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We study the network pricing problem where the leader maximizes their revenue by determining the optimal amounts of tolls to charge on a set of arcs, under the assumption that the followers will react rationally and choose the shortest…

Optimization and Control · Mathematics 2025-04-01 Quang Minh Bui , Bernard Gendron , Margarida Carvalho

We study the electrical distribution network reconfiguration problem, defined as follows. We are given an undirected graph with a root vertex, demand at each non-root vertex, and resistance on each edge. Then, we want to find a spanning…

Data Structures and Algorithms · Computer Science 2024-12-20 Takehiro Ito , Naonori Kakimura , Naoyuki Kamiyama , Yusuke Kobayashi , Yoshio Okamoto

Path planning is a fundamental problem in road networks, with the goal of finding a path that optimizes objectives such as shortest distance or minimal travel time. Existing methods typically use graph indexing to ensure the efficiency of…

Data Structures and Algorithms · Computer Science 2024-12-10 Hanzhang Chen , Xiangzhi Zhang , Shufeng Gong , Feng Yao , Song Yu , Yanfeng Zhang , Ge Yu

A distributed network is modeled by a graph having $n$ nodes (processors) and diameter $D$. We study the time complexity of approximating {\em weighted} (undirected) shortest paths on distributed networks with a $O(\log n)$ {\em bandwidth…

Data Structures and Algorithms · Computer Science 2014-05-23 Danupon Nanongkai

With the advent of multi-core processors, network-on-chip design has been key in addressing network performances, such as bandwidth, power consumption, and communication delays when dealing with on-chip communication between the increasing…

Emerging Technologies · Computer Science 2018-08-01 Tzyy-Juin Kao , Wolfgang Fink

We provide universally-optimal distributed graph algorithms for $(1+\varepsilon)$-approximate shortest path problems including shortest-path-tree and transshipment. The universal optimality of our algorithms guarantees that, on any $n$-node…

Data Structures and Algorithms · Computer Science 2021-11-01 Goran Zuzic , Gramoz Goranci , Mingquan Ye , Bernhard Haeupler , Xiaorui Sun

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

This paper provides an optimized cable path planning solution for a tree-topology network in an irregular 2D manifold in a 3D Euclidean space, with an application to the planning of submarine cable networks. Our solution method is based on…

Systems and Control · Electrical Eng. & Systems 2021-05-05 Tianjiao Wang , Zengfu Wang , Bill Moran , Moshe Zukerman

This paper connects multi-agent path planning on graphs (roadmaps) to network flow problems, showing that the former can be reduced to the latter, therefore enabling the application of combinatorial network flow algorithms, as well as…

Data Structures and Algorithms · Computer Science 2015-03-20 Jingjin Yu , Steven M. LaValle

Efficient path planning for autonomous mobile robots is a critical problem across numerous domains, where optimizing both time and energy consumption is paramount. This paper introduces a novel methodology that considers the dynamic…

Robotics · Computer Science 2025-03-17 Víctor C. da S. Campos , Armando A. Neto , Douglas G. Macharet

Linear-parametric optimization, where multiple objectives are combined into a single objective using linear combinations with parameters as coefficients, has numerous links to other fields in optimization and a wide range of application…

Optimization and Control · Mathematics 2025-01-22 Levin Nemesch , Stefan Ruzika , Clemens Thielen , Alina Wittmann

In this paper we address several constrained transportation optimization problems (e.g. vehicle routing, shortest Hamiltonian path), for which we present novel algorithmic solutions and extensions, considering several optimization…

Data Structures and Algorithms · Computer Science 2009-03-24 Mugurel Ionut Andreica , Sorin Briciu , Madalina Ecaterina Andreica

The transient response of power grids to external disturbances influences their stable operation. This paper studies the effect of topology in linear time-invariant dynamics of different power grids. For a variety of objective functions, a…

Systems and Control · Computer Science 2017-03-03 Deepjyoti Deka , Harsha Nagarajan , Scott Backhaus

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

We study the problem of optimal multi-robot path planning on graphs MPP over four distinct minimization objectives: the makespan (last arrival time), the maximum (single-robot traveled) distance, the total arrival time, and the total…

Robotics · Computer Science 2015-07-14 Jingjin Yu , Steven M. LaValle

Corrective Transmission Switching can be used by the grid operator to relieve line overloading and voltage violations, improve system reliability, and reduce system losses. Power grid optimization by means of line switching is typically…

Systems and Control · Computer Science 2018-03-19 Shuai Wang , John Baillieul

We address the joint optimization of multiple stream joins in a scale-out architecture by tailoring prior work on multi-way stream joins to predicate-driven data partitioning schemes. We present an integer linear programming (ILP)…

Databases · Computer Science 2021-04-19 Manuel Dossinger , Sebastian Michel

In this paper we investigate real-time, dynamic traffic optimization in railway systems. In order to enable practical solution times, we operate the optimizer in a receding horizon fashion and with optimization horizons that are shorter…

Optimization and Control · Mathematics 2021-05-11 Robin Vujanic , Andrew Hill

Traffic congestion is one of the major challenges faced by the transportation industry. While this problem carries a high economical and environmental cost, the need for an efficient design of optimal paths for passengers in multilayer…

Physics and Society · Physics 2022-06-10 Abdullahi Adinoyi Ibrahim , Daniela Leite , Caterina De Bacco

Nonlinear optimization problems are found at the heart of real-time operations of critical infrastructures. These problems are computationally challenging because they embed complex physical models that exhibit space-time dynamics. We…

Optimization and Control · Mathematics 2026-05-11 Sungho Shin , Carleton Coffrin , Kaarthik Sundar , Victor M. Zavala