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This work addresses a Multi-Objective Shortest Path Problem (MO-SPP) on a graph where the goal is to find a set of Pareto-optimal solutions from a start node to a destination in the graph. A family of approaches based on MOA* have been…

人工智能 · 计算机科学 2022-05-31 Zhongqiang Ren , Richard Zhan , Sivakumar Rathinam , Maxim Likhachev , Howie Choset

The Job-shop Scheduling Problem (JSP) is a well-known and challenging combinatorial optimization problem in which tasks sharing a machine are to be arranged in a sequence such that encompassing jobs can be completed as early as possible. In…

人工智能 · 计算机科学 2025-08-13 Mohammed M. S. El-Kholany , Martin Gebser , Konstantin Schekotihin

In this paper, we consider a probabilistic set covering problem (PSCP) in which each 0-1 row of the constraint matrix is random with a finite discrete distribution, and the objective is to minimize the total cost of the selected columns…

最优化与控制 · 数学 2025-01-27 Jie Liang , Cheng-Yang Yu , Wei Lv , Wei-Kun Chen , Yu-Hong Dai

This paper studies the nucleus decomposition problem, which has been shown to be useful in finding dense substructures in graphs. We present a novel parallel algorithm that is efficient both in theory and in practice. Our algorithm achieves…

分布式、并行与集群计算 · 计算机科学 2022-08-12 Jessica Shi , Laxman Dhulipala , Julian Shun

This paper proposes efficient solutions for $k$-core decomposition with high parallelism. The problem of $k$-core decomposition is fundamental in graph analysis and has applications across various domains. However, existing algorithms face…

数据结构与算法 · 计算机科学 2025-03-25 Youzhe Liu , Xiaojun Dong , Yan Gu , Yihan Sun

Large-scale itinerary planning is a variant of the traveling salesman problem, aiming to determine an optimal path that maximizes the collected points of interest (POIs) scores while minimizing travel time and cost, subject to travel…

人工智能 · 计算机科学 2025-06-16 Ziyu Zhang , Peilan Xu , Yuetong Sun , Yuhui Shi , Wenjian Luo

Semidefinite programs (SDP) are one of the most versatile frameworks in numerical optimization, serving as generalizations of many conic programs and as relaxations of NP-hard combinatorial problems. Their main drawback is their…

最优化与控制 · 数学 2022-02-28 Biel Roig-Solvas , Mario Sznaier

The problem of finding conflict-free trajectories for multiple agents of identical circular shape, operating in shared 2D workspace, is addressed in the paper and decoupled, e.g., prioritized, approach is used to solve this problem. Agents'…

人工智能 · 计算机科学 2017-03-16 Konstantin Yakovlev , Anton Andreychuk

It is well-known that by adding integrality constraints to the semidefinite programming (SDP) relaxation of the max-cut problem, the resulting integer semidefinite program is an exact formulation of the problem. In this paper we show…

最优化与控制 · 数学 2023-11-09 Frank de Meijer , Renata Sotirov

This thesis addresses the complexities of compiler optimizations, such as register allocation and Lifetime-optimal Speculative Partial Redundancy Elimination (LOSPRE), which are often handled using tree decomposition algorithms. However,…

编程语言 · 计算机科学 2025-07-23 Xuran Cai

As VLSI designs grow in complexity, partitioning is widely adopted to accelerate physical design through parallel computing. However, traditional hypergraph partitioning methods often degrade in performance when applied to 2D layouts due to…

新兴技术 · 计算机科学 2026-04-21 Chen Liu , Hongxin Kong , Lang Feng , Wenchao Qian , Wuxi Li

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…

数据结构与算法 · 计算机科学 2015-01-13 Jingwei Sun , Guangzhong Sun

A merger of two optimization frameworks is introduced: SEquential Subspace OPtimization (SESOP) with MultiGrid (MG) optimization. At each iteration of the algorithm, the search direction implied by the coarse-grid correction process of MG…

最优化与控制 · 数学 2021-10-22 Tao Hong , Irad Yavneh , Michael Zibulevsky

The worst-case robust adaptive beamforming problem for general-rank signal model is considered. Its formulation is to maximize the worst-case signal-to-interference-plus-noise ratio (SINR), incorporating a positive semidefinite constraint…

信号处理 · 电气工程与系统科学 2018-05-15 Yongwei Huang , Sergiy A. Vorobyov

In this paper, we show that the standard semidefinite programming (SDP) relaxation of altering current optimal power flow (AC OPF) can be equivalently reformulated as second-order cone programming (SOCP) relaxation with maximal clique- and…

最优化与控制 · 数学 2018-10-09 Lingling Fan , Hossein Ghassempour Aghamolki , Zhixin Miao , Bo Zeng

The pooling problem is an important industrial problem in the class of network flow problems for allocating gas flow in pipeline transportation networks. For P-formulation of the pooling problem with time discretization, we propose second…

最优化与控制 · 数学 2018-04-10 Masaki Kimizuka , Sunyoung Kim , Makoto Yamashita

Customizable contraction hierarchies are one of the most popular route planning frameworks in practice, due to their simplicity and versatility. In this work, we present a novel algorithm for finding k-nearest neighbors in customizable…

数据结构与算法 · 计算机科学 2021-03-19 Valentin Buchhold , Dorothea Wagner

In this work, we present a novel strategy for correcting imperfections in occupancy grid maps called map decay. The objective of map decay is to correct invalid occupancy probabilities of map cells that are unobservable by sensors. The…

Machine learning (ML) approaches are increasingly being used to accelerate combinatorial optimization (CO) problems. We investigate the Set Cover Problem (SCP) and propose Graph-SCP, a graph neural network method that augments existing…

机器学习 · 计算机科学 2025-10-10 Zohair Shafi , Benjamin A. Miller , Tina Eliassi-Rad , Rajmonda S. Caceres

A number of problems in relational Artificial Intelligence can be viewed as Stochastic Constraint Optimization Problems (SCOPs). These are constraint optimization problems that involve objectives or constraints with a stochastic component.…

人工智能 · 计算机科学 2018-07-04 Anna L. D. Latour , Behrouz Babaki , Siegfried Nijssen