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This paper introduces $\Delta$-MILP, a powerful variant of the mixed-integer linear programming (MILP) optimization framework to solve NASA's Deep Space Network (DSN) scheduling problem. This work is an extension of our original MILP…

Optimization and Control · Mathematics 2022-04-27 Thomas Claudet , Ryan Alimo , Edwin Goh , Mark Johnston , Ramtin Madani , Brian Wilson

Several classical combinatorial problems have been considered and analysed on temporal graphs. Recently, a variant of Vertex Cover on temporal graphs, called MinTimelineCover, has been introduced to summarize timeline activities in social…

Data Structures and Algorithms · Computer Science 2023-07-04 Riccardo Dondi , Manuel Lafond

We study a network design problem (NDP) where the planner aims at selecting the optimal single-link intervention on a transportation network to minimize the travel time under Wardrop equilibrium flows. Our first result is that, if the delay…

Computer Science and Game Theory · Computer Science 2022-11-15 Leonardo Cianfanelli , Giacomo Como , Asuman Ozdaglar , Francesca Parise

This paper studies strategies to optimize the lane configuration of a transportation network for a given set of Origin-Destination demands using a planning macroscopic network flow model. The lane reversal problem is, in general, NP-hard…

Optimization and Control · Mathematics 2021-07-16 Salomon Wollenstein-Betech , Ioannis Ch. Paschalidis , Christos G. Cassandras

The INFORMS RAS 2019 Problem Solving Competition is focused on the integrated train blocking and shipment path (TBSP) optimization for tonnage-based operating railways. In nature, the TBSP problem could be viewed as a multi-commodity…

Optimization and Control · Mathematics 2019-10-01 Chongshuang Chen , Jun Zhao

The size and complexity of modern astronomical surveys has grown to the point where, in many cases, traditional human scheduling of observations are tedious at best and impractical at worst. Automated scheduling algorithms present an…

Instrumentation and Methods for Astrophysics · Physics 2023-10-31 Luke B. Handley , Erik A. Petigura , Velibor V. Misic

Short integer linear programs are programs with a relatively small number of constraints. We show how recent improvements on the running-times of solvers for such programs can be used to obtain fast pseudo-polynomial time algorithms for…

Data Structures and Algorithms · Computer Science 2026-02-09 Danny Hermelin , Dvir Shabtay

While traditional optimization problems were often studied in isolation, many real-world problems today require interdependence among multiple optimization components. The traveling thief problem (TTP) is a multi-component problem that has…

Neural and Evolutionary Computing · Computer Science 2026-04-09 Helen Yuliana Angmalisang , Frank Neumann

We introduce the TemporallyEdgeDisjointScheduleCompletion (TEDSC) problem in which we need to cover a set of temporal edge demands $D$ by routing $k$ temporal walks through a directed static graph while remaining temporally edge disjoint.…

Data Structures and Algorithms · Computer Science 2026-05-07 Michelle Döring , Niklas Mohrin , George Skretas

Temporal graphs arise when modeling interactions that evolve over time. They usually come in several flavors, depending on the number of parameters used to describe the temporal aspects of the interactions: time of appearance, duration,…

Data Structures and Algorithms · Computer Science 2026-01-26 Guillaume Aubian , Filippo Brunelli , Feodor F Dragan , Guillaume Ducoffe , Michel Habib , Allen Ibiapina , Laurent Viennot

We define a new problem called the Vehicle Scheduling Problem (VSP). The goal is to minimize an objective function, such as the number of tardy vehicles over a transportation network subject to maintaining safety distances, meeting hard…

Robotics · Computer Science 2020-01-28 Mirmojtaba Gharibi , Steven L. Waslander , Raouf Boutaba

During the pandemic of COVID-19, the demand of the transportation systems are drastically changed both qualitatively and quantitatively and the network has become obsolete. In this article, we study the problem of finding an optimal…

Discrete Mathematics · Computer Science 2021-05-07 Matthieu Guillot , El-Houssaine Aghezzaf , Nour-Eddin El Faouzi , Angelo Furno

Most transportation networks are inherently temporal: Connections (e.g. flights, train runs) are only available at certain, scheduled times. When transporting passengers or commodities, this fact must be considered for the the planning of…

Data Structures and Algorithms · Computer Science 2022-01-17 Eugen Füchsle , Hendrik Molter , Rolf Niedermeier , Malte Renken

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…

Optimization and Control · Mathematics 2013-05-01 Marzieh Parandehgheibi , Hyang-Won Lee , Eytan Modiano

Inland waterway transportation network significantly supports the overall freight transportation of the nation. In order to ensure efficient and timely commodity transportation through this network, this study aims at developing a reliable…

Systems and Control · Electrical Eng. & Systems 2021-01-26 Amin Aghalari , Farjana Nur , Mohammad Marufuzzaman , Stephen M. Puryear

We propose a novel way of generalizing the class of interval graphs, via a graph width parameter called the simultaneous interval number. This parameter is related to the simultaneous representation problem for interval graphs and defined…

Discrete Mathematics · Computer Science 2024-04-17 Jesse Beisegel , Nina Chiarelli , Ekkehard Köhler , Martin Milanič , Peter Muršič , Robert Scheffler

In 2005 Kumar studied the Restricted Disjunctive Temporal Problem (RDTP), a restricted but very expressive class of disjunctive temporal problems (DTPs). It was shown that that RDTPs are solvable in deterministic strongly-polynomial time by…

Computational Complexity · Computer Science 2018-08-07 Carlo Comin , Romeo Rizzi

Many problems of interest for cyber-physical network systems can be formulated as Mixed Integer Linear Programs in which the constraints are distributed among the agents. In this paper we propose a distributed algorithm to solve this class…

Optimization and Control · Mathematics 2017-12-06 Andrea Testa , Alessandro Rucco , Giuseppe Notarstefano

In this work, we follow the current trend on temporal graph realization, where one is given a property P and the goal is to determine whether there is a temporal graph, that is, a graph where the edge set changes over time, with property P…

Data Structures and Algorithms · Computer Science 2025-10-03 Justine Cauvi , Nils Morawietz , Laurent Viennot

In this work we consider \emph{temporal networks}, i.e. networks defined by a \emph{labeling} $\lambda$ assigning to each edge of an \emph{underlying graph} $G$ a set of \emph{discrete} time-labels. The labels of an edge, which are natural…

Discrete Mathematics · Computer Science 2018-07-02 George B. Mertzios , Othon Michail , Paul G. Spirakis