions. First ...

Average-case analyses of first fit and random fit bin packing · Contents. Random Structures & Algorithms. Volume 16, Issue 3 · PREVIOUS ARTICLE. On random ...

In this paper we give tighter bounds than were previously known for the performance of the bin packing algorithms Bets Fit and First Fit.

Average Case Analyses of First Fit and Random Fit Bin Packing. We prove that the First Fit bin packing algorithm is stable under the input distribution ...

This paper reviews selected, illustrative results in this area of research, and discusses desirable extensions and open problems.

FIRST FIT: place next item in lowest indexed bin into which it ts (FF). This is an `on-line' algorithm. .3 .2 .2 .4.

In the optimal packing, the weight of each bin is at most 17/12; · In the First-Fit packing, the average weight of each bin is at least 5/6 = 10/12.