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In this work we revisit the Hopfield-Tank algorithm for the traveling salesman problem (TSP) and report encouraging results, with a different dynamics, that makes the algorithm more efficient finding better solutions in much less…

Soft Condensed Matter · Physics 2009-10-30 M. Argollo de Menezes , T. J. P. Penna

The asymptotic behavior of the optimal TSP tour length is well known from the classical Beardwood--Halton--Hammersley theorem. We extend this result to the Traveling Salesman Problem with Drone (TSPD), a cooperative routing problem in which…

Optimization and Control · Mathematics 2026-03-03 Jae Hyeok Lee , Taekang Hwang , Changhyun Kwon

We propose a novel context-aware drone delivery framework for optimizing package delivery through skyway networks in smart cities. We reformulate the problem of finding an optimal drone service delivery pathway as a more congruent and…

Robotics · Computer Science 2023-05-01 Babar Shahzaad , Balsam Alkouz , Jermaine Janszen , Athman Bouguettaya

The application of drones in the last-mile distribution is a research hotspot in recent years. Different from the previous urban distribution mode that depends on trucks, this paper proposes a novel package pick-up and delivery mode and…

Systems and Control · Electrical Eng. & Systems 2022-04-05 Fangyu Hong , Guohua Wu , Qizhang Luo , Huan Liu , Xiaoping Fang , Witold Pedrycz

The multi-path Traveling Salesman Problem with stochastic travel costs arises in hybrid vehicle routing applications designed for Smart City and City Logistics, where multiple paths exist between each pair of locations. Travel times along…

Optimization and Control · Mathematics 2026-05-15 Xiaochen Chou , Ludovica Di Marco , Enza Messina

We propose the Steiner Traveling Salesman Problem with Time Windows and Pickup and Delivery, an advanced and practical extension of classical routing models. This variant integrates the characteristics of the Steiner Traveling Salesman…

Emerging Technologies · Computer Science 2026-04-23 Alessia Ciacco , Francesca Guerriero , Eneko Osaba

In this study, we develop an innovative data-driven optimization approach to solve the drone delivery service planning problem with online demand. Drone-based logistics are expected to improve operations by enhancing flexibility and…

Optimization and Control · Mathematics 2024-04-04 Aditya Paul , Michael W. Levin , S. Travis Waller , David Rey

Planning a time-optimal trajectory for aerial robots is critical in many drone applications, such as rescue missions and package delivery, which have been widely researched in recent years. However, it still involves several challenges,…

Robotics · Computer Science 2022-09-02 Wei Luo , Jingshan Chen , Henrik Ebel , Peter Eberhard

Discrete version of state transition algorithm is proposed in order to solve the traveling salesman problem. Three special operators for discrete optimization problem named swap, shift and symmetry transformations are presented. Convergence…

Optimization and Control · Mathematics 2013-02-12 Yang Chunhua , Tang Xiaolin , Zhou Xiaojun , Gui Weihua

Symbolic optimal control is a powerful method to synthesize algorithmically correct-by-design state-feedback controllers for nonlinear plants. Its solutions are (near-)optimal with respect to a given cost function. In this note, it is…

Optimization and Control · Mathematics 2022-05-30 Alexander Weber , Florian Fiege , Alexander Knoll

This paper presents a new method for integrated time-optimal routing and trajectory optimization of multirotor unmanned aerial vehicles (UAVs). Our approach extends the well-known Traveling Salesman Problem by accounting for the limited…

Robotics · Computer Science 2022-12-01 Fabian Meyer , Katharina Glock

The problem of maximizing the probability of two trucks being coordinated to merge into a platoon on a highway is considered. Truck platooning is a promising technology that allows heavy vehicles to save fuel by driving with small…

Systems and Control · Computer Science 2017-05-12 Sebastian van de Hoef , Karl H. Johansson , Dimos V. Dimarogonas

The offline pickup and delivery problem with time windows (PDPTW) is a classical combinatorial optimization problem in the transportation community, which has proven to be very challenging computationally. Due to the complexity of the…

Artificial Intelligence · Computer Science 2023-03-08 Youngseo Kim , Danushka Edirimanna , Michael Wilbur , Philip Pugliese , Aron Laszka , Abhishek Dubey , Samitha Samaranayake

The method of fragments was recently proposed, and its effectiveness has been empirically shown for three specialised pickup and delivery problems. We propose an enhanced fragment algorithm that for the first time, effectively solves the…

Optimization and Control · Mathematics 2024-11-21 Lucas Sippel , Michael Forbes

Dynamic routing occurs when customers are not known in advance, e.g. for real-time routing. Two heuristics are proposed that solve the balanced dynamic multiple travelling salesmen problem (BD-mTSP). These heuristics represent operational…

Optimization and Control · Mathematics 2021-08-24 Wolfgang Garn

This article considers a cooperative vehicle routing problem for an intelligence, surveillance, and reconnaissance mission in the presence of communication constraints between the vehicles. The proposed framework uses a ground vehicle and…

Optimization and Control · Mathematics 2021-04-30 Satyanarayana G. Manyam , Kaarthik Sundar , David W. Casbeer

Original equipment manufacturers (OEMs) manufacture, inventory and transport new vehicles to franchised dealers. These franchised dealers inventory and sell new vehicles to end users. OEMs rely on logistics companies with a special type of…

Optimization and Control · Mathematics 2016-10-04 Saravanan Venkatachalam , Kaarthik Sundar

We present an algorithm for the asymmetric traveling salesman problem on instances which satisfy the triangle inequality. Like several existing algorithms, it achieves approximation ratio O(log n). Unlike previous algorithms, it uses…

Data Structures and Algorithms · Computer Science 2009-09-07 Michel X. Goemans , Nicholas J. A. Harvey , Kamal Jain , Mohit Singh

In this pedagogical work we reviewed the mathematical formalism and the physical interpretation, based on statistical mechanics, of the meta-heuristics called simulated annealing. Moreover, we presented the mathematical formulation of the…

Statistical Mechanics · Physics 2021-04-09 Paulo J. P. de Souza

The Multiple Travelling Salesman Problem (MTSP) is among the most interesting combinatorial optimization problems because it is widely adopted in real-life applications, including robotics, transportation, networking, etc. Although the…

Computational Complexity · Computer Science 2021-02-26 Omar Cheikhrouhou , Ines Khoufi