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Predicting the cheapest sample size for the optimal stratification in multivariate survey design is a problem in cases where the population frame is large. A solution exists that iteratively searches for the minimum sample size necessary to…

Methodology · Statistics 2018-06-18 Mervyn O'Luing , Steven Prestwich , S. Armagan Tarim

The Travelling Salesman Problem (TSP) is one of the most popular Combinatorial Optimization Problem. It is well solicited for the large variety of applications that it can solve, but also for its difficulty to find optimal solutions. One of…

Neural and Evolutionary Computing · Computer Science 2020-06-30 Mehdi El Krari , Belaïd Ahiod

We introduce a method based on the Public Goods Game for solving optimization tasks. In particular, we focus on the Traveling Salesman Problem, i.e. a NP-hard problem whose search space exponentially grows increasing the number of cities.…

Physics and Society · Physics 2017-08-30 Marco Alberto Javarone

We present a physics inspired heuristic method for solving combinatorial optimization problems. Our approach is specifically motivated by the desire to avoid trapping in metastable local minima- a common occurrence in hard problems with…

Statistical Mechanics · Physics 2016-03-15 Bo Sun , Blake Leonard , Peter Ronhovde , Zohar Nussinov

Traffic control optimization is a challenging task for various traffic centers around the world and the majority of existing approaches focus only on developing adaptive methods under normal (recurrent) traffic conditions. Optimizing the…

Machine Learning · Computer Science 2021-03-16 Tuo Mao , Adriana-Simona Mihaita , Fang Chen , Hai L. Vu

Motivated by the tactical planning level of demand adaptive public transportation systems, we present the stochastic symmetric traveling salesman problem with generalized latency (STSP-GL), a stochastic extension to the symmetric traveling…

Optimization and Control · Mathematics 2023-11-17 Benedikt Lienkamp , Mike Hewitt , Maximilian Schiffer

The Generalized Traveling Salesman Problem (GTSP) is an extension of the well-known Traveling Salesman Problem (TSP), where the node set is partitioned into clusters, and the objective is to find the shortest cycle visiting each cluster…

Artificial Intelligence · Computer Science 2012-07-06 Mohammad Reihaneh , Daniel Karapetyan

Evolutionary algorithms have been shown to obtain good solutions for complex optimization problems in static and dynamic environments. It is important to understand the behaviour of evolutionary algorithms for complex optimization problems…

Neural and Evolutionary Computing · Computer Science 2023-05-31 Jakob Bossek , Aneta Neumann , Frank Neumann

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

This paper addresses the Traveling Salesman Problem with Drone (TSP-D), in which a truck and drone are used to deliver parcels to customers. The objective of this problem is to either minimize the total operational cost (min-cost TSP-D) or…

Artificial Intelligence · Computer Science 2019-11-20 Quang Minh Ha , Yves Deville , Quang Dung Pham , Minh Hoàng Hà

We introduce a fast, quasi-linear-time heuristic for the Close-Enough Traveling Salesman Problem (CETSP), a continuous generalization of the Euclidean TSP in which each target is a disk that must be intersected. The method adapts the…

Computational Geometry · Computer Science 2026-04-07 Khoi Duong

The mixed truck-drone delivery systems have attracted increasing attention for last-mile logistics, but real-world complexities demand a shift from single-agent, fully connected graph models to multi-agent systems operating on actual road…

Robotics · Computer Science 2024-08-22 Ruixiao Yang , Chuchu Fan

Traveling Salesman Problem (TSP) is a classic NP-hard problem that has garnered significant attention from both academia and industry. While neural-based methods have shown promise for solving TSPs, they still face challenges in scaling to…

Machine Learning · Computer Science 2026-04-16 Tongkai Lu , Shuai Ma , Chongyang Tao

Mutation is one of the most important stages of the genetic algorithm because of its impact on the exploration of global optima, and to overcome premature convergence. There are many types of mutation, and the problem lies in selection of…

This paper presents a novel learning approach for Dubins Traveling Salesman Problems(DTSP) with Neighborhood (DTSPN) to quickly produce a tour of a non-holonomic vehicle passing through neighborhoods of given task points. The method…

Artificial Intelligence · Computer Science 2026-03-06 Min Kyu Shin , Su-Jeong Park , Seung-Keol Ryu , Heeyeon Kim , Han-Lim Choi

In this paper, we propose a method to solve a bi-objective variant of the well-studied Traveling Thief Problem (TTP). The TTP is a multi-component problem that combines two classic combinatorial problems: Traveling Salesman Problem (TSP)…

Neural and Evolutionary Computing · Computer Science 2020-07-29 Jonatas B. C. Chagas , Julian Blank , Markus Wagner , Marcone J. F. Souza , Kalyanmoy Deb

In Internet Routing, the static shortest path (SP) problem has been addressed using well known intelligent optimization techniques like artificial neural networks, genetic algorithms (GAs) and particle swarm optimization. Advancement in…

Neural and Evolutionary Computing · Computer Science 2011-07-12 T. R. Gopalakrishnan Nair , Kavitha Sooda , M. B. Yashoda

We present approximation algorithms for almost all variants of the multi-criteria traveling salesman problem (TSP). First, we devise randomized approximation algorithms for multi-criteria maximum traveling salesman problems (Max-TSP). For…

Data Structures and Algorithms · Computer Science 2011-07-14 Bodo Manthey

Using an enhanced Self-Organizing Map method, we provided suboptimal solutions to the Traveling Salesman Problem. Besides, we employed hyperparameter tuning to identify the most critical features in the algorithm. All improvements in the…

Neural and Evolutionary Computing · Computer Science 2022-01-20 Joao P. A. Dantas , Andre N. Costa , Marcos R. O. A. Maximo , Takashi Yoneyama

In the Bounded Multiple Traveling Salesman Problem (BMTSP), a tour for each salesman, that starts and ends at the depot and that respects the bounds on the number of cities that a feasible salesman tour should satisfy, is to be constructed.…

Discrete Mathematics · Computer Science 2024-05-30 Víctor Pacheco-Valencia , Nodari Vakhania
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