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Mathematics, Volume 9, Issue 19

2021 October-1 - 181 articles

Cover Story: Degradation of services is very common, especially in production, manufacturing, and service industries. This is due to a variety of reasons, including the wear and tear of machinery and fatigue of operators/servers. In this paper, we study MAP/PH/1-type queueing models with degradation of services. Starting from normal service rates, degradation results in reduced service rates and then resets to normal. Two types of reset to normalcy are considered in this paper. Classical Neuts’ matrix-analytic methods are employed to analyze the model in steady state. Illustrative numerical examples are presented. View this paper
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Articles (181)

  • Article
  • Open Access
9 Citations
3,770 Views
15 Pages

8 October 2021

This study proposed different techniques to estimate the isotope composition (δ18O), salinity and temperature/potential temperature in the Mediterranean Sea using five different variables: (i–ii) geographic coordinates (Longitude, Latitude), (iii) ye...

  • Article
  • Open Access
7 Citations
2,043 Views
15 Pages

8 October 2021

By introducing the dimension splitting method (DSM) into the generalized element-free Galerkin (GEFG) method, a dimension splitting generalized interpolating element-free Galerkin (DS-GIEFG) method is presented for analyzing the numerical solutions o...

  • Article
  • Open Access
16 Citations
2,642 Views
11 Pages

8 October 2021

In this study, an investigation has been carried out to analyze the impact of electro-osmotic effects on the Darcy–Forchheimer flow of Casson nanofluid past a stretching sheet. The energy equation was modelled with the inclusion of electro-osmotic ef...

  • Article
  • Open Access
3 Citations
4,154 Views
15 Pages

Prospective Mathematics Teachers Understanding of Classical and Frequentist Probability

  • Carmen Batanero,
  • Nuria Begué,
  • Rocío Álvarez-Arroyo and
  • Silvia M. Valenzuela-Ruiz

8 October 2021

Strengthening the teaching of probability requires an adequate training of prospective teachers, which should be based on the prior assessment of their knowledge. Consequently, the aim of this study was to analyse how 139 prospective Spanish mathemat...

  • Article
  • Open Access
22 Citations
3,753 Views
16 Pages

8 October 2021

A honeycomb is a kind of excellent lightweight structure and a honeycomb sandwich plate with zero Poisson’s ratio (ZPR) core is used widely in morphing structures. In this paper, a sandwich plate composed of a honeycomb core with zero Poisson’s ratio...

  • Article
  • Open Access
1 Citations
2,793 Views
17 Pages

8 October 2021

Efficient solution of linear systems of equations is one of the central topics of numerical computation. Linear systems with complex coefficients arise from various physics and quantum chemistry problems. In this paper, we propose a novel ABS-based a...

  • Article
  • Open Access
6 Citations
2,536 Views
25 Pages

Energy Based Calculation of the Second-Order Levitation in Magnetic Fluid

  • Mislav Trbušić,
  • Marko Jesenik,
  • Mladen Trlep and
  • Anton Hamler

7 October 2021

A permanent magnet immersed in magnetic fluid experiences magnetic levitation force which is of the buoyant type. This phenomenon commonly refers to self-levitation or second-order buoyancy. The stable levitation height of the permanent magnet can be...

  • Communication
  • Open Access
15 Citations
4,540 Views
24 Pages

7 October 2021

Medical studies often involve a comparison between two outcomes, each collected from a sample. The probability associated with, and confidence in the result of the study is of most importance, since one may argue that having been wrong with a percent...

  • Article
  • Open Access
2 Citations
3,377 Views
13 Pages

7 October 2021

In fluid mechanics, the bi-Laplacian operator with Neumann homogeneous boundary conditions emerges when transforming the Navier–Stokes equations to the vorticity–velocity formulation. In the case of problems with a periodic direction, the problem can...

  • Article
  • Open Access
2 Citations
2,885 Views
36 Pages

Investigation of Drift Phenomena at the Pore Scale during Flow and Transport in Porous Media

  • Ibrahim Ayuba,
  • Lateef T. Akanji,
  • Jefferson L. Gomes and
  • Gabriel K. Falade

7 October 2021

This paper reports an analytical study conducted to investigate the behaviour of tracers undergoing creeping flow between two parallel plates in porous media. A new coupled model for the characterisation of fluid flow and transport of tracers at pore...

  • Article
  • Open Access
5 Citations
2,473 Views
16 Pages

Convergence Analysis and Dynamical Nature of an Efficient Iterative Method in Banach Spaces

  • Deepak Kumar,
  • Sunil Kumar,
  • Janak Raj Sharma and
  • Lorentz Jantschi

7 October 2021

We study the local convergence analysis of a fifth order method and its multi-step version in Banach spaces. The hypotheses used are based on the first Fréchet-derivative only. The new approach provides a computable radius of convergence, error bound...

  • Article
  • Open Access
4 Citations
3,477 Views
11 Pages

7 October 2021

Fear of the coronavirus has important implications on mental health. In western countries, a significant degree of vaccination has been achieved, but in Spain, less than 75% of the population has received both doses. The current situation is still se...

  • Article
  • Open Access
2 Citations
2,579 Views
14 Pages

7 October 2021

In this paper, the use of the construction of random processes on graphs allows us to expand the models of the theory of queuing and reliability by constructing. These problems are important because the emphasis on the legal component largely determi...

  • Article
  • Open Access
10 Citations
2,477 Views
13 Pages

7 October 2021

Numerous key components of tool machines possess critical smaller-the-better-type quality characteristics. Under the assumption of normality, a one-to-one mathematical relationship exists between the process quality index and the process yield. There...

  • Article
  • Open Access
8 Citations
3,628 Views
20 Pages

7 October 2021

The present study deals with the Darcy–Brinkman–Forchheimer model for bioconvection-stratified nanofluid flow through a porous elastic surface. The mathematical modeling for MHD nanofluid flow with motile gyrotactic microorganisms is formulated under...

  • Article
  • Open Access
1 Citations
2,916 Views
12 Pages

Stochastic Analysis of the RT-PCR Process in Single-Cell RNA-Seq

  • Aarón Vázquez-Jiménez and
  • Osbaldo Resendis-Antonio

7 October 2021

The single-cell RNA-seq allows exploring the transcriptome for one cell at a time. By doing so, cellular regulation is pictured. One limitation is the dropout events phenomenon, where a gene is observed at a low or moderate expression level in one ce...

  • Article
  • Open Access
2,665 Views
28 Pages

7 October 2021

In the last decade, the United Nations took important steps for the creation of a new instrument for biodiversity protection in areas beyond national jurisdiction. This put under discussion the central issues of international commons management and o...

  • Article
  • Open Access
5 Citations
3,254 Views
17 Pages

Experiments with Fuzzy Methods for Forecasting Time Series as Alternatives to Classical Methods

  • Bogdan Oancea,
  • Richard Pospíšil,
  • Marius Nicolae Jula and
  • Cosmin-Ionuț Imbrișcă

7 October 2021

Even though forecasting methods have advanced in the last few decades, economists still face a simple question: which prediction method gives the most accurate results? Econometric forecasting methods can deal with different types of time series and...

  • Article
  • Open Access
4 Citations
2,309 Views
12 Pages

7 October 2021

In this study, a new three-statement randomized response estimation method is proposed to improve the drawback that the maximum likelihood estimation method could generate a negative value to estimate the sensitive-nature proportion (SNP) when its tr...

  • Article
  • Open Access
2,816 Views
15 Pages

7 October 2021

A parametric theoretical boundary equation of a period-3 hyperbolic component in the Mandelbrot set is established from a perspective of Euclidean plane geometry. We not only calculate the interior area, perimeter and curvature of the boundary line b...

  • Article
  • Open Access
6 Citations
2,993 Views
30 Pages

7 October 2021

In this article, we consider the coexistence of competing actors within a specific eco-industrial park. The competing firms dynamics evolves by means of an interplay agreement determined among the competitors themselves. In particular, we show a poss...

  • Article
  • Open Access
2,930 Views
14 Pages

Automatically Tightening Tiny Screw Using Two Images and Positioning Control

  • Shou-Yu Chen,
  • Jeng-Rong Ho,
  • Pi-Cheng Tung and
  • Chih-Kuang Lin

7 October 2021

This paper describes how to tighten M1.4 screws by controlling a manipulator. The whole process is based on a human–machine interface designed using Visual Studio C++ to run image processing algorithms and control the position of a manipulator. Two c...

  • Article
  • Open Access
13 Citations
2,453 Views
15 Pages

Optimized Task Group Aggregation-Based Overflow Handling on Fog Computing Environment Using Neural Computing

  • Harwant Singh Arri,
  • Ramandeep Singh,
  • Sudan Jha,
  • Deepak Prashar,
  • Gyanendra Prasad Joshi and
  • Ill Chul Doo

7 October 2021

It is a non-deterministic challenge on a fog computing network to schedule resources or jobs in a manner that increases device efficacy and throughput, diminishes reply period, and maintains the system well-adjusted. Using Machine Learning as a compo...

  • Article
  • Open Access
25 Citations
4,738 Views
29 Pages

Gender Classification Using Proposed CNN-Based Model and Ant Colony Optimization

  • Farhat Abbas,
  • Mussarat Yasmin,
  • Muhammad Fayyaz,
  • Mohamed Abd Elaziz,
  • Songfeng Lu and
  • Ahmed A. Abd El-Latif

6 October 2021

Pedestrian gender classification is one of the key assignments of pedestrian study, and it finds practical applications in content-based image retrieval, population statistics, human–computer interaction, health care, multimedia retrieval systems, de...

  • Article
  • Open Access
7 Citations
4,823 Views
19 Pages

Solving a University Course Timetabling Problem Based on AACSB Policies

  • Nancy M. Arratia-Martinez,
  • Paulina A. Avila-Torres and
  • Juana C. Trujillo-Reyes

6 October 2021

The purpose of this research is to solve the university course timetabling problem (UCTP) that consists of designing a schedule of the courses to be offered in one academic period based on students’ demand, faculty composition and institutional const...

  • Article
  • Open Access
14 Citations
2,552 Views
23 Pages

On the Calculation of the Moore–Penrose and Drazin Inverses: Application to Fractional Calculus

  • Khosro Sayevand,
  • Ahmad Pourdarvish,
  • José A. Tenreiro Machado and
  • Raziye Erfanifar

6 October 2021

This paper presents a third order iterative method for obtaining the Moore–Penrose and Drazin inverses with a computational cost of O(n3), where nN. The performance of the new approach is compared with other methods discussed in the literature. The...

  • Article
  • Open Access
1 Citations
3,033 Views
18 Pages

6 October 2021

Definitions are extremely important for efficient learning of new materials. In particular, mathematical definitions are necessary for understanding mathematics-related areas. Automated extraction of definitions could be very useful for automated ind...

  • Article
  • Open Access
5 Citations
3,000 Views
14 Pages

Brownian Behavior in Coupled Chaotic Oscillators

  • Francisco Javier Martín-Pasquín and
  • Alexander N. Pisarchik

6 October 2021

Since the dynamical behavior of chaotic and stochastic systems is very similar, it is sometimes difficult to determine the nature of the movement. One of the best-studied stochastic processes is Brownian motion, a random walk that accurately describe...

  • Article
  • Open Access
19 Citations
2,968 Views
18 Pages

μ-Synthesis FO-PID for Twin Rotor Aerodynamic System

  • Vlad Mihaly,
  • Mircea Şuşcă and
  • Eva H. Dulf

6 October 2021

μ-synthesis is a NP-hard optimization problem based on the generalized Robust Control framework which manages to find a controller which fulfills both robust stability and robust performance. In order to solve such problems, nonsmooth optimization te...

  • Article
  • Open Access
4 Citations
2,812 Views
15 Pages

Pointwise k-Pseudo Metric Space

  • Yu Zhong,
  • Alexander Šostak and
  • Fu-Gui Shi

6 October 2021

In this paper, the concept of a k-(quasi) pseudo metric is generalized to the L-fuzzy case, called a pointwise k-(quasi) pseudo metric, which is considered to be a map d:J(LX)×J(LX)[0,) satisfying some conditions. What is more, it is proved that th...

  • Article
  • Open Access
3 Citations
2,356 Views
12 Pages

Weak and Strong Convergence Theorems for Common Attractive Points of Widely More Generalized Hybrid Mappings in Hilbert Spaces

  • Panadda Thongpaen,
  • Attapol Kaewkhao,
  • Narawadee Phudolsitthiphat,
  • Suthep Suantai and
  • Warunun Inthakon

5 October 2021

In this work, we study iterative methods for the approximation of common attractive points of two widely more generalized hybrid mappings in Hilbert spaces and obtain weak and strong convergence theorems without assuming the closedness for the domain...

  • Article
  • Open Access
1 Citations
3,441 Views
26 Pages

5 October 2021

Over the last several decades, the scheduling of linear construction projects (LCPs) has been explored extensively by experts. The linear scheduling method (LSM), which focuses on work rate and work continuity, has the advantage of tackling LCPs’ sch...

  • Article
  • Open Access
6 Citations
8,104 Views
21 Pages

5 October 2021

This study analyses probability tasks proposed by primary education teachers to promote probabilistic literacy. To this end, eight class sessions at various levels of the Chilean educational system were recorded on video and analysed through the ”pro...

  • Article
  • Open Access
10 Citations
4,217 Views
19 Pages

5 October 2021

Object detection and recognition are crucial in the field of computer vision and are an active area of research. However, in actual object recognition processes, recognition accuracy is often degraded due to resolution mismatches between training and...

  • Article
  • Open Access
13 Citations
4,743 Views
14 Pages

5 October 2021

We consider the Koopman operator theory in the context of nonlinear infinite-dimensional systems, where the operator is defined over a space of bounded continuous functionals. The properties of the Koopman semigroup are described and a finite-dimensi...

  • Article
  • Open Access
9 Citations
6,372 Views
22 Pages

5 October 2021

In this research, we explored the potential of using a research-based teaching and learning sequence to promote pupils’ engagement in practices that are coherent with those of real world mathematical and scientific activity. This STEM (Science, Techn...

  • Article
  • Open Access
7 Citations
3,822 Views
17 Pages

5 October 2021

Linearly combining multiple biomarkers is a common practice that can provide a better diagnostic performance. When the number of biomarkers is sufficiently high, a computational burden problem arises. Liu et al. proposed a distribution-free approach...

  • Article
  • Open Access
2 Citations
2,706 Views
16 Pages

5 October 2021

In this work, the creation of a dataset labeled in a pixel-wise manner for the uncommon domain of stain detection on patterned laundry is described. The unique properties of images in this dataset—stains are small and sometimes occur in large amounts...

  • Article
  • Open Access
10 Citations
4,570 Views
26 Pages

4 October 2021

The use of data-based models is a favorable way to optimize existing industrial processes. Estimation of these models requires data with sufficient information content. However, data from regular process operation are typically limited to single oper...

  • Article
  • Open Access
7 Citations
1,966 Views
12 Pages

4 October 2021

By considering the new forms of the notions of lower semicontinuity, pseudomonotonicity, hemicontinuity and monotonicity of the considered scalar multiple integral functional, in this paper we study the well-posedness of a new class of variational pr...

  • Article
  • Open Access
2 Citations
5,109 Views
24 Pages

Dynamic Programming Algorithms for Computing Optimal Knockout Tournaments

  • Amelia Bădică,
  • Costin Bădică,
  • Ion Buligiu,
  • Liviu Ion Ciora and
  • Doina Logofătu

4 October 2021

We study competitions structured as hierarchically shaped single-elimination tournaments. We define optimal tournaments by maximizing attractiveness such that the topmost players will have the chance to meet in higher stages of the tournament. We pro...

  • Article
  • Open Access
5 Citations
2,532 Views
18 Pages

4 October 2021

An expectation–maximization (EM) likelihood estimation procedure is proposed to obtain the maximum likelihood estimates of the parameters in a mixture distributions model based on type-I hybrid censored samples when the mixture proportions are unknow...

  • Article
  • Open Access
5 Citations
3,130 Views
14 Pages

4 October 2021

A nonlinear approach to identifying combinations of CpGs DNA methylation data, as biomarkers for Alzheimer (AD) disease, is presented in this paper. It will be shown that the presented algorithm can substantially reduce the amount of CpGs used while...

  • Article
  • Open Access
5 Citations
3,238 Views
31 Pages

4 October 2021

This study analyzes the spillover effects of volatility in the Russian stock market. The paper applies the Diebold–Yilmaz connectedness methodology to characterize volatility spillovers between Russian assets. The spectral representation of the forec...

  • Article
  • Open Access
9 Citations
3,209 Views
13 Pages

4 October 2021

This paper investigates whether a specific type of a recurrent neural network, in particular Jordan neural network (JNN), captures the expected inflation better than commonly used feedforward neural networks and traditional parametric time-series mod...

  • Article
  • Open Access
1 Citations
2,056 Views
24 Pages

4 October 2021

In this paper, the interior elastic direct and inverse scattering problem of time-harmonic waves for a non-penetrable partially coated obstacle placed in a homogeneous and isotropic medium is studied. The scattering problem is formulated via the Navi...

  • Article
  • Open Access
5 Citations
2,084 Views
22 Pages

4 October 2021

The research and application of new wall materials have been attracting increasing attention owing to the continuous promotion of sustainable development in the building industry. An alkali-activated slag ceramsite compound insulation block (AASCCIB)...

  • Article
  • Open Access
8 Citations
3,058 Views
20 Pages

A Vine Copula-Based Global Sensitivity Analysis Method for Structures with Multidimensional Dependent Variables

  • Zhiwei Bai,
  • Hongkui Wei,
  • Yingying Xiao,
  • Shufang Song and
  • Sergei Kucherenko

4 October 2021

For multidimensional dependent cases with incomplete probability information of random variables, global sensitivity analysis (GSA) theory is not yet mature. The joint probability density function (PDF) of multidimensional variables is usually unknow...

  • Article
  • Open Access
7 Citations
1,560 Views
12 Pages

4 October 2021

The notion of strong differential subordination was introduced in 1994 and the theory related to it was developed in 2009. The dual notion of strong differential superordination was also introduced in 2009. In a paper published in 2012, the notion of...

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Mathematics - ISSN 2227-7390