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8,150 Results Found

  • Article
  • Open Access
35 Citations
4,981 Views
11 Pages

Quantum Approximation for Wireless Scheduling

  • Jaeho Choi,
  • Seunghyeok Oh and
  • Joongheon Kim

13 October 2020

This paper proposes an application algorithm based on a quantum approximate optimization algorithm (QAOA) for wireless scheduling problems. QAOA is one of the promising hybrid quantum-classical algorithms to solve combinatorial optimization problems...

(This article belongs to the Section Quantum Science and Technology)
  • Article
  • Open Access
7 Citations
4,900 Views
15 Pages

Adding Edges for Maximizing Weighted Reachability

  • Federico Corò,
  • Gianlorenzo D'Angelo and
  • Cristina M. Pinotti

18 March 2020

In this paper, we consider the problem of improving the reachability of a graph. We approach the problem from a graph augmentation perspective, in which a limited set size of edges is added to the graph to increase the overall number of reachable nod...

  • Feature Paper
  • Article
  • Open Access
1,310 Views
12 Pages

30 June 2025

We investigate Metropolis–Hastings (MH) algorithms to approximate the distribution of independent binomial random variables conditioned on the sum. Let Xi∼BIN(ni,pi). We want the distribution of [X1,…,Xk] conditioned on X1+⋯+Xk...

  • Article
  • Open Access
1 Citations
3,047 Views
14 Pages

Optimal Centers’ Allocation in Smoothing or Interpolating with Radial Basis Functions

  • Pedro González-Rodelas,
  • Hasan M. H. Idais,
  • Mohammed Yasin and
  • Miguel Pasadas

24 December 2021

Function interpolation and approximation are classical problems of vital importance in many science/engineering areas and communities. In this paper, we propose a powerful methodology for the optimal placement of centers, when approximating or interp...

(This article belongs to the Special Issue Spline Functions and Applications)
  • Article
  • Open Access
6 Citations
2,971 Views
16 Pages

Single Machine Vector Scheduling with General Penalties

  • Xiaofei Liu,
  • Weidong Li and
  • Yaoyu Zhu

17 August 2021

In this paper, we study the single machine vector scheduling problem (SMVS) with general penalties, in which each job is characterized by a d-dimensional vector and can be accepted and processed on the machine or rejected. The objective is to minimiz...

  • Article
  • Open Access
13 Citations
4,876 Views
17 Pages

Multi-Satellite Imaging Task Planning for Large Regional Coverage: A Heuristic Algorithm Based on Triple Grids Method

  • Feng Li,
  • Qiuhua Wan,
  • Feifei Wen,
  • Yongkui Zou and ,
  • Qien He,
  • Da Li and
  • Xing Zhong
  • + 2 authors+ 0 author

2 January 2024

Over the past few decades, there has been a significant increase in the number of Earth observation satellites, and the area of ground targets requiring observation has also been expanding. To effectively utilize the capabilities of these satellites...

  • Article
  • Open Access
3 Citations
4,344 Views
20 Pages

18 January 2022

Motivated by applications in ride-sharing and truck-delivery, we study the problem of matching a number of requests and assigning them to cars. A number of cars are given, each of which consists of a location and a speed, and a number of requests are...

(This article belongs to the Collection Feature Paper in Algorithms and Complexity Theory)
  • Article
  • Open Access
2 Citations
2,145 Views
31 Pages

Cost-Effective Resources for Computing Approximation Queries in Mobile Cloud Computing Infrastructure

  • Arun Kumar Sangaiah,
  • Amir Javadpour,
  • Pedro Pinto,
  • Haruna Chiroma and
  • Lubna A. Gabralla

25 August 2023

Answering a query through a peer-to-peer database presents one of the greatest challenges due to the high cost and time required to obtain a comprehensive response. Consequently, these systems were primarily designed to handle approximation queries....

(This article belongs to the Section Intelligent Sensors)
  • Article
  • Open Access
10 Citations
5,204 Views
19 Pages

22 July 2020

We suggest a provable and practical approximation algorithm for fitting a set P of n points in R d to a sphere. Here, a sphere is represented by its center x ∈ R d and radius r > 0 . The goal is to minimize the sum...

(This article belongs to the Section Randomized, Online, and Approximation Algorithms)
  • Article
  • Open Access
4 Citations
2,858 Views
19 Pages

27 December 2021

Iterative algorithms have been utilized for the computation of approximate solutions of stationary and evolutionary problems associated with differential equations. The aim of this article is to introduce concepts of monotone Reich and Chatterjea non...

(This article belongs to the Special Issue Advances in Abstract Inequalities, Partial Functional Differential Equations and Their Applications)
  • Article
  • Open Access
3 Citations
2,889 Views
13 Pages

13 April 2022

In this study, a Uzawa-type iterative algorithm is introduced and analyzed for solving the stationary natural convection model, where physical variables are discretized by utilizing a mixed finite element method. Compared with the common Uzawa iterat...

(This article belongs to the Special Issue Finite Element Methods for the Navier-Stokes Equations and MHD Equations)
  • Article
  • Open Access
3 Citations
2,840 Views
13 Pages

An Additively Optimal Interpreter for Approximating Kolmogorov Prefix Complexity

  • Zoe Leyva-Acosta,
  • Eduardo Acuña Yeomans and
  • Francisco Hernandez-Quiroz

20 September 2024

We study practical approximations of Kolmogorov prefix complexity (K) using IMP2, a high-level programming language. Our focus is on investigating the optimality of the interpreter for this language as the reference machine for the Coding Theorem Met...

(This article belongs to the Section Complexity)
  • Article
  • Open Access
457 Views
27 Pages

14 August 2026

In this work, we benchmark two prominent quantum algorithms: Quantum Imaginary-Time Evolution (QITE) and the Quantum Approximate Optimization Algorithm (QAOA) for obtaining the ground state of Ising-type Hamiltonians. Specifically, we apply them to t...

(This article belongs to the Special Issue Quantum Computing in the NISQ Era, Second Edition)
  • Feature Paper
  • Article
  • Open Access
2,638 Views
11 Pages

Lightweight Implicit Approximation of the Minkowski Sum of an N-Dimensional Ellipsoid and Hyperrectangle

  • Martijn Courteaux,
  • Bert Ramlot,
  • Peter Lambert and
  • Glenn Van Wallendael

18 April 2025

This work considers the Minkowski sum of an N-dimensional ellipsoid and hyperrectangle, a combination that is extremely relevant due to the usage of ellipsoid-adjacent primitives in computer graphics for work such as 3D Gaussian splatting. While para...

(This article belongs to the Section B: Geometry and Topology)
  • Article
  • Open Access
1,848 Views
19 Pages

In this paper, a joint optimization algorithm of offloading decision, energy harvesting time, and unmanned aerial vehicle (UAV) location is proposed for user equipment (UEs)’s task completion latency problem in a communication–sensing&nda...

  • Article
  • Open Access
17 Citations
3,810 Views
22 Pages

2 April 2020

The paper is devoted to the optimal state filtering of the finite-state Markov jump processes, given indirect continuous-time observations corrupted by Wiener noise. The crucial feature is that the observation noise intensity is a function of the est...

(This article belongs to the Special Issue Stability Problems for Stochastic Models: Theory and Applications)
  • Article
  • Open Access
8 Citations
6,024 Views
26 Pages

k-Center Clustering with Outliers in Sliding Windows

  • Paolo Pellizzoni,
  • Andrea Pietracaprina and
  • Geppino Pucci

31 January 2022

Metric k-center clustering is a fundamental unsupervised learning primitive. Although widely used, this primitive is heavily affected by noise in the data, so a more sensible variant seeks for the best solution that disregards a given number z of poi...

  • Article
  • Open Access
15 Citations
3,863 Views
28 Pages

16 December 2021

The effectiveness of the Wolf Pack Algorithm (WPA) in high-dimensional discrete optimization problems has been verified in previous studies; however, it usually takes too long to obtain the best solution. This paper proposes the Multi-Population Para...

(This article belongs to the Section Aerospace Science and Engineering)
  • Article
  • Open Access
51 Citations
10,706 Views
17 Pages

8 January 2023

Canny edge detection is one of the most widely used edge detection algorithms due to its superior performance. However, it is a complex, time-consuming process and has a high hardware cost. To overcome these issues, an improved Canny algorithm is pro...

(This article belongs to the Section Computing and Artificial Intelligence)
  • Feature Paper
  • Article
  • Open Access
467 Views
13 Pages

12 March 2026

Greedy algorithms are central to sparse approximation and stage-wise learning methods such as matching pursuit and boosting. It is known that the Power-Relaxed Greedy Algorithm with step sizes m−α may fail to converge when α>1 in...

(This article belongs to the Special Issue Nonlinear Approximation Theory in Banach Spaces)
  • Article
  • Open Access
3 Citations
3,350 Views
17 Pages

21 October 2024

The minimum spanning tree problem in graphs under budget-type degree constraints (DCMST) is a well-known NP-hard problem. Spanning trees do not always exist, and the optimum can not be approximated within a constant factor. Recently, solutions have b...

(This article belongs to the Section Combinatorial Optimization, Graph, and Network Algorithms)
  • Article
  • Open Access
40 Citations
4,035 Views
27 Pages

23 February 2021

A rolling bearing early fault diagnosis method is proposed in this paper, which is derived from a refined composite multi-scale approximate entropy (RCMAE) and improved coyote optimization algorithm based probabilistic neural network (ICOA-PNN) algor...

  • Article
  • Open Access
5 Citations
3,909 Views
31 Pages

Coresets for the Average Case Error for Finite Query Sets

  • Alaa Maalouf,
  • Ibrahim Jubran,
  • Murad Tukan and
  • Dan Feldman

8 October 2021

Coreset is usually a small weighted subset of an input set of items, that provably approximates their loss function for a given set of queries (models, classifiers, hypothesis). That is, the maximum (worst-case) error over all queries is bounded. To...

(This article belongs to the Special Issue Sensor Data Summarization: Theory, Applications, and Systems)
  • Article
  • Open Access
16 Citations
5,473 Views
26 Pages

10 October 2017

Sensor networks have been used in a rapidly increasing number of applications in many fields. This work generalizes a sensor deployment problem to place a minimum set of wireless sensors at candidate locations in constrained 3D space to k-cover a giv...

(This article belongs to the Special Issue Sensors and Sensing in Indoor Localization, Tracking, Navigation and Activity Monitoring)
  • Article
  • Open Access
3 Citations
1,423 Views
61 Pages

27 November 2025

Real-world constrained optimization problems often are highly nonlinear and present non-convex design spaces. Metaheuristic algorithms (MHOAs) are naturally suited to solving real-world optimization problems in view of their global optimization capab...

(This article belongs to the Section Mechanical Engineering)
  • Article
  • Open Access
4 Citations
1,639 Views
15 Pages

Algorithm for Determining the Optimal Weights for the Akushsky Core Function with an Approximate Rank

  • Egor Shiriaev,
  • Nikolay Kucherov,
  • Mikhail Babenko,
  • Vladislav Lutsenko and
  • Safwat Al-Galda

20 September 2023

In this paper, a study is carried out related to improving the reliability and fault tolerance of Fog Computing systems. This work is a continuation of previous studies. In the past, we have developed a method of fast operation for determining the si...

  • Article
  • Open Access
2 Citations
1,631 Views
15 Pages

20 February 2025

In this article, we introduce and study a generalized Cayley variational inclusion problem incorporating XOR and XNOR operations. We establish an equivalent fixed-point formulation and demonstrate the Lipschitz continuity of the generalized Cayley ap...

(This article belongs to the Special Issue Numerical Analysis and Optimization)
  • Article
  • Open Access
10 Citations
6,239 Views
10 Pages

6 January 2023

As a consequence of e-commerce development, large quantities of returned goods are shipped every day. The vehicle routing problem with simultaneous delivery and pickup (VRPSDP) has become one of the most important areas of logistics management. Most...

(This article belongs to the Special Issue Planning and Scheduling in City Logistics Optimization)
  • Feature Paper
  • Article
  • Open Access
1,473 Views
26 Pages

Quantum Heuristic Approach to Vehicle Routing Problem

  • Jun Suk Kim,
  • Donghyeon Lee and
  • Chang Wook Ahn

18 March 2026

Quantum optimization has recently drawn considerable attention as one of the possible applications of noisy intermediate-scale quantum computation, yet the problem of qubit requirement remains a major bottleneck when combinatorial optimization proble...

(This article belongs to the Special Issue Theoretical and Applied Mathematics in Supply Chain Management, 2nd Edition)
  • Article
  • Open Access
1 Citations
903 Views
21 Pages

Two Modifications of MinSum Algorithm for Efficient System-Optimal Traffic Assignment

  • Nikica Hlupić,
  • Danko Basch,
  • Edouard Ivanjko and
  • Martin Gregurić

29 September 2025

Traffic assignment in large urban areas is an old but increasingly important problem because of the rapid growth of the world population and traffic demands. Many algorithms have been developed but their convergence rates and complexities are still p...

(This article belongs to the Section Algorithms for Multidisciplinary Applications)
  • Article
  • Open Access
1 Citations
1,929 Views
15 Pages

27 April 2023

The distribution of emergency perishable materials is crucial for rescue operations in disaster-stricken areas. However, the freshness of these materials changes over time, affecting the quantity of materials that can be distributed to demand points...

  • Article
  • Open Access
21 Citations
3,924 Views
17 Pages

13 October 2020

This paper proposes an energy-efficient cluster head selection method in the wireless ad hoc network by using a hybrid quantum-classical approach. The wireless ad hoc network is divided into several clusters via cluster head selection, and the perfor...

(This article belongs to the Section Computer Science & Engineering)
  • Article
  • Open Access
7 Citations
3,324 Views
15 Pages

2 June 2023

In this paper, a new criterion for the evaluation of the theoretical efficiency of a greedy algorithm is suggested. Using this criterion, we prove some results on the rate of convergence of greedy algorithms, which provide expansions. We consider bot...

(This article belongs to the Section C1: Difference and Differential Equations)
  • Article
  • Open Access
10 Citations
8,059 Views
11 Pages

27 December 2012

The problem of finding the maximum number of vertex-disjoint uni-color paths in an edge-colored graph has been recently introduced in literature, motivated by applications in social network analysis. In this paper we investigate the approximation and...

(This article belongs to the Special Issue Graph Algorithms)
  • Article
  • Open Access
2 Citations
916 Views
38 Pages

Universal Comparison Methodology for Hough Transform Approaches

  • Danil Kazimirov,
  • Vitalii Gulevskii,
  • Alexey Kroshnin,
  • Ekaterina Rybakova and ,
  • Arseniy Terekhin,
  • Elena Limonova and
  • Dmitry Nikolaev
  • + 2 authors+ 0 author

28 March 2026

The Hough transform (HT) is widely used in computer vision, tomography, and neural networks. Numerous algorithms for HT computation have been proposed, making their systematic comparison essential. However, existing comparative methodologies are eith...

(This article belongs to the Special Issue Applications of Mathematical Models in Image Processing and Algorithm Theory)
  • Review
  • Open Access
2,734 Views
33 Pages

22 December 2025

The celebrated question of whether P=NP continues to define the boundary between the feasible and the intractable in computer science. In this paper, we revisit the problem from two complementary angles: Time-Relative Description Complexity and autom...

(This article belongs to the Special Issue AI, Machine Learning and Optimization)
  • Article
  • Open Access
1 Citations
570 Views
36 Pages

3 July 2026

We propose a family of spectral hypergraph algorithms for early detection of connectivity collapse in pharmaceutical supply chain networks. The Fiedler eigenvalue λ2 of the normalised hypergraph Laplacian serves as the order parameter. Five ge...

(This article belongs to the Special Issue Graph and Hypergraph Algorithms and Applications)
  • Article
  • Open Access
3 Citations
2,905 Views
24 Pages

3 March 2022

The paper introduces a new approach to enhance optimization algorithms when solving the piecewise linearization problem of a given function. Eight swarm intelligence algorithms were selected to be experimentally compared. The problem is represented b...

(This article belongs to the Special Issue Recent Advances in Swarm Intelligence Algorithms and Their Applications)
  • Article
  • Open Access
8 Citations
2,066 Views
20 Pages

28 November 2023

Recently, networks have faced a significant challenge in terms of security due to constant unauthorized access by hackers, resulting in the compromise of network user data. To enhance network security, there are various approaches that can be employe...

  • Article
  • Open Access
1,322 Views
27 Pages

4 January 2026

Since the publication of the first scheduling paper in 1954, a huge number of works dealing with different types of single machine problems have appeared. They addressed many heuristics and enumerative procedures, complexity results or structural pro...

(This article belongs to the Special Issue 2024 and 2025 Selected Papers from Algorithms Editorial Board Members)
  • Article
  • Open Access
303 Views
28 Pages

10 October 2026

High-precision inversion of soil moisture content using Synthetic Aperture Radar (SAR) data still faces significant technical challenges, as the radar backscatter coefficient is influenced by complex interactions among surface roughness, vegetation c...

  • Article
  • Open Access
3 Citations
1,803 Views
18 Pages

17 May 2023

In this paper, based on the viscosity approximation method and the hybrid steepest-descent iterative method, a new implicit iterative algorithm is presented for finding the common fixed points set of a finite family of nonexpansive mappings in a refl...

(This article belongs to the Special Issue Symmetry in Fixed Point Approaches and Nonlinear Functional Mathematical Equations)
  • Article
  • Open Access
16 Citations
3,751 Views
15 Pages

A Novel Module Independent Straight Line-Based Fast Maximum Power Point Tracking Algorithm for Photovoltaic Systems

  • Anjan Debnath,
  • Temitayo O. Olowu,
  • Imtiaz Parvez,
  • Md Golam Dastgir and
  • Arif Sarwat

22 June 2020

The maximum power point tracking (MPPT) algorithm has become an integral part of many charge controllers that are used in photovoltaic (PV) systems. Most of the existing algorithms have a compromise among simplicity, tracking speed, ability to track...

(This article belongs to the Special Issue Computational Intelligence for Modeling, Control, Optimization, Forecasting and Diagnostics in Photovoltaic Applications)
  • Article
  • Open Access
15 Citations
4,715 Views
19 Pages

18 November 2022

Mission planning for multiple unmanned aerial vehicles (UAVs) is a complex problem that is expected to be solved by quantum computing. With the increasing application of UAVs, the demand for efficient conflict management strategies to ensure airspace...

(This article belongs to the Special Issue Quantum Computing for Complex Dynamics)
  • Article
  • Open Access
8 Citations
2,026 Views
15 Pages

A Primal–Dual-Based Power Control Approach for Capacitated Edge Servers

  • Qinghui Zhang,
  • Weidong Li,
  • Qian Su and
  • Xuejie Zhang

6 October 2022

The intensity of radio waves decays rapidly with increasing propagation distance, and an edge server’s antenna needs more power to form a larger signal coverage area. Therefore, the power of the edge server should be controlled to reduce energy...

(This article belongs to the Section Electronic Sensors)
  • Article
  • Open Access
3 Citations
3,471 Views
16 Pages

24 September 2024

Metagenomic binning is a crucial step in metagenomic research. It can aggregate the genome sequences belonging to the same microbial species into independent bins. Most existing methods ignore the semantic information of contigs and lack effective pr...

(This article belongs to the Section Bioinformatics)
  • Article
  • Open Access
952 Views
31 Pages

Dynamic Stepsize Techniques in DR-Submodular Maximization

  • Yanfei Li,
  • Min Li,
  • Qian Liu and
  • Yang Zhou

28 April 2025

The Diminishing-Return (DR)-submodular function maximization problem has garnered significant attention across various domains in recent years. Classic methods often employ continuous greedy or Frank–Wolfe approaches to tackle this problem; how...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
793 Views
30 Pages

12 March 2026

This paper focuses on variable selection and parameter estimation for mixed-effects Poisson count regression models. To simultaneously select important variables in both fixed effects and random effects, we propose a double-penalized Poisson count re...

  • Feature Paper
  • Article
  • Open Access
3 Citations
2,439 Views
10 Pages

5 September 2019

We consider the coordination of transportation and batching scheduling with one single vehicle for minimizing total weighted completion time. The computational complexity of the problem with batch capacity of at least 2 was posed as open in the liter...

(This article belongs to the Special Issue Advances and Novel Approaches in Discrete Optimization)
  • Article
  • Open Access
4 Citations
4,345 Views
24 Pages

Designing Approximate Reduced Complexity Wallace Multipliers

  • Ioannis Rizos,
  • Georgios Papatheodorou and
  • Aristides Efthymiou

In the nano-scale era, enhancing speed while minimizing power consumption and area is a key objective in integrated circuits. This demand has motivated the development of approximate computing, particularly useful in error-tolerant applications such...

(This article belongs to the Special Issue Modern Circuits and Systems Technologies (MOCAST 2024))

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