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The classic Resource Constrained Shortest Path (RCSP) problem aims to find a cost optimal path between a pair of nodes in a network such that the resources used in the path are within a given limit. Having been studied for over a decade,…

Artificial Intelligence · Computer Science 2025-04-17 Saman Ahmadi , Andrea Raith , Guido Tack , Mahdi Jalili

The classic problem of constrained pathfinding is a well-studied, yet challenging, topic in AI with a broad range of applications in various areas such as communication and transportation. The Weight Constrained Shortest Path Problem…

Artificial Intelligence · Computer Science 2024-03-07 Saman Ahmadi , Guido Tack , Daniel Harabor , Philip Kilby , Mahdi Jalili

Safety is a critical concern for urban flights of autonomous Unmanned Aerial Vehicles. In populated environments, risk should be accounted for to produce an effective and safe path, known as risk-aware path planning. Risk-aware path…

Robotics · Computer Science 2024-09-19 Jun Xiang , Junfei Xie , Jun Chen

We formulate the Resource-Constrained Project Scheduling Problem (RCPSP) as optimal search over the reachability graph of a Timed Transition Petri Net with Resources, using relative-delay tokens so that scheduling decisions correspond to…

Artificial Intelligence · Computer Science 2026-05-18 Ido Lublin , Dor Atzmon , Izack Cohen

The Resource Constrained Shortest Path Problem (RCSPP) is a fundamental combinatorial optimisation problem in which the goal is to find a least-cost path in a directed graph subject to one or more resource constraints. In this paper we…

Optimization and Control · Mathematics 2025-11-04 Bjørn Petersen , Simon Spoorendonk

Resource constrained shortest path problems are usually solved thanks to a smart enumeration of all the non-dominated paths. Recent improvements of these enumeration algorithms rely on the use of bounds on path resources to discard partial…

Data Structures and Algorithms · Computer Science 2017-02-16 Axel Parmentier

Planning for Autonomous Unmanned Ground Vehicles (AUGV) is still a challenge, especially in difficult, off-road, critical situations. Automatic planning can be used to reach mission objectives, to perform navigation or maneuvers. Most of…

Artificial Intelligence · Computer Science 2021-08-03 Kevin Osanlou , Christophe Guettier , Andrei Bursuc , Tristan Cazenave , Eric Jacopin

The resource-constrained shortest path problem (RCSPP) is a fundamental NP-hard optimization challenge with broad applications, from network routing to autonomous navigation. This problem involves finding a path that minimizes a primary…

Robotics · Computer Science 2026-05-20 Nuno Soares , António Grilo

The Multi-objective Shortest Path (MOSP) problem is a classic network optimization problem that aims to find all Pareto-optimal paths between two points in a graph with multiple edge costs. Recent studies on multi-objective search with A*…

Artificial Intelligence · Computer Science 2025-03-14 Saman Ahmadi , Nathan R. Sturtevant , Andrea Raith , Daniel Harabor , Mahdi Jalili

Safety is extremely important for urban flights of autonomous Unmanned Aerial Vehicles (UAVs). Risk-aware path planning is one of the most effective methods to guarantee the safety of UAVs. This type of planning can be represented as a…

Robotics · Computer Science 2024-11-22 Jun Xiang , Jun Chen

Finding the shortest path between two points in a graph is a fundamental problem that has been well-studied over the past several decades. Shortest path algorithms are commonly applied to modern navigation systems, so our study aims to…

Data Structures and Algorithms · Computer Science 2022-08-02 Kevin Y. Chen

A Constraint Satisfaction Problem (CSP) is a framework used for modeling and solving constrained problems. Tree-search algorithms like backtracking try to construct a solution to a CSP by selecting the variables of the problem one after…

Artificial Intelligence · Computer Science 2014-10-06 Muhammad Rezaul Karim

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…

Robotics · Computer Science 2025-02-25 Shizhe Zhao , Anushtup Nandy , Howie Choset , Sivakumar Rathinam , Zhongqiang Ren

The Restricted Shortest Path (RSP) problem, also known as the Delay-Constrained Least-Cost (DCLC) problem, is an NP-hard bicriteria optimization problem on graphs with $n$ vertices and $m$ edges. In a graph where each edge is assigned a…

Data Structures and Algorithms · Computer Science 2019-11-05 David Holzmüller

We study the energy-optimal shortest path problem for electric vehicles (EVs) in large-scale road networks, where recuperated energy along downhill segments introduces negative energy costs. While traditional point-to-point pathfinding…

Artificial Intelligence · Computer Science 2025-12-02 Saman Ahmadi , Mahdi Jalili

Randomized Greedy Algorithms (RGAs) are interesting approaches to solve problems whose structures are not well understood as well as problems in combinatorial optimization which incorporate the random processes and the greedy algorithms.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-11 Pham Dinh Thanh , Huynh Thi Thanh Binh , Do Dinh Dac , Nguyen Binh Long , Le Minh Hai Phong

We present Neural A*, a novel data-driven search method for path planning problems. Despite the recent increasing attention to data-driven path planning, machine learning approaches to search-based planning are still challenging due to the…

Machine Learning · Computer Science 2021-07-08 Ryo Yonetani , Tatsunori Taniai , Mohammadamin Barekatain , Mai Nishimura , Asako Kanezaki

RRT* is an efficient sampling-based motion planning algorithm. However, without taking advantages of accessible environment information, sampling-based algorithms usually result in sampling failures, generate useless nodes, and/or fail in…

Robotics · Computer Science 2022-07-19 Chenxi Feng , Haochen Wu

This paper investigates the problem of computing the shortest path between two states under resource constraints in environments with resource-replenishment regions. Namely, the length of the path is limited by a budget that can be restored…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Khaled Surur , Melkior Ornik

Resource-constrained project scheduling problems (RCPSP) are at the heart of many production planning problems across a plethora of applications. Although the problem has been studied since the early 1960s, most developments and test…

Optimization and Control · Mathematics 2022-09-07 Rodrigo A. Carrasco , Diego Fuentes , Eduardo Moreno
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