On-line bin-packing problem: maximizing the number of unused bins
نویسندگان
چکیده
In this paper, we study the on-line version of the bin-packing problem. We analyze the approximation behavior of an on-line bin-packing algorithm under an approximation criterion called differential ratio. We are interested in two types of results: the differential competitivity ratio guaranteed by the on-line algorithm and hardness results that account for the difficulty of the problem and for the quality of the algorithm developed to solve it. In its off-line version, the bin-packing problem, BP , is better approximated in differential framework than in standard one. our objective is to determine if or not such result exists for the on-line version of BP . keywords: on-line algorithm, bin-packing problem, competitivity ratio.
منابع مشابه
Maximizing the number of unused bins
We analyze the approximation behavior of some of the best-known polynomial-time approximation algorithms for bin-packing under an approximation criterion, called differential ratio, informally the ratio (n − λ(I))/(n − β(I)), where n is the size of the input list, λ(I) is the size of the solution provided by an approximation algorithm and β(I) is the size of the optimal one. This measure has or...
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