How often should you clean your room?
Combinatorics
2015-09-02 v2 Probability
Abstract
We introduce and study a combinatorial optimization problem motivated by the question in the title. In the simple case where you use all objects in your room equally often, we investigate asymptotics of the optimal time to clean up in terms of the number of objects in your room. In particular, we prove a logarithmic upper bound, solve an approximate version of this problem, and conjecture a precise logarithmic asymptotic.
Cite
@article{arxiv.1305.1984,
title = {How often should you clean your room?},
author = {Kimball Martin and Krishnan Shankar},
journal= {arXiv preprint arXiv:1305.1984},
year = {2015}
}
Comments
28 pages, minor changes, now in color with 2 graphs