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The quadratic shortest path problem is the problem of finding a path in a directed graph such that the sum of interaction costs over all pairs of arcs on the path is minimized. We derive several semidefinite programming relaxations for the…

最优化与控制 · 数学 2017-08-23 Hao Hu , Renata Sotirov

We introduce a method for efficiently computing the exact shortest path to the boundary of a mesh from a given internal point in the presence of self-intersections. We provide a formal definition of shortest boundary paths for…

图形学 · 计算机科学 2023-05-18 He Chen , Elie Diaz , Cem Yuksel

A problem studied in Systems Biology is how to find shortest paths in metabolic networks. Unfortunately, simple (i.e., graph theoretic) shortest paths do not properly reflect biochemical facts. An approach to overcome this issue is to use…

数据结构与算法 · 计算机科学 2010-12-23 Sandor Fekete , Tom Kamphans , Michael Stelzer

The shortest path problem in graphs is a cornerstone of AI theory and applications. Existing algorithms generally ignore edge weight computation time. We present a generalized framework for weighted directed graphs, where edge weight can be…

数据结构与算法 · 计算机科学 2024-02-20 Eyal Weiss , Ariel Felner , Gal A. Kaminka

Solving the Multi-Agent Path Finding (MAPF) problem optimally is known to be NP-Hard for both make-span and total arrival time minimization. While many algorithms have been developed to solve MAPF problems, there is no dominating optimal…

多智能体系统 · 计算机科学 2024-12-20 Jingyao Ren , Vikraman Sathiyanarayanan , Eric Ewing , Baskin Senbaslar , Nora Ayanian

Reconfiguring two shortest paths in a graph means modifying one shortest path to the other by changing one vertex at a time so that all the intermediate paths are also shortest paths. This problem has several natural applications, namely:…

数据结构与算法 · 计算机科学 2021-12-15 Kshitij Gajjar , Agastya Vibhuti Jha , Manish Kumar , Abhiruk Lahiri

In this paper, we present two tensor network quantum-inspired algorithms to solve the knapsack and the shortest path problems, and enables to solve some of its variations. These methods provide an exact equation which returns the optimal…

We study a scenario for route planning in road networks, where the objective to be optimized may change between every shortest path query. Since this invalidates many of the known speedup techniques for road networks that are based on…

数据结构与算法 · 计算机科学 2015-09-11 Julian Dibbelt , Ben Strasser , Dorothea Wagner

Resource constrained shortest path problems are usually solved thanks to a smart enumeration of all the non-dominated paths. Recent improvements of these enumeration algorithms rely on the use of bounds on path resources to discard partial…

数据结构与算法 · 计算机科学 2017-02-16 Axel Parmentier

In pursuit of higher energy efficiency in computer networks, one subfield of green traffic engineering aims at reducing the size of a network during times of low traffic, while still guaranteeing the ability to route all occurring demands.…

数据结构与算法 · 计算机科学 2026-05-08 Markus Chimani , Max Ilsen

While the shortest path problem has myriad applications, the computational efficiency of suitable algorithms depends intimately on the underlying problem domain. In this paper, we focus on domains where evaluating the edge weight function…

数据结构与算法 · 计算机科学 2016-06-15 Christopher M. Dellin , Siddhartha S. Srinivasa

Planning for Autonomous Unmanned Ground Vehicles (AUGV) is still a challenge, especially in difficult, off-road, critical situations. Automatic planning can be used to reach mission objectives, to perform navigation or maneuvers. Most of…

人工智能 · 计算机科学 2021-08-03 Kevin Osanlou , Christophe Guettier , Andrei Bursuc , Tristan Cazenave , Eric Jacopin

In this paper, we study the computation of shortest paths within the \emph{geometric amoebot model}, a commonly used model for programmable matter. Shortest paths are essential for various tasks and therefore have been heavily investigated…

分布式、并行与集群计算 · 计算机科学 2024-02-20 Andreas Padalkin , Christian Scheideler

In this invited contribution, we revisit the stochastic shortest path problem, and show how recent results allow one to improve over the classical solutions: we present algorithms to synthesize strategies with multiple guarantees on the…

计算机科学中的逻辑 · 计算机科学 2014-11-05 Mickael Randour , Jean-François Raskin , Ocan Sankur

Querying the shortest path between two vertexes is a fundamental operation in a variety of applications, which has been extensively studied over static road networks. However, in reality, the travel costs of road segments evolve over time,…

数据库 · 计算机科学 2023-03-08 Zengyang Gong , Yuxiang Zeng , Lei Chen

We present a comparative study of the application of a recently introduced heuristic algorithm to the optimization of transport on three major types of complex networks. The algorithm balances network traffic iteratively by minimizing the…

无序系统与神经网络 · 物理学 2007-07-12 Bogdan Danila , Yong Yu , John A. Marsh , Kevin E. Bassler

Optimization networks are a new methodology for holistically solving interrelated problems that have been developed with combinatorial optimization problems in mind. In this contribution we revisit the core principles of optimization…

In several multiobjective decision problems Pairwise Comparison Matrices (PCM) are applied to evaluate the decision variants. The problem that arises very often is the inconsistency of a given PCM. In such a situation it is important to…

最优化与控制 · 数学 2024-12-10 Marcin Anholcer , Janos Fülöp

We consider protection problems in multilayer networks. In single-layer networks, a pair of disjoint paths can be used to provide protection for a source-destination pair. However, this approach cannot be directly applied to layered…

最优化与控制 · 数学 2013-05-01 Marzieh Parandehgheibi , Hyang-Won Lee , Eytan Modiano

Multi-layered social networks consist of the fixed set of nodes linked by multiple connections. These connections may be derived from different types of user activities logged in the IT system. To calculate any structural measures for…

社会与信息网络 · 计算机科学 2012-10-19 Piotr Bródka , Paweł Stawiak , Przemysław Kazienko