Parallel approximation algorithms for bin packing
نویسندگان
چکیده
منابع مشابه
Parallel Approximation Algorithms for Bin Packing
We study the parallel complexity of polynomial heuristics for the bin packing problem. We show that some well-known (and simple) methods like first-fit-decreasing are P-complete, and it is hence very unlikely that they can be efficiently parallelized. On the other hand, we exhibit an optimal NC algorithm that achieves the same performance bound as does FFD. Finally, we discuss parallelization o...
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Simchi-Levi (Naval Res. Logist. 41 (1994) 579–585) proved that the famous bin packing algorithms FF and BF have an absolute worst-case ratio of no more than 4 , and FFD and BFD have an absolute worst-case ratio of 3 2 , respectively. These algorithms run in time O(n log n). In this paper, we provide a linear time constant space (number of bins kept during the execution of the algorithm is const...
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The Bin Packing Problem is one of the most important optimization problems. In recent years, due to its NP-hard nature, several approximation algorithms have been presented. It is proved that the best algorithm for the Bin Packing Problem has the approximation ratio 3/2 and the time orderO(n), unlessP=NP. In this paper, first, a -approximation algorithm is presented, then a modification to FFD ...
متن کاملApproximation algorithms for a hierarchically structured bin packing problem
In this paper we study a variant of the bin packing problem in which the items to be packed are structured as the leaves of a tree. The problem is motivated by document organization and retrieval. We show that the problem is NP-hard and we give approximation algorithms for the general case and for the particular case in which all the items have the same size.
متن کاملImproved Approximation for Vector Bin Packing
We study the d-dimensional vector bin packing problem, a well-studied generalization of bin packing arising in resource allocation and scheduling problems. Here we are given a set of d-dimensional vectors v1, . . . , vn in [0, 1] , and the goal is to pack them into the least number of bins so that for each bin B, the sum of the vectors in it is at most 1 in every dimension, i.e., || ∑ vi∈B vi||...
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ژورنال
عنوان ژورنال: Information and Computation
سال: 1989
ISSN: 0890-5401
DOI: 10.1016/0890-5401(89)90003-5