منابع مشابه
Random-order bin packing
An instance of the classical bin packing problem consists of a positive real C and a list L = (a1, a2, ..., an) of items with sizes 0 < s(ai) ≤ C, 1 ≤ i ≤ n; a solution to the problem is a partition of L into a minimum number of blocks, called bins, such that the sum of the sizes of the items in each bin is at most the capacity C. The capacity is just a scaling parameter; as is customary, we pu...
متن کاملBest-fit Bin-packing with Random Order Ecole Normale Supérieure De Lyon Best-fit Bin-packing with Random Order Best-fit Bin-packing with Random Order
Best t is the best known algorithm for on line bin packing in the sense that no algorithm is known to behave better both in the worst case and in the average uniform case In practice Best t appears to perform within a few percent of optimal In this paper we study the expected performance ratio taking the worst case multiset of items L and assuming that the elements of L are inserted in random o...
متن کاملBest-Fit Bin-Packing with Random Order
Best-t is the best known algorithm for on-line bin-packing, in the sense that no algorithm is known to behave better both in the worst case (when Best-t has performance ratio 1.7) and in the average uniform case, with items drawn uniformly in the interval 0; 1] (then Best-t has expected wasted space O(n 1=2 (log n) 3=4)). In practical applications, Best-t appears to perform within a few percent...
متن کاملBin Packing
In the bin packing problem, we get a sequence of packets of size r 1 ; r 2 ; r 3 ; : : :, each r i 1, and we must place the packets into bins of size 1 using as few bins as possible. The size of a bin is the accumulated size of all packets in the bin, and the free capacity of a bin is 1 minus its size.
متن کاملStrip Packing vs. Bin Packing
In this paper we establish a general algorithmic framework between bin packing and strip packing, with which we achieve the same asymptotic bounds by applying bin packing algorithms to strip packing. More precisely we obtain the following results: (1) Any offline bin packing algorithm can be applied to strip packing maintaining the same asymptotic worst-case ratio. Thus using FFD (MFFD) as a su...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2008
ISSN: 0166-218X
DOI: 10.1016/j.dam.2007.11.004