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Coflow scheduling models communication requests in parallel computing frameworks where multiple data flows between shared resources need to be completed before computation can continue. In this paper, we introduce Path-based Coflow…

Data Structures and Algorithms · Computer Science 2020-02-18 Alexander Eckl , Luisa Peter , Maximilian Schiffer , Susanne Albers

In this paper, we apply the random walk model in designing a raindrop algorithm to find the global optimal solution of a non-linear programming problem. The raindrop algorithm does not require the information of the first or second order…

Data Structures and Algorithms · Computer Science 2013-06-11 Zhiqing Wei

Flow delegation is a flexible technique to mitigate flow table capacity bottlenecks in Software-defined Networks (SDN). Such bottlenecks occur when SDN switches provide insufficient flow table capacity which leads to performance degradation…

Networking and Internet Architecture · Computer Science 2021-09-20 Robert Bauer , Martina Zitterbart

Control of multihop Wireless networks in a distributed manner while providing end-to-end delay requirements for different flows, is a challenging problem. Using the notions of Draining Time and Discrete Review from the theory of fluid…

Networking and Internet Architecture · Computer Science 2017-04-20 Ashok Krishnan K. S. , Vinod Sharma

The purpose of this work is to develop an algorithmic optimization approach for a capacitated Multi-Commodity flow problem, where the objective is to minimize the total link costs, where the cost of each arc increases convexly with its…

Networking and Internet Architecture · Computer Science 2026-03-11 Guillaume Beraud-Sudreau , Lucas Létocart , Youcef Magnouche , Sébastien Martin

We analyze the correlation between randomly chosen edge weights on neighboring edges in a directed graph. This shared-endpoint correlation controls the expected organization of randomly drawn edge flows when the flow on each edge is…

Statistics Theory · Mathematics 2024-11-13 Joshua Richland , Alexander Strang

This paper studies an important rate allocation problem that arises in many networked and distributed systems: steady-state traffic rate allocation from multiple sources to multiple service nodes when both (i) the access-path delay on each…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-04 Tamoghna Sarkar , Bhaskar Krishnamachari

In this article, we present a greedy algorithm based on a tensor product decomposition, whose aim is to compute the global minimum of a strongly convex energy functional. We prove the convergence of our method provided that the gradient of…

Functional Analysis · Mathematics 2015-03-13 Eric Cances , Virginie Ehrlacher , Tony Lelievre

We study a market mechanism that sets edge prices to incentivize strategic agents to efficiently share limited network capacity. In this market, agents form coalitions, with each coalition sharing a unit capacity of a selected route and…

Computer Science and Game Theory · Computer Science 2025-11-19 Saurabh Amin , Patrick Jaillet , Haripriya Pulyassary , Manxi Wu

The problem of designing policies for in-network function computation with minimum energy consumption subject to a latency constraint is considered. The scaling behavior of the energy consumption under the latency constraint is analyzed for…

Networking and Internet Architecture · Computer Science 2016-11-17 Paul Balister , Béla Bollobás , Animashree Anandkumar , Alan Willsky

We consider a weighted Shapley network design game, where selfish players choose paths in a network to minimize their cost. The cost function of each edge in the network is affine linear with respect to the sum of weights of the players who…

Computer Science and Game Theory · Computer Science 2023-12-19 Hangxin Gan , Xianhao Meng , Chunying Ren , Yongtang Shi

This paper considers the optimization-based traffic allocation problem among multiple end points in connectionless networks. The network utility function is modeled as a non-concave function, since it is the best description of the quality…

Optimization and Control · Mathematics 2017-03-01 Jingyao Wang , Mahmoud Ashour , Constantino Lagoa , Necdet Aybat , Hao Che , Zhisheng Duan

In a cost sharing problem on a weighted undirected graph, all other nodes want to connect to the source node for some service. Each edge has a cost denoted by a weight and all the connected nodes should share the total cost for the…

Computer Science and Game Theory · Computer Science 2023-11-16 Tianyi Zhang , Dengji Zhao , Junyu Zhang , Sizhe Gu

We present an algorithm for computing pure-strategy epsilon-perfect Bayesian equilibria in sequential auctions with continuous action and value spaces. Importantly, our algorithm includes a verification phase that computes an upper bound on…

Computer Science and Game Theory · Computer Science 2025-02-19 Vinzenz Thoma , Vitor Bosshard , Sven Seuken

We propose a general algorithm to enumerate all solutions of a zero-dimensional polynomial system with respect to a given cost function. The algorithm is developed and is used to study a polynomial system obtained by discretizing the steady…

Numerical Analysis · Mathematics 2008-11-17 Martin Mevissen , Kosuke Yokoyama , Nobuki Takayama

We introduce a variation of the scheduling with precedence constraints problem that has applications to molecular folding and production management. We are given a bipartite graph $H=(B,S)$. Vertices in $B$ are thought of as goods or…

Discrete Mathematics · Computer Science 2016-10-04 Akbar Rafiey , Jeff Kinne , Ján Manuch , Arash Rafiey

Currently existing energy-stable parametric finite element methods for surface diffusion flow and other flows are usually limited to first-order accuracy in time. Designing a high-order algorithm for geometric flows that can also be…

Numerical Analysis · Mathematics 2024-07-15 Meng Li , Yihang Guo , Jingjiang Bi

Power consumption is a dominant and still growing cost factor in data centers. In time periods with low load, the energy consumption can be reduced by powering down unused servers. We resort to a model introduced by Lin, Wierman, Andrew and…

Data Structures and Algorithms · Computer Science 2021-08-02 Susanne Albers , Jens Quedenfeld

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…

Data Structures and Algorithms · Computer Science 2022-07-27 Anya Chaturvedi , Chandra Chekuri , Mengxue Liu , Andréa W. Richa , Mattias Rost , Stefan Schmid , Jamison Weber

A conservative flux postprocessing algorithm is presented for both steady-state and dynamic flow models. The postprocessed flux is shown to have the same convergence order as the original flux. An arbitrary flux approximation is projected…

Numerical Analysis · Mathematics 2017-10-20 Lars H. Odsæter , Mary F. Wheeler , Trond Kvamsdal , Mats G. Larson