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The Team Orienteering Problem (TOP) is an NP-hard routing problem in which a fleet of identical vehicles aims at collecting rewards (prizes) available at given locations, while satisfying restrictions on the travel times. In TOP, each…

数据结构与算法 · 计算机科学 2020-01-06 Lucas Assunção , Geraldo Robson Mateus

This paper considers a generalization of the Path Finding (PF) problem with refuelling constraints referred to as the Gas Station Problem (GSP). Similar to PF, given a graph where vertices are gas stations with known fuel prices, and edge…

机器人学 · 计算机科学 2025-02-25 Shizhe Zhao , Anushtup Nandy , Howie Choset , Sivakumar Rathinam , Zhongqiang Ren

In this paper we tackle the Team Orienteering Problem with Service Times, Mandatory Nodes and Incompatibilities, introduced in~\cite{Guastalla2024} and arising from two real-world healthcare applications. We propose two heuristic algorithms…

最优化与控制 · 数学 2025-07-09 Alberto Guastalla , Roberto Aringhieri , Pierre Hosteins

We consider several Vehicle Routing Problems (VRP) with profits, which seek to select a subset of customers, each one being associated with a profit, and to design service itineraries. When the sum of profits is maximized under distance…

数据结构与算法 · 计算机科学 2014-07-29 Thibaut Vidal , Nelson Maculan , Puca Huachi Vaz Penna , Luis Satoru Ochi

We study a stochastic variant of the Team Orienteering Problem with lognormal travel times and an all-or-nothing reward policy, under which the reward of a route is lost if its travel time exceeds the available budget. We propose a…

最优化与控制 · 数学 2026-04-29 Michele Circelli

Learning how to automatically solve optimization problems has the potential to provide the next big leap in optimization technology. The performance of automatically learned heuristics on routing problems has been steadily improving in…

人工智能 · 计算机科学 2020-12-01 André Hottung , Kevin Tierney

The Team Orienteering Problem (TOP) is an attractive variant of the Vehicle Routing Problem (VRP). The aim is to select customers and at the same time organize the visits for a vehicle fleet so as to maximize the collected profits and…

机器人学 · 计算机科学 2016-04-12 Racha El-Hajj , Duc-Cuong Dang , Aziz Moukrim

The Team Orienteering Problem with Service Times and Mandatory & Incompatible Nodes (TOP-ST-MIN) is a variant of the classic Team Orienteering Problem (TOP), which includes three novel features that stem from two real-world problems…

最优化与控制 · 数学 2024-10-17 Alberto Guastalla , Roberto Aringhieri , Pierre Hosteins

Constraint Optimization Problems (COP) pose intricate challenges in combinatorial problems usually addressed through Branch and Bound (B\&B) methods, which involve maintaining priority queues and iteratively selecting branches to search for…

人工智能 · 计算机科学 2023-12-27 Yingkai Xiao , Jingjin Liu , Hankz Hankui Zhuo

This paper introduces an extension to the Orienteering Problem (OP), called Clustered Orienteering Problem with Subgroups (COPS). In this variant, nodes are arranged into subgroups, and the subgroups are organized into clusters. A reward is…

人工智能 · 计算机科学 2023-12-29 Luciano E. Almeida , Douglas G. Macharet

This work considers infinite-horizon optimal control of positive linear systems applied to the case of network routing problems. We demonstrate the equivalence between Stochastic Shortest Path (SSP) problems and optimal control of a certain…

最优化与控制 · 数学 2026-02-17 David Ohlin , Anders Rantzer , Emma Tegling

In this paper we study a multi-robot path planning problem for persistent monitoring of an environment. We represent the areas to be monitored as the vertices of a weighted graph. For each vertex, there is a constraint on the maximum time…

机器人学 · 计算机科学 2019-03-15 Ahmad Bilal Asghar , Stephen L. Smith , Shreyas Sundaram

Routing and scheduling problems are fundamental problems in combinatorial optimization, and also have many applications. Most variations of these problems are NP-Hard, so we need to use heuristics to solve these problems on large instances,…

数据结构与算法 · 计算机科学 2015-02-20 Arindam Pal

We present an effective heuristic for the Steiner Problem in Graphs. Its main elements are a multistart algorithm coupled with aggressive combination of elite solutions, both leveraging recently-proposed fast local searches. We also propose…

数据结构与算法 · 计算机科学 2014-12-11 Thomas Pajor , Eduardo Uchoa , Renato F. Werneck

This work addresses the uniform parallel machine scheduling problem within an optimistic bilevel optimization framework. The leader seeks to minimize the weighted number of tardy jobs, while the follower aims to minimize the total…

最优化与控制 · 数学 2026-05-20 Quentin Schau , Federico Della Croce , Olivier Ploton , Vincent t'Kindt

This paper presents a novel neural network design that learns the heuristic for Large Neighborhood Search (LNS). LNS consists of a destroy operator and a repair operator that specify a way to carry out the neighborhood search to solve the…

神经与进化计算 · 计算机科学 2020-05-20 Mingxiang Chen , Lei Gao , Qichang Chen , Zhixin Liu

The experimental evaluation of algorithms results in a large set of data which generally do not follow a normal distribution or are not heteroscedastic. Besides, some of its entries may be missing, due to the inability of an algorithm to…

机器学习 · 计算机科学 2019-08-16 Iago A Carvalho

The recently presented idea to learn heuristics for combinatorial optimization problems is promising as it can save costly development. However, to push this idea towards practical implementation, we need better models and better ways of…

机器学习 · 统计学 2019-02-08 Wouter Kool , Herke van Hoof , Max Welling

We propose a Large Neighborhood Search (LNS) approach utilizing a learned construction heuristic based on neural networks as repair operator to solve the vehicle routing problem with time windows (VRPTW). Our method uses graph neural…

机器学习 · 计算机科学 2022-05-11 Jonas K. Falkner , Daniela Thyssens , Lars Schmidt-Thieme

The static bike rebalancing problem (SBRP) concerns the task of repositioning bikes among stations in self-service bike-sharing systems. This problem can be seen as a variant of the one-commodity pickup and delivery vehicle routing problem,…

人工智能 · 计算机科学 2016-05-05 Fábio Cruz , Anand Subramanian , Bruno P. Bruck , Manuel Iori
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