Use of Mathematical Techniques for Determining the Reliability of Springs

In this article, a Susceptible – Vaccinated – Infected – Recovered (SVIR) model is formulated and analysed using comprehensive mathematical techniques. The vaccination class is primarily considered as means of controlling the disease spread. The basic reproduction number (Ro) of the model is obtained, where it was shown that if Ro<1, at the model equilibrium solutions when infection is present and absent, the infection- free equilibrium is both locally and globally asymptotically stable. Also, if Ro>1, the endemic equilibrium solution is locally asymptotically stable. Furthermore, the analytical solution of the model was carried out using the Differential Transform Method (DTM) and Runge - Kutta fourth-order method. Numerical simulations were carried out to validate the theoretical results.

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Mathematical Techniques in Crystallography and Materials Science

10.1007/978-3-642-97576-9 ◽

1994 ◽

Cited By ~ 13

Author(s):

Edward Prince

Keyword(s):

Materials Science ◽

Mathematical Techniques

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VLSI Implementation of High Speed-Low Power-Area Efficient Multiplier Using Modified Vedic Mathematical Techniques

Recent Patents on Computer Science ◽

10.2174/2213275908666150220203501 ◽

2017 ◽

Vol 9 (3) ◽

pp. 216-221

Author(s):

Abdul Kareem ◽

Vardhana M. ◽

Praveen Kumar

Keyword(s):

Low Power ◽

High Speed ◽

Vlsi Implementation ◽

Mathematical Techniques ◽

Area Efficient

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Sustainability in Construction Projects: A Systematic Literature Review

Sustainability ◽

10.3390/su13041932 ◽

2021 ◽

Vol 13 (4) ◽

pp. 1932 ◽

Cited By ~ 1

Author(s):

Reza Kiani Mavi ◽

Denise Gengatharen ◽

Neda Kiani Mavi ◽

Richard Hughes ◽

Alistair Campbell ◽

...

Keyword(s):

Project Management ◽

Structural Equation ◽

Construction Projects ◽

Feasibility Studies ◽

Integrated Approach ◽

Sustainable Construction ◽

Fuzzy Decision Making ◽

Eigenvector Centrality ◽

Mathematical Techniques ◽

New Research

This paper aims to identify the major research concepts studied in the literature of sustainability in construction projects. Two bibliometric analysis tools—(a) BibExcel and (b) Gephi, were used to analyze the bibliometrics indices of papers and visualize their interrelations as a network, respectively. Therefore, a research focus parallelship network (RFPN) analysis and keyword co-occurrence network (KCON) analysis were performed to uncover the primary research themes. The RFPN analysis clustered the studies into three major categories of evaluating sustainability, project management for sustainability, and drivers of sustainable construction. The KCON analysis revealed that while each paper had a different focus, the underlying concept of all clusters was sustainability, construction, and project management. We found that while ‘sustainability’ was the leading keyword in the first cluster, i.e., evaluating sustainability, it was the second top keyword with the eigenvector centrality of over 0.94 in the other two clusters. We also found that the concept of sustainability should be included in construction projects from the early stages of design and feasibility studies and must be monitored throughout the project life. This review showed that previous researchers used a variety of statistical and mathematical techniques such as structural equation modelling and fuzzy decision-making methods to study sustainability in construction projects. Using an integrated approach to identifying the research gaps in this area, this paper provides researchers with insights on how to frame new research to study sustainability in construction projects.

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Blockchain Technology for Secure Accounting Management: Research Trends Analysis

Mathematics ◽

10.3390/math9141631 ◽

2021 ◽

Vol 9 (14) ◽

pp. 1631

Author(s):

Emilio Abad-Segura ◽

Alfonso Infante-Moro ◽

Mariana-Daniela González-Zamar ◽

Eloy López-Meneses

Keyword(s):

Human Error ◽

Economic Sectors ◽

Blockchain Technology ◽

Digital Storage ◽

Accounting Management ◽

Research Investment ◽

Security Information Management ◽

Security Information ◽

Mathematical Techniques ◽

The Internet Of Things

The scope of blockchain technology, initially associated with the cryptocurrency Bitcoin, is greater due to the multiple applications in various disciplines. Its use in accounting lies mainly in the fact that it reduces risks and the eventuality of fraud, eliminates human error, promotes efficiency, and increases transparency and reliability. This means that different economic sectors assume it as a recording and management instrument. The aim is to examine current and emerging research lines at a global level on blockchain technology for secure accounting management. The evolution of the publication of the number of articles between 2016 and 2020 was analyzed. Statistical and mathematical techniques were applied to a sample of 1130 records from the Scopus database. The data uncovered a polynomial trend in this period. The seven main lines of work were identified: blockchain, network security, information management, digital storage, edge computing, commerce, and the Internet of Things. The ten most outstanding emerging research lines are detected. This study provides the past and future thematic axes on this incipient field of knowledge, which is a tool for decision-making by academics, researchers, and directors of research investment programs.

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Integrating Modelling of Maintenance Policies within a Stochastic Hybrid Automaton Framework of Dynamic Reliability

Applied Sciences ◽

10.3390/app11052300 ◽

2021 ◽

Vol 11 (5) ◽

pp. 2300

Author(s):

Simone Arena ◽

Irene Roda ◽

Ferdinando Chiacchio

Keyword(s):

Model Systems ◽

Mitigation Measures ◽

Repairable Systems ◽

Maintenance Policy ◽

Hybrid Automaton ◽

Dynamic Reliability ◽

Software Model ◽

Maintenance Policies ◽

Mathematical Techniques ◽

Continuous And Discrete Variables

The dependability assessment is a crucial activity for determining the availability, safety and maintainability of a system and establishing the best mitigation measures to prevent serious flaws and process interruptions. One of the most promising methodologies for the analysis of complex systems is Dynamic Reliability (also known as DPRA) with models that define explicitly the interactions between components and variables. Among the mathematical techniques of DPRA, Stochastic Hybrid Automaton (SHA) has been used to model systems characterized by continuous and discrete variables. Recently, a DPRA-oriented SHA modelling formalism, known as Stochastic Hybrid Fault Tree Automaton (SHyFTA), has been formalized together with a software library (SHyFTOO) that simplifies the resolution of complex models. At the state of the art, SHyFTOO allows analyzing the dependability of multistate repairable systems characterized by a reactive maintenance policy. Exploiting the flexibility of SHyFTA, this paper aims to extend the tools’ functionalities to other well-known maintenance policies. To achieve this goal, the main features of the preventive, risk-based and condition-based maintenance policies will be analyzed and used to design a software model to integrate into the SHyFTOO. Finally, a case study to test and compare the results of the different maintenance policies will be illustrated.

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