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The drone delivery problem (DDP) has been introduced to include aerial vehicles in last-mile delivery operations to increase efficiency. However, the existing studies have not incorporated the communication quality requirements of such a…

Optimization and Control · Mathematics 2022-03-14 Cihan Tugrul Cicek , Çağrı Koç , Hakan Gultekin , Güneş Erdoğan

The use of drones in logistics is gaining more and more interest, and drones are becoming a more viable and common way of distributing parcels in an urban environment. As a consequence, there is a flourishing production of articles in the…

Discrete Mathematics · Computer Science 2021-07-29 Mauro Dell'Amico , Roberto Montemanni , Stefano Novellani

The Multiple Traveling Salesman Problem (MTSP) extends the traveling salesman problem by assigning multiple salesmen to visit a set of targets from a common depot, with each target visited exactly once while minimizing total tour length. A…

Optimization and Control · Mathematics 2026-04-28 Abhay Singh Bhadoriya , Deepjyoti Deka , Kaarthik Sundar

We address the Diverse Traveling Salesman Problem (D-TSP), a bi-criteria optimization challenge that seeks a set of $k$ distinct TSP tours. The objective requires every selected tour to have a length at most $c|T^*|$ (where $|T^*|$ is the…

Computational Geometry · Computer Science 2026-01-12 Hao-Tsung Yang , Ssu-Yuan Lo , Kuan-Lun Chen , Ching-Kai Wang

Nowadays swarm intelligence-based algorithms are being used widely to optimize the dynamic traveling salesman problem (DTSP). In this paper, we have used mixed method of Ant Colony Optimization (AOC)and gradient descent to optimize DTSP…

Neural and Evolutionary Computing · Computer Science 2013-07-30 Farhad Soleimanian Gharehchopogh , Isa Maleki , Seyyed Reza Khaze

In this article, a heuristic is proposed for a min-max heterogeneous multi-vehicle multi-depot traveling salesman problem (TSP), wherein heterogeneous vehicles start from given depot positions and need to cover a given set of targets. The…

Optimization and Control · Mathematics 2024-01-01 Deepak Prakash Kumar , Sivakumar Rathinam , Swaroop Darbha , Trevor Bihl

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 dynamic vehicle routing problem with time windows (DVRPTW) is a generalization of the classical VRPTW to an online setting, where customer data arrives in batches and real-time routing solutions are required. In this paper we adapt the…

Neural and Evolutionary Computing · Computer Science 2023-07-27 Mohammed Ghannam , Ambros Gleixner

The Trigger Arc Traveling Salesman Problem (TA-TSP) extends the classical TSP by introducing dynamic arc costs that change when specific "trigger" arcs are traversed, modeling scenarios such as warehouse operations with compactable storage…

Artificial Intelligence · Computer Science 2025-10-08 Joan Salvà Soler , Grégoire de Lambertye

In this paper, we present a polynomial-sized linear programming formulation of the Traveling Salesman Problem (TSP). The proposed linear program is a network flow-based model. Numerical implementation issues and results are discussed. (The…

Computational Complexity · Computer Science 2014-07-11 Moustapha Diaby

The Uncertain Agile Earth Observation Satellite Scheduling Problem (UAEOSSP) is a novel combinatorial optimization problem and a practical engineering challenge that aligns with the current demands of space technology development. It…

Artificial Intelligence · Computer Science 2026-03-19 Junhua Xue , Yuning Chen , Mingyan Shao , Yangming Zhou , Qinghua Wu , Yingwu Chen

This paper proposes a novel freight multimodal transport problem with buses and drones, where buses are responsible for transporting parcels to lockers at bus stops for storage, while drones are used to deliver each parcel from the locker…

Discrete Mathematics · Computer Science 2025-06-13 E Su , Hu Qin , Jiliu Li , Rui Zhang

Ant Colony Algorithm (ACA) and Genetic Local Search (GLS) are two optimization algorithms that have been successfully applied to the Traveling Salesman Problem (TSP). In this paper we define new crossover operator then redefine ACAs ants as…

Neural and Evolutionary Computing · Computer Science 2014-11-13 Hassan Ismkhan

Many recent approximation algorithms for different variants of the traveling salesman problem (asymmetric TSP, graph TSP, s-t-path TSP) exploit the well-known fact that a solution of the natural linear programming relaxation can be written…

Discrete Mathematics · Computer Science 2016-01-06 Jens Vygen

We consider a vehicle routing problem which seeks to minimize cost subject to service level constraints on several groups of deliveries. This problem captures some essential challenges faced by a logistics provider which operates…

Optimization and Control · Mathematics 2017-06-13 Teobaldo Bulhões , Minh Hoàng Hà , Rafael Martinelli , Thibaut Vidal

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

We propose an end-to-end learning framework based on hierarchical reinforcement learning, called H-TSP, for addressing the large-scale Travelling Salesman Problem (TSP). The proposed H-TSP constructs a solution of a TSP instance starting…

Artificial Intelligence · Computer Science 2023-04-20 Xuanhao Pan , Yan Jin , Yuandong Ding , Mingxiao Feng , Li Zhao , Lei Song , Jiang Bian

This paper addresses the challenges faced by algorithms, such as the Firefly Algorithm (FA) and the Genetic Algorithm (GA), in constrained optimization problems. While both algorithms perform well for unconstrained problems, their…

Neural and Evolutionary Computing · Computer Science 2025-01-28 Aswathi Malanthara , Ishaan R Kale

In this paper, we consider the problem of allocating human operator assistance in a system with multiple autonomous robots. Each robot is required to complete independent missions, each defined as a sequence of tasks. While executing a…

Robotics · Computer Science 2022-09-09 Yifan Cai , Abhinav Dahiya , Nils Wilde , Stephen L. Smith