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We consider the processor sharing $M/M/1$-PS queue which also models balking. A customer that arrives and sees $n$ others in the system "balks" (i.e., decides not to enter) with probability $1-b_n$. If $b_n$ is inversely proportional to…

概率论 · 数学 2011-04-26 Qiang Zhen , Johan S. H. van Leeuwaarden , Charles Knessl

The Satisfactory Partition problem consists in deciding if the set of vertices of a given undirected graph can be partitioned into two nonempty parts such that each vertex has at least as many neighbours in its part as in the other part.…

数据结构与算法 · 计算机科学 2020-07-29 Ajinkya Gaikwad , Soumen Maity , Shuvam Kant Tripathi

Given a weighted graph, we introduce a partition of its vertex set such that the distance between any two clusters is bounded from below by a power of the minimum weight of both clusters. This partition is obtained by recursively merging…

概率论 · 数学 2020-03-16 Laurent Ménard , Arvind Singh

The (Non-Preemptive) Throughput Maximization problem is a natural and fundamental scheduling problem. We are given $n$ jobs, where each job $j$ is characterized by a processing time and a time window, contained in a global interval $[0,T)$,…

数据结构与算法 · 计算机科学 2026-04-01 Alexander Armbruster , Fabrizio Grandoni , Antoine Tinguely , Andreas Wiese

Throughput is a main performance objective in communication networks. This paper considers a fundamental maximum throughput routing problem -- the all-or-nothing multicommodity flow (ANF) problem -- in arbitrary directed graphs and in the…

数据结构与算法 · 计算机科学 2022-07-27 Anya Chaturvedi , Chandra Chekuri , Mengxue Liu , Andréa W. Richa , Mattias Rost , Stefan Schmid , Jamison Weber

Maximum bipartite matching is a fundamental algorithmic problem which can be solved in polynomial time. We consider a natural variant in which there is a separation constraint: the vertices on one side lie on a path or a grid, and two…

数据结构与算法 · 计算机科学 2023-03-20 Pasin Manurangsi , Erel Segal-Halevi , Warut Suksompong

The Drinker Paradox is as follows. In every nonempty tavern, there is a person such that if that person is drinking, then everyone in the tavern is drinking. Formally, \[ \exists x \big(\varphi \rightarrow \forall y \varphi[x/y]\big) \ . \]…

逻辑 · 数学 2018-12-03 Louis Warren , Hannes Diener , Maarten McKubre-Jordens

Computer systems are designed to make resources available to users and users may be interested in some resources more than others, therefore, a coordination scheme is required to satisfy the users' requirements. This scheme may implement…

分布式、并行与集群计算 · 计算机科学 2020-07-07 Amirhossein Sayyadabdi , Mohsen Sharifi

The restricted hypercube-like graphs, variants of the hypercube, were proposed as desired interconnection networks of parallel systems. The matching preclusion number of a graph is the minimum number of edges whose deletion results in the…

组合数学 · 数学 2020-01-23 Huazhong Lü , Tingzeng Wu

The critical path of a group of tasks is an important measure that is commonly used to guide task allocation and scheduling on parallel computers. The critical path is the longest chain of dependencies in an acyclic task dependence graph. A…

分布式、并行与集群计算 · 计算机科学 2017-02-01 Aravind Vasudevan , David Gregg

The area of judicious partitioning considers the general family of partitioning problems in which one seeks to optimize several parameters simultaneously, and these problems have been widely studied in various combinatorial contexts. In…

组合数学 · 数学 2014-10-07 Choongbum Lee , Po-Shen Loh , Benny Sudakov

Transactional memory (TM) is a convenient synchronization tool that allows concurrent threads to declare sequences of instructions on shared data as speculative \emph{transactions} with "all-or-nothing" semantics. It is known that dynamic…

分布式、并行与集群计算 · 计算机科学 2014-08-18 Petr Kuznetsov , Srivatsan Ravi

Consider a system of $K$ particles moving on the vertex set of a finite connected graph with at most one particle per vertex. If there is one, the particle at $x$ chooses one of the $\hbox{deg} (x)$ neighbors of its location uniformly at…

概率论 · 数学 2019-06-06 Shiba Biswal , Nicolas Lanchier

The distinguishing result of this paper is a $\mathbf{P}$-time enumerable partition of all the potential perfect matchings in a bipartite graph. This partition is a set of equivalence classes induced by the missing edges in the potential…

计算复杂性 · 计算机科学 2017-10-31 Javaid Aslam

The Maximum Flow Problem with Conflict Constraints is a generalization that adds conflict constraints to a classical optimization problem on networks used to model several real-world applications. In the last few years several approaches,…

最优化与控制 · 数学 2025-03-26 Roberto Montemanni , Derek H. Smith

We describe scalable protocols for solving the secure multi-party computation (MPC) problem among a large number of parties. We consider both the synchronous and the asynchronous communication models. In the synchronous setting, our…

数据结构与算法 · 计算机科学 2015-09-29 Varsha Dani , Valerie King , Mahnush Movahedi , Jared Saia , Mahdi Zamani

The halting problem is undecidable --- but can it be solved for "most" inputs? This natural question was considered in a number of papers, in different settings. We revisit their results and show that most of them can be easily proven in a…

逻辑 · 数学 2017-01-11 Laurent Bienvenu , Damien Desfontaines , Alexander Shen

Filtration, flow in narrow channels and traffic flow are examples of processes subject to blocking when the channel conveying the particles becomes too crowded. If the blockage is temporary, which means that after a finite time the channel…

统计力学 · 物理学 2018-08-01 G. Page , J. Resing , P. Viot , J. Talbot

We consider a central trading desk which aggregates the inflow of clients' orders with unobserved toxicity, i.e. persistent adverse directionality. The desk chooses either to internalise the inflow or externalise it to the market in a cost…

交易与市场微观结构 · 定量金融 2024-07-08 Alexander Barzykin , Robert Boyce , Eyal Neuman

This article unifies and generalizes fundamental results related to $n$-process asynchronous crash-prone distributed computing. More precisely, it proves that for every $0\leq k \leq n$, assuming that process failures occur only before the…

分布式、并行与集群计算 · 计算机科学 2023-09-21 Anaïs Durand , Michel Raynal , Gadi Taubenfeld