Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Improved Online Algorithm for Weighted Flow Time   We discuss one of the most fundamental scheduling problem of processing jobs
on a single machine to minimize the weighted flow time (weighted response
time). Our main result is a $O(\log P)$-competitive algorithm, where $P$ is the
maximum-to-minimum processing time ratio, improving upon the
$O(\log^{2}P)$-competitive algorithm of Chekuri, Khanna and Zhu (STOC 2001). We
also design a $O(\log D)$-competitive algorithm, where $D$ is the
maximum-to-minimum density ratio of jobs. Finally, we show how to combine these
results with the result of Bansal and Dhamdhere (SODA 2003) to achieve a
$O(\log(\min(P,D,W)))$-competitive algorithm (where $W$ is the
maximum-to-minimum weight ratio), without knowing $P,D,W$ in advance. As shown
by Bansal and Chan (SODA 2009), no constant-competitive algorithm is achievable
for this problem.

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The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph