Abstract : Dynamic Storage Allocation is a problem concerned with storing items that each have weight and time restrictions. Approximate algorithms have been constructed through online coloring of interval graphs. We present a generalization that uses online coloring of tolerance graphs. We utilize online-with-representation algorithms on tolerance graphs, which are online algorithms in which the corresponding tolerance representation of a vertex is also presented. We find linear bounds for the online-with-representation chromatic number of various classes of tolerance graphs and apply these results to a generalization of Dynamic Storage Allocation, giving us a polynomial time approximation algorithm with linear performance ratio.
https://hal.inria.fr/hal-01188897 Contributor : Coordination Episciences IamConnect in order to contact the contributor Submitted on : Monday, August 31, 2015 - 5:02:56 PM Last modification on : Thursday, September 7, 2017 - 1:03:42 AM Long-term archiving on: : Tuesday, December 1, 2015 - 10:40:58 AM