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The decision problems of the existence of a Hamiltonian cycle or of a Hamiltonian path in a given graph, and of the existence of a truth assignment satisfying a given Boolean formula $C$, are well-known {\it NP}-complete problems. Here we…

Computational Complexity · Computer Science 2022-05-13 Olivier Hudry , Antoine Lobstein

Motivated by the popularity of online ride and delivery services, we study natural variants of classical multi-vehicle minimum latency problems where the objective is to route a set of vehicles located at depots to serve request located on…

Data Structures and Algorithms · Computer Science 2018-02-09 Abhimanyu Das , Sreenivas Gollapudi , Anthony Kim , Debmalya Panigrahi , Chaitanya Swamy

Routing problems are often faced by companies who serve costumers through vehicles. Such problems have a challenging structure to optimize, despite the recent advances in combinatorial optimization. The goal of this project is to study and…

Neural and Evolutionary Computing · Computer Science 2018-09-03 Felipe F. Müller , Luis A. A. Meira

The request-trip-vehicle assignment problem is at the heart of a popular decomposition strategy for online vehicle routing. In this framework, assignments are done in batches in order to exploit any shareability among vehicles and incoming…

Data Structures and Algorithms · Computer Science 2021-08-03 J. Carlos Martínez Mori , Samitha Samaranayake

In this paper, we investigate a special case of the static aircraft landing problem (ALP) with the objective to optimize landing sequences and landing times for a set of air planes. The problem is to land the planes on one or multiple…

Data Structures and Algorithms · Computer Science 2016-11-18 Abhishek Awasthi , Oliver Kramer , Jörg Lässig

In the Minimum Clique Routing Problem on Cycles \textsc{MCRPC} we are given a cycle together with a set of demands (weighted origin-destination pairs) and the goal is to route all the pairs minimizing the maximum weighted clique of the…

Data Structures and Algorithms · Computer Science 2023-11-17 Mariana Escalante , Martín Matamala , Iván Rapaport , Paola Tolomei , Luis Miguel Torres

This paper addresses a new variant of the multi-trip single vehicle routing problem where the nodes are related to each other through AND-type precedence constraints. The problem aims at determining a sequence of trips to visit all the…

Optimization and Control · Mathematics 2021-06-04 Mina Roohnavazfar , Seyed Hamid Reza Pasandideh

In the last years, there has been a great interest in machine-learning-based heuristics for solving NP-hard combinatorial optimization problems. The developed methods have shown potential on many optimization problems. In this paper, we…

Optimization and Control · Mathematics 2022-12-19 Mouad Morabit , Guy Desaulniers , Andrea Lodi

A Hamiltonian decomposition of a regular graph is a partition of its edge set into Hamiltonian cycles. The problem of finding edge-disjoint Hamiltonian cycles in a given regular graph has many applications in combinatorial optimization and…

Combinatorics · Mathematics 2022-01-12 Andrey Kostenko , Andrei Nikolaev

Routing is a widespread approach to transfer information from a source node to a destination node in many deployed wireless ad-hoc networks. Today's implemented routing algorithms seek to efficiently find the path/route with the largest…

Information Theory · Computer Science 2018-10-16 Yahya H. Ezzeldin , Martina Cardone , Christina Fragouli , Daniela Tuninetti

The Multi-Objective Vehicle Routing Problem (MOVRP) is a complex optimization problem in the transportation and logistics industry. This paper proposes a novel approach to the MOVRP that aims to create routes that consider drivers' and…

Artificial Intelligence · Computer Science 2024-05-28 Juan Pablo Mesa , Alejandro Montoya , Raul Ramos-Pollán , Mauricio Toro

We study the demand-robust fleet size vehicle routing problem with time windows and compatibility constraints. Unlike traditional robust optimization, which considers uncertainty in the data, demand-robust optimization considers uncertainty…

Systems and Control · Electrical Eng. & Systems 2024-06-13 Jordan Makansi

We consider the following surveillance problem: Given a set $P$ of $n$ sites in a metric space and a set of $k$ robots with the same maximum speed, compute a patrol schedule of minimum latency for the robots. Here a patrol schedule…

Computational Geometry · Computer Science 2022-03-15 Peyman Afshani , Mark de Berg , Kevin Buchin , Jie Gao , Maarten Loffler , Amir Nayyeri , Benjamin Raichel , Rik Sarkar , Haotian Wang , Hao-Tsung Yang

We present an algorithm that, given a representation of a road network in lane-level detail, computes a route that minimizes the expected cost to reach a given destination. In doing so, our algorithm allows us to solve for the complex…

Robotics · Computer Science 2023-07-14 Mitchell Jones , Maximilian Haas-Heger , Jur van den Berg

Ride-hailing services have expanded the role of shared mobility in passenger transportation systems, creating new markets and creative planning solutions for major urban centers. In this paper, we consider their use for the first-mile or…

Optimization and Control · Mathematics 2022-03-29 Arvind U Raghunathan , David Bergman , John Hooker , Thiago Serra , Shingo Kobori

The $n$-vehicle exploration problem (NVEP) is a nonlinear unconstrained optimization problem. Given a fleet of $n$ vehicles with mid-trip refueling technique, the NVEP tries to find a sequence of $n$ vehicles to make one of the vehicles…

Computational Complexity · Computer Science 2024-09-17 Jinchuan Cui , Xiaoya Li

In this paper, we propose an efficient algorithm for the network slicing problem which attempts to map multiple customized virtual network requests (also called services) to a common shared network infrastructure and allocate network…

Information Theory · Computer Science 2023-02-14 Wei-Kun Chen , Ya-Feng Liu , Fan Liu , Yu-Hong Dai , Zhi-Quan Luo

Autonomous highway driving involves high-speed safety risks due to limited reaction time, where rare but dangerous events may lead to severe consequences. This places stringent requirements on trajectory planning in terms of both…

Robotics · Computer Science 2026-04-14 Yujia Lu , Chong Wei , Lu Ma , Lounis Adouane

Matching demand (riders) to supply (drivers) efficiently is a fundamental problem for ride-sharing platforms who need to match the riders (almost) as soon as the request arrives with only partial knowledge about future ride requests. A…

Optimization and Control · Mathematics 2025-08-07 Omar El Housni , Vineet Goyal , Oussama Hanguir , Clifford Stein

The paper addresses a variant of the Dial-A-Ride problem with additional features. It is referred to as the DARP with driver preferences, which attempts to determine a solution more driver-oriented by designing a short trip in a specific…

Optimization and Control · Mathematics 2024-06-10 Sana Ouasaid , Mohammed Saddoune