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To alleviate traffic congestion, a variety of route guidance strategies has been proposed for intelligent transportation systems. A number of the strategies are proposed and investigated on a symmetric two-route traffic system over the past…

Physics and Society · Physics 2022-04-13 Zhengbing He , Ning Jia , Wei Guan

We consider the problem of designing an overlay network and routing mechanism that permits finding resources efficiently in a peer-to-peer system. We argue that many existing approaches to this problem can be modeled as the construction of…

Data Structures and Algorithms · Computer Science 2007-05-23 James Aspnes , Zoe Diamadi , Gauri Shah

We consider single-source shortest path algorithms that perform a sequence of relaxation steps whose ordering depends only on the input graph structure and not on its weights or the results of prior steps. Each step examines one edge of the…

Data Structures and Algorithms · Computer Science 2023-05-17 David Eppstein

Learning heuristics for vehicle routing problems (VRPs) has gained much attention due to the less reliance on hand-crafted rules. However, existing methods are typically trained and tested on the same task with a fixed size and distribution…

Machine Learning · Computer Science 2023-06-21 Jianan Zhou , Yaoxin Wu , Wen Song , Zhiguang Cao , Jie Zhang

Standard representational similarity methods align each layer of a network to its best match in another independently, producing asymmetric results, lacking a global alignment score, and struggling with networks of different depths. These…

Machine Learning · Computer Science 2026-04-23 Shaan Shah , Meenakshi Khosla

We study a location-routing problem in the context of capacitated vehicle routing. The input is a set of demand locations in a metric space and a fleet of k vehicles each of capacity Q. The objective is to locate k depots, one for each…

Data Structures and Algorithms · Computer Science 2011-03-08 Inge Li Goertz , Viswanath Nagarajan

An universal primal-dual approach of description equilibriums in large class of hierarchical congestion population games is proposed. At the very core of the approach is hierarchy of enclosed to each other transport networks. In different…

Optimization and Control · Mathematics 2016-03-09 Alexander Gasnikov , Evgenia Gasnikova , Sergey Matsievsky , Inna Usik

Traditional navigation services find the fastest route for a single driver. Though always using the fastest route seems desirable for every individual, selfish behavior can have undesirable effects such as higher energy consumption and…

In this paper, we focus on an asynchronous distributed optimization problem. In our problem, each node is endowed with a convex local cost function, and is able to communicate with its neighbors over a directed communication network.…

Optimization and Control · Mathematics 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

In last-mile routing, the task of finding a route is often framed as a Traveling Salesman Problem to minimize travel time and associated cost. However, solutions stemming from this approach do not match the realized paths as drivers deviate…

Optimization and Control · Mathematics 2022-05-11 Mayukh Ghosh , Alex Kuiper , Roshan Mahes , Donato Maragno

This work considers infinite-horizon optimal control of positive linear systems applied to the case of network routing problems. We demonstrate the equivalence between Stochastic Shortest Path (SSP) problems and optimal control of a certain…

Optimization and Control · Mathematics 2026-02-17 David Ohlin , Anders Rantzer , Emma Tegling

To address the communication bottleneck problem in distributed optimization within a master-worker framework, we propose LocalNewton, a distributed second-order algorithm with local averaging. In LocalNewton, the worker machines update…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-18 Vipul Gupta , Avishek Ghosh , Michal Derezinski , Rajiv Khanna , Kannan Ramchandran , Michael Mahoney

The Split algorithm is an essential building block of route-first cluster-second heuristics and modern genetic algorithms for vehicle routing problems. The algorithm is used to partition a solution, represented as a giant tour without…

Data Structures and Algorithms · Computer Science 2018-05-08 Thibaut Vidal

Probabilistic sampling methods have become very popular to solve single-shot path planning problems. Rapidly-exploring Random Trees (RRTs) in particular have been shown to be efficient in solving high dimensional problems. Even though…

Artificial Intelligence · Computer Science 2009-12-02 Nicolas A. Barriga , Mauricio Araya-López

Single path routing that is currently used in the internet routers,is easy to implement as it simplifies the routing tables and packet flow paths. However it is not optimal and has shortcomings in utilizing the network resources optimally,…

Networking and Internet Architecture · Computer Science 2016-01-07 Rashmi Singh , Yatindra Nath Singh , Anita Yadav

We investigate the unicast problem for ad-hoc networks in the plane using MIMO techniques. In particular, we use the multi-node beamforming gain and present a self-synchronizing algorithm for the necessary carrier phase synchronization.…

Networking and Internet Architecture · Computer Science 2014-07-18 Thomas Janson , Christian Schindelhauer

We study the Potts model on locally tree-like random graphs of arbitrary degree distribution. Using a population dynamics algorithm we numerically solve the problem exactly. We confirm our results with simulations. Comparisons with a…

Statistical Mechanics · Physics 2009-11-10 G. C. M. A. Ehrhardt , M. Marsili

We study a class of cooperative multi-agent optimization problems, where each agent is associated with a local action vector and a local cost, and the goal is to cooperatively find the joint action profile that minimizes the average of the…

Optimization and Control · Mathematics 2021-02-24 Yujie Tang , Zhaolin Ren , Na Li

Recently, with the advancement of the GPS-enabled cellular technologies, the location-based services (LBS) have gained in popularity. Nowadays, an increasingly larger number of map-based applications enable users to ask a wider variety of…

Data Structures and Algorithms · Computer Science 2017-06-27 Radi Muhammad Reza , Mohammed Eunus Ali , Muhammad Aamir Cheema

Probabilistic sampling methods have become very popular to solve single-shot path planning problems. Rapidly-exploring Random Trees (RRTs) in particular have been shown to be very efficient in solving high dimensional problems. Even though…

Artificial Intelligence · Computer Science 2009-12-03 Nicolas A. Barriga , Mauricio Araya-López , Mauricio Solar