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Related papers: Heuristic Search for Path Finding with Refuelling

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In the last years, there has been a great interest in machine-learning-based heuristics for solving NP-hard combinatorial optimization problems. The developed methods have shown potential on many optimization problems. In this paper, we…

Optimization and Control · Mathematics 2022-12-19 Mouad Morabit , Guy Desaulniers , Andrea Lodi

In this paper, we study the Maximum-Profit Routing Problem with Variable Supply (MPRP-VS). This is a more general version of the Maximum-Profit Public Transportation Route Planning Problem, or simply Maximum-Profit Routing Problem (MPRP),…

Data Structures and Algorithms · Computer Science 2020-07-21 Bogdan Armaselu

Planning as heuristic search is one of the most successful approaches to classical planning but unfortunately, it does not extend trivially to Generalized Planning (GP). GP aims to compute algorithmic solutions that are valid for a set of…

Artificial Intelligence · Computer Science 2023-01-27 Javier Segovia-Aguas , Sergio Jiménez , Anders Jonsson

The performance of search algorithms for grid-based pathfinding, e.g. A*, critically depends on the heuristic function that is used to focus the search. Recent studies have shown that informed heuristics that take the positions/shapes of…

Machine Learning · Computer Science 2026-03-02 Aleksandr Ananikian , Daniil Drozdov , Konstantin Yakovlev

We study the airplane refueling problem which was introduced by the physicists Gamow and Stern in their classical book Puzzle-Math (1958). Sticking to the original story behind this problem, suppose we have to deliver a bomb in some distant…

Data Structures and Algorithms · Computer Science 2015-12-22 Iftah Gamzu , Danny Segev

In this work we tackle the path planning problem for a 21-dimensional snake robot-like manipulator, navigating a cluttered gas turbine for the purposes of inspection. Heuristic search based approaches are effective planning strategies for…

Given a multidimensional free-energy or potential-energy landscape, finding reaction paths that connect an initial (or reactant) state and a final (or product) state is important for biophysics and materials science. The likelihood of a…

Statistical Mechanics · Physics 2024-12-12 Tetsuro Nagai , Koji Yoshida

Path finding algorithm addresses problem of finding shortest path from source to destination avoiding obstacles. There exist various search algorithms namely A*, Dijkstra's and ant colony optimization. Unlike most path finding algorithms…

Artificial Intelligence · Computer Science 2015-04-10 Ahlam Ansari , Mohd Amin Sayyed , Khatija Ratlamwala , Parvin Shaikh

This paper outlines the ideas behind developing a graph-based heuristic-driven routing algorithm designed for a particular instance of a goods transportation problem with a single good type. The proposed algorithm solves the optimization…

Artificial Intelligence · Computer Science 2021-02-16 Mikhail Shchukin , Aymen Ben Said , Andre Lobo Teixeira

Multi Agent Path Finding (MAPF) seeks the optimal set of paths for multiple agents from respective start to goal locations such that no paths conflict. We address the MAPF problem for a fleet of hybrid-fuel unmanned aerial vehicles which…

Optimization and Control · Mathematics 2024-03-27 Drew Scott , Satyanarayana G. Manyam , David W. Casbeer , Manish Kumar , Isaac E. Weintraub

The scarcity of non-renewable energy sources, geopolitical problems in its supply, increasing prices, and the impact of climate change, force the global economy to develop more energy-efficient solutions for their operations. The…

Artificial Intelligence · Computer Science 2025-10-07 Ahmed Missaoui , Cemalettin Ozturk , Barry O'Sullivan

School bus planning problem (SBPP) has drawn much research attention due to the huge costs of school transportation. In the literature, the SBPP is usually decomposed into the routing and scheduling subproblems due to its complexity.…

Data Structures and Algorithms · Computer Science 2018-10-01 Ali Shafahi , Zhongxiang Wang , Ali Haghani

The Constraint Shortest Path (CSP) problem is as follows. An $n$-vertex graph is given, each edge/arc assigned two weights. Let us call them "cost" and "length" for definiteness. Finding a min-cost upper-bounded length path between a given…

Data Structures and Algorithms · Computer Science 2022-04-12 Adil Erzin , Roman Plotnikov , Ilya Ladygin

In this paper we present a new population based metaheuristic called the fixed set search (FSS). The proposed approach represents a method of adding a learning mechanism to the greedy randomized adaptive search procedure (GRASP). The basic…

Artificial Intelligence · Computer Science 2018-09-14 Raka Jovanovic , Milan Tuba , Stefan Voss

Interaction-aware planning for autonomous driving requires an exploration of a combinatorial solution space when using conventional search- or optimization-based motion planners. With Deep Reinforcement Learning, optimal driving strategies…

Robotics · Computer Science 2021-02-08 Julian Bernhard , Robert Gieselmann , Klemens Esterle , Alois Knoll

We investigate a structural decomposition for the capacitated vehicle routing problem (CVRP) based on vehicle-to-customer "assignment" and visits "sequencing" decision variables. We show that an heuristic search focused on assignment…

Optimization and Control · Mathematics 2018-03-19 Túlio A. M. Toffolo , Thibaut Vidal , Tony Wauters

Smart city has been consider the wave of the future and the route recommendation in networks is a fundamental problem in it. Most existing approaches for the shortest route problem consider that there is only one kind of cost in networks.…

Databases · Computer Science 2020-04-28 Yajun Yang , Hang Zhang , Hong Gao , Qinghua Hu , Xin Wang

The electric vehicle sharing problem (EVSP) arises from the planning and operation of one-way electric car-sharing systems. It aims to maximize the total rental time of a fleet of electric vehicles while ensuring that all the demands of the…

Computational Complexity · Computer Science 2023-05-23 Welverton R. Silva , Fábio L. Usberti , Rafael C. S. Schouery

Extended Stability Runge-Kutta (ESRK) methods are crucial for solving large-scale computational problems in science and engineering, including weather forecasting, aerodynamic analysis, and complex biological modelling. However, balancing…

Machine Learning · Computer Science 2025-06-27 Gavin Lee Goodship , Luis Miralles-Pechuan , Stephen O'Sullivan

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…

Machine Learning · Statistics 2019-02-08 Wouter Kool , Herke van Hoof , Max Welling