The Relative Worst Order Ratio for On-Line Algorithms

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Abstract

We consider a new measure for the quality of on-line algorithms, the relative worst order ratio, using ideas from the Max/Max ratio [2] and from the random order ratio [8]. The new ratio is used to compare on-line algorithms directly by taking the ratio of their performances on their respective worst orderings of a worst-case sequence. Two variants of the bin packing problem are considered: the Classical Bin Packing Problem and the Dual Bin Packing Problem. Standard algorithms are compared using this new measure. Many of the results obtained here are consistent with those previously obtained with the competitive ratio or the competitive ratio on accommodating sequences, but new separations and easier results are also shown to be possible with the relative worst order ratio.
Original languageEnglish
Title of host publication5th Italian Conference on Algorithms and Complexity (CIAC 2003)
EditorsR., red. Petreschi, G., red. Persiano, R., red. Silvestri
Volume2653
PublisherSpringer
Publication date2003
Pages58-69
Publication statusPublished - 2003
Event5th Italian Conference on Algorithms and Complexity (CIAC 2003) - , Italy
Duration: 24. Aug 2010 → …
Conference number: 5

Conference

Conference5th Italian Conference on Algorithms and Complexity (CIAC 2003)
Number5
Country/TerritoryItaly
Period24/08/2010 → …
SeriesLecture Notes in Computer Science
Volume2653

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