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We consider a problem where agents have private positions on a line, and public approval preferences over two facilities, and their cost is the maximum distance from their approved facilities. The goal is to decide the facility locations to…

计算机科学与博弈论 · 计算机科学 2023-12-19 Mohammad Lotfi , Alexandros A. Voudouris

We present new coordination mechanisms for scheduling selfish jobs on $m$ unrelated machines. A coordination mechanism aims to mitigate the impact of selfishness of jobs on the efficiency of schedules by defining a local scheduling policy…

计算机科学与博弈论 · 计算机科学 2011-07-12 Ioannis Caragiannis

The development of randomized algorithms for numerical linear algebra, e.g. for computing approximate QR and SVD factorizations, has recently become an intense area of research. This paper studies one of the most frequently discussed…

数值分析 · 计算机科学 2013-08-28 Rafi Witten , Emmanuel Candes

We present a centralized algorithmic framework for solving multi-robot path planning problems in general, two-dimensional, continuous environments while minimizing globally the task completion time. The framework obtains high levels of…

机器人学 · 计算机科学 2015-07-14 Jingjin Yu , Daniela Rus

Goemans and Williamson proposed a randomized rounding algorithm for the MAX-CUT problem with a 0.878 approximation bound in expectation. The 0.878 approximation bound remains the best-known approximation bound for this APX-hard problem.…

数据结构与算法 · 计算机科学 2024-06-05 Haoyan Shi , Sanjay Mehrotra

We study the House Allocation problem (also known as the Assignment problem), i.e., the problem of allocating a set of objects among a set of agents, where each agent has ordinal preferences (possibly involving ties) over a subset of the…

计算机科学与博弈论 · 计算机科学 2019-05-10 Piotr Krysta , David Manlove , Baharak Rastegari , Jinshan Zhang

We consider the problem of scheduling jobs with equal lengths on uniform parallel batch machines with non-identical capacities where each job can only be processed on a specified subset of machines called its processing set. For the case of…

数据结构与算法 · 计算机科学 2017-08-22 Shuguang Li

A scheduling method in a robotic network cloud system with minimal makespan is beneficial as the system can complete all the tasks assigned to it in the fastest way. Robotic network cloud systems can be translated into graphs where nodes…

机器人学 · 计算机科学 2024-10-30 Saeid Alirezazadeh , Luís A. Alexandre

The Makespan Scheduling problem is an extensively studied NP-hard problem, and its simplest version looks for an allocation approach for a set of jobs with deterministic processing times to two identical machines such that the makespan is…

神经与进化计算 · 计算机科学 2025-04-25 Feng Shi , Daoyu Huang , Xiankun Yan , Frank Neumann

We propose an approach to find low-makespan solutions to multi-robot multi-task planning problems in environments where robots block each other from completing tasks simultaneously. We introduce a formulation of the problem that allows for…

机器人学 · 计算机科学 2023-06-06 Valentin N. Hartmann , Marc Toussaint

We consider the classic problem of scheduling jobs with precedence constraints on a set of identical machines to minimize the makespan objective function. Understanding the exact approximability of the problem when the number of machines is…

数据结构与算法 · 计算机科学 2020-04-30 Janardhan Kulkarni , Shi Li , Jakub Tarnawski , Minwei Ye

Budget feasible mechanisms, recently initiated by Singer (FOCS 2010), extend algorithmic mechanism design problems to a realistic setting with a budget constraint. We consider the problem of designing truthful budget feasible mechanisms for…

计算机科学与博弈论 · 计算机科学 2010-07-23 Ning Chen , Nick Gravin , Pinyan Lu

This paper addresses the scheduling problem in mobile social networks. We begin by proving that the approximation ratio analysis presented in the paper by Zhang \textit{et al.} (IEEE Transactions on Mobile Computing, 2025) is incorrect, and…

数据结构与算法 · 计算机科学 2025-12-24 Chi-Yeh Chen

Recently proposed generative models for discrete data, such as Masked Diffusion Models (MDMs), exploit conditional independence approximations to reduce the computational cost of popular Auto-Regressive Models (ARMs), at the price of some…

机器学习 · 统计学 2025-12-18 Hugo Lavenant , Giacomo Zanella

This paper studies a scheduling problem in a parallel machine setting, where each machine must adhere to a predetermined fixed order for processing the jobs. Given $n$ jobs, each with processing times and deadlines, we aim to minimize the…

数据结构与算法 · 计算机科学 2025-05-16 Andre Berger , Arman Rouhani , Marc Schröder

We are concerned with the problem of scheduling $n$ jobs onto $m$ identical machines. Each machine has to be in operation for a prescribed time, and the objective is to minimize the total machine working time. Precisely, let $c_i$ be the…

数据结构与算法 · 计算机科学 2025-07-22 Yi-Ting Hsieh , Mong-Jen Kao , Jhong-Yun Liu , Hung-Lung Wang

We consider the problem of scheduling $n$ jobs on $m$ uniform machines while minimizing the makespan ($Q||C_{\max}$) and maximizing the minimum completion time ($Q||C_{\min}$) in an online setting with migration of jobs. In this online…

数据结构与算法 · 计算机科学 2025-08-13 Hauke Brinkop , David Fischer , Klaus Jansen

We explore the fundamental limits of distributed balls-into-bins algorithms. We present an adaptive symmetric algorithm that achieves a bin load of two in log* n+O(1) communication rounds using O(n) messages in total. Larger bin loads can…

计算复杂性 · 计算机科学 2011-03-01 Christoph Lenzen , Roger Wattenhofer

We present a unified framework for minimizing average completion time for many seemingly disparate online scheduling problems, such as the traveling repairperson problems (TRP), dial-a-ride problems (DARP), and scheduling on unrelated…

数据结构与算法 · 计算机科学 2021-05-18 Marcin Bienkowski , Artur Kraska , Hsiang-Hsuan Liu

Scheduling problems are fundamental in combinatorial optimization. Much work has been done on approximation algorithms for NP-hard cases, but relatively little is known about exact solutions when some part of the input is a fixed parameter.…

数据结构与算法 · 计算机科学 2018-01-09 Dušan Knop , Martin Koutecký