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We consider a model inspired by compatibility constraints that arise between tasks and servers in data centers, cloud computing systems and content delivery networks. The constraints are represented by a bipartite graph or network that…

Probability · Mathematics 2024-04-10 Diego Goldsztajn , Sem C. Borst , Johan S. H. van Leeuwaarden

These lecture notes cover basic automata-theoretic concepts and logical formalisms for the modeling and verification of concurrent and distributed systems. Many of these concepts naturally extend the classical automata and logics over…

Logic in Computer Science · Computer Science 2021-10-19 Benedikt Bollig , Paul Gastin

Consider a system in which players at nodes of an underlying graph G repeatedly play Prisoner's Dilemma against their neighbors. The players adapt their strategies based on the past behavior of their opponents by applying the so-called…

Discrete Mathematics · Computer Science 2008-12-08 Gabriel Istrate , Madhav V. Marathe , S. S. Ravi

The problem of load balancing in a distribution network under unknown time- varying demand and supply is studied. A set of distributed controllers which regulate the amount of flow through the edges is designed to guarantee convergence of…

Optimization and Control · Mathematics 2013-02-05 Claudio De Persis

The models studied in the steady state involve two queues which are served either by a single server whose speed depends on the number of jobs present, or by several parallel servers whose number may be controlled dynamically. Job service…

Performance · Computer Science 2021-12-03 Andrea Marin , Isi Mitrani

We consider Poisson streams of exponentially distributed jobs arriving at each edge of a hypergraph of queues. Upon arrival, an incoming job is rooted to the shortest queue among the corresponding vertices. This generalizes many known…

Probability · Mathematics 2020-03-11 James Cruise , Matthieu Jonckheere , Seva Shneer

In this paper, we study resilient distributed diffusion for multi-task estimation in the presence of adversaries where networked agents must estimate distinct but correlated states of interest by processing streaming data. We show that in…

Multiagent Systems · Computer Science 2020-03-25 Jiani Li , Waseem Abbas , Xenofon Koutsoukos

Coalition formation is concerned with the question of how to partition a set of agents into disjoint coalitions according to their preferences. Deviating from most of the previous work, we consider an online variant of the problem, where…

Computer Science and Game Theory · Computer Science 2025-03-11 Martin Bullinger , René Romen

We present the explicit construction of a stable queue with several servers and impatient customers, under stationary ergodic assumptions. Using a stochastic comparison of the (multivariate) workload sequence with two monotonic stochastic…

Probability · Mathematics 2017-11-20 Pascal Moyal

In this work, using a game-theoretic approach, cost-sensitive mechanisms that lead to reliable Internet-based computing are designed. In particular, we consider Internet-based master-worker computations, where a master processor assigns,…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-07-08 Antonio Fernandez Anta , Chryssis Georgiou , Miguel A. Mosteiro

The problem of minimizing mean response time of generic jobs submitted to a heterogenous distributed computer systems is considered in this paper. A static load balancing strategy, in which decision of redistribution of loads does not…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-11-09 S. A. Mondal

We consider a natural scheduling problem which arises in many distributed computing frameworks. Jobs with diverse resource requirements (e.g. memory requirements) arrive over time and must be served by a cluster of servers, each with a…

Networking and Internet Architecture · Computer Science 2019-01-21 Konstantinos Psychas , Javad Ghaderi

We consider a basic model of a dynamical distribution network, modeled as a directed graph with storage variables corresponding to every vertex and flow inputs corresponding to every edge, subject to unknown but constant inflows and…

Optimization and Control · Mathematics 2014-03-21 Jieqiang Wei , Arjan J. van der Schaft

In this paper, we consider the following dynamic fair allocation problem: Given a sequence of job arrivals and departures, the goal is to maintain an approximately fair allocation of the resource against a target fair allocation policy,…

Data Structures and Algorithms · Computer Science 2020-01-22 Sungjin Im , Benjamin Moseley , Kamesh Munagala , Kirk Pruhs

We consider shared-object systems that require their threads to fulfill the system jobs by first acquiring sequentially the objects needed for the jobs and then holding on to them until the job completion. Such systems are in the core of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-04 Iosif Salem , Elad M. Schiller , Marina Papatriantafilou , Philippas Tsigas

We consider a system of N queues with decentralized load balancing such as power-of-D strategies(where D may depend on N) and generic scheduling disciplines. To measure the dependence of the queues, we use the clan of ancestors, a technique…

Probability · Mathematics 2018-09-17 Maria Clara Fittipaldi , Matthieu Jonckheere , Sergio I. Lopez

In this study, we investigate a scheduling problem on identical machines in which jobs require initial setup before execution. We assume that an algorithm can dynamically form a batch (i.e., a collection of jobs to be processed together)…

Data Structures and Algorithms · Computer Science 2025-07-16 Yasushi Kawase , Kazuhisa Makino , Vinh Long Phan , Hanna Sumita

We consider a recently proposed \emph{supervised distributed computing} paradigm \cite{augustine2025supervised} that extends and refines the standard master-worker paradigm for parallel computations. In this paradigm, there is a supervisor,…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-15 John Augustine , Henning Hillebrandt , Manish Kumar , Christian Scheideler , Julian Werthmann

Queueing networks are gaining attraction for the performance analysis of parallel computer systems. A Jackson network is a set of interconnected servers, where the completion of a job at server i may result in the creation of a new job for…

Performance · Computer Science 2011-12-06 Tomáš Brázdil , Stefan Kiefer

We consider a system of $N$ parallel queues with identical exponential service rates and a single dispatcher where tasks arrive as a Poisson process. When a task arrives, the dispatcher always assigns it to an idle server, if there is any,…

Probability · Mathematics 2016-12-14 D. Mukherjee , S. C. Borst , J. S. H. van Leeuwaarden , P. A. Whiting