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In this article, we consider a multi-agent path planning problem in a partially impeded environment. The impeded environment is represented by a graph with select road segments (edges) in disrepair impeding vehicular movement in the road…

We combine ideas from uni-directional and bi-directional heuristic search, and approximation algorithms for the Traveling Salesman Problem, to develop a novel framework for a Multi-Goal Path Finding (MGPF) problem that provides a…

Artificial Intelligence · Computer Science 2021-03-17 Kenny Chour , Sivakumar Rathinam , Ramamoorthi Ravi

The method is based on the preliminary transformation of the traditionally used matrices or adjacency lists in the graph theory into refined projections free from redundant information, and their subsequent use in constructing shortest…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-25 V. A. Melent'ev

We consider both discrete and continuous control problems constrained by a fixed budget of some resource, which may be renewed upon entering a preferred subset of the state space. In the discrete case, we consider both deterministic and…

Optimization and Control · Mathematics 2014-09-30 Ryo Takei , Weiyan Chen , Zachary Clawson , Slav Kirov , Alexander Vladimirsky

Computing shortest paths is a fundamental primitive for several social network applications including socially-sensitive ranking, location-aware search, social auctions and social network privacy. Since these applications compute paths in…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-09-05 Rachit Agarwal , Matthew Caesar , P. Brighten Godfrey , Ben Y. Zhao

We study efficient and exact shortest path algorithms for routing on road networks with realistic traffic data. For navigation applications, both current (i.e., live) traffic events and predictions of future traffic flows play an important…

Data Structures and Algorithms · Computer Science 2022-09-21 Nils Werner , Tim Zeitz

We introduce a simple yet effective sampling-based planner that is tailored for bottleneck pathfinding: Given an implicitly-defined cost map $\mathcal{M}:\mathbb{R}^d\rightarrow \mathbb{R}$, which assigns to every point in space a real…

Robotics · Computer Science 2016-09-28 Kiril Solovey , Dan Halperin

Unit commitment problem on an electricity network consists in choosing the production plan of the plants (units) of a company in order to meet demand constraints. It is generally solved using a decomposition approach where demand…

Optimization and Control · Mathematics 2018-09-05 Markus Kruber , Axel Parmentier , Pascal Benchimol

We present improved deterministic algorithms for approximating shortest paths in the Congested Clique model of distributed computing. We obtain $poly(\log\log n)$-round algorithms for the following problems in unweighted undirected…

Data Structures and Algorithms · Computer Science 2020-03-09 Michal Dory , Merav Parter

We consider the problem of optimal planning in stochastic domains with resource constraints, where the resources are continuous and the choice of action at each step depends on resource availability. We introduce the HAO* algorithm, a…

Artificial Intelligence · Computer Science 2014-01-16 Nicolas Meuleau , Emmanuel Benazera , Ronen I. Brafman , Eric A. Hansen , Mausam

The paper investigates stochastic resource allocation problems with scarce, reusable resources and non-preemtive, time-dependent, interconnected tasks. This approach is a natural generalization of several standard resource management…

Machine Learning · Computer Science 2014-01-16 Balázs Csanád Csáji , László Monostori

Path planning in robotics often involves solving continuously valued, high-dimensional problems. Popular informed approaches include graph-based searches, such as A*, and sampling-based methods, such as Informed RRT*, which utilize informed…

Robotics · Computer Science 2025-09-01 Liding Zhang , Kuanqi Cai , Yu Zhang , Zhenshan Bing , Chaoqun Wang , Fan Wu , Sami Haddadin , Alois Knoll

The concept of anchored solutions is proposed as a new robust optimization approach to the Resource-Constrained Project Scheduling Problem (RCPSP) under processing times uncertainty. The Anchor-Robust RCPSP is defined, to compute a baseline…

Optimization and Control · Mathematics 2020-11-05 Adèle Pass-Lanneau , Pascale Bendotti , Luca Brunod-Indrigo

We describe how to convert the heuristic search algorithm A* into an anytime algorithm that finds a sequence of improved solutions and eventually converges to an optimal solution. The approach we adopt uses weighted heuristic search to find…

Artificial Intelligence · Computer Science 2011-10-13 E. A. Hansen , R. Zhou

Problems affecting the transport of people or goods are plentiful in industry and commerce and they also appear to be at the origin of much more complex problems. In recent years, the logistics and transport sector keeps growing supported…

Artificial Intelligence · Computer Science 2020-09-23 Alessandro Bertagnon

We consider the bi-criteria shortest-path problem where we want to compute shortest paths on a graph that simultaneously balance two cost functions. While this problem has numerous applications, there is usually no path minimizing both cost…

Data Structures and Algorithms · Computer Science 2021-03-08 Oren Salzman

Constrained motion planning is a challenging field of research, aiming for computationally efficient methods that can find a collision-free path on the constraint manifolds between a given start and goal configuration. These planning…

Robotics · Computer Science 2021-07-06 Ahmed H. Qureshi , Jiangeng Dong , Asfiya Baig , Michael C. Yip

Goal-oriented Reinforcement Learning, where the agent needs to reach the goal state while simultaneously minimizing the cost, has received significant attention in real-world applications. Its theoretical formulation, stochastic shortest…

Machine Learning · Computer Science 2022-06-13 Ming Yin , Wenjing Chen , Mengdi Wang , Yu-Xiang Wang

We study a scenario for route planning in road networks, where the objective to be optimized may change between every shortest path query. Since this invalidates many of the known speedup techniques for road networks that are based on…

Data Structures and Algorithms · Computer Science 2015-09-11 Julian Dibbelt , Ben Strasser , Dorothea Wagner

The problem of constrained coverage path planning involves a robot trying to cover maximum area of an environment under some constraints that appear as obstacles in the map. Out of the several coverage path planning methods, we consider…

Robotics · Computer Science 2017-08-11 Ankit Manerikar , Debasmit Das , Pranay Banerjee