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The Cartographer
A linear approximation algorithm for the BPP with the best possible absolute approximation ratio
September 20, 2015 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Abdolahad Noori Zehmakan, Mojtaba Eslahi
arXiv ID
1509.06048
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.DM
Citations
2
Venue
arXiv.org
Last Checked
4 months ago
Abstract
The Bin Packing Problem is one of the most important Combinatorial Optimization problems in optimization and has a lot of real-world applications. Many approximation algorithms have been presented for this problem because of its NP-hard nature. In this article also a new creative approximation algorithm is presented for this important problem. It has been proven that the best approximation ratio and the best time order for the Bin Packing Problem are 3/2 and O(n), respectively unless P=NP. The presented algorithm in this article has the best possible factors, O(n) and 3/2.
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