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The Dijkstra algorithm is a classical method for solving the shortest path problem on weighted graphs. There are several variations of the Dijkstra algorithm, including algorithms for the widest path problem and for two-player games. In…

数据结构与算法 · 计算机科学 2026-05-22 Takahiro Sanada , Yoàv Montacute , Kittiphon Phalakarn , Ichiro Hasuo

Trajectory optimization offers mature tools for motion planning in high-dimensional spaces under dynamic constraints. However, when facing complex configuration spaces, cluttered with obstacles, roboticists typically fall back to…

机器人学 · 计算机科学 2022-05-10 Tobia Marcucci , Mark Petersen , David von Wrangel , Russ Tedrake

In recent years, several combinatorial problems were introduced in the area of access control. Typically, such problems deal with an authorization policy, seen as a relation $UR \subseteq U \times R$, where $(u, r) \in UR$ means that user…

数据结构与算法 · 计算机科学 2016-04-26 Jason Crampton , Gregory Gutin , Rémi Watrigant

This study presents a hybrid metaheuristic for the resource-constrained project scheduling problem (RCPSP), which integrates a genetic algorithm (GA) and a neighborhood search strategy (NS). The RCPSP consists of a set of activities that…

最优化与控制 · 数学 2025-09-15 Evgenii Goncharov

Resource Constrained Project Scheduling Problems (RCPSPs) without preemption are well-known NP-hard combinatorial optimization problems. A feasible RCPSP solution consists of a time-ordered schedule of jobs with corresponding execution…

Project scheduling in manufacturing environments often requires flexibility in terms of the selection and the exact length of alternative production activities. Moreover, the simultaneous scheduling of multiple lots is mandatory in many…

人工智能 · 计算机科学 2020-10-26 Viktoria A. Hauder , Andreas Beham , Sebastian Raggl , Sophie N. Parragh , Michael Affenzeller

The Resource-Constrained Project Scheduling Problem (RCPSP) is a classical scheduling problem that has received significant attention due to of its numerous applications in industry. However, in practice, task durations are subject to…

人工智能 · 计算机科学 2025-11-18 Guillaume Infantes , Stéphanie Roussel , Antoine Jacquet , Emmanuel Benazera

In this paper we introduce a new algorithm for the \emph{$k$-Shortest Simple Paths} (\kspp{k}) problem with an asymptotic running time matching the state of the art from the literature. It is based on a black-box algorithm due to…

数据结构与算法 · 计算机科学 2023-09-20 Pedro Maristany de las Casas , Antonio Sedeño-Noda , Ralf Borndörfer , Max Huneshagen

In this study we consider the shortest path problem, where the arc costs are subject to distributional uncertainty. Basically, the decision-maker attempts to minimize her worst-case expected loss over an ambiguity set (or a family) of…

最优化与控制 · 数学 2021-03-16 Sergey S. Ketkov , Oleg A. Prokopyev , Evgenii P. Burashnikov

The logic-constrained shortest path problem (LCSPP) combines a one-to-one shortest path problem with satisfiability constraints imposed on the routing graph. This setting arises in flight planning, where air traffic control (ATC)…

人工智能 · 计算机科学 2026-05-05 Ricardo Euler , Pedro Maristany de las Casas , Ralf Borndörfer

The Single-Source Shortest Path (SSSP) problem is well-known for the challenges in developing fast, practical, and work-efficient parallel algorithms. This work introduces a novel shortest path search method. It allows paths with different…

分布式、并行与集群计算 · 计算机科学 2025-06-25 Huashan Yu , Xiaolin Wang , Yingwei Luo

Effective path planning is a pivotal challenge across various domains, from robotics to logistics and beyond. This research is centred on the development and evaluation of the Dynamic Curvature-Constrained Path Planning Algorithm (DCCPPA)…

机器人学 · 计算机科学 2024-10-07 Nishkal Gupta Myadam

The present work extends the randomized shortest-paths framework (RSP), interpolating between shortest-path and random-walk routing in a network, in three directions. First, it shows how to deal with equality constraints on a subset of…

机器学习 · 计算机科学 2018-07-13 Bertrand Lebichot , Guillaume Guex , Ilkka Kivimäki , Marco Saerens

We present an output-sensitive algorithm for evaluating an acyclic Conjunctive Regular Path Query (CRPQ). Its complexity is written in terms of the input size, the output size, and a well-known parameter of the query that is called the…

数据库 · 计算机科学 2026-03-17 Mahmoud Abo Khamis , Alexandru-Mihai Hurjui , Ahmet Kara , Dan Olteanu , Dan Suciu

With the pervasiveness of Stochastic Shortest-Path (SSP) problems in high-risk industries, such as last-mile autonomous delivery and supply chain management, robust planning algorithms are crucial for ensuring successful task completion…

人工智能 · 计算机科学 2024-08-19 Clinton Enwerem , Erfaun Noorani , John S. Baras , Brian M. Sadler

The quadratic shortest path problem (QSPP) is \textcolor{black}{the problem of finding a path with prespecified start vertex $s$ and end vertex $t$ in a digraph} such that the sum of weights of arcs and the sum of interaction costs over all…

最优化与控制 · 数学 2017-11-16 Hao Hu , Renata Sotirov

We study a new variant of the well-studied Vehicle Routing Problem with Time Windows (VRPTW), called the fragility-constrained VRPTW, which assumes that 1) the capacity of a vehicle is organized in multiple identical stacks; 2) all items…

最优化与控制 · 数学 2021-09-07 Clément Altman , Guy Desaulniers , Fausto Errico

This paper presents a novel hierarchical motion planning approach based on Rapidly-Exploring Random Trees (RRT) for global planning and Model Predictive Control (MPC) for local planning. The approach targets a three-wheeled cycle rickshaw…

机器人学 · 计算机科学 2021-03-11 Damir Bojadžić , Julian Kunze , Dinko Osmanković , Mohammadhossein Malmir , Alois Knoll

The resource constrained multi-mode multi-project scheduling problem (RCMMMPSP) is a notoriously difficult combinatorial optimization problem. For a given set of activities, feasible execution mode assignments and execution starting times…

人工智能 · 计算机科学 2013-10-03 Martin Josef Geiger

In this study, we present a simple and intuitive method for accelerating optimal Reeds-Shepp path computation. Our approach uses geometrical reasoning to analyze the behavior of optimal paths, resulting in a new partitioning of the state…

机器人学 · 计算机科学 2025-08-14 Ibrahim Ibrahim , Wilm Decré , Jan Swevers