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Mathematics, Volume 10, Issue 19

2022 October-1 - 308 articles

Cover Story: Bulk-service queueing systems have been widely applied in many areas in real life. Compared to well-developed single-server queueing systems, multi-server queueing systems are more complex and harder to deal with, especially when the inter-arrival time distributions are arbitrary. This paper deals with analytic and computational analysis of queue-length distributions for a complex bulk-service, multi-server queueing system GI/Ma,b/c, wherein inter-arrival times follow an arbitrary distribution, a is the quorum, b is the capacity of each server, and c is the number of servers; service times follow exponential distributions. The introduction of quorum increases the complexity of the model. In view of this, a two-dimensional Markov chain has to be involved. Currently, it appears that this system has not been addressed. View this paper
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Articles (308)

  • Article
  • Open Access
4 Citations
2,796 Views
20 Pages

10 October 2022

Quasi-Monte Carlo (QMC) methods have been successfully used for the estimation of numerical integrations arising in many applications. In most QMC methods, low-discrepancy sequences have been used, such as digital nets and lattice rules. In this pape...

(This article belongs to the Special Issue Distribution Theory and Application)
  • Article
  • Open Access
2 Citations
2,680 Views
25 Pages

2D Newton Schwarz Legendre Collocation Method for a Convection Problem

  • Darío Martínez,
  • Henar Herrero and
  • Francisco Pla

10 October 2022

In this work, an alternate Schwarz domain decomposition method is proposed to solve a Rayleigh–Bénard problem. The problem is modeled with the incompressible Navier–Stokes equations coupled with a heat equation in a rectangular dom...

  • Article
  • Open Access
2 Citations
3,039 Views
18 Pages

10 October 2022

Adversarial examples easily mislead vision systems based on deep neural networks (DNNs) trained with softmax cross entropy (SCE) loss. The vulnerability of DNN comes from the fact that SCE drives DNNs to fit on the training examples, whereas the resu...

(This article belongs to the Special Issue Advanced Deep Learning and Mathematical Modeling for Reliability, Security and Privacy Problems in Engineering)
  • Article
  • Open Access
19 Citations
9,242 Views
21 Pages

RanKer: An AI-Based Employee-Performance Classification Scheme to Rank and Identify Low Performers

  • Keyur Patel,
  • Karan Sheth,
  • Dev Mehta,
  • Sudeep Tanwar,
  • Bogdan Cristian Florea,
  • Dragos Daniel Taralunga,
  • Ahmed Altameem,
  • Torki Altameem and
  • Ravi Sharma

10 October 2022

An organization’s success depends on its employees, and an employee’s performance decides whether the organization is successful. Employee performance enhances the productivity and output of organizations, i.e., the performance of an empl...

(This article belongs to the Special Issue Application of Advanced Computing and Artificial Intelligence in Engineering and Science)
  • Article
  • Open Access
1 Citations
2,172 Views
25 Pages

10 October 2022

The large arcsine exponential dispersion model (LAEDM) is a class of three-parameter distributions on the non-negative integers. These distributions show the specific characteristics of being leptokurtic, zero-inflated, overdispersed, and skewed to t...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
3 Citations
2,632 Views
27 Pages

Potentially Related Commodity Discovery Based on Link Prediction

  • Xiaoji Wan,
  • Fen Chen,
  • Hailin Li and
  • Weibin Lin

10 October 2022

The traditional method of related commodity discovery mainly focuses on direct co-occurrence association of commodities and ignores their indirect connection. Link prediction can estimate the likelihood of links between nodes and predict the existent...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
5 Citations
2,537 Views
16 Pages

Analysis and Performance Evaluation of a Novel Adjustable Speed Drive with a Homopolar-Type Rotor

  • Songlin Guo,
  • Zhengkang Yi,
  • Pan Liu,
  • Guoshuai Wang,
  • Houchuan Lai,
  • Kexun Yu and
  • Xianfei Xie

10 October 2022

The use of a magnetic adjustable speed drive is a popular choice in industrial settings due to its efficient operation, vibration isolation, low maintenance, and overload protection. Most conventional magnetic adjustable speed drives use various form...

(This article belongs to the Special Issue Modeling and Simulation in Engineering, 2nd Edition)
  • Article
  • Open Access
5 Citations
2,425 Views
15 Pages

10 October 2022

The traditional radial basis function collocation method (RBFCM) has poor stability when solving two-dimensional elastic problems, and the numerical results are very sensitive to shape parameters, especially in solving elastic problems. In this paper...

(This article belongs to the Special Issue Recent Advances in Numerical Methods for Scientific and Engineering Applications)
  • Article
  • Open Access
5 Citations
2,902 Views
32 Pages

10 October 2022

The stability of an open-pit slope is an extremely important factor related to the safe production of an open-pit mine. It is the first safety technical problem encountered and should be solved in the process of mine design and production. By the mea...

(This article belongs to the Special Issue Mathematical Modeling and Numerical Simulation in Engineering)
  • Article
  • Open Access
1,831 Views
15 Pages

Entropy-Randomized Clustering

  • Yuri S. Popkov,
  • Yuri A. Dubnov and
  • Alexey Yu. Popkov

10 October 2022

This paper proposes a clustering method based on a randomized representation of an ensemble of possible clusters with a probability distribution. The concept of a cluster indicator is introduced as the average distance between the objects included in...

(This article belongs to the Special Issue Mathematical Modeling, Optimization and Machine Learning)
  • Article
  • Open Access
41 Citations
4,582 Views
26 Pages

Sizing and Design of a PV-Wind-Fuel Cell Storage System Integrated into a Grid Considering the Uncertainty of Load Demand Using the Marine Predators Algorithm

  • Fayza S. Mahmoud,
  • Ashraf M. Abdelhamid,
  • Ameena Al Sumaiti,
  • Abou-Hashema M. El-Sayed and
  • Ahmed A. Zaki Diab

10 October 2022

In this paper, the utility grid is integrated with hybrid photovoltaic (PV)/wind/fuel cells to overcome the unavailability of the grid and the single implementation of renewable energy. The main purpose of this study is smart management of hydrogen s...

(This article belongs to the Special Issue Advanced Mathematical Approaches to Engineering and Computational Problems)
  • Article
  • Open Access
3 Citations
3,415 Views
18 Pages

Research on the Mathematical Model for Optimal Allocation of Human Resources in the Operation and Maintenance Units of a Heavy Haul Railway

  • Linfang Shen,
  • Kuoyu Liu,
  • Jinfei Chai,
  • Weibin Ma,
  • Xiaoxiong Guo,
  • Yao Li,
  • Peng Zhao and
  • Boying Liu

10 October 2022

According to the existing personnel structure, quantity, development strategy, and market demand of the Shuohuang Railway Company’s operation and maintenance project, the demand quantity of various employees of the company for the past three ye...

(This article belongs to the Special Issue Mathematical Modeling and Numerical Simulation in Engineering)
  • Article
  • Open Access
1 Citations
1,953 Views
12 Pages

10 October 2022

A set D⊆V(G) is called a dominating set if N[v]∩D≠∅ for every vertex v in graph G. The domination number γ(G) is the minimum cardinality of a dominating set of G. The proximity π(v) of a vertex v is the average distance fro...

(This article belongs to the Special Issue Research and Applications of Discrete Mathematics)
  • Article
  • Open Access
3 Citations
2,627 Views
19 Pages

10 October 2022

When a blasting is executed near two tunnels, the blasting wave will trigger a dynamic response and damage to the tunnels. Depending on the tunnel distribution, the path of the blasting wave to the remote non-adjacent tunnels will change. The aim of...

(This article belongs to the Special Issue Mathematical Problems in Rock Mechanics and Rock Engineering)
  • Article
  • Open Access
11 Citations
2,006 Views
21 Pages

10 October 2022

The present paper deals with two of the most significant behaviors in the theory of dynamical systems: the uniform exponential dichotomy and the uniform polynomial dichotomy for evolution operators in Banach spaces. Assuming that the evolution operat...

(This article belongs to the Special Issue Recent Investigations of Differential and Fractional Equations and Inclusions II)
  • Article
  • Open Access
2 Citations
2,594 Views
23 Pages

10 October 2022

Orthogonal matching pursuit (OMP for short) is a classical method for sparse signal recovery in compressed sensing. In this paper, we consider the application of OMP to reconstruct sparse polynomials generated by uniformly bounded orthonormal systems...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
3 Citations
2,686 Views
13 Pages

An MM Algorithm for the Frailty-Based Illness Death Model with Semi-Competing Risks Data

  • Xifen Huang,
  • Jinfeng Xu,
  • Hao Guo,
  • Jianhua Shi and
  • Wenjie Zhao

10 October 2022

For analyzing multiple events data, the illness death model is often used to investigate the covariate–response association for its easy and direct interpretation as well as the flexibility to accommodate the within-subject dependence. The resu...

(This article belongs to the Special Issue Recent Advances in Computational Statistics)
  • Article
  • Open Access
2,656 Views
14 Pages

10 October 2022

We axiomatize strictly positive fragments of modal logics with the confluence axiom. We consider unimodal logics such as K.2, D.2, D4.2 and S4.2 with unimodal confluence ⋄□p→□⋄p as well as the products of modal logics in...

(This article belongs to the Special Issue Combinatorial Algebra, Computation, and Logic)
  • Article
  • Open Access
4 Citations
4,189 Views
16 Pages

9 October 2022

As a major branch of Non-Photorealistic Rendering (NPR), image stylization mainly uses computer algorithms to render a photo into an artistic painting. Recent work has shown that the ex-traction of style information such as stroke texture and color o...

(This article belongs to the Special Issue Advances in Computer Vision and Machine Learning)
  • Article
  • Open Access
15 Citations
2,945 Views
13 Pages

Bipartite Synchronization of Fractional-Order Memristor-Based Coupled Delayed Neural Networks with Pinning Control

  • P. Babu Dhivakaran,
  • A. Vinodkumar,
  • S. Vijay,
  • S. Lakshmanan,
  • J. Alzabut,
  • R. A. El-Nabulsi and
  • W. Anukool

9 October 2022

This paper investigates the bipartite synchronization of memristor-based fractional-order coupled delayed neural networks with structurally balanced and unbalanced concepts. The main result is established for the proposed model using pinning control,...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
6 Citations
3,326 Views
33 Pages

9 October 2022

This paper addresses the issue of optimal redundancy allocation in hybrid structure large binary systems. Two aspects of optimization are considered: (1) maximizing the reliability of the system under the cost constraint, and (2) obtaining the necess...

(This article belongs to the Special Issue Advances in Artificial Intelligence: Models, Optimization, and Machine Learning, 2nd Edition)
  • Article
  • Open Access
5 Citations
3,876 Views
14 Pages

9 October 2022

Three-dimensional (3D) lane detection is widely used in image understanding, image analysis, 3D scene reconstruction, and autonomous driving. Recently, various methods for 3D lane detection from single two-dimensional (2D) images have been proposed t...

(This article belongs to the Special Issue Mathematics and Computer Programming in 2D and 3D Open Source Software)
  • Article
  • Open Access
22 Citations
3,855 Views
19 Pages

Machine-Learning-Based Improved Smith Predictive Control for MIMO Processes

  • Xinlan Guo,
  • Mohammadamin Shirkhani and
  • Emad M. Ahmed

9 October 2022

Controlling time-delayed processes is one of the challenges in today’s process industries. If the multi-input/multi-output system is dynamically coupled, the delay problem becomes more critical. In this paper, a new method based on Smith’...

  • Review
  • Open Access
22 Citations
8,460 Views
24 Pages

9 October 2022

Increasingly amounts of biological data promote the development of various penalized regression models. This review discusses the recent advances in both linear and logistic regression models with penalization terms. This review is mainly focused on...

(This article belongs to the Section E3: Mathematical Biology)
  • Article
  • Open Access
8 Citations
4,563 Views
17 Pages

9 October 2022

Accurate forecasting of taxi demand has facilitated the rational allocation of urban public transport resources, reduced congestion in urban transport networks, and shortened passenger waiting time. However, virtual station discovery and modelling of...

(This article belongs to the Special Issue Theoretical and Computational Research in Various Scheduling Models, 2nd Edition)
  • Article
  • Open Access
13 Citations
3,342 Views
18 Pages

9 October 2022

With the rapid development of the city, more and more people are choosing the subway as their travel mode. However, the hidden dangers of the subway are becoming increasingly prominent, and emergency evacuation of the subway has become a key factor f...

(This article belongs to the Special Issue Application of Advanced Computing and Artificial Intelligence in Engineering and Science)
  • Article
  • Open Access
16 Citations
2,922 Views
15 Pages

9 October 2022

A new one-step hybrid block method with two-point third derivatives is developed to solve the second-order boundary value problems (BVPs). The mathematical derivation of the proposed method is based on the interpolation and collocation methods. The t...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
21 Citations
5,012 Views
18 Pages

9 October 2022

Efficiency mapping has an important place in examining the maximum efficiency distribution as well as the energy consumption of designed electric motors at maximum torque and speed. Performing analysis at all operating points with FEM analysis in the...

(This article belongs to the Special Issue Mathematical Approaches to Modeling, Optimally Designing, and Controlling Electric Machine and Power Converters)
  • Article
  • Open Access
11 Citations
3,278 Views
17 Pages

Signal Identification of Wire Breaking in Bridge Cables Based on Machine Learning

  • Guangming Li,
  • Heming Ding,
  • Yaohan Li,
  • Chun-Yin Li and
  • Chi-Chung Lee

9 October 2022

With the booming development of bridge construction, bridge operation and maintenance have always been major issues to ensure the safety of the community. Affected by the long-term service of bridges and natural factors, the safety and durability of...

(This article belongs to the Special Issue Mathematical Methods for Pattern Recognition)
  • Article
  • Open Access
5 Citations
2,752 Views
22 Pages

9 October 2022

In the paper, we transform the general Sturm–Liouville problem (SLP) into two canonical forms: one with the homogeneous Dirichlet boundary conditions and another with the homogeneous Neumann boundary conditions. A boundary shape function method...

(This article belongs to the Special Issue Computational Methods in Nonlinear Analysis and Their Applications)
  • Article
  • Open Access
6 Citations
2,395 Views
9 Pages

Energy Efficiency of a New Parallel PIC Code for Numerical Simulation of Plasma Dynamics in Open Trap

  • Igor Chernykh,
  • Igor Kulikov,
  • Vitaly Vshivkov,
  • Ekaterina Genrikh,
  • Dmitry Weins,
  • Galina Dudnikova,
  • Ivan Chernoshtanov and
  • Marina Boronina

8 October 2022

The generation of energy-efficient parallel scientific codes became very important in the time of carbon footprint reduction. In this paper, we briefly present our latest particle-in-cell code with the results of a numerical simulation of plasma dyna...

(This article belongs to the Special Issue Parallel Computing and Applications)
  • Article
  • Open Access
33 Citations
6,117 Views
16 Pages

Development of a Model for Spoofing Attacks in Internet of Things

  • Faheem Khan,
  • Abdullah A. Al-Atawi,
  • Abdullah Alomari,
  • Amjad Alsirhani,
  • Mohammed Mujib Alshahrani,
  • Jawad Khan and
  • Youngmoon Lee

8 October 2022

Internet of Things (IoT) allows the integration of the physical world with network devices for proper privacy and security in a healthcare system. IoT in a healthcare system is vulnerable to spoofing attacks that can easily represent themselves as a...

  • Article
  • Open Access
5 Citations
2,765 Views
15 Pages

8 October 2022

Automatic vessel structure segmentation is essential for an automatic disease diagnosis system. The task is challenging due to vessels’ different shapes and sizes across populations. This paper proposes a multiscale network with dual attention...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
1 Citations
2,698 Views
18 Pages

8 October 2022

With the rapid development of cloud computing and mobile networks, more and more application scenarios require a secret group key for secure communication. Group Key Exchange (GKE) protocol provides a secret group key for three or more members. Burme...

(This article belongs to the Special Issue New Advances in Coding Theory and Cryptography)
  • Feature Paper
  • Article
  • Open Access
1 Citations
1,854 Views
12 Pages

8 October 2022

We consider the second-order impulsive differential equation with impulses in derivative and without the damping term. Sufficient conditions that a nontrivial solution of the homogeneous equation having a zero of its derivative does not have a zero i...

(This article belongs to the Special Issue Functional Differential Equations: Theory and Applications–Dedicated to the Memory of Nikolay V. Azbelev on the Occasion of His 100th Birthday Anniversary)
  • Article
  • Open Access
22 Citations
2,358 Views
14 Pages

Fixed-Time Output-Constrained Synchronization of Unknown Chaotic Financial Systems Using Neural Learning

  • Qijia Yao,
  • Hadi Jahanshahi,
  • Larissa M. Batrancea,
  • Naif D. Alotaibi and
  • Mircea-Iosif Rus

8 October 2022

This article addresses the challenging problem of fixed-time output-constrained synchronization for master–slave chaotic financial systems with unknown parameters and perturbations. A fixed-time neural adaptive control approach is originally pr...

(This article belongs to the Section E5: Financial Mathematics)
  • Article
  • Open Access
5 Citations
1,945 Views
24 Pages

A New Approach in Heat Transfer Analysis: Reduced-Scale Straight Bars with Massive and Square-Tubular Cross-Sections

  • Gábor Turzó,
  • Ildikó-Renáta Száva,
  • Sándor Dancsó,
  • Ioan Száva,
  • Sorin Vlase,
  • Violeta Munteanu,
  • Teofil Gălățanu and
  • Zsolt Asztalos

8 October 2022

This paper reports experimental and theoretical result derived from research on steel structural elements’ fire-protection with intumescent paint. The experimental results were obtained by means of an original testing bench, briefly described below a...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
4 Citations
1,913 Views
10 Pages

8 October 2022

Steady-state solutions of two mixed initial-boundary value problems are presented in equivalent forms. They describe isothermal permanent motions of incompressible Burgers’ fluids over an infinite flat plate that applies time-dependent shear st...

(This article belongs to the Special Issue Computational Fluid Dynamics II)
  • Article
  • Open Access
2,476 Views
19 Pages

8 October 2022

Convolutional neural networks (CNNs) offer significant advantages when used in various image classification tasks and computer vision applications. CNNs are increasingly deployed in environments from edge and Internet of Things (IoT) devices to high-...

(This article belongs to the Special Issue From Edge Devices to Cloud Computing and Datacenters: Emerging Machine Learning Applications, Algorithms, and Optimizations)
  • Article
  • Open Access
33 Citations
5,268 Views
18 Pages

A Weld Surface Defect Recognition Method Based on Improved MobileNetV2 Algorithm

  • Kai Ding,
  • Zhangqi Niu,
  • Jizhuang Hui,
  • Xueliang Zhou and
  • Felix T. S. Chan

8 October 2022

Traditional welding quality inspection methods for pipelines and pressure vessels are time-consuming, labor-intensive, and suffer from false and missed inspection problems. With the development of smart manufacturing, there is a need for fast and acc...

(This article belongs to the Special Issue Optimisation Algorithms and Their Applications)
  • Article
  • Open Access
12 Citations
2,677 Views
24 Pages

Modeling Air Pollution Using Partially Varying Coefficient Models with Heavy Tails

  • Nicole Jeldes,
  • Germán Ibacache-Pulgar,
  • Carolina Marchant and
  • Javier Linkolk López-Gonzales

8 October 2022

The increase in air pollution levels in recent decades around the world has caused a negative impact on human health. A recent investigation by the World Health Organization indicates that nine out of ten people on the planet breathe air containing h...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
10 Citations
5,183 Views
13 Pages

Speeding-Up Elliptic Curve Cryptography Algorithms

  • Diana Maimuţ and
  • Alexandru Cristian Matei

7 October 2022

In recent decades there has been an increasing interest in Elliptic curve cryptography (ECC) and, especially, the Elliptic Curve Digital Signature Algorithm (ECDSA) in practice. The rather recent developments of emergent technologies, such as blockch...

(This article belongs to the Special Issue Computational Aspects of Quadratic and High-Order Residues with Applications in Cryptography)
  • Article
  • Open Access
15 Citations
1,832 Views
18 Pages

Improved Hille-Type Oscillation Criteria for Second-Order Quasilinear Dynamic Equations

  • Taher S. Hassan,
  • Clemente Cesarano,
  • Rami Ahmad El-Nabulsi and
  • Waranont Anukool

7 October 2022

In this work, we develop enhanced Hille-type oscillation conditions for arbitrary-time, second-order quasilinear functional dynamic equations. These findings extend and improve previous research that has been published in the literature. Some example...

(This article belongs to the Special Issue Mathematical Modeling and Simulation of Oscillatory Phenomena)
  • Article
  • Open Access
4 Citations
3,244 Views
19 Pages

7 October 2022

Accurate estimation of an object’s 6D pose is one of the crucial technologies for robotic manipulators. Especially when the lighting conditions changes or the object is occluded, resulting in the missing or the interference of the object inform...

(This article belongs to the Special Issue Advances in Computer Vision and Machine Learning)
  • Article
  • Open Access
2 Citations
2,378 Views
15 Pages

A Fixed Point Approach to Lattice Fuzzy Set via F-Contraction

  • Shazia Kanwal,
  • Akbar Azam,
  • Muhammad Gulzar and
  • Gustavo Santos-García

7 October 2022

In this work, we design and demonstrate the occurrence of L-fuzzy common fixed points of L-fuzzy mappings (L-FM) meeting contractive criteria in the framework of complete b-metric spaces (b-MS) employing F-contractions and a certain class of continuo...

(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
  • Article
  • Open Access
11 Citations
3,207 Views
15 Pages

Fluid–Structure Interaction Modeling of Structural Loads and Fatigue Life Analysis of Tidal Stream Turbine

  • Yuquan Zhang,
  • Zhiqiang Liu,
  • Chengyi Li,
  • Xuemei Wang,
  • Yuan Zheng,
  • Zhi Zhang,
  • Emmanuel Fernandez-Rodriguez and
  • Rabea Jamil Mahfoud

7 October 2022

Developing reliable tidal-energy turbines of a large size and capacity links to preservation of the structural safety and stability of the blades. In this study, a bidirectional fluid–structure coupling method was applied to analyze the hydrody...

(This article belongs to the Special Issue Numerical Simulation and Computational Methods in Engineering and Sciences)
  • Article
  • Open Access
9 Citations
6,705 Views
25 Pages

7 October 2022

Cryptocurrencies are a new field of investment opportunities that has experienced a significant growth in the last decade. The crypto market was capitalized at more than USD 3000 bn, having grown from USD 10 m over the period 2011–2021. Generat...

(This article belongs to the Special Issue Advances in Blockchain Technology)
  • Article
  • Open Access
7 Citations
7,641 Views
17 Pages

Modified Whiteside’s Line-Based Transepicondylar Axis for Imageless Total Knee Arthroplasty

  • Muhammad Sohail,
  • Jaehyun Park,
  • Jun Young Kim,
  • Heung Soo Kim and
  • Jaehun Lee

7 October 2022

One of the aims of successful total knee arthroplasty (TKA) is to restore the natural range of motion of the infected joint. The operated leg motion highly depends on the coordinate systems that have been used to prepare the bone surfaces for an impl...

(This article belongs to the Special Issue Numerical Simulation in Biomechanics and Biomedical Engineering-II)
  • Article
  • Open Access
15 Citations
3,916 Views
19 Pages

6 October 2022

This study uses bibliometric analysis to examine the scientific evolution of particle swarm optimization (PSO) for the vehicle routing problem (VRP) over the past 20 years. Analyses were conducted to discover and characterize emerging trends in the r...

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Mathematics - ISSN 2227-7390