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The solution of the Multi-Depot Vehicle Scheduling Problem (MDVSP) can often be improved substantially by incorporating Trip Shifting (TS) as a model feature. By allowing departure times to deviate a few minutes from the original timetable,…

最优化与控制 · 数学 2023-04-13 Rolf van Lieshout , Thomas van der Schaft

With applications to many disciplines, the traveling salesman problem (TSP) is a classical computer science optimization problem with applications to industrial engineering, theoretical computer science, bioinformatics, and several other…

人工智能 · 计算机科学 2017-05-26 Yihui He , Ming Xiang

In this paper we propose some novel path planning strategies for a double integrator with bounded velocity and bounded control inputs. First, we study the following version of the Traveling Salesperson Problem (TSP): given a set of points…

机器人学 · 计算机科学 2007-05-23 Ketan Savla , Francesco Bullo , Emilio Frazzoli

Various neural network models have been proposed to tackle combinatorial optimization problems such as the travelling salesman problem (TSP). Existing learning-based TSP methods adopt a simple setting that the training and testing data are…

机器学习 · 计算机科学 2022-04-08 Zeyang Zhang , Ziwei Zhang , Xin Wang , Wenwu Zhu

This paper addresses the challenge of planning a sequence of tasks to be performed by multiple robots while minimizing the overall completion time subject to timing and precedence constraints. Our approach uses the Timed Partial Orders…

Evolving diverse sets of high quality solutions has gained increasing interest in the evolutionary computation literature in recent years. With this paper, we contribute to this area of research by examining evolutionary diversity…

神经与进化计算 · 计算机科学 2021-10-04 Anh Viet Do , Jakob Bossek , Aneta Neumann , Frank Neumann

Motion planning is a key aspect of robotics. A common approach to address motion planning problems is trajectory optimization. Trajectory optimization can represent the high-level behaviors of robots through mathematical formulations.…

机器人学 · 计算机科学 2024-08-21 Fatemeh Rastgar

NP hard optimization problems like the Traveling Salesman Problem (TSP) defy efficient solutions in the worst case, yet real-world instances often exhibit exploitable patterns. We propose a novel patternaware complexity framework that…

人工智能 · 计算机科学 2025-06-18 Olivier Saidi

Optimal control problems can be solved via a one-shot (single) optimization or a sequence of optimization using dynamic programming (DP). However, the computation of their global optima often faces NP-hardness, and thus only locally optimal…

最优化与控制 · 数学 2024-09-04 Jihun Kim , Yuhao Ding , Yingjie Bi , Javad Lavaei

The famous Travelling Salesman Problem (TSP) is an important category of optimization problems that is mostly encountered in various areas of science and engineering. Studying optimization problems motivates to develop advanced techniques…

量子物理 · 物理学 2018-05-29 Karthik Srinivasan , Saipriya Satyajit , Bikash K. Behera , Prasanta K. Panigrahi

In many industrial robotics applications, such as spot-welding, spray-painting or drilling, the robot is required to visit successively multiple targets. The robot travel time among the targets is a significant component of the overall…

机器人学 · 计算机科学 2017-10-06 Francisco Suárez-Ruiz , Teguh Santoso Lembono , Quang-Cuong Pham

Meta-heuristics are frequently used to tackle NP-hard combinatorial optimization problems. With this paper we contribute to the understanding of the success of 2-opt based local search algorithms for solving the traveling salesman problem…

数据结构与算法 · 计算机科学 2012-08-14 Olaf Mersmann , Bernd Bischl , Heike Trautmann , Markus Wagner , Frank Neumann

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.…

物理与社会 · 物理学 2017-08-30 Marco Alberto Javarone

Understanding the behaviour of heuristic search methods is a challenge. This even holds for simple local search methods such as 2-OPT for the Traveling Salesperson problem. In this paper, we present a general framework that is able to…

神经与进化计算 · 计算机科学 2020-06-01 Wanru Gao , Samadhi Nallaperuma , Frank Neumann

The Traveling-Salesperson-Problem (TSP) is arguably one of the best-known NP-hard combinatorial optimization problems. The two sophisticated heuristic solvers LKH and EAX and respective (restart) variants manage to calculate close-to…

人工智能 · 计算机科学 2020-05-28 Jakob Bossek , Pascal Kerschke , Heike Trautmann

Real-world optimisation problems are often dynamic. Previously good solutions must be updated or replaced due to changes in objectives and constraints. It is often claimed that evolutionary algorithms are particularly suitable for dynamic…

神经与进化计算 · 计算机科学 2016-07-13 Duc-Cuong Dang , Thomas Jansen , Per Kristian Lehre

The Travelling Salesman Problem - TSP is one of the most explored problems in the scientific literature to solve real problems regarding the economy, transportation, and logistics, to cite a few cases. Adapting TSP to solve different…

神经与进化计算 · 计算机科学 2024-10-29 Carlos Alberto da Silva Junior , Roberto Yuji Tanaka , Luiz Carlos Farias da Silva , Angelo Passaro

Efficient utilization of cooperating robots in the assembly of aircraft structures relies on balancing the workload of the robots and ensuring collision-free scheduling. We cast this problem as that of allocating a large number of…

机器人学 · 计算机科学 2019-06-27 Veniamin Tereshchuk , John Stewart , Nikolay Bykov , Samuel Pedigo , Santosh Devasia , Ashis G. Banerjee

We describe a hybrid procedure for solving the traveling salesman problem (TSP) to provable optimality. We first sparsify the instance, and then use a hybrid algorithm that combines a branch-and-cut TSP solver with a Hamiltonian cycle…

数据结构与算法 · 计算机科学 2017-05-22 Vladimir Ejov , Michael Haythorpe , Serguei Rossomakhine

Combinatorial optimization plays an important role in real-world problem solving. In the big data era, the dimensionality of a combinatorial optimization problem is usually very large, which poses a significant challenge to existing…

机器学习 · 计算机科学 2020-09-09 Yuan Sun , Andreas Ernst , Xiaodong Li , Jake Weiner