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The 2-Opt heuristic is a simple improvement heuristic for the Traveling Salesman Problem. It starts with an arbitrary tour and then repeatedly replaces two edges of the tour by two other edges, as long as this yields a shorter tour. We will…

Data Structures and Algorithms · Computer Science 2021-01-26 Ulrich A. Brodowsky , Stefan Hougardy

The Moving Target Vehicle Routing Problem with Obstacles (MT-VRP-O) seeks trajectories for several agents that collectively intercept a set of moving targets. Each target has one or more time windows where it must be visited, and the agents…

Robotics · Computer Science 2026-05-25 Anoop Bhat , Geordan Gutow , Surya Singh , Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

In this paper we study a natural special case of the Traveling Salesman Problem (TSP) with point-locational-uncertainty which we will call the {\em adversarial TSP} problem (ATSP). Given a metric space $(X, d)$ and a set of subsets $R =…

Computational Geometry · Computer Science 2017-05-18 Gui Citovsky , Tyler Mayer , Joseph S. B. Mitchell

The 2-Opt heuristic is one of the simplest algorithms for finding good solutions to the metric Traveling Salesman Problem. It is the key ingredient to the well-known Lin-Kernighan algorithm and often used in practice. So far, only upper and…

Discrete Mathematics · Computer Science 2020-03-16 Stefan Hougardy , Fabian Zaiser , Xianghui Zhong

This paper proposes a framework for scheduling the observation and download tasks of multiple agile satellites with practical considerations such as attitude transition time, onboard data capacity, and stereoscopic image acquisition. A…

Systems and Control · Electrical Eng. & Systems 2019-12-03 Junhong Kim , Doo-Hyun Cho , Jaemyung Ahn , Han-Lim Choi

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 purpose of this paper is to propose and analyze a multi-step iterative algorithm to solve a convex optimization problem and a fixed point problem posed on a Hadamard space. The convergence properties of the proposed algorithm are…

Functional Analysis · Mathematics 2018-02-28 Muhammad Aqeel Ahmad Khan , Hafiza Arham Maqbool

Two variants of multi-robot search for a stationary object in a priori known environment represented by a graph are studied in the paper. The first one is a generalization of the Traveling Deliveryman Problem where more than one deliveryman…

Robotics · Computer Science 2019-01-24 Miroslav Kulich , Libor Přeučil , Juan José Miranda Bront

In this paper, we present an approach to optimizing the last-mile delivery route of a truck using coordination with unmanned aerial vehicles (UAVs). First, a traveling salesman problem is formulated to determine the truck's route. Then, a…

Optimization and Control · Mathematics 2019-03-13 Ben Remer , Andreas A. Malikopoulos

A two-stage procedure for simultaneously detecting multiple thresholds and achieving model selection in the segmented accelerate failure time (AFT) model is developed in this paper. In the first stage, we formulate the threshold problem as…

Methodology · Statistics 2018-08-10 Jialiang Li , Baisuo Jin

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.…

Artificial Intelligence · Computer Science 2024-04-18 Bowen Fang , Xu Chen , Xuan Di

We introduce a framework for applying metaheuristic algorithms, such as ant colony optimization (ACO), to combinatorial optimization problems (COPs) like the traveling salesman problem (TSP). The framework consists of three sequential…

Neural and Evolutionary Computing · Computer Science 2025-10-07 Ethan Davis

We address the multi-satellite scheduling problem with limited observation capacities that arises from the need to observe a set of targets on the Earth's surface using imaging resources installed on a set of satellites. We define and…

Optimization and Control · Mathematics 2018-12-10 Xiaoyu Chen , Gerhard Reinelt , Guangming Dai , Andreas Spitz

The paper presents a two-stage stochastic program to model a routing problem involving an Unmanned Aerial Vehicle (UAV) in the context of patrolling missions. In particular, given a set of targets and a set of supplemental targets…

Optimization and Control · Mathematics 2021-07-01 Sudarshan Rajan , Kaarthik Sundar , Natarajan Gautam

This paper proposes a sampling-based motion planner that employs a dual quaternion representation to generate smooth, collision-free six-degree-of-freedom pose trajectories for satellite rendezvous and docking under keep-out zone…

Robotics · Computer Science 2025-12-22 Ana Stankovic , Mohamed Khalil Ben-Larbi , Wolfgang H. Müller

The Traveling Tournament Problem(TTP) is a combinatorial optimization problem where we have to give a scheduling algorithm which minimizes the total distance traveled by all the participating teams of a double round-robin tournament…

Data Structures and Algorithms · Computer Science 2021-09-21 Diptendu Chatterjee , Bimal Kumar Roy

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

We study the Symmetric Rendezvous Search Problem for a multi-robot system. There are $n>2$ robots arbitrarily located on a line. Their goal is to meet somewhere on the line as quickly as possible. The robots do not know the initial location…

Robotics · Computer Science 2022-01-04 Deniz Ozsoyeller , Pratap Tokekar

In this paper, we describe a two-stage method for solving optimization problems with bound constraints. It combines the active-set estimate described in [Facchinei and Lucidi, 1995] with a modification of the non-monotone line search…

Optimization and Control · Mathematics 2016-11-08 Andrea Cristofari , Marianna De Santis , Stefano Lucidi , Francesco Rinaldi

In this paper, a heuristic for a heterogeneous min-max multi-vehicle multi-depot traveling salesman problem is proposed, wherein heterogeneous vehicles start from given depot locations and need to cover a given set of targets. In the…

Optimization and Control · Mathematics 2024-11-01 Deepak Prakash Kumar , Sivakumar Rathinam , Swaroop Darbha , Trevor Bihl
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