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We consider a connection-level model proposed by Massouli\'{e} and Roberts for bandwidth sharing among file transfer flows in a communication network. We study weighted proportionally fair sharing policies and establish explicit-form bounds…

Performance · Computer Science 2021-01-13 Weina Wang , Siva Theja Maguluri , R. Srikant , Lei Ying

Intelligent dispatching is crucial to obtaining low response times in large-scale systems. One common scalable dispatching paradigm is the ``power-of-$d$,'' in which the dispatcher queries $d$ servers at random and assigns the job to a…

Networking and Internet Architecture · Computer Science 2021-12-21 Jazeem Abdul Jaleel , Sherwin Doroudi , Kristen Gardner , Alexander Wickeham

The main steps of automatic control methodology include the hierarchical representation of management system and the formal definitions of input variables, object and goal of control of each management level. A Petri net model of individual…

adap-org · Physics 2008-02-03 V. Zaborovski , S. Yegorov , Y. Podgurski , Y. Shemanin

The strategic selection of resources by selfish agents is a classic research direction, with Resource Selection Games and Congestion Games as prominent examples. In these games, agents select available resources and their utility then…

Computer Science and Game Theory · Computer Science 2024-06-14 Jonathan Gadea Harder , Simon Krogmann , Pascal Lenzner , Alexander Skopalik

Predictably sharing the network is critical to achieving high utilization in the datacenter. Past work has focussed on providing bandwidth to endpoints, but often we want to allocate resources among multi-node services. In this paper, we…

Networking and Internet Architecture · Computer Science 2014-05-07 Vimalkumar Jeyakumar , Abdul Kabbani , Jeffrey C. Mogul , Amin Vahdat

The Hierarchical Inference (HI) paradigm employs a tiered processing: the inference from simple data samples are accepted at the end device, while complex data samples are offloaded to the central servers. HI has recently emerged as an…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-17 Adarsh Prasad Behera , Roberto Morabito , Joerg Widmer , Jaya Prakash Champati

Deploying large language model (LLM) inference at scale requires jointly selecting base models, provisioning heterogeneous GPUs, configuring parallelism, and distributing workloads under tight latency, accuracy, and budget constraints.…

Machine Learning · Computer Science 2026-04-10 Jiaming Cheng , Duong Tung Nguyen

This paper analyzes single-item continuous-review inventory models with random supplies in which the inventory dynamic between orders is described by a diffusion process, and a long-term average cost criterion is used to evaluate decisions.…

Optimization and Control · Mathematics 2024-02-07 K. L. Helmes , R. H. Stockbridge , C. Zhu

We present an analysis of large-scale load balancing systems, where the processing time distribution of tasks depends on both the task and server types. Our study focuses on the asymptotic regime, where the number of servers and task types…

Probability · Mathematics 2023-06-19 Zhisheng Zhao , Debankur Mukherjee

In several applications in distributed systems, an important design criterion is ensuring that the network is sparse, i.e., does not contain too many edges, while achieving reliable connectivity. Sparsity ensures communication overhead…

Social and Information Networks · Computer Science 2025-08-19 Mansi Sood , Eray Can Elumar , Osman Yagan

We consider the problem of rate and power allocation in a multiple-access channel. Our objective is to obtain rate and power allocation policies that maximize a general concave utility function of average transmission rates on the…

Information Theory · Computer Science 2016-11-15 Ali ParandehGheibi , Atilla Eryilmaz , Asuman Ozdaglar , Muriel Medard

Directed graphs provide more subtle and precise modelling tools for optimization in road networks than simple graphs. In particular, they are more suitable in the context of alternative fuel vehicles and new automotive technologies, like…

Discrete Mathematics · Computer Science 2024-09-09 Lukas Dijkstra , Andrei Gagarin , Padraig Corcoran , Rhyd Lewis

We consider a class of open stochastic processing networks, with feedback routing and overlapping server capabilities, in heavy traffic. The networks we consider satisfy the so-called complete resource pooling condition and therefore have…

Probability · Mathematics 2007-05-23 Baris Ata , Sunil Kumar

We consider parametrized linear-quadratic optimal control problems and provide their online-efficient solutions by combining greedy reduced basis methods and machine learning algorithms. To this end, we first extend the greedy control…

Optimization and Control · Mathematics 2023-07-31 Hendrik Kleikamp , Martin Lazar , Cesare Molinari

In recent years, as the demand for low energy and high performance computing has steadily increased, heterogeneous computing has emerged as an important and promising solution. Because most workloads can typically run most efficiently on…

Performance · Computer Science 2017-12-11 Zhuo Chen , Diana Marculescu

In the era of a growing population, systemic changes to the world, and the rising risk of crises, humanity has been facing an unprecedented challenge of resource scarcity. Confronting and addressing the issues concerning the scarce…

Theoretical Economics · Economics 2022-11-23 Xiaowei Hu , Peng Li

Motivated by a wide variety of applications, this paper introduces a general class of networks of stochastic loss systems in which congestion renders lost revenue due to customers or jobs being permanently removed from the system. We seek…

Networking and Internet Architecture · Computer Science 2022-05-12 Brendan Patch , Mark S. Squillante , Peter M. Van de Ven

A heterogeneous closed network with one-server queues with finite capacity and one infinite-server queue is studied. A target application is bike-sharing systems. Heterogeneity is taken into account through clusters whose queues have the…

Adaptation and Self-Organizing Systems · Physics 2014-05-26 Christine Fricker , Nicolas Servel

Grid technologies aim at enabling a coordinated resource-sharing and problem-solving capabilities over local and wide area networks and span locations, organizations, machine architectures and software boundaries. The heterogeneity of…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Sergio Andreozzi , Massimo Sgaravatto , Cristina Vistoli

Optimizing shared vehicle systems (bike/scooter/car/ride-sharing) is more challenging compared to traditional resource allocation settings due to the presence of \emph{complex network externalities} -- changes in the demand/supply at any…

Computer Science and Game Theory · Computer Science 2021-05-12 Siddhartha Banerjee , Daniel Freund , Thodoris Lykouris