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This paper presents a framework to tackle combinatorial optimization problems using neural networks and reinforcement learning. We focus on the traveling salesman problem (TSP) and train a recurrent network that, given a set of city…

人工智能 · 计算机科学 2017-01-16 Irwan Bello , Hieu Pham , Quoc V. Le , Mohammad Norouzi , Samy Bengio

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…

计算复杂性 · 计算机科学 2021-02-26 Omar Cheikhrouhou , Ines Khoufi

The Metric Traveling Salesman Problem (TSP) is a classical NP-hard optimization problem. The double-tree shortcutting method for Metric TSP yields an exponentially-sized space of TSP tours, each of which approximates the optimal solution…

数据结构与算法 · 计算机科学 2009-07-16 Vladimir Deineko , Alexander Tiskin

The Traveling Salesman Problem (TSP) is a well-known combinatorial optimization problem that aims to find the shortest possible route that visits each city exactly once and returns to the starting point. This paper explores the application…

神经与进化计算 · 计算机科学 2025-01-28 Kael Silva Araújo , Francisco Márcio Barboza

The $k-$traveling salesman problem ($k$-TSP) seeks a tour of minimal length that visits a subset of $k\leq n$ points. The traveling repairman problem (TRP) seeks a complete tour with minimal latency. This paper provides constant-factor…

离散数学 · 计算机科学 2022-11-22 Moïse Blanchard , Alexandre Jacquillat , Patrick Jaillet

We study a new version of the Traveling Salesperson Problem, called \VectorTSP, where the traveler is subject to discrete acceleration constraints, as defined in the paper-and-pencil game Racetrack (also known as Vector Racer). In this…

数据结构与算法 · 计算机科学 2025-02-12 Arnaud Casteigts , Mathieu Raffinot , Mikhail Raskin , Jason Schoeters

In this work we introduce an evolutionary strategy to solve combinatorial optimization tasks, i.e. problems characterized by a discrete search space. In particular, we focus on the Traveling Salesman Problem (TSP), i.e. a famous problem…

无序系统与神经网络 · 物理学 2016-08-05 Marco Alberto Javarone

This paper aims to develop a learning method for a special class of traveling salesman problems (TSP), namely, the pickup-and-delivery TSP (PDTSP), which finds the shortest tour along a sequence of one-to-one pickup-and-delivery nodes.…

人工智能 · 计算机科学 2024-04-18 Bowen Fang , Xu Chen , Xuan Di

In the classical Travelling Salesman Problem (TSP), the objective function sums the costs for travelling from one city to the next city along the tour. In the q-stripe TSP with q larger than 1, the objective function sums the costs for…

离散数学 · 计算机科学 2016-10-03 Eranda Cela , Vladimir Deineko , Gerhard J. Woeginger

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…

最优化与控制 · 数学 2026-04-28 Abhay Singh Bhadoriya , Deepjyoti Deka , Kaarthik Sundar

In this research, we discuss the intermittent traveling salesman problem (ITSP), which extends the traditional traveling salesman problem (TSP) by imposing temperature restrictions on each node. These additional constraints limit the…

数据结构与算法 · 计算机科学 2017-01-31 Pieter Leyman , San Tu Pham , Patrick De Causmaecker

Combinatorial optimization is the field devoted to the study and practice of algorithms that solve NP-hard problems. As Machine Learning (ML) and deep learning have popularized, several research groups have started to use ML to solve…

人工智能 · 计算机科学 2019-10-01 Antoine François , Quentin Cappart , Louis-Martin Rousseau

Investigation of detailed and complex optimisation problem formulations that reflect realistic scenarios is a burgeoning field of research. A growing body of work exists for the Travelling Thief Problem, including multi-objective…

神经与进化计算 · 计算机科学 2020-02-10 Daniel Herring , Michael Kirley , Xin Yao

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…

机器人学 · 计算机科学 2022-12-01 Fabian Meyer , Katharina Glock

The multiple Stack Travelling Salesman Problem, STSP, deals with the collect and the deliverance of n commodities in two distinct cities. The two cities are represented by means of two edge-valued graphs (G1,d2) and (G2,d2). During the…

计算复杂性 · 计算机科学 2010-09-28 Sophie Toulouse , Roberto Wolfler Calvo

In this article, we present a novel formulation for the load-dependent traveling salesman problem (LD-TSP), in which travel cost (or energy expended) depends on the vehicle's current load. This problem is relevant for package delivery and…

The traveling salesman problem (TSP) is one of the most challenging NP-hard problems. It has widely applications in various disciplines such as physics, biology, computer science and so forth. The best known approximation algorithm for…

数据结构与算法 · 计算机科学 2016-12-13 Wenhong Tian , Chaojie Huang , Xinyang Wang , Qin Xiong

The traveling salesman (or salesperson) problem, short TSP, is a problem of strong interest to many researchers from mathematics, economics, and computer science. Manifold TSP variants occur in nearly every scientific field and application…

数据结构与算法 · 计算机科学 2025-11-10 Sophia Saller , Jana Koehler , Andreas Karrenbauer

We present a new approximation algorithm for the (metric) prize-collecting traveling salesperson problem (PCTSP). In PCTSP, opposed to the classical traveling salesperson problem (TSP), one may not include a vertex of the input graph in the…

数据结构与算法 · 计算机科学 2023-04-13 Jannis Blauth , Martin Nägele

Many real-world problems are composed of several interacting components. In order to facilitate research on such interactions, the Traveling Thief Problem (TTP) was created in 2013 as the combination of two well-understood combinatorial…

人工智能 · 计算机科学 2016-09-05 Markus Wagner , Marius Lindauer , Mustafa Misir , Samadhi Nallaperuma , Frank Hutter