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This paper presents near-optimal deterministic parallel and distributed algorithms for computing $(1+\varepsilon)$-approximate single-source shortest paths in any undirected weighted graph. On a high level, we deterministically reduce this…

Data Structures and Algorithms · Computer Science 2022-09-26 Václav Rozhoň , Christoph Grunau , Bernhard Haeupler , Goran Zuzic , Jason Li

We present efficient parallel algorithms for computing maximal matchings in hypergraphs. Our algorithm finds locally maximal edges in the hypergraph and adds them in parallel to the matching. In the CRCW PRAM models our algorithms achieve…

Data Structures and Algorithms · Computer Science 2026-03-13 Henrik Reinstädtler , Christian Schulz , Nodari Sitchinava , Fabian Walliser

Multi-Objective Optimization (MOO) techniques have become increasingly popular in recent years due to their potential for solving real-world problems in various fields, such as logistics, finance, environmental management, and engineering.…

Neural and Evolutionary Computing · Computer Science 2024-07-15 Noor A. Rashed , Yossra H. Ali , Tarik A. Rashid , A. Salih

The shortest paths problem is a fundamental challenge in graph theory, with a broad range of potential applications. The algorithms based on matrix multiplication exhibits excellent parallelism and scalability, but is constrained by high…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-14 Yelai Feng , Huaixi Wang , Yining Zhu , Xiandong Liu , Hongyi Lu , Qing Liu

The evolution of gene regulatory networks in variable environments poses Multi-objective Optimization Problem (MOP), where the expression levels of genes must be tuned to meet the demands of each environment. When formalized in the context…

Optimization and Control · Mathematics 2018-04-23 Philippe Nghe , Bela M. Mulder , Sander J. Tans

The approximate minimum degree algorithm is widely used before numerical factorization to reduce fill-in for sparse matrices. While considerable attention has been given to the numerical factorization process, less focus has been placed on…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-26 Yen-Hsiang Chang , Aydın Buluç , James Demmel

We present a review that unifies decision-support methods for exploring the solutions produced by multi-objective optimization (MOO) algorithms. As MOO is applied to solve diverse problems, approaches for analyzing the trade-offs offered by…

Artificial Intelligence · Computer Science 2023-11-21 Zuzanna Osika , Jazmin Zatarain Salazar , Diederik M. Roijers , Frans A. Oliehoek , Pradeep K. Murukannaiah

This paper addresses a generalization of the well known multi-agent path finding (MAPF) problem that optimizes multiple conflicting objectives simultaneously such as travel time and path risk. This generalization, referred to as…

Robotics · Computer Science 2022-03-08 Zhongqiang Ren , Sivakumar Rathinam , Maxim Likhachev , Howie Choset

One of the simplest problems on directed graphs is that of identifying the set of vertices reachable from a designated source vertex. This problem can be solved easily sequentially by performing a graph search, but efficient parallel…

Data Structures and Algorithms · Computer Science 2017-11-07 Jeremy T. Fineman

In this paper, we evaluate the performance of various parallel optimization methods for Kernel Support Vector Machines on multicore CPUs and GPUs. In particular, we provide the first comparison of algorithms with explicit and implicit…

Machine Learning · Computer Science 2014-04-04 Stephen Tyree , Jacob R. Gardner , Kilian Q. Weinberger , Kunal Agrawal , John Tran

The main aim of this paper is to solve a path planning problem for an autonomous mobile robot in static and dynamic environments. The problem is solved by determining the collision-free path that satisfies the chosen criteria for shortest…

Robotics · Computer Science 2020-03-24 Fatin H. Ajeil , Ibraheem Kasim Ibraheem , Mouayad A. Sahib , Amjad J. Humaidi

In the research of Intelligent Transportation Systems (ITS), traffic simulation is a key procedure for the evaluation of new methods and optimization of strategies. However, existing traffic simulation systems face two challenges. First,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-22 Jun Zhang , Wenxuan Ao , Junbo Yan , Can Rong , Depeng Jin , Wei Wu , Yong Li

In the current paper, we present an optimization system solving multi objective production scheduling problems (MOOPPS). The identification of Pareto optimal alternatives or at least a close approximation of them is possible by a set of…

Artificial Intelligence · Computer Science 2008-09-08 Martin Josef Geiger

This paper proposes MOON (Multi-Objective Optimization-driven Object-goal Navigation), a novel framework designed for efficient navigation in large-scale, complex indoor environments. While existing methods often rely on local heuristics,…

Robotics · Computer Science 2026-01-06 Daigo Nakajima , Kanji Tanaka , Daiki Iwata , Kouki Terashima

In this paper we propose a new parallel algorithm for solving global optimization (GO) multidimensional problems. The method unifies two powerful approaches for accelerating the search: parallel computations and local tuning on the behavior…

Optimization and Control · Mathematics 2011-03-31 Yaroslav D. Sergeyev

Path planning is essential for unmanned aerial vehicles (UAVs) as it determines the path that the UAV needs to follow to complete a task. This work addresses this problem by introducing a new algorithm called navigation variable-based…

Robotics · Computer Science 2025-01-08 Thi Thuy Ngan Duong , Duy-Nam Bui , Manh Duong Phung

Conventional multi-agent path planners typically compute an ensemble of paths while optimizing a single objective, such as path length. However, many applications may require multiple objectives, say fuel consumption and completion time, to…

Artificial Intelligence · Computer Science 2022-06-23 Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

This paper studies a class of multi-robot coordination problems where a team of robots aim to reach their goal regions with minimum time and avoid collisions with obstacles and other robots. A novel numerical algorithm is proposed to…

Optimization and Control · Mathematics 2020-09-02 Guoxiang Zhao , Minghui Zhu

We give the first parallel algorithm with optimal $\tilde{O}(m)$ work for the classical problem of computing Single-Source Shortest Paths in general graphs with negative-weight edges. In graphs without negative edges, Dijkstra's algorithm…

Data Structures and Algorithms · Computer Science 2024-10-29 Nick Fischer , Bernhard Haeupler , Rustam Latypov , Antti Roeyskoe , Aurelio L. Sulser

Direct Multisearch (DMS) is a Derivative-free Optimization class of algorithms suited for computing approximations to the complete Pareto front of a given Multiobjective Optimization problem. It has a well-supported convergence analysis and…

Optimization and Control · Mathematics 2021-05-10 S. Tavares , C. P. Brás , A. L. Custódio , V. Duarte , P. Medeiros