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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

Visualizing graphs using virtual physical models is probably the most heavily used technique for drawing graphs in practice. There are many algorithms that are efficient and produce high-quality layouts. If one requires that the layout also…

离散数学 · 计算机科学 2013-09-09 Emden R. Gansner , Yifan Hu , Shankar Krishnan

A new approach to solving a class of rankconstrained semi-definite programming (SDP) problems, which appear in many signal processing applications such as transmit beamspace design in multiple-input multiple-output (MIMO) radar, downlink…

信息论 · 计算机科学 2016-10-10 Matthew W. Morency , Sergiy A. Vorobyov

Discrete facility layout design involves placing physical entities to minimize handling costs while adhering to strict safety and spatial constraints. This combinatorial problem is typically addressed using Mixed Integer Linear Programming…

人工智能 · 计算机科学 2026-05-08 Joshua Gibson , Kapil Dhakal

This paper considers optimization problems where the objective is the sum of a function given by an expectation and a closed convex composite function, and proposes stochastic composite proximal bundle (SCPB) methods for solving it.…

最优化与控制 · 数学 2023-10-24 Jiaming Liang , Vincent Guigues , Renato D. C. Monteiro

The p-median problem concerns the location of facilities so that the sum of distances between the demand points and their nearest facility is minimized. We study a variant of this classic location problem where minimum distance constraints…

最优化与控制 · 数学 2022-07-13 Nikolaos Ploskas , Kostas Stergiou

Reliability-based design optimization (RBDO) provides a rational and sound framework for finding the optimal design while taking uncertainties into ac-count. The main issue in implementing RBDO methods, particularly stochastic simu-lation…

应用统计 · 统计学 2020-03-03 Wang-Sheng Liu , Sai Hung Cheung

The state of the art in approximation algorithms for facility location problems are complicated combinations of various techniques. In particular, the currently best 1.488-approximation algorithm for the uncapacitated facility location…

数据结构与算法 · 计算机科学 2016-11-25 Jaroslaw Byrka , Shanfei Li , Bartosz Rybicki

High renewable penetration increases the frequency and magnitude of net-load ramps, stressing real-time flexibility. Two commonly deployed remedies are look-ahead economic dispatch (LAED) and ramp products (RPs), yet their operational…

系统与控制 · 电气工程与系统科学 2026-01-30 Qian Zhang , Le Xie , Long Zhao , Congcong Wang

The optimal robot assembly planning problem is challenging due to the necessity of finding the optimal solution amongst an exponentially vast number of possible plans, all while satisfying a selection of constraints. Traditionally, robotic…

机器人学 · 计算机科学 2025-02-25 Kartik Nagpal , Negar Mehr

In this paper, we investigate the $k$-Facility Location Problem ($k$-FLP) within the Bayesian Mechanism Design framework, in which agents' preferences are samples of a probability distributed on a line. Our primary contribution is…

计算机科学与博弈论 · 计算机科学 2024-07-10 Gennaro Auricchio , Jie Zhang

Deep learning (DL) has demonstrated significant success across diverse fields, leading to the construction of dedicated GPU accelerators within GPU clusters for high-quality training services. Efficient scheduler designs for such clusters…

分布式、并行与集群计算 · 计算机科学 2024-07-19 Yizhou Luo , Qiang Wang , Shaohuai Shi , Jiaxin Lai , Shuhan Qi , Jiajia Zhang , Xuan Wang

In the Submodular Facility Location problem (SFL) we are given a collection of $n$ clients and $m$ facilities in a metric space. A feasible solution consists of an assignment of each client to some facility. For each client, one has to pay…

In this paper, we consider the problem of scheduling an application on a parallel computational platform. The application is a particular task graph, either a linear chain of tasks, or a set of independent tasks. The platform is made of…

数据结构与算法 · 计算机科学 2012-10-18 Guillaume Aupy , Anne Benoit

Simplified models are useful to increase the computational efficiency of a motion planning algorithm, but their lack of accuracy have to be managed. We propose two feasibility constraints to be included in a Single Rigid Body Dynamicsbased…

We provide an algorithm giving a $\frac{140}{41}$($<3.415$)-approximation for Coflow Scheduling and a $4.36$-approximation for Coflow Scheduling with release dates. This improves upon the best known $4$- and respectively $5$-approximations…

数据结构与算法 · 计算机科学 2025-03-03 Lars Rohwedder , Leander Schnaars

In this paper we begin by discussing the simple bilevel programming problem (SBP) and its extension the simple mathematical programming problem under equilibrium constraints (SMPEC). Here we first define both these problems and study their…

最优化与控制 · 数学 2019-12-16 Stephan Dempe , Nguyen Dinh , Joydeep Dutta , Tanushree Pandit

Sequential Convex Programming (SCP) has recently gained popularity as a tool for trajectory optimization due to its sound theoretical properties and practical performance. Yet, most SCP-based methods for trajectory optimization are…

最优化与控制 · 数学 2019-05-21 Riccardo Bonalli , Andrew Bylard , Abhishek Cauligi , Thomas Lew , Marco Pavone

We consider the classical problem of Scheduling on Unrelated Machines. In this problem a set of jobs is to be distributed among a set of machines and the maximum load (makespan) is to be minimized. The processing time $p_{ij}$ of a job $j$…

数据结构与算法 · 计算机科学 2017-01-16 Klaus Jansen , Lars Rohwedder

Existing methods for fine-tuning sparse LLMs often suffer from resource-intensive requirements and high retraining costs. Additionally, many fine-tuning methods often rely on approximations or heuristic optimization strategies, which may…

机器学习 · 计算机科学 2024-02-21 Song Guo , Fan Wu , Lei Zhang , Xiawu Zheng , Shengchuan Zhang , Fei Chao , Yiyu Shi , Rongrong Ji