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In this paper we introduce a new network reachability problem where the goal is to find the most reliable path between two nodes in a network, represented as a directed acyclic graph. Individual edges within this network may fail according…

数据结构与算法 · 计算机科学 2012-06-26 Allen Chang , Eyal Amir

The Survivable Network Design problem (SNDP) is a well-studied problem, motivated by the design of networks that are robust to faults under the assumption that any subset of edges up to a specific number can fail. We consider non-uniform…

数据结构与算法 · 计算机科学 2024-03-26 Chandra Chekuri , Rhea Jain

It has recently been shown that the NP-hard problem of calculating the minimum number of hybridization events that is needed to explain a set of rooted binary phylogenetic trees by means of a hybridization network is fixed-parameter…

种群与进化 · 定量生物学 2012-03-20 Leo van Iersel , Simone Linz

Increasing the connectivity of a graph is a pivotal challenge in robust network design. The weighted connectivity augmentation problem is a common version of the problem that takes link costs into consideration. The problem is then to find…

数据结构与算法 · 计算机科学 2024-02-13 Marcelo Fonseca Faraj , Ernestine Großmann , Felix Joos , Thomas Möller , Christian Schulz

Much combinatorial optimisation problems constitute a non-polynomial (NP) hard optimisation problem, i.e., they can not be solved in polynomial time. One such problem is finding the shortest route between two nodes on a graph.…

机器学习 · 统计学 2017-09-08 Alessandro Bay , Biswa Sengupta

In this paper, we study the problem of constructing a network by observing ordered connectivity constraints, which we define herein. These ordered constraints are made to capture realistic properties of real-world problems that are not…

数据结构与算法 · 计算机科学 2017-02-24 Yi Huang , Mano Vikash Janardhanan , Lev Reyzin

Nowadays hybrid evolutionary algorithms, i.e, heuristic search algorithms combining several mutation operators some of which are meant to implement stochastically a well known technique designed for the specific problem in question while…

神经与进化计算 · 计算机科学 2014-04-23 Boris Mitavskiy , Jun He

We present a learning-based approach to computing solutions for certain NP-hard problems. Our approach combines deep learning techniques with useful algorithmic elements from classic heuristics. The central component is a graph…

机器学习 · 计算机科学 2018-10-26 Zhuwen Li , Qifeng Chen , Vladlen Koltun

In the Survivable Network Design Problem (SNDP), the input is an edge-weighted (di)graph $G$ and an integer $r_{uv}$ for every pair of vertices $u,v\in V(G)$. The objective is to construct a subgraph $H$ of minimum weight which contains…

数据结构与算法 · 计算机科学 2017-01-12 Manu Basavaraju , Pranabendu Misra , M. S. Ramanujan , Saket Saurabh

Network models provide an efficient way to represent many real life problems mathematically. In the last few decades, the field of network optimization has witnessed an upsurge of interest among researchers and practitioners. The network…

人工智能 · 计算机科学 2021-03-16 Saibal Majumder

In this article, we study the complexity of the upgrading version of the maximal covering location problem with edge length modifications on networks. This problem is NP-hard on general networks. However, in some particular cases, we prove…

数据结构与算法 · 计算机科学 2024-09-19 Marta Baldomero-Naranjo , Jörg Kalcsics , Antonio M. Rodríguez-Chía

Decision-theoretic troubleshooting is one of the areas to which Bayesian networks can be applied. Given a probabilistic model of a malfunctioning man-made device, the task is to construct a repair strategy with minimal expected cost. The…

人工智能 · 计算机科学 2013-08-02 Václav Lín

We study the problem of robustly reconnecting habitats via the placement of green bridges at minimum total cost. Habitats are fragmented into patches and we seek to reconnect each habitat such that it remains connected even if any of its…

数据结构与算法 · 计算机科学 2026-02-24 Gero Ellmies , Till Fluschnik

We discuss multi-task online learning when a decision maker has to deal simultaneously with M tasks. The tasks are related, which is modeled by imposing that the M-tuple of actions taken by the decision maker needs to satisfy certain…

机器学习 · 统计学 2009-03-27 Gabor Lugosi , Omiros Papaspiliopoulos , Gilles Stoltz

In recent years, there has been increasing interest in explanation methods for neural model predictions that offer precise formal guarantees. These include abductive (respectively, contrastive) methods, which aim to compute minimal subsets…

机器学习 · 计算机科学 2023-05-03 Ouns El Harzli , Bernardo Cuenca Grau , Ian Horrocks

We propose an online heuristic algorithm for the problem of network slice placement optimization. The solution is adapted to support placement on large scale networks and integrates Edge-specific and URLLC constraints. We rely on an…

网络与互联网体系结构 · 计算机科学 2020-10-19 Jose Jurandir Alves Esteves , Amina Boubendir , Fabrice Guillemin , Pierre Sens

Hub Covering Problems arise in various practical domains, such as urban planning, cargo delivery systems, airline networks, telecommunication network design, and e-mobility. The task is to select a set of hubs that enable tours between…

离散数学 · 计算机科学 2025-03-05 Niklas Jost

Network reliability measures the probability that a target node is reachable from a source node in an uncertain graph, i.e., a graph where every edge is associated with a probability of existence. In this paper, we investigate the novel and…

数据库 · 计算机科学 2020-05-26 Xiangyu Ke , Arijit Khan , Mohammad Al Hasan , Rojin Rezvansangsari

We study the computational complexity of routing multiple objects through a network in such a way that only few collisions occur: Given a graph $G$ with two distinct terminal vertices and two positive integers $p$ and $k$, the question is…

计算复杂性 · 计算机科学 2017-05-11 Till Fluschnik , Marco Morik , Manuel Sorge

We present three new complexity results for classes of planning problems with simple causal graphs. First, we describe a polynomial-time algorithm that uses macros to generate plans for the class 3S of planning problems with binary state…

人工智能 · 计算机科学 2011-11-02 Omer Giménez , Anders Jonsson