A linear approximation algorithm for the BPP with the best possible absolute approximation ratio
Data Structures and Algorithms
2015-09-22 v1 Discrete Mathematics
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.
Cite
@article{arxiv.1509.06048,
title = {A linear approximation algorithm for the BPP with the best possible absolute approximation ratio},
author = {Abdolahad Noori Zehmakan and Mojtaba Eslahi},
journal= {arXiv preprint arXiv:1509.06048},
year = {2015}
}