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“Balls into Bins” — A Simple and Tight Analysis

  • Martin Raab
  • Angelika Steger
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1518)

Abstract

Suppose we sequentially throw m balls into n bins. It is a natural question to ask for the maximum number of balls in any bin. In this paper we shall derive sharp upper and lower bounds which are reached with high probability. We prove bounds for all values of m(n)n/polylog(n) by using the simple and well-known method of the first and second moment.

Keywords

Binomial Distribution Moment Method Load Balance Problem Tail Bound Chernoff Bound 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Martin Raab
    • 1
  • Angelika Steger
    • 1
  1. 1.Institut für InformatikTechnische Universität MünchenMünchen

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