A New Lower Bound for Classic Online Bin Packing

被引：5
|
作者：
Balogh, Janos [1 ]
Bekesi, Jozsef [2 ]
Dosa, Gyorgy [3 ]
Epstein, Leah [4 ]
Levin, Asaf [5 ]
机构：
[1] Univ Szeged, Inst Informat, Szeged, Hungary
[2] Univ Szeged, Gyula Juhasz Fac Educ, Dept Appl Informat, Szeged, Hungary
[3] Univ Pannonia, Dept Math, Veszprem, Hungary
[4] Univ Haifa, Dept Math, Haifa, Israel
[5] Technion, Fac Ind Engn & Management, Haifa, Israel
来源：
APPROXIMATION AND ONLINE ALGORITHMS (WAOA 2019) | 2020年 / 11926卷
关键词：
ALGORITHMS;
D O I：
10.1007/978-3-030-39479-0_2
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We improve the lower bound on the asymptotic competitive ratio of any online algorithm for bin packing to above 1.54278. We demonstrate for the first time the advantage of branching and the applicability of full adaptivity in the design of lower bounds for the classic online bin packing problem. We apply a new method for weight based analysis, which is usually applied only in proofs of upper bounds. The values of previous lower bounds were approximately 1.5401 and 1.5403.
引用
收藏
页码：18 / 28
页数：11
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