Existence of a linear flows particle tracking model with a stochastic waiting time depending on the Gaussian jump length

2021 ◽  
pp. 2150426
Author(s):  
Mohamed Abd Allah El-Hadidy ◽  
Alaa A. Alzulaibani
Keyword(s):  
Waiting Time ◽  
Flow Line ◽  
Uv Detector ◽  
Maximum Probability ◽  
Jump Length ◽  
Particle Flows ◽  
Tracking Model ◽  
Linear Flows ◽  
Tracking Time ◽  
The Right

This paper discusses the existence of the tracking model to detect a linear flows particle with a stochastic waiting time depending on the Gaussian jump length. This model is useful to measure the impurity quantification such as Radionuclides and Toxic Chemicals (particle) within the interaction medium (fluid) with minimum time and maximum probability. The particle flows linearly toward the origin (either from the left or the right). The flow line contains a nano programmed sensor (or nano UV detector). This sensor starts the tracking process for the particle (target) from the origin (filtration point) with speed equals one. We obtain the expected value of the tracking time until the sensor return to the origin with the target. Some competitive analysis depends on the uncertain values of the traveled distances which are derived to get necessary conditions for the sensor’s optimal distances. The numerical results demonstrate the efficiency of this model.

Study on the existence of the transportation particle tracking model in the interactive medium

2021 ◽  
pp. 2150256
Author(s):  
Mohamed Abd Allah El-Hadidy ◽  
Alaa A. Alzulaibani
Keyword(s):  
Waiting Time ◽  
Particle Tracking ◽  
Necessary Conditions ◽  
Particle Detection ◽  
Particle Tracking Model ◽  
Search Plan ◽  
Tracking Process ◽  
Unit Speed ◽  
Tracking Model ◽  
Interactive Medium

This paper assumes that the particle jumps randomly (Guassian jumps) from one point to another along one of the imaginary lines inside the interactive medium. Since this study was done in the space, we consider that the position of the particle at any time [Formula: see text] has a multivariate distribution. The random waiting time of the particle for each Gaussian jump depends on its length. An identical set of programed nanosensors (with unit speed) were used to track this particle. Each line has a sensor that starts the tracking process from the origin. The existence of the necessary conditions which give the optimal search plan and the minimum expected value of the particle detection has been proven. This study is supported by a numerical example.

Effects of the laryngeal jet on nano- and microparticle transport and deposition in an approximate model of the upper tracheobronchial airways

2008 ◽  
Vol 104 (6) ◽  
pp. 1761-1777 ◽  
Author(s):  
Jinxiang Xi ◽  
P. Worth Longest ◽  
Ted B. Martonen
Keyword(s):  
Reverse Flow ◽  
Approximate Model ◽  
In Vitro Models ◽  
Deposition Density ◽  
Flow Features ◽  
Tracking Model ◽  
Induced Flow ◽  
Lagrangian Tracking ◽  
The Right

The extent to which laryngeal-induced flow features penetrate into the upper tracheobronchial (TB) airways and their related impact on particle transport and deposition are not well understood. The objective of this study was to evaluate the effects of including the laryngeal jet on the behavior and fate of inhaled aerosols in an approximate model of the upper TB region. The upper TB model was based on a simplified numerical reproduction of a replica cast geometry used in previous in vitro deposition experiments that extended to the sixth respiratory generation along some paths. Simulations with and without an approximate larynx were performed. Particle sizes ranging from 2.5 nm to 12 μm were considered using a well-tested Lagrangian tracking model. The model larynx was observed to significantly affect flow dynamics, including a laryngeal jet skewed toward the right wall of the trachea and a significant reverse flow in the left region of the trachea. Inclusion of the laryngeal model increased the tracheal deposition of nano- and micrometer particles by factors ranging from 2 to 10 and significantly reduced deposition in the first three bronchi of the model. Considering localized conditions, inclusion of the laryngeal approximation decreased deposition at the main carina and produced a maximum in local surface deposition density in the lobar-to-segmental bifurcations (G2–G3) for both 40-nm and 4-μm aerosols. These findings corroborate previous experiments and highlight the need to include a laryngeal representation in future computational and in vitro models of the TB region.

A mathematical model for preventing HIV virus from proliferating inside CD4 T brownian cell using Gaussian jump nanorobot

2019 ◽  
Vol 12 (07) ◽  
pp. 1950076 ◽  
Author(s):  
Mohamed Abd Allah El-Hadidy ◽  
Alaa A. Alzulaibani
Keyword(s):  
Mathematical Model ◽  
Random Walk ◽  
Probability Density Function ◽  
Waiting Time ◽  
Continuous Time ◽  
Nonlinear Flow ◽  
Stat Phys ◽  
Jump Length ◽  
Hiv Virus ◽  
Probability Density Function Pdf

We present a statistical distribution of a nanorobot motion inside the blood. This distribution is like the distribution of A and B particles in continuous time random walk scheme inside the fluid reactive anomalous transport with stochastic waiting time depending on the Gaussian distribution and a Gaussian jump length which is detailed in Zhang and Li [J. Stat. Phys., Published Online with https://doi.org/10.1007/s10955-018-2185-8 , 2018]. Rather than estimating the length parameter of the jumping distance of the nanorobot, we normalize the Probability Density Function (PDF) and present some reliability properties for this distribution. In addition, we discuss the truncated version of this distribution and its statistical properties, and estimate its length parameter. We use the estimated distance to study the conditions that give a finite expected value of the first meeting time between this nanorobot in the case of nonlinear flow with independent [Formula: see text]-dimensional Gaussian jumps and an independent [Formula: see text]-dimensional CD4 T Brownian cell in the blood ([Formula: see text]-space) to prevent the HIV virus from proliferating within this cell.

scholarly journals An Effective Software Reliability Estimation with Real-Valued Genetic Algorithm

2018 ◽  
Vol 7 (2.32) ◽  
pp. 359
Author(s):  
Dr G KrishnaMohan ◽  
B Sowmya ◽  
K Mohanvamsi ◽  
K Sandeep
Keyword(s):  
Genetic Algorithm ◽  
Parameters Estimation ◽  
Reliability Estimation ◽  
Free Form ◽  
Numerical Estimation ◽  
Maximum Probability ◽  
Identification Rate ◽  
Full Form ◽  
The Right ◽  
Efficient Software

The implemented approach is powerful method for estimating reliability of the software parameters growing SRGM by utilizing an Algorithm which is known as RGA. The full form of RGA is Real-valued Genetic Algorithm. Parameters required for current SRGM, if we take an illustration, the Failures average number or identification rate of the failure utilizing the techniques which are numerical, estimation of the maximum probability or estimation of minimum square.RGA means the free form of SRGM parameter estimation limitations. Instead of these, this can be much adapted for optimizing domain continuously compared to the algorithm of the binary genetic. The operators of GA which is 2 real valued crossovers& mutation of non-uniform interfaced for enhancing SRGM parameters estimation execution and accuracy enhancement. I led tests over eight datasets which are real valued to contrast implemented scheme & techniques of the numerical & another generic algorithm which are typical. The results describes that in estimation of SRGM parameters, the RGA is the most powerful compared to the others. So that we can trust the RGA which is the right solution for getting the efficient software quality with estimation of reliable accuracy.  

scholarly journals Simulasi Penentuan Optimasi Arah Taksi Kosong Dengan Gps Dan Metode Monte Carlo

2010 ◽  
Vol 22 (2) ◽  
pp. 214-228
Author(s):  
Sabungan Halomoan Hutapea ◽  
Rosita Sinaga
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Simulation Model ◽  
Waiting Time ◽  
Arrival Time ◽  
Taxi Driver ◽  
Coordinate Position ◽  
Position Data ◽  
The Right ◽  
Monte Carlo Simulation Model

The development of metropolitan cihJ as Jakarta for years is high, thus the demand Jo transportationservices. Tcui is one of mode transportation which is mostly used by middle to high class people. Theproblem is, sometimes many people are wasting time for waiting empty taxi, mean while manyempty taxi, are searching for the passenger.The objective of this simulation model is to direct the taxi, movement to get passenger with the help ofi~b "based software. So then, there is information to direct the taxi, mavement to choose the right Wat}to get passenger with high possibilihJ rate of passenger.The taxi, driver is equipped by GPS that will find out the coordinate position data of geographical. Toinput the data such as position of start-finish and arrival time of passenger it can be done by cellμlarphone then data will be transmit to ~bsite.Using simulation approaching, a Monte Carlo simulation model can be build that will optimize taxi,driver to find passenger. This modeling will be able to estimate the possibilihj of passenger arrival anddistribution of taxi, cars in one area. The comparison of simulation without modeling resuled intincreament of some aspects, such as increment of delivetJ services increase to 81.48%, searching timeand waiting time become 4.12% and 6.45% respectively.Keyword: taxi, movement, waiting time, travel time, Monte-Carlo Simulation

scholarly journals Yakutsk Water Agglomeration at the Lena River – Channel Processes Problems: History, Current State, Prospect, and Possibilities of Control

2012 ◽  
pp. 44-56
Author(s):  
Keyword(s):  
Flow Line ◽  
River Channel ◽  
Main Trend ◽  
Channel Processes ◽  
Channel Deformations ◽  
Lena River ◽  
Current State ◽  
Valley Side ◽  
Predictive Assessment ◽  
The Right

The paper presents results of the analysis of the Lena River channel deformations near the Yakutsk City over the period exceeding the past 100 years. The data presented enables to conclude that the main trend of the channel development over that period has been a transformation of the adjoint braids pattern into the parallel arms pattern accompanied with directed migration of the main flow line towards the right valley side along the entire studied reach. Such a tendency of channel evolution creates an unfavorable situation for operations of the Yakutsk water industry and transportation facilities. The paper also gives a predictive assessment of the future channel deformations and proposes a set of channel regulation measures aimed at improving the situation.

scholarly journals The correlation between response time and waiting time on patients’ satisfaction at the emergency departement

2020 ◽  
Vol 1 ◽  
pp. 142-145
Author(s):  
Wasis Sapto Putro ◽  
Sodikin Sodikin
Keyword(s):  
Emergency Department ◽  
Patient Satisfaction ◽  
Response Time ◽  
Waiting Time ◽  
Quantitative Research ◽  
Sampling Technique ◽  
P Value ◽  
Chi Square ◽  
Chi Square Test ◽  
The Right

Fast and accurate services are essential in the Emergency Departement (ED). Services in the emergency room will be hampered if it is are full of patients. If this is not managed well, the right services cannot be implemented. In turn, it will have a bad effect on patient satisfaction. To analyze the correlation between response time and waiting time with patient satisfaction during service at the Emergency Department of the Banyumas Regional General Hospital.This research is quantitative research. The sampling technique in this study used purposive sampling of 96 respondents. The statistical test used is the chi square test.Most respondents percieved the responding time in ER is fast; most of them also rated that the waiting time in ER is short. Most of them are also satisfied with ER services. The chi square test results in p value of <0.05 for each variable. It means there is a relationship between response time and waiting time with patient satisfaction during service at the Emergency Department of Banyumas Regional General Hospital.Response time and waiting time are related to patient satisfaction during service at the Emergency Department of Banyumas Regional General Hospital.

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