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Generalized dynamic storage allocation
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.
Cited literature [15 references]
https://hal.inria.fr/hal-01188897
Contributor : Coordination Episciences Iam <>
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
Contributor : Coordination Episciences Iam <>
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
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dmtcs-16-3-14.pdf
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