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This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.

代数几何 · 数学 2007-05-23 Yakov Varshavsky

This paper has been withdrawn by the author due to an error in Lemma 3, making the (bijective) proof of Theorem 4 and Corollary 5 invalid (symmetry of k-nonnesting and k-noncrossing set partitions).

组合数学 · 数学 2007-10-09 Robert Parviainen

We consider single-machine scheduling problems that are natural generalizations or variations of the min-sum set cover problem and the min-sum vertex cover problem. For each of these problems, we give new approximation algorithms. Some of…

数据结构与算法 · 计算机科学 2020-01-22 Felix Happach , Andreas S. Schulz

This paper has been withdrawn since it contains some discrepancy with othe authers's recent result. We will not post this until this discrepancy is resolved.

经典分析与常微分方程 · 数学 2007-07-24 Yong Kum Cho , Sunggeum Hong , Joonil Kim , Chan Woo Yang

An important objective in scheduling literature is to minimize the sum of weighted flow times. We are given a set of jobs where each job is characterized by a release time, a processing time, and a weight. Our goal is to find a preemptive…

数据结构与算法 · 计算机科学 2022-08-08 Alexander Armbruster , Lars Rohwedder , Andreas Wiese

In this paper we study a single machine scheduling problem with the objective of minimizing the sum of completion times. Each of the given jobs is either short or long. However the processing times are initially hidden to the algorithm, but…

数据结构与算法 · 计算机科学 2021-05-06 Fanny Dufossé , Christoph Dürr , Noël Nadal , Denis Trystram , Óscar C. Vásquez

This paper has been temporarily withdrawn for corrections.

q-alg · 数学 2008-02-03 S. M. Sergeev , V. V. Bazhanov , V. V. Mangazeev

This paper has been withdrawn by the author due to essential mistakes in some previous versions.

概率论 · 数学 2008-09-15 Qingyang Guan

This paper has been withdrawn by the author due to an error.

综合数学 · 数学 2008-04-29 Antonio Leon

Admin note: withdrawn by arXiv admin because of the use of a pseudonym, in violation of arXiv policy.

综合数学 · 数学 2015-03-13 Asia Furones

This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 3.1.

数论 · 数学 2007-05-23 Tomohiro Yamada

This paper has been withdrawn by the author. This draft is withdrawn for its poor quality in english, unfortunately produced by the author when he was just starting his science route. Look at the ICML version instead:…

机器学习 · 计算机科学 2012-06-11 Yao HengShuai

There are several serious errors in this paper. I thought to have time to fix it, but it did not occur for years. So I withdraw this paper.

表示论 · 数学 2011-09-21 Syu Kato

This paper has been withdrawn by the author due to an error in an inequality in the proof of Theorem 1.1.

几何拓扑 · 数学 2007-05-23 Jonathan Williams

The paper considers scheduling on parallel machines under the constraint that some pairs of jobs cannot be processed concurrently. Each job has an associated weight, and all jobs have the same deadline. The objective is to maximise the…

数据结构与算法 · 计算机科学 2021-06-15 Yakov Zinder , Joanna Berlińska , Charlie Peter

This paper has been withdrawn by the author due to similarity to the author's other paper

综合物理 · 物理学 2009-04-13 Erez M. Yahalomi

This paper has been withdrawn by the author due to an error in the proof of Theorem 6.

组合数学 · 数学 2012-06-22 Øystein J. Rødseth

In the problem called single resource constraint scheduling, we are given $m$ identical machines and a set of jobs, each needing one machine to be processed as well as a share of a limited renewable resource $R$. A schedule of these jobs is…

数据结构与算法 · 计算机科学 2021-07-06 Klaus Jansen , Malin Rau

This paper has been withdrawn due to a photometric calibration error.

天体物理学 · 物理学 2011-11-10 Jae-Woo Lee , Bruce W. Carney , Haw Cheng

withdrawn by the authors because of an error.

量子物理 · 物理学 2007-08-28 Y. -J. Han , L. -M. Duan
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