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Facility location problems aim to identify the best locations to set up new services. Majority of the existing works typically assume that the users are static. However, there exists a wide array of services such as fuel stations, ATMs,…

数据库 · 计算机科学 2019-08-05 Shubhadip Mitra , Priya Saraf , Arnab Bhattacharya

We discuss methods of Optimal Transportation Theory and its relations to problems in quantum mechanics. This essentially means that the cost function is some Hamiltonian $H(q,p)$ on a phase space (symplectic manifold), and the marginal…

数学物理 · 物理学 2018-08-20 Kurt Pagani

The problem of travel time estimation is widely considered as the fundamental challenge of modern logistics. The complex nature of interconnections between spatial aspects of roads and temporal dynamics of ground transport still preserves…

机器学习 · 计算机科学 2022-07-14 Natalia Semenova , Vadim Porvatov , Vladislav Tishin , Artyom Sosedka , Vladislav Zamkovoy

Commuting, like other types of human travel, is complex in nature, such as trip-chaining behavior involving making stops of multiple purposes between two anchors. According to the 2001 National Household Travel Survey, about one half of…

物理与社会 · 物理学 2020-08-26 Yujie Hu , Xiaopeng Li

Under Space Tower the author understands structures having height from 100 km to the geosynchronous orbit and supported by surface of Earths. The classical Space Elevator is not included in space towers. That has three main identifiers…

综合物理 · 物理学 2010-02-12 Mark Krinker

With the growing attention towards developing the multimodal transport system to enhance urban mobility, there is an increasing need to construct new, rebuild or expand existing infrastructure to facilitate existing and accommodate newly…

最优化与控制 · 数学 2020-05-20 Yu Jiang , Jiao Ye , Jun Chen

The wide spread use of positioning and photographing devices gives rise to a deluge of traffic trajectory data (e.g., vehicle passage records and taxi trajectory data), with each record having at least three attributes: object ID, location…

机器学习 · 计算机科学 2020-03-18 Meng Chen , Xiaohui Yu , Yang Liu

We consider two variational models for transport networks, an urban planning and a branched transport model, in which the degree of network complexity and ramification is governed by a small parameter $\varepsilon>0$. Smaller $\varepsilon$…

经典分析与常微分方程 · 数学 2017-11-16 Alessio Brancolini , Benedikt Wirth

We use mass-transportation as a tool to compare surfaces (2-manifolds). In particular, we determine the "similarity" of two given surfaces by solving a mass-transportation problem between their conformal densities. This mass transportation…

数值分析 · 数学 2010-03-19 Y. Lipman , I. Daubechies

This paper proposes a two-stage approach to formulate the time-optimal point-to-point motion planning problem, involving a first stage with a fixed time grid and a second stage with a variable time grid. The proposed approach brings…

机器人学 · 计算机科学 2024-03-07 Shuhao Zhang , Jan Swevers

This paper shows that a well designed transport system has an embedded exchange value by serving as a market for potential exchange between consumers. Under suitable conditions, one can improve the welfare of consumers in the system simply…

最优化与控制 · 数学 2011-03-04 Qinglan Xia , Shaofeng Xu

Optimizing the energy efficiency of driving processes provides valuable insights into the underlying physics and is of crucial importance for numerous applications, from biological processes to the design of machines and robots. Knowledge…

软凝聚态物质 · 物理学 2024-04-02 Sarah A. M. Loos , Samuel Monter , Felix Ginot , Clemens Bechinger

We study spatial networks that are designed to distribute or collect a commodity, such as gas pipelines or train tracks. We focus on the cost of a network, as represented by the total length of all its edges, and its efficiency in terms of…

无序系统与神经网络 · 物理学 2007-05-23 Michael T. Gastner , M. E. J. Newman

Human mobility prediction is vital for urban planning, transportation optimization, and personalized services. However, the inherent randomness, non-uniform time intervals, and complex patterns of human mobility, compounded by the…

机器学习 · 计算机科学 2025-11-11 Chonghua Han , Yuan Yuan , Yukun Liu , Jingtao Ding , Jie Feng , Yong Li

Transportation systems can be conceptualized as an instrument of spreading people and resources over the territory, playing an important role in developing sustainable cities. The current rationale of transport provision is based on…

物理与社会 · 物理学 2019-08-05 J. Siqueira-Gay , M. A. Giannotti , M. Sester

Optimal transport is a framework for comparing measures whereby a cost is incurred for transporting one measure to another. Recent works have aimed to improve optimal transport plans through the introduction of various forms of structure.…

机器学习 · 计算机科学 2022-06-30 Fabian Lim , Laura Wynter , Shiau Hong Lim

Models of spatial firm competition assume that customers are distributed in space and transportation costs are associated with their purchases of products from a small number of firms that are also placed at definite locations. It has been…

交易与市场微观结构 · 定量金融 2017-02-22 Alan Roncoroni , Matus Medo

We extend the usual notion of parallel transport along a path to triangulated surfaces. A homotopy of paths is lifted into a fibered category with connection and this defines a functor between the fibers above the boundary paths. These…

数学物理 · 物理学 2007-05-23 Romain Attal

Expected urban population doubling calls for a compelling theory of the city. Random walks and diffusions defined on spatial city graphs spot hidden areas of geographical isolation in the urban landscape going downhill. First--passage time…

物理与社会 · 物理学 2010-03-02 Ph. Blanchard , D. Volchenkov

The transport on top of a periodic two-dimensional hexagonal magnetic pattern of (i) a single macroscopic steel sphere, (ii) a doublet of wax/magnetite composite spheres, and (iii) an immiscible mixture of ferrofluid droplets with a…