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We consider geometric instances of the Maximum Weighted Matching Problem (MWMP) and the Maximum Traveling Salesman Problem (MTSP) with up to 3,000,000 vertices. Making use of a geometric duality relationship between MWMP, MTSP, and the…

Data Structures and Algorithms · Computer Science 2007-05-23 Sandor P. Fekete , Henk Meijer , Andre Rohe , Walter Tietze

The optimal design of multi-target rendezvous and flyby missions is challenging due to the combination of traditional spacecraft trajectory optimization and high-dimensional combinatorial problems. This often requires large-scale global…

Instrumentation and Methods for Astrophysics · Physics 2025-01-24 Jack Yarndley , Harry Holt , Roberto Armellin

This article explores an approach to addressing the Close Enough Traveling Salesman Problem (CETSP). The objective is to streamline the mathematical formulation by introducing reformulations that approximate the Euclidean distances and…

Artificial Intelligence · Computer Science 2025-07-08 Hiba Bederina

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

Efficient utilization of cooperating robots in the assembly of aircraft structures relies on balancing the workload of the robots and ensuring collision-free scheduling. We cast this problem as that of allocating a large number of…

We combine ideas from uni-directional and bi-directional heuristic search, and approximation algorithms for the Traveling Salesman Problem, to develop a novel framework for a Multi-Goal Path Finding (MGPF) problem that provides a…

Artificial Intelligence · Computer Science 2021-03-17 Kenny Chour , Sivakumar Rathinam , Ramamoorthi Ravi

The template design problem (TDP) is a hard combinatorial problem with a high number of symmetries which makes solving it more complicated. A number of techniques have been proposed in the literature to optimise its resolution, ranging from…

Neural and Evolutionary Computing · Computer Science 2024-11-22 David Rodríguez Rueda , Carlos Cotta , Antonio J. Fernández-Leiva

Combining an energy-efficient drone with a high-capacity truck for last-mile package delivery can benefit operators and customers by reducing delivery times and environmental impact. However, directly integrating drone flight dynamics into…

Optimization and Control · Mathematics 2025-07-23 Yineng Sun , Armin Fügenschuh , Vikrant Vaze

In this paper, we study novel variants of the well-known two-echelon vehicle routing problem in which a truck works on the first echelon to transport parcels and a fleet of drones to intermediate depots while in the second echelon, the…

Artificial Intelligence · Computer Science 2020-04-07 Minh Hoàng Hà , Lam Vu , Duy Manh Vu

Given a fleet of drones with different speeds and a set of package delivery requests, the collaborative delivery problem asks for a schedule for the drones to collaboratively carry out all package deliveries, with the objective of…

Data Structures and Algorithms · Computer Science 2026-03-03 Thomas Erlebach , Kelin Luo , Wen Zhang

Consolidation of loose packages into transport units is a fundamental activity offered by logistics service-providers. Moving the transport units instead of loose packages is faster (with one movement only, multiple packages are loaded…

Optimization and Control · Mathematics 2022-10-24 Enrico Angelelli , Claudia Archetti , Lorenzo Peirano

The Mixed-Shelves Picker Routing Problem (MSPRP) is a fundamental challenge in warehouse logistics, where pickers must navigate a mixed-shelves environment to retrieve SKUs efficiently. Traditional heuristics and optimization-based…

Multiagent Systems · Computer Science 2025-02-17 Laurin Luttmann , Lin Xie

This paper works on heuristic solver for joint assignment and routing optimization problem. Study on previous works shows that MIP based exact solvers can only provide efficient solutions for small to moderate size problems, due to…

Combinatorics · Mathematics 2025-10-31 Yuan Qilong , Michal Pavelka

In the school bus scheduling problem, the main contributing factor to the cost is the number of buses needed for the operations. However, in the case of subcontracting the transportation of pupils, unbalanced tours can increase the costs…

Optimization and Control · Mathematics 2019-07-30 Ali Shafahi , Sanaz Aliari , Ali Haghani

Mixed Integer Programming (MIP) is NP-hard, and yet modern solvers often solve large real-world problems within minutes. This success can partially be attributed to heuristics. Since their behavior is highly instance-dependent, relying on…

Optimization and Control · Mathematics 2023-04-10 Antonia Chmiela , Ambros Gleixner , Pawel Lichocki , Sebastian Pokutta

In many industrial robotics applications, such as spot-welding, spray-painting or drilling, the robot is required to visit successively multiple targets. The robot travel time among the targets is a significant component of the overall…

Robotics · Computer Science 2017-10-06 Francisco Suárez-Ruiz , Teguh Santoso Lembono , Quang-Cuong Pham

Challenges in last-mile delivery have encouraged innovative solutions like crowdsourced delivery, where online platforms leverage the services of drivers who occasionally perform delivery tasks for compensation. A key challenge is that…

Optimization and Control · Mathematics 2026-03-23 Alim Buğra Çınar , Claudia Archetti , Wout Dullaert , Markus Leitner , Stefan Waldherr

With growing interest in sustainable logistics, electric vehicle (EV)-based deliveries offer a promising alternative for urban distribution. However, EVs face challenges due to their limited battery capacity, requiring careful planning for…

Artificial Intelligence · Computer Science 2025-08-05 Arindam Khanda , Anurag Satpathy , Amit Jha , Sajal K. Das

Packing and vehicle routing problems play an important role in the area of supply chain management. In this paper, we introduce a non-linear knapsack problem that occurs when packing items along a fixed route and taking into account travel…

Data Structures and Algorithms · Computer Science 2015-04-16 Sergey Polyakovskiy , Frank Neumann

This paper addresses the challenge of planning a sequence of tasks to be performed by multiple robots while minimizing the overall completion time subject to timing and precedence constraints. Our approach uses the Timed Partial Orders…

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