Probabilistic analysis of online bin coloring algorithms via stochastic comparison

Abstract

This paper proposes a new method for probabilistic analysis of online algorithms. It is based on the notion of stochastic dominance. We develop the method for the online bin coloring problem introduced in [15]. Using methods for the stochastic comparison of Markov chains we establish the result that the performance of the online algorithm is stochastically better than the performance of the algorithm for any number of items processed. This result gives a more realistic picture than competitive analysis and explains the behavior observed in simulations. © 2008 Springer-Verlag Berlin Heidelberg.