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The proof of FFD(L)≤11/9OPT(L) +7/9 被引量:2
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作者 LI Rongheng, YUE Minyi1. Department of Mathematics, Hunan Normal University, Changsha 410081, China 2. Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080, China 《Chinese Science Bulletin》 SCIE EI CAS 1997年第15期1262-1265,共4页
THE one-dimensional bin-packing problem is defined as follows: for a given list L={p<sub>1</sub>, p<sub>2</sub>,…, P<sub>n</sub>}, where 0【p<sub>i</sub>≤1 denotes the... THE one-dimensional bin-packing problem is defined as follows: for a given list L={p<sub>1</sub>, p<sub>2</sub>,…, P<sub>n</sub>}, where 0【p<sub>i</sub>≤1 denotes the item and its size as well, we are to pack all the items in-to bins, each of which has a capacity 1, and the goal is to minimize the number of bins used.The first-fit-decreasing (FFD) algorithm is a famous approximate algorithm for the bin-pack-ing problem. The FFD algorithm first sorts all the list into non-increasing order and then pro-cesses the pieces in that order by placing each item into the first bin into which it fits. 展开更多
关键词 BIN-PACKING MINIMAL counter-example weigtht-function FFD-algorithm.
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