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We consider the problem of maximizing a monotone nondecreasing set function under multiple constraints, where the constraints are also characterized by monotone nondecreasing set functions. We propose two greedy algorithms to solve the…

最优化与控制 · 数学 2023-05-09 Lintao Ye , Zhi-Wei Liu , Ming Chi , Vijay Gupta

This report considers a sporadic real-time task system with $n$ sporadic tasks on a uniprocessor platform, in which the lowest-priority task is a segmented self-suspension task and the other higher-priority tasks are ordinary sporadic…

数据结构与算法 · 计算机科学 2016-06-07 Jian-Jia Chen

Given $n$ jobs with processing times $p_1,\dotsc,p_n\in\mathbb N$ and $m\le n$ machines with speeds $s_1,\dotsc,s_m\in\mathbb N$ our goal is to allocate the jobs to machines minimizing the makespan. We present an algorithm that solves the…

数据结构与算法 · 计算机科学 2025-01-10 Lars Rohwedder

The interval scheduling problem is one variant of the scheduling problem. In this paper, we propose a novel variant of the interval scheduling problem, whose definition is as follows: given jobs are specified by their {\em release times},…

数据结构与算法 · 计算机科学 2018-05-16 Koji M. Kobayashi

We study the problem of fairly allocating a set of m indivisible chores (items with non-positive value) to n agents. We consider the desirable fairness notion of 1-out-of-d maximin share (MMS) -- the minimum value that an agent can…

计算机科学与博弈论 · 计算机科学 2022-01-20 Hadi Hosseini , Andrew Searns , Erel Segal-Halevi

The problem of attaining energy efficiency in distributed systems is of importance, but a general, non-domain-specific theory of energy-minimal scheduling is far from developed. In this paper, we classify the problems of energy-minimal…

分布式、并行与集群计算 · 计算机科学 2021-03-10 Pragati Agrawal , Shrisha Rao

In this work, we study online submodular maximization, and how the requirement of maintaining a stable solution impacts the approximation. In particular, we seek bounds on the best-possible approximation ratio that is attainable when the…

数据结构与算法 · 计算机科学 2024-12-04 Paul Dütting , Federico Fusco , Silvio Lattanzi , Ashkan Norouzi-Fard , Ola Svensson , Morteza Zadimoghaddam

We study stochastic optimization problems with objective function given by the expectation of the maximum of two linear functions defined on the component random variables of a multivariate Gaussian distribution. We consider random…

最优化与控制 · 数学 2021-12-15 David Bergman , Carlos Cardonha , Jason Imbrogno , Leonardo Lozano

We study kill-and-restart and preemptive strategies for the fundamental scheduling problem of minimizing the sum of weighted completion times on a single machine in the non-clairvoyant setting. First, we show a lower bound of~$3$ for any…

数据结构与算法 · 计算机科学 2024-07-24 Sven Jäger , Guillaume Sagnol , Daniel Schmidt genannt Waldschmidt , Philipp Warode

We consider a selfish variant of the knapsack problem. In our version, the items are owned by agents, and each agent can misrepresent the set of items she owns---either by avoiding reporting some of them (understating), or by reporting…

计算机科学与博弈论 · 计算机科学 2016-03-01 Itai Feigenbaum , Matthew P. Johnson

We study truthful mechanisms for matching and related problems in a partial information setting, where the agents' true utilities are hidden, and the algorithm only has access to ordinal preference information. Our model is motivated by the…

计算机科学与博弈论 · 计算机科学 2016-10-20 Elliot Anshelevich , Shreyas Sekar

In parallel machine scheduling, we are given a set of jobs, together with a number of machines and our goal is to decide for each job, when and on which machine(s) it should be scheduled in order to minimize some objective function.…

数据结构与算法 · 计算机科学 2023-02-09 Klaus Jansen , Kai Kahler

We study stochastic combinatorial optimization problems where the objective is to minimize the expected maximum load (a.k.a.\ the makespan). In this framework, we have a set of $n$ tasks and $m$ resources, where each task $j$ uses some…

数据结构与算法 · 计算机科学 2021-06-25 Anupam Gupta , Amit Kumar , Viswanath Nagarajan , Xiangkun Shen

We study truthful mechanisms for approximating the Maximin-Share (MMS) allocation of agents with additive valuations for indivisible goods. Algorithmically, constant factor approximations exist for the problem for any number of agents. When…

计算机科学与博弈论 · 计算机科学 2024-06-12 Ilan Reuven Cohen , Alon Eden , Talya Eden , Arsen Vasilyan

Scheduling with testing is a recent online problem within the framework of explorable uncertainty motivated by environments where some preliminary action can influence the duration of a task. Jobs have an unknown processing time that can be…

数据结构与算法 · 计算机科学 2021-08-20 Susanne Albers , Alexander Eckl

Motion planning under differential constraints is a classic problem in robotics. To date, the state of the art is represented by sampling-based techniques, with the Rapidly-exploring Random Tree algorithm as a leading example. Yet, the…

机器人学 · 计算机科学 2015-03-03 Edward Schmerling , Lucas Janson , Marco Pavone

We consider a natural extension of online makespan scheduling on identical parallel machines by introducing scenarios. A scenario is a subset of jobs, and the task of our problem is to find a global assignment of the jobs to machines so…

数据结构与算法 · 计算机科学 2025-12-10 Ekin Ergen

The speed-robust scheduling problem is a two-stage problem where given $m$ machines, jobs must be grouped into at most $m$ bags while the processing speeds of the given $m$ machines are unknown. After the speeds are revealed, the grouped…

数据结构与算法 · 计算机科学 2022-06-01 Franziska Eberle , Ruben Hoeksma , Nicole Megow , Lukas Nölke , Kevin Schewior , Bertrand Simon

We consider the problem of federated learning in a one-shot setting in which there are $m$ machines, each observing $n$ sample functions from an unknown distribution on non-convex loss functions. Let $F:[-1,1]^d\to\mathbb{R}$ be the…

机器学习 · 计算机科学 2024-02-07 Arsalan Sharifnassab , Saber Salehkaleybar , S. Jamaloddin Golestani

We consider distributed stochastic optimization problems that are solved with master/workers computation architecture. Statistical arguments allow to exploit statistical similarity and approximate this problem by a finite-sum problem, for…