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The maximum multicommodity flow problem is a natural generalization of the maximum flow problem to route multiple distinct flows. Obtaining a $1-\epsilon$ approximation to the multicommodity flow problem on graphs is a well-studied problem.…

数据结构与算法 · 计算机科学 2012-05-09 Jonathan A. Kelner , Gary Miller , Richard Peng

In this paper it presents, develops and discusses the existence of a process with long scope memory structure, representing of the independence between the degree of randomness of the traffic generated by the sources and flow pattern…

物理与社会 · 物理学 2021-04-01 G. Millán

We study the problem of communicating over a single-source single-terminal network in the presence of an adversary that may jam a single link of the network. If any one of the edges can be jammed, the capacity of such networks is well…

信息论 · 计算机科学 2014-10-09 Wentao Huang , Tracey Ho , Michael Langberg , Joerg Kliewer

We consider the robust version of a multi-commodity network flow problem. The robustness is defined with respect to the deletion, or failure, of edges. While the flow problem itself is a polynomially-sized linear program, its robust version…

最优化与控制 · 数学 2025-04-25 Artyom Klyuchikov , Roland Hildebrand , Sergei Protasov , Alexander Rogozin , Alexei Chernov

This paper presents a solver-friendly logic-based mixed-integer nonlinear programming model (LB-MINLP) to solve economic dispatch (ED) problems considering disjoint operating zones and valve-point effects. A simultaneous consideration of…

Modern networks run "middleboxes" that offer services ranging from network address translation and server load balancing to firewalls, encryption, and compression. In an industry trend known as Network Functions Virtualization (NFV), these…

数据结构与算法 · 计算机科学 2018-02-27 Moses Charikar , Yonatan Naamad , Jennifer Rexford , X. Kelvin Zou

Multi-step reasoning tasks like mathematical problem solving are vulnerable to cascading failures, where a single incorrect step leads to complete solution breakdown. Current LLM routing methods assign entire queries to one model, treating…

人工智能 · 计算机科学 2026-04-16 Vansh Kapoor , Aman Gupta , Hao Chen , Anurag Beniwal , Jing Huang , Aviral Kumar

Machine learning tasks entail the use of complex computational pipelines to reach quantitative and qualitative conclusions. If some of the activities in a pipeline produce erroneous or uninformative outputs, the pipeline may fail or produce…

机器学习 · 计算机科学 2020-02-13 Raoni Lourenço , Juliana Freire , Dennis Shasha

Nash flows over time describe the behavior of selfish users eager to reach their destination as early as possible while traveling along the arcs of a network with capacities and transit times. Throughout the past decade, they have been…

计算机科学与博弈论 · 计算机科学 2020-10-06 Leon Sering , Martin Skutella

In this work we compare several new computational approaches to an inventory routing problem, in which a single product is shipped from a warehouse to retailers via an uncapacitated vehicle. We survey exact algorithms for the Traveling…

最优化与控制 · 数学 2020-07-30 Yasemin Malli , Marco Laumanns , Roberto Rossi , Steven Prestwich , S. Armagan Tarim

We are interested in how to best communicate a real valued source to a number of destinations (sinks) over a network with capacity constraints in a collective fidelity metric over all the sinks, a problem which we call joint network-source…

信息论 · 计算机科学 2007-07-13 Nima Sarshar , Xiaolin Wu

The rapid proliferation of omnichannel retail strategies has fundamentally transformed store replenishment operations in uncertain supply chain environments. With retail stores increasingly acting as hybrid fulfillment centers, pooled…

最优化与控制 · 数学 2026-05-05 Abdüssamet Sökel

This paper presents a mathematical model for the routing of multicommodity freight in an intermodal network under disruptions. A stochastic mixed-integer program was formulated to minimize not only operational costs of various modes and…

最优化与控制 · 数学 2024-02-05 Majbah Uddin , Nathan Huynh

Origin-Destination Matrix (ODM) estimation is a classical problem in transport engineering aiming to recover flows from every Origin to every Destination from measured traffic counts and a priori model information. In addition to traffic…

In a distributed clustering algorithm introduced by Coffman, Courtois, Gilbert and Piret \cite{coffman91}, each vertex of $\mathbb{Z}^d$ receives an initial amount of a resource, and, at each iteration, transfers all of its resource to the…

概率论 · 数学 2010-08-17 J. van den Berg , M. R. Hilário , Alexander E. Holroyd

A novel approach for solving linear estimation problem in multi-user massive MIMO systems is proposed. In this approach, the difficulty of matrix inversion is attributed to the incomplete definition of the dot product. The general…

系统与控制 · 计算机科学 2015-04-29 Muhammad Ali Raza Anjum

The Multiple-Depot Vehicle Scheduling Problem (MDVSP) is very important in the planning process of transport systems. It consists in assigning a set of trips to a set of vehicles in order to minimize a certain total cost. We introduce three…

最优化与控制 · 数学 2020-05-01 Emanuel Florentin Olariu , Cristian Frasinaru

The dynamic monitoring of commuting flows is crucial for improving transit systems in fast-developing cities around the world. However, existing methodology to infer commuting originations and destinations have to either rely on large-scale…

社会与信息网络 · 计算机科学 2020-06-02 Yan Leng , Haris Koutsopoulos , Jinhua Zhao

This paper addresses a multi-period line planning problem in an integrated passenger-freight railway system, aiming to maximize profit while serving passengers and freight using a combination of dedicated passenger trains, dedicated freight…

最优化与控制 · 数学 2024-09-13 Wanru Chen , Rolf N. van Lieshout , Dezhi Zhang , Tom Van Woensel

We study the solution of a large-scale transportation problem with an additional constraint on the sparsity of inbound flows. Such problems arise in the management of inventory for online retailers that operate with many order fulfillment…

最优化与控制 · 数学 2014-02-12 Annie I. Chen , Stephen C. Graves