منابع مشابه
Linear time-approximation algorithms for bin packing
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...
متن کاملBin Packing Problem: a Linear Constant- Space -approximation Algorithm
Since the Bin Packing Problem (BPP) is one of the main NP-hard problems, a lot of approximation algorithms have been suggested for it. It has been proven that the best algorithm for BPP has the approximation ratio of and the time order of ( ), unless = . In the current paper, a linear approximation algorithm is presented. The suggested algorithm not only has the best possible theoretical factor...
متن کاملAnalysis of a Compound bin Packing Algorithm
while w(d) = 4=15 and we conclude that, in any event, w(B 3) 1. Case 3. Suppose jB 3 j = 4. B 3 cannot contain an X 1 item, since 1=2 + 3(1=5) > 1. Neither can it contain two X 2 items, since 2(1=3) + 2(1=5) > 1. Similarly, it cannot contain four X 3 items, since each has size greater than 1/4. However, if it contains three items of type X 3 and one of type X 4 , then w(B 3) 3(4=15) + 1=5 = 1. ...
متن کاملA Three-dimensional Bin Packing Algorithm
In this paper an approximation algorithm for the three-dimensional bin packing problem is proposed and its performance bound is investigated. To obtain such a bound a modified bin packing algorithm is considered for a two-dimensional problem with bounded bin and its area utilization is estimated. Finally, a hard example gives a lower bound of the performance bound. '
متن کاملBin Packing with Linear Usage Costs
Bin packing is a well studied problem involved in many applications. The classical bin packing problem is about minimising the number of bins and ignores how the bins are utilised. We focus in this paper, on a variant of bin packing that is at the heart of efficient management of data centres. In this context, servers can be viewed as bins and virtual machines as items. The efficient management...
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ژورنال
عنوان ژورنال: Journal of Computer and System Sciences
سال: 2000
ISSN: 0022-0000
DOI: 10.1006/jcss.1999.1667