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Mathematics, Volume 9, Issue 19

October-1 2021 - 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
5 Citations
2,405 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
3,394 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
2,501 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
2,385 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
3,493 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
2,816 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
2,562 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
3,151 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
2,223 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
2,640 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...

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Mathematics - ISSN 2227-7390