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We present a new approach for gluing tours over certain tight, 3-edge cuts. Gluing over 3-edge cuts has been used in algorithms for finding Hamilton cycles in special graph classes and in proving bounds for 2-edge-connected subgraph…

数据结构与算法 · 计算机科学 2022-03-29 Arash Haddadan , Alantha Newman

As an extension of the traveling repairman problem with profits, the multiple traveling repairman problem with profits consists of multiple repairmen who visit a subset of all customers to maximize the revenues collected through the visited…

神经与进化计算 · 计算机科学 2021-11-10 Jintong Ren , Jin-Kao Hao , Feng Wu , Zhang-Hua Fu

This paper presents a set of new formulations for the Flying Sidekick Traveling Salesman Problem, where a truck and a drone cooperate to delivery parcels to customers minimizing the completion time. The new formulations improve the results…

最优化与控制 · 数学 2022-10-31 Mauro Dell'Amico , Roberto Montemanni , Stefano Novellani

The design of good heuristics or approximation algorithms for NP-hard combinatorial optimization problems often requires significant specialized knowledge and trial-and-error. Can we automate this challenging, tedious process, and learn the…

机器学习 · 计算机科学 2018-02-23 Hanjun Dai , Elias B. Khalil , Yuyu Zhang , Bistra Dilkina , Le Song

The greedy strategy is an approximation algorithm to solve optimization problems arising in decision making with multiple actions. How good is the greedy strategy compared to the optimal solution? In this survey, we mainly consider two…

最优化与控制 · 数学 2019-05-10 Yajing Liu , Edwin K. P. Chong , Ali Pezeshki , Zhenliang Zhang

A new characterization of Hamiltonian graphs using f-cutset matrix is proposed. Based on this new characterization, a new exact polynomial time algorithm for the traveling salesman problem (TSP) is developed. We then define the so-called…

综合数学 · 数学 2025-02-26 Dhananjay P. Mehendale

This paper introduces a new learning-based approach for approximately solving the Travelling Salesman Problem on 2D Euclidean graphs. We use deep Graph Convolutional Networks to build efficient TSP graph representations and output tours in…

机器学习 · 计算机科学 2019-10-15 Chaitanya K. Joshi , Thomas Laurent , Xavier Bresson

This work introduces an empirical quadrature-based hyperreduction procedure and greedy training algorithm to effectively reduce the computational cost of solving convection-dominated problems with limited training. The proposed approach…

数值分析 · 数学 2023-09-14 Marzieh Alireza Mirhoseini , Matthew J. Zahr

Bidirectional motion planning often reduces planning time compared to its unidirectional counterparts. It requires connecting the forward and reverse search trees to form a continuous path. However, this process could fail and restart the…

机器人学 · 计算机科学 2025-08-28 Liding Zhang , Yao Ling , Zhenshan Bing , Fan Wu , Sami Haddadin , Alois Knoll

The Traveling Salesman Problem (TSP) is a well-known NP-hard combinatorial optimization problem with wide-ranging applications in logistics, routing, and intelligent systems. Due to its factorial complexity, solving large-scale instances…

分布式、并行与集群计算 · 计算机科学 2025-05-27 Rabab Alkhalifa , Fatima Alkhomayes , Boushra Almazroua , Dana Alhaidan , Maryam Alothman , Jumana Almuhaidib

We consider the exploration problem: an agent equipped with a depth sensor must map out a previously unknown environment using as few sensor measurements as possible. We propose an approach based on supervised learning of a greedy…

机器学习 · 计算机科学 2022-03-29 Louis Ly , Yen-Hsi Richard Tsai

We introduce a risk-aware multi-objective Traveling Salesperson Problem (TSP) variant, where the robot tour cost and tour reward have to be optimized simultaneously. The robot obtains reward along the edges in the graph. We study the case…

机器人学 · 计算机科学 2021-09-22 Rishab Balasubramanian , Lifeng Zhou , Pratap Tokekar , P. B. Sujit

Recent works on cost based relaxations have improved Constraint Programming (CP) models for the Traveling Salesman Problem (TSP). We provide a short survey over solving asymmetric TSP with CP. Then, we suggest new implied propagators based…

离散数学 · 计算机科学 2012-06-18 Jean-Guillaume Fages , Xavier Lorca

We propose a learning algorithm for solving the traveling salesman problem based on a simple strategy of trial and adaptation: i) A tour is selected by choosing cities probabilistically according to the ``synaptic'' strengths between…

adap-org · 物理学 2009-10-28 Kan Chen

We consider a dynamic model for competition in a social network, where two strategic agents have fixed beliefs and the non-strategic/regular agents adjust their states according to a distributed consensus protocol. We suppose that one…

社会与信息网络 · 计算机科学 2021-05-06 M. Bini , P. Frasca , C. Ravazzi , F. Dabbene

Greedy BST (or simply Greedy) is an online self-adjusting binary search tree defined in the geometric view ([Lucas, 1988; Munro, 2000; Demaine, Harmon, Iacono, Kane, Patrascu, SODA 2009). Along with Splay trees (Sleator, Tarjan 1985),…

We study the problem of selecting a subset of vectors from a large set, to obtain the best signal representation over a family of functions. Although greedy methods have been widely used for tackling this problem and many of those have been…

信号处理 · 电气工程与系统科学 2023-05-16 Ehsan Tohidi , Mario Coutino , David Gesbert

We propose a new scalable method to optimize the architecture of an artificial neural network. The proposed algorithm, called Greedy Search for Neural Network Architecture, aims to determine a neural network with minimal number of layers…

机器学习 · 计算机科学 2021-04-30 Massimiliano Lupo Pasini , Junqi Yin , Ying Wai Li , Markus Eisenbach

This paper is motivated by recent research in the $d$-dimensional stochastic linear bandit literature, which has revealed an unsettling discrepancy: algorithms like Thompson sampling and Greedy demonstrate promising empirical performance,…

机器学习 · 计算机科学 2025-05-20 Yuwei Luo , Mohsen Bayati

A $t$-spanner of a graph is a subgraph that $t$-approximates pairwise distances. The greedy algorithm is one of the simplest and most well-studied algorithms for constructing a sparse spanner: it computes a $t$-spanner with $n^{1+O(1/t)}$…

数据结构与算法 · 计算机科学 2023-08-03 Bernhard Haeupler , D Ellis Hershkowitz , Zihan Tan