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Consider a first-come, first-served single server queue with an initial workload $x>0$ and customers who arrive according to an inhomogeneous Poisson process with rate function $\lambda:[0,\infty)\rightarrow[0,\lambda_h ]$ for some…

概率论 · 数学 2025-03-18 Shreehari Anand Bodas , Royi Jacobovic

The usefulness of parameterized algorithmics has often depended on what Niedermeier has called, "the art of problem parameterization". In this paper we introduce and explore a novel but general form of parameterization: the number of…

数据结构与算法 · 计算机科学 2015-05-19 Michael R. Fellows , Serge Gaspers , Frances A. Rosamond

This paper develops fluid limits for nonstationary many-server loss systems with general service-time distributions. For the zero-buffer $M_t/G/n/n$ queuing model, we prove a functional strong law of large numbers for the fraction of busy…

概率论 · 数学 2025-11-12 Mingrui Wang , Prakash Chakraborty

In the case of multi-threading as found in contemporary programming languages, parallel processes are interleaved according to what is known as a process-scheduling policy in the field of operating systems. In a previous paper, we extend…

计算机科学中的逻辑 · 计算机科学 2020-04-22 C. A. Middelburg

In the semi-streaming model for processing massive graphs, an algorithm makes multiple passes over the edges of a given $n$-vertex graph and is tasked with computing the solution to a problem using $O(n \cdot \text{polylog}(n))$ space.…

数据结构与算法 · 计算机科学 2023-12-21 Sepehr Assadi , Christian Konrad , Kheeran K. Naidu , Janani Sundaresan

The problem of scheduling tasks on $p$ processors so that no task ever gets too far behind is often described as a game with cups and water. In the $p$-processor cup game on $n$ cups, there are two players, a filler and an emptier, that…

数据结构与算法 · 计算机科学 2021-02-11 William Kuszmaul , Alek Westover

This work establishes the fundamental limits of the classical problem of multi-user distributed computing of linearly separable functions. In particular, we consider a distributed computing setting involving $L$ users, each requesting a…

信息论 · 计算机科学 2026-01-16 K. K. Krishnan Namboodiri , Elizabath Peter , Derya Malak , Petros Elia

We consider a single server system with infinite waiting room in a random environment. The service system and the environment interact in both directions. Whenever the environment enters a prespecified subset of its state space the service…

概率论 · 数学 2013-12-03 Ruslan Krenzler , Hans Daduna

Communicating finite-state machines (CFMs) are a Turing powerful model of asynchronous message-passing distributed systems. In weakly synchronous systems, processes communicate through phases in which messages are first sent and then…

计算与语言 · 计算机科学 2023-08-22 Cinzia Di Giusto , Davide Ferré , Etienne Lozes , Nicolas Nisse

The probabilistic satisfiability of a logical expression is a fundamental concept known as the partition function in statistical physics and field theory, an evaluation of a related graph's Tutte polynomial in mathematics, and the…

离散数学 · 计算机科学 2022-06-09 Stephen Eubank , Madhurima Nath , Yihui Ren , Abhijin Adiga

Typical protocols for peer-to-peer file sharing over the Internet divide files to be shared into pieces. New peers strive to obtain a complete collection of pieces from other peers and from a seed. In this paper we investigate a problem…

性能 · 计算机科学 2011-07-14 Bruce Hajek , Ji Zhu

In clustering problems, a central decision-maker is given a complete metric graph over vertices and must provide a clustering of vertices that minimizes some objective function. In fair clustering problems, vertices are endowed with a color…

机器学习 · 计算机科学 2023-06-06 Seyed A. Esmaeili , Brian Brubach , Leonidas Tsepenekas , John P. Dickerson

We provide, to the best of our knowledge, the first computational study of extensive-form adversarial team games. These games are sequential, zero-sum games in which a team of players, sharing the same utility function, faces an adversary.…

人工智能 · 计算机科学 2017-11-21 Andrea Celli , Nicola Gatti

This paper studies the problem of jointly estimating multiple network processes driven by a common unknown input, thus effectively generalizing the classical blind multi-channel identification problem to graphs. More precisely, we model…

信号处理 · 电气工程与系统科学 2019-10-01 Yu Zhu , Fernando J. Iglesias , Antonio G. Marques , Santiago Segarra

Consensus halving refers to the problem of dividing a resource into two parts so that every agent values both parts equally. Prior work has shown that when the resource is represented by an interval, a consensus halving with at most $n$…

计算机科学与博弈论 · 计算机科学 2022-11-22 Paul W. Goldberg , Alexandros Hollender , Ayumi Igarashi , Pasin Manurangsi , Warut Suksompong

This paper studies the capacity of massive random-access cellular networks, modeled as a MIMO fading channel with an infinite number of interfering cells. To characterize the symmetric sum rate of the network, a random-coding argument is…

信息论 · 计算机科学 2025-09-26 Grace Villacrés , Tobias Koch , Gonzalo Vazquez-Vilar

In this article we introduce two new perfect simulation algorithms for chains with infinite memory. Both algorithms belong to the coupling of past procedures. The novelty of our approach is that it allows to include unknown states to the…

概率论 · 数学 2025-10-30 Emilio De Santis , Kádmo Laxa , Eva Löcherbach

Partial graph matching extends traditional graph matching by allowing some nodes to remain unmatched, enabling applications in more complex scenarios. However, this flexibility introduces additional complexity, as both the subset of nodes…

机器学习 · 计算机科学 2026-02-26 Gathika Ratnayaka , James Nichols , Qing Wang

With the advent of social networks and the web, the graph sizes have grown too large to fit in main memory precipitating the need for alternative approaches for an efficient, scalable evaluation of queries on graphs of any size. Here, we…

数据库 · 计算机科学 2019-05-15 Soumyava Das , Abhishek Santra , Jay Bodra , Sharma Chakravarthy

In this paper we consider a multiple access channel (MAC) with partial cribbing encoders. This means that each of two encoders obtains a deterministic function of the other encoder output with or without delay. The partial cribbing scheme…

信息论 · 计算机科学 2011-03-22 Haim Permuter , Himanshu Asnani