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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

Constrained pathfinding is a well-studied, yet challenging network optimisation problem that can be seen in a broad range of real-world applications. Pathfinding with multiple resource limits, which is known as the Resource Constrained…

Artificial Intelligence · Computer Science 2025-10-03 Saman Ahmadi , Andrea Raith , Mahdi Jalili

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

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

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 Shortest Paths Problem (SPP) is no longer unresolved. Just for a large scalar of instance on this problem, even we cannot know if an algorithm achieves the computing. Those cutting-edge methods are still in the low performance. If we go…

Data Structures and Algorithms · Computer Science 2019-01-23 Yong Tan

In this work, we investigate whether machine learning can be leveraged to identify promising states in dynamic programming algorithms, focusing on Elementary Resource Constrained Shortest Path Problems (ERCSPP). More in detail, we solved 41…

Optimization and Control · Mathematics 2026-05-06 Saverio Basso , Matteo Salani

With the spread of robots in unstructured, dynamic environments, the topic of path replanning has gained importance in the robotics community. Although the number of replanning strategies has significantly increased, there is a lack of…

Robotics · Computer Science 2023-12-01 Cesare Tonola , Manuel Beschi , Marco Faroni , Nicola Pedrocchi

A variant of the well-known Shortest Path Problem is studied in this paper, where pairs of conflicting arcs are provided, and for each conflicting pair a penalty is paid once neither or both of the arcs are selected. This configures a set…

Optimization and Control · Mathematics 2025-06-05 Roberto Montemanni , Derek H. Smith

The Shortest-Path Problem in Graph of Convex Sets (SPP in GCS) is a recently developed optimization framework that blends discrete and continuous decision making. Many relevant problems in robotics, such as collision-free motion planning,…

Path planning for 3D solid objects is a challenging problem, requiring a search in a six-dimensional configuration space, which is, nevertheless, essential in many robotic applications such as bin-picking and assembly. The commonly used…

Robotics · Computer Science 2026-01-09 Michal Minařík , Vojtěch Vonásek , Robert Pěnička

We describe a new library named picasso, which implements a unified framework of pathwise coordinate optimization for a variety of sparse learning problems (e.g., sparse linear regression, sparse logistic regression, sparse Poisson…

Machine Learning · Statistics 2020-06-30 Jason Ge , Xingguo Li , Haoming Jiang , Han Liu , Tong Zhang , Mengdi Wang , Tuo Zhao

We study a resource-constrained variant of the Random Disambiguation Path (RDP) problem, a generalization of the Stochastic Obstacle Scene (SOS) problem, in which a navigating agent must reach a target in a spatial environment populated…

Robotics · Computer Science 2025-07-10 Li Zhou , Elvan Ceyhan

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

Efficient solution of the single source shortest path (SSSP) problem on road networks is an important requirement for numerous real-world applications. This paper introduces an algorithm for the SSSP problem using compression method. Owning…

Data Structures and Algorithms · Computer Science 2015-01-13 Jingwei Sun , Guangzhong Sun

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

Traditional lock-free parallel algorithms for combinatorial optimization problems, such as shortest paths, stable matching, and job scheduling require programmers to write problem-specific routines and synchronization code. We propose a…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-16 David Ribeiro Alves , Vijay K. Garg

We consider a constrained shortest path problem with two resources. These two resources can be converted into each other in a particular manner. Our practical application is the energy optimal routing of hybrid vehicles. Due to the…

Discrete Mathematics · Computer Science 2016-01-12 Christian Schwan , Martin Strehler

This paper considers heuristics for well known resource-constrained project scheduling problem (RCPSP). First a feasible schedule is constructed using randomized best insertion algorithm. The construction is followed by a local search where…

Discrete Mathematics · Computer Science 2007-05-23 Igor Pesek , Janez Žerovnik

In a conventional supervised learning setting, a machine learning model has access to examples of all object classes that are desired to be recognized during the inference stage. This results in a fixed model that lacks the flexibility to…

Computer Vision and Pattern Recognition · Computer Science 2020-01-27 Jathushan Rajasegaran , Munawar Hayat , Salman Khan , Fahad Shahbaz Khan , Ling Shao , Ming-Hsuan Yang
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