Traffic Management Staff System Based on MARKOV Modal

2014 ◽  
Vol 556-562 ◽  
pp. 4582-4585
Author(s):  
Xing Wei Liu ◽  
Jun Song ◽  
Ya Hui Cheng ◽  
Yi Bo Xu ◽  
Jian Long Ma
Keyword(s):  
Mathematical Model ◽  
Human Resource ◽  
Traffic Management ◽  
Social Progress ◽  
Web Pages ◽  
Cultural Conditions ◽  
Human Situation ◽  
The Social ◽  
Management Staff ◽  
The Mathematical Model

Social progress absolutely doesn’t means a situation that sacrificing the benefits of most people to satisfy the benefits of the minority. This paper will discuss some questions surrounded with the social resources human resource supply chain. This paper also discusses whether ‘promotion changing pattern of common progress’ can be applied to all kinds of industries, and what natural and cultural conditions to meet so that achieving social and human situation [1]. We have found that MARKOV model meet the promotion of such progress law. At the same time, using the MARKOV modal, this article has done a comparative analysis based on a number of growth historical data. We extract an appropriate mathematical model to predict the human resource after correcting the old model. According to the mathematical model we extracted, we analyze and predict the result of questions. Finally, the article give the models and results obtained in the form of web pages so that making readers and managers decide and read more visually and better.

scholarly journals Representation of Social Systems as Nonlinear, Complex, Self-Organizing and Closely Related to Biosystems and Mathematical Model of Their Evolution

2021 ◽  
Vol 248 ◽  
pp. 03008
Author(s):  
Ekaterina Romanova ◽  
Ludmila Uvarova
Keyword(s):  
Mathematical Model ◽  
Social System ◽  
High Probability ◽  
General Structure ◽  
Social Systems ◽  
Graphic Model ◽  
The Social ◽  
Spiral Structures ◽  
The Mathematical Model ◽  
Self Organizing

On the basis of the systemic and synergistic approaches, the features and regularity of the selforganizing systems, it is concluded that the social systems are nonlinear, open, complex, self-organizing systems. The scheme-model of the general structure of the social system is considered. Much attentions is given to the interactions of the social systems elements with the biosystems. The graphic model-tree, reflecting the association between the social systems and the biosystems. In connection with that the most significant technologies and the scientific trends, connecting with the biosystems: the gens, the genetic engineering, the artificial intellect, the bio- and nanotechnologies, the biomedicine, microbes, viruses are considered. The futures of the dynamics of the social systems are noted. It is shown, that, with a high probability, the spiral evolutionary processes can occur in the social systems. The mathematical model is presented, that describes the spiral structures, based on the Swift-Hohenberg equation.

scholarly journals Mathematical Modeling of Zebrafish Social Behavior in Response to Acute Caffeine Administration

2021 ◽  
Vol 7 ◽  
Author(s):  
Mohammad Tuqan ◽  
Maurizio Porfiri
Keyword(s):  
Mathematical Model ◽  
Social Behavior ◽  
Model Organism ◽  
Water Tank ◽  
Psychoactive Substances ◽  
Preclinical Research ◽  
The Social ◽  
The Mathematical Model ◽  
Potential Use ◽  
Turn Rate

Zebrafish is a model organism that is receiving considerable attention in preclinical research. Particularly important is the use of zebrafish in behavioral pharmacology, where a number of high-throughput experimental paradigms have been proposed to quantify the effect of psychoactive substances consequences on individual and social behavior. In an effort to assist experimental research and improve animal welfare, we propose a mathematical model for the social behavior of groups of zebrafish swimming in a shallow water tank in response to the administration of psychoactive compounds to select individuals. We specialize the mathematical model to caffeine, a popular anxiogenic compound. Each fish is assigned to a Markov chain that describes transitions between freezing and swimming. When swimming, zebrafish locomotion is modeled as a pair of coupled stochastic differential equations, describing the time evolution of the turn-rate and speed in response to caffeine administration. Comparison with experimental results demonstrates the accuracy of the model and its potential use in the design of in-silico experiments.

Spread and control of COVID-19: A mathematical model

2021 ◽  
Author(s):  
O. P. Misra ◽  
Omprakash Singh Sisodiya
Keyword(s):  
Mathematical Model ◽  
Control Measures ◽  
Transition Rates ◽  
Susceptible Population ◽  
Death Rates ◽  
Social Distancing ◽  
The Social ◽  
The Stability ◽  
And Control ◽  
The Mathematical Model

A mathematical model is proposed in this paper to study the transmission and control of COVID-19. The mathematical model is formulated using system of nonlinear ordinary differential equations. The model includes disease-related parameters such as contact rate, disease-induced death rates, immigration rate and transition rates along with parameters for control measures such as implementation of social distancing practices, isolation and quarantine rates. From the stability analysis of the model, it is shown that if the social distancing is practiced by the large number of susceptible population, then the disease will not spread, and it may eventually die out. Further, it is derived from the analysis of the model that if most of the infected populations are isolated or quarantined, then the spread of the disease can be eventually controlled. However, from the analysis of the model, it is observed that if there is constant immigration of asymptomatic infected persons, then the disease will continue to spread and will remain pandemic. For controlling the disease, two more parameters, that is, vaccination and testing rates, are introduced in the original mathematical model and from the numerical analysis of this model, it has been shown that the control strategy involving vaccination and testing in combination can have synergistic effect for minimizing the COVID-19 infected cases.

A mathematical model to adopt B2C ecommerce based on special customer requirement in social values with an emphasis on Islamic beliefs

2019 ◽  
Vol 10 (4) ◽  
pp. 1167-1195
Author(s):  
Saeidi Ramyani Saleh ◽  
Ehsan Mousavi Khaneghah ◽  
Nosratollah Shadnosh ◽  
Amirhosein Reyhani ShowkatAbad
Keyword(s):  
Mathematical Model ◽  
Social Values ◽  
Point Of View ◽  
Social Value ◽  
Affecting Factors ◽  
Content Type ◽  
Factors Affecting ◽  
The Social ◽  
Business To Consumer ◽  
The Mathematical Model

PurposeThis paper aims to propose a mathematical model for describing and clarifying the relationships among the indicators governing the social values of special customers in business-to-consumer (B2C) e-commerce systems. This mathematical model is also able to describe the degree of adaptability of e-commerce systems to the social values of specific clients, and commercial firms are able to use the parameters described in this paper to increase the versatility and has the power to trade with special customers in different areas.Design/methodology/approachIn this paper, while analyzing the issue of trading from the point of view of the customer as an element of trading, the affecting factors the trading space have been extracted. These affecting factors are categorized in three major groups: culture, technology and customers. This classification is based on the e-commerce and developing the traditional commerce. Using the mapping functions, the effects of each element in these three spaces on the concept of social values have been analyzed. The result of this analysis is the mathematical model governing each parameter and its semantic relation with the concept of social value.FindingsThe presence of a mathematical model between the indicators influencing the model adaptability and social values space allows e-commerce system designers to be able to make decisions on the adaptability of the model with a quantitative approach. To examine the proposed mathematical models, important frameworks and patterns in the field of e-commerce have been analyzed with an Islamic approach, as one of the adaptations of B2C e-commerce model.Research limitations/implicationsRegarding the innovation of the work, the case has been made, and the concept of social value and the model governing the elements of social values in this paper, in a B2C e-commerce model, has been discussed in general; the problem is parametric solved.Practical implicationsOne of the key concepts in commerce is the ability of the commerce model to adapt to the requirements of special customers. This is more important in costumer-based e-commerce models. In these types of systems, if the commerce cannot match the customer’s characteristics, it will not be accepted and used by customers. This is especially more important in the field of social values for customers.Originality/valueIn this paper, a mathematical model is presented to examine the adaptability of e-commerce systems to the social values of special customers. In examining this model, the relationship between each element affecting the social value of specific customers and the factors affecting trade has been studied.

scholarly journals APPLICATION OF THE SIR MODEL TO COVID-19: social distance and (no-)evolution of the pandemic in state of the Tocantins

2020 ◽  
Vol 6 (3) ◽  
pp. a16en
Author(s):  
Élis Gardel da Costa Mesquita ◽  
Janeisi de Lima Meira ◽  
José de Ribamar Leonel Dias Neto
Keyword(s):  
Mathematical Model ◽  
Decision Making ◽  
Social Distance ◽  
Sir Model ◽  
System Of Differential Equations ◽  
Public Power ◽  
The Social ◽  
Isolation Index ◽  
The Mathematical Model ◽  
Reproduction Factor

This article is a study about the behavior and spread of the Covid-19 pandemic, in the state of Tocantins, based on data reported from March 18 to June 10. A modification of the mathematical model SIR was used, in which some auxiliary compartments were added. We analyzed epidemic aspects such as the speed of the contagion curve and its impacts on the health system. As the data are made available daily, a discretization of the system of differential equations that make up the model was performed, and based on the availability of known data, we investigated the correlation between the social isolation index and the basic reproduction factor.  Through a very simple interpolation, approximate contagion rates were obtained, enabling us to evaluate the behavior of the evolution of contagion curves and those that depend on them, which allows us to anticipate scenarios based on the trend lines of the data generated, thus helping decision making public power.

scholarly journals The social brain of social media – a physiological boundary to the number of online relations

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
J. K. Perret
Keyword(s):  
Mathematical Model ◽  
Social Media ◽  
Upper Bound ◽  
Social Brain ◽  
Data Set ◽  
Common Boundary ◽  
Mathematical Background ◽  
The Social ◽  
Social Media Platforms ◽  
The Mathematical Model

AbstractBased on the research done by Dunbar and the resulting Social Brain Hypothesis, the present study introduced a mathematical model for the development of follower numbers and the number of followed accounts regarding users/influencers of Social Media platforms. Under very simple assumptions the mathematical model suggests that an universal upper bound to follower and followed numbers exists. The theoretical upper bound is then empirically validated by using a representative data set of 255 influencers on Instagram from the field of women’s fashion. The follower numbers show convergence to a common boundary for the years 2018 to 2019 and stagnation for 2019 to 2020, while the number of followed accounts show stagnation for 2018 to 2019 and convergence for 2019 and 2020. The model in conjunction with its empirical validation therefore provides the mathematical background to establish the socio-biological Social Brain Hypothesis in the field of influencer marketing in regards to Social Media platforms.

DETERMINATION OF PERFORMANCE INDICATORS OF THE TRUCK KrAZ-6510TE

2020 ◽  
pp. 19-26
Author(s):  
Olexandr Pavlenko ◽  
Serhii Dun ◽  
Maksym Skliar
Keyword(s):  
Mathematical Model ◽  
Surface Friction ◽  
Building Structures ◽  
Maximum Torque ◽  
Military Equipment ◽  
Military Vehicles ◽  
Force Magnitude ◽  
Vehicle Mobility ◽  
The Mathematical Model

In any economy there is a need for the bulky goods transportation which cannot be divided into smaller parts. Such cargoes include building structures, elements of industrial equipment, tracked or wheeled construction and agricultural machinery, heavy armored military vehicles. In any case, tractor-semitrailer should provide fast delivery of goods with minimal fuel consumption. In order to guarantee the goods delivery, tractor-semitrailers must be able to overcome the existing roads broken grade and be capable to tow a semi-trailer in off-road conditions. These properties are especially important for military equipment transportation. The important factor that determines a tractor-semitrailer mobility is its gradeability. The purpose of this work is to improve a tractor-semitrailer mobility with tractor units manufactured at PJSC “AutoKrAZ” by increasing the tractor-semitrailer gradeability. The customer requirements for a new tractor are determined by the maximizing the grade to 18°. The analysis of the characteristics of modern tractor-semitrailers for heavy haulage has shown that the highest rate of this grade is 16.7°. The factors determining the limiting gradeability value were analyzed, based on the tractor-semitrailer with a KrAZ-6510TE tractor and a semi-trailer with a full weight of 80 t. It has been developed a mathematical model to investigate the tractor and semi-trailer axles vertical reactions distribution on the tractor-semitrailer friction performances. The mathematical model has allowed to calculate the gradeability value that the tractor-semitrailer can overcome in case of wheels and road surface friction value and the tractive force magnitude from the engine. The mathematical model adequacy was confirmed by comparing the calculations results with the data of factory tests. The analysis showed that on a dry road the KrAZ-6510TE tractor with a 80 t gross weight semitrailer is capable to climb a gradient of 14,35 ° with its coupling mass full use condition. The engine's maximum torque allows the tractor-semitrailer to overcome a gradient of 10.45° It has been determined the ways to improve the design of the KrAZ-6510TE tractor to increase its gradeability. Keywords: tractor, tractor-semitrailer vehicle mobility, tractor-semitrailer vehicle gradeability.

EXPERIMENTAL STUDIES OF CAR PROPERTIES ON A PHYSICAL MODEL

2019 ◽  
pp. 10-16
Author(s):  
Oleksii Timkov ◽  
Dmytro Yashchenko ◽  
Volodymyr Bosenko
Keyword(s):  
Mathematical Model ◽  
Remote Control ◽  
Physical Model ◽  
Model Experiment ◽  
Experimental Studies ◽  
Electrical Energy ◽  
Short Term ◽  
Motor Current ◽  
Memory Card ◽  
The Mathematical Model

The article deals with the development of a physical model of a car equipped with measuring, recording and remote control equipment for experimental study of car properties. A detailed description of the design of the physical model and of the electronic modules used is given, links to application libraries and the code of the first part of the program for remote control of the model are given. Atmega microcontroller on the Arduino Uno platform was used to manage the model and register the parameters. When moving the car on the memory card saved such parameters as speed, voltage on the motor, current on the motor, the angle of the steered wheel, acceleration along three coordinate axes are recorded. Use of more powerful microcontrollers will allow to expand the list of the registered parameters of movement of the car. It is possible to measure the forces acting on the elements of the car and other parameters. In the future, it is planned to develop a mathematical model of motion of the car and check its adequacy in conducting experimental studies on maneuverability on the physical model. In addition, it is possible to conduct studies of stability and consumption of electrical energy. The physical model allows to quickly change geometric dimensions and mass parameters. In the study of highway trains, this approach will allow to investigate the various layout schemes of highway trains in the short term. It is possible to make two-axle road trains and saddle towed trains, three-way hitched trains of different layout. The results obtained will allow us to improve not only the mathematical model, but also the experimental physical model, and move on to further study the properties of hybrid road trains with an active trailer link. This approach allows to reduce material and time costs when researching the properties of cars and road trains. Keywords: car, physical model, experiment, road trains, sensor, remote control, maneuverability, stability.

RESEARCH OF INDICATORS OF A VEHICLE WITH A DIESEL WORKING ON DIESEL AND DIESEL GAS CYCLES USING THE MATHEMATICAL MODEL

2020 ◽  
pp. 14-19
Author(s):  
Serhii Kovbasenko ◽  
Andriy Holyk ◽  
Serhii Hutarevych
Keyword(s):  
Mathematical Model ◽  
Diesel Engine ◽  
Environmental Performance ◽  
Energy Performance ◽  
Dual Fuel ◽  
Fuel System ◽  
Compressed Natural Gas ◽  
Diesel Vehicles ◽  
Diesel Cycle ◽  
The Mathematical Model

The features of an advanced mathematical model of motion of a truck with a diesel engine operating on the diesel and diesel gas cycles are presented in the article. As a result of calculations using the mathematical model, a decrease in total mass emissions as a result of carbon monoxide emissions is observed due to a decrease in emissions of nitrogen oxides and emissions of soot in the diesel gas cycle compared to the diesel cycle. The mathematical model of a motion of a truck on a city driving cycle according to GOST 20306-90 allows to study the fuel-economic, environmental and energy indicators of a diesel and diesel gas vehicle. The results of the calculations on the mathematical model will make it possible to conclude on the feasibility of converting diesel vehicles to using compressed natural gas. Object of the study – the fuel-economic, environmental and energy performance diesel engine that runs on dual fuel system using CNG. Purpose of the study – study of changes in fuel, economic, environmental and energy performance of vehicles with diesel engines operating on diesel and diesel gas cycles, according to urban driving cycle modes. Method of the study – calculations on a mathematical model and comparison of results with road tests. Bench and road tests, results of calculations on the mathematical model of motion of a truck with diesel, working on diesel and diesel gas cycles, show the improvement of environmental performance of diesel vehicles during the converting to compressed natural gas in operation. Improvement of environmental performance is obtained mainly through the reduction of soot emissions and nitrogen oxides emissions from diesel gas cycle operations compared to diesel cycle operations. The results of the article can be used to further develop dual fuel system using CNG. Keywords: diesel engine, diesel gas engine, CNG

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