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This paper presents an efficient Mixed-Integer Nonlinear Programming (MINLP) formulation for systems with discrete control inputs under dwell time constraints. By viewing such systems as a switched system, the problem is decomposed into a…

Optimization and Control · Mathematics 2025-01-10 Ramin Abbasi-Esfeden , Armin Nurkanovic , Moritz Diehl , Panagiotis Patrinos , Jan Swevers

Linear diagrams are an effective way to visualize set-based data by representing elements as columns and sets as rows with one or more horizontal line segments, whose vertical overlaps with other rows indicate set intersections and their…

Computational Geometry · Computer Science 2022-08-18 Alexander Dobler , Martin Nöllenburg

Given a weighted graph $G(V,E)$ and $t \ge 1$, a subgraph $H$ is a \emph{$t$--spanner} of $G$ if the lengths of shortest paths in $G$ are preserved in $H$ up to a multiplicative factor of $t$. The \emph{subsetwise spanner} problem aims to…

Discrete Mathematics · Computer Science 2019-04-03 Reyan Ahmed , Keaton Hamm , Mohammad Javad Latifi Jebelli , Stephen Kobourov , Faryad Darabi Sahneh , Richard Spence

A graph is temporally connected if there exists a strict temporal path, i.e. a path whose edges have strictly increasing labels, from every vertex $u$ to every other vertex $v$. In this paper we study temporal design problems for undirected…

Data Structures and Algorithms · Computer Science 2022-05-03 Nina Klobas , George B. Mertzios , Hendrik Molter , Paul G. Spirakis

This paper extends our previous work in [1],[2], on optimal scheduling of autonomous vehicle arrivals at intersections, from one to a grid of intersections. A scalable distributed Mixed Integer Linear Program (MILP) is devised that solves…

Systems and Control · Electrical Eng. & Systems 2020-07-15 Faraz Ashtiani , S. Alireza Fayazi , Ardalan Vahidi

We introduce a theorem proving approach to the specification and generation of temporal logical constraints for training neural networks. We formalise a deep embedding of linear temporal logic over finite traces (LTL$_f$) and an associated…

Artificial Intelligence · Computer Science 2022-07-11 Mark Chevallier , Matthew Whyte , Jacques D. Fleuriot

Telescope networks are gaining traction due to their promise of higher resource utilization than single telescopes and as enablers of novel astronomical observation modes. However, as telescope network sizes increase, the possibility of…

Instrumentation and Methods for Astrophysics · Physics 2015-03-26 Sotiria Lampoudi , Eric Saunders , Jason Eastman

The betweenness centrality of a vertex v is an important centrality measure that quantifies how many optimal paths between pairs of other vertices visit v. Computing betweenness centrality in a temporal graph, in which the edge set may…

Data Structures and Algorithms · Computer Science 2023-02-23 Jessica Enright , Kitty Meeks , Hendrik Molter

Due to the rapid development of Internet of Things (IoT) technologies, many online web apps (e.g., Google Map and Uber) estimate the travel time of trajectory data collected by mobile devices. However, in reality, complex factors, such as…

Artificial Intelligence · Computer Science 2022-06-22 Zhiwen Zhang , Hongjun Wang , Zipei Fan , Jiyuan Chen , Xuan Song , Ryosuke Shibasaki

In this paper we initiate the study of the temporal graph realization problem with respect to the fastest path durations among its vertices, while we focus on periodic temporal graphs. Given an $n \times n$ matrix $D$ and a $\Delta \in…

Data Structures and Algorithms · Computer Science 2024-05-02 Nina Klobas , George B. Mertzios , Hendrik Molter , Paul G. Spirakis

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

Simultaneous multi vibroseis vehicle operations are central to modern land seismic exploration and can be modeled as a Vehicle Routing Problem (VRP). A critical distinction from classical VRPs, however, is the need for a minimum start-time…

Optimization and Control · Mathematics 2025-08-11 Kexin Zhu , Jialong Shi , Jianyong Sun , Heng Zhou , Mingen Kuang , Ye Fan

The Resource-Constrained Project Scheduling Problem (RCPSP) is a classical scheduling problem that has received significant attention due to of its numerous applications in industry. However, in practice, task durations are subject to…

Artificial Intelligence · Computer Science 2025-11-18 Guillaume Infantes , Stéphanie Roussel , Antoine Jacquet , Emmanuel Benazera

In this paper, we address the problem of time-optimal coordination of mobile robots under kinodynamic constraints along specified paths. We propose a novel approach based on time discretization that leads to a mixed-integer linear…

Robotics · Computer Science 2017-04-06 Florent Altché , Xiangjun Qian , Arnaud de La Fortelle

We consider the Minimum Steiner Cut problem on undirected planar graphs with non-negative edge weights. This problem involves finding the minimum cut of the graph that separates a specified subset $X$ of vertices (terminals) into two parts.…

Data Structures and Algorithms · Computer Science 2020-01-01 Stephen Jue , Philip N. Klein

In modern transportation systems, an enormous amount of traffic data is generated every day. This has led to rapid progress in short-term traffic prediction (STTP), in which deep learning methods have recently been applied. In traffic…

Machine Learning · Computer Science 2020-09-03 Kyungeun Lee , Moonjung Eo , Euna Jung , Yoonjin Yoon , Wonjong Rhee

Intermittent time series, characterised by the presence of a significant amount of zeros, constitute a large percentage of inventory items in supply chain. Probabilistic forecasts are needed to plan the inventory levels; the predictive…

Machine Learning · Statistics 2026-01-21 Stefano Damato , Nicolò Rubattu , Dario Azzimonti , Giorgio Corani

Neural network-based solvers for partial differential equations (PDEs) have attracted considerable attention, yet they often face challenges in accuracy and computational efficiency. In this work, we focus on time-dependent PDEs and observe…

Numerical Analysis · Mathematics 2025-09-30 Guihong Wang , Zheng-An Chen , Tao Luo

This study introduces the Territory Design for Dynamic Multi-Period Vehicle Routing Problem with Time Windows (TD-DMPVRPTW), motivated by a real-world application at a food company's distribution center. This problem deals with the design…

Artificial Intelligence · Computer Science 2020-12-22 Hernán Lespay , Karol Suchan

This paper offers a contemporary and comprehensive perspective on the classical algorithms utilized for the solution of minimum-time problem for linear systems (MTPLS). The use of unified notations supported by visual geometric…

Optimization and Control · Mathematics 2024-10-29 M E Buzikov , A M Mayer