Convergence of optimal stochastic bin packing

  • Authors:

  • Wansoo T Rhee

  • Affiliations:

  • Faculty of Management Sciences, The Ohio State University, Columbus, OH 43210, USA

  • Venue:
  • Operations Research Letters
  • Year:
  • 1985

Quantified Score

Hi-index 0.00

Visualization

Abstract

Consider independent identically distributed random variables (X"i) valued in [0,1]. Let B(n) be the optimal (minimum) number of unit size bins needed to pack n items of size X"1, X"2,...,X"n. We prove that there exists a numerical constant C such that for t 0, Pr(|B(n)-E(B(n))|tn)@? C exp(- t). The constant C does not depend on the distribution of X.