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相关论文: Minmax Regret 1-Sink for Aggregate Evacuation Time…

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In dynamic flow networks, every vertex starts with items (flow) that need to be shipped to designated sinks. All edges have two associated quantities: length, the amount of time required for a particle to traverse the edge, and capacity,…

数据结构与算法 · 计算机科学 2020-01-22 Mordecai Golin , Sai Sandeep

A dynamic path network is an undirected path with evacuees situated at each vertex. To evacuate the path, evacuees travel towards a designated sink (doorway) to exit. Each edge has a capacity, the number of evacuees that can enter the edge…

数据结构与算法 · 计算机科学 2014-04-23 Guru Prakash Arumugam , John Augustine , Mordecai J. Golin , Prashanth Srikanthan

This paper considers the minimax regret 1-median problem in dynamic path networks. In our model, we are given a dynamic path network consisting of an undirected path with positive edge lengths, uniform positive edge capacity, and…

数据结构与算法 · 计算机科学 2015-09-28 Yuya Higashikawa , Siu-Wing Cheng , Tsunehiko Kameda , Naoki Katoh , Shun Saburi

A dynamic flow network $G$ with uniform capacity $c$ is a graph in which at most $c$ units of flow can enter an edge in one time unit. If flow enters a vertex faster than it can leave, congestion occurs. The evacuation problem is to…

数据结构与算法 · 计算机科学 2025-07-28 Mordecai J. Golin , Sai Sandeep

This paper addresses the minmax regret 1-sink location problem on dynamic flow path networks with parametric weights. We are given a dynamic flow network consisting of an undirected path with positive edge lengths, positive edge capacities,…

数据结构与算法 · 计算机科学 2020-11-30 Tetsuya Fujie , Yuya Higashikawa , Naoki Katoh , Junichi Teruyama , Yuki Tokuni

We consider the problem of locating a set of $k$ sinks on a path network with general edge capacities that minimizes the sum of the evacuation times of all evacuees. We first present an $O(kn\log^4n)$ time algorithm when the edge capacities…

数据结构与算法 · 计算机科学 2018-10-26 Robert Benkoczi , Binay Bhattacharya , Yuya Higashikawa , Tsunehiko Kameda , Naoki Katoh

This paper considers the k-sink location problem in dynamic path networks. In our model, a dynamic path network consists of an undirected path with positive edge lengths, uniform edge capacity, and positive vertex supplies. Here, each…

数据结构与算法 · 计算机科学 2014-05-23 Yuya Higashikawa , Mordecai J. Golin , Naoki Katoh

We address the facility location problems on dynamic flow path networks. A dynamic flow path network consists of an undirected path with positive edge lengths, positive edge capacities, and positive vertex weights. A path can be considered…

数据结构与算法 · 计算机科学 2020-10-13 Yuya Higashikawa , Naoki Katoh , Junichi Teruyama , Koji Watase

A dynamic flow network consists of a directed graph, where nodes called sources represent locations of evacuees, and nodes called sinks represent locations of evacuation facilities. Each source and each sink are given supply representing…

数据结构与算法 · 计算机科学 2023-08-30 Yuya Higashikawa , Ayano Nishii , Junichi Teruyama , Yuki Tokuni

Let $G=(V,E)$ be a graph modelling a building or road network in which edges have-both travel times (lengths) and capacities associated with them. An edge's capacity is the number of people that can enter that edge in a unit of time. In…

数据结构与算法 · 计算机科学 2016-07-28 Di Chen , Mordecai Golin

A Dynamic Graph Network is a graph in which each edge has an associated travel time and a capacity (width) that limits the number of items that can travel in parallel along that edge. Each vertex in this dynamic graph network begins with…

数据结构与算法 · 计算机科学 2016-06-24 Guru Prakash Arumugam , John Augustine , Mordecai J. Golin , Yuya Higashikawa , Naoki Katoh , Prashanth Srikanthan

Emergency evacuation is the process of movement of people away from the threat or actual occurrence of hazards such as natural disasters, terrorist attacks, fires and bombs. In this paper, we focus on evacuation from a building, but the…

数据结构与算法 · 计算机科学 2016-05-05 Gopinath Mishra , Subhra Mazumdar , Arindam Pal

In this paper, we propose new algorithms for evacuation problems defined on dynamic flow networks. A dynamic flow network is a directed graph in which source nodes are given supplies (i.e., the number of evacuees) and a single sink node is…

数据结构与算法 · 计算机科学 2023-03-01 Yuya Higashikawa , Naoki Katoh , Junichi Teruyama , Yuki Tokuni

This paper addresses safe distributed online optimization over an unknown set of linear safety constraints. A network of agents aims at jointly minimizing a global, time-varying function, which is only partially observable to each…

最优化与控制 · 数学 2023-02-27 Ting-Jui Chang , Sapana Chaudhary , Dileep Kalathil , Shahin Shahrampour

In this research, we examine the minsum flow problem in dynamic path networks where flows are represented as discrete and weighted sets. The minsum flow problem has been widely studied for its relevance in finding evacuation routes during…

数据结构与算法 · 计算机科学 2024-07-03 Bubai Manna , Bodhayan Roy , Vorapong Suppakitpaisarn

We present a novel approach to finding the $k$-sink on dynamic path networks with general edge capacities. Our first algorithm runs in $O(n \log n + k^2 \log^4 n)$ time, where $n$ is the number of vertices on the given path, and our second…

数据结构与算法 · 计算机科学 2016-09-07 Binay Bhattacharya , Mordecai J. Golin , Yuya Higashikawa , Tsunehiko Kameda , Naoki Katoh

A new algorithm for regret minimization in online convex optimization is described. The regret of the algorithm after $T$ time periods is $O(\sqrt{T \log T})$ - which is the minimum possible up to a logarithmic term. In addition, the new…

机器学习 · 计算机科学 2023-07-24 Elad Hazan , Nimrod Megiddo

Exit paths in buildings are designed to minimise evacuation time when the building is at full capacity. We present an evacuation support system which does this regardless of the number of evacuees. The core concept is to even-out congestion…

系统与控制 · 计算机科学 2013-12-03 Antoine Desmet , Erol Gelenbe

This paper considers the distributed online convex-concave optimization with constraint sets over a multiagent network, in which each agent autonomously generates a series of decision pairs through a designable mechanism to cooperatively…

最优化与控制 · 数学 2025-08-14 Wentao Zhang , Baoyong Zhang , Deming Yuan , Shengyuan Xu , Vincent K. N. Lau

This paper addresses the estimation of a time- varying parameter in a network. A group of agents sequentially receive noisy signals about the parameter (or moving target), which does not follow any particular dynamics. The parameter is not…

最优化与控制 · 数学 2016-03-03 Shahin Shahrampour , Alexander Rakhlin , Ali Jadbabaie
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