A mathematical model for scheduling of real-world tree-structured multi-product pipeline system

2014 ◽  
Vol 81 (1) ◽  
pp. 53-81 ◽  
Author(s):  
Hossein Mostafaei ◽  
Yagub Alipouri ◽  
Manouchehr Zadahmad
Keyword(s):  
Mathematical Model ◽  
Real World ◽  
Pipeline System ◽  
Product Pipeline

A mathematical model of real-world object shape predicts human perceptual judgments

2018 ◽  
Author(s):  
Caterina Magri ◽  
Andrew Marantan ◽  
L Mahadevan ◽  
Talia Konkle
Keyword(s):  
Mathematical Model ◽  
Real World ◽  
Object Shape ◽  
Perceptual Judgments

scholarly journals Optimal COVID-19 quarantine and testing strategies

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Chad R. Wells ◽  
Jeffrey P. Townsend ◽  
Abhishek Pandey ◽  
Seyed M. Moghadas ◽  
Gary Krieger ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Real World ◽  
Entry And Exit ◽  
Testing Strategies ◽  
Time Of Infection ◽  
Oil Rig ◽  
Offshore Oil

AbstractFor COVID-19, it is vital to understand if quarantines shorter than 14 days can be equally effective with judiciously deployed testing. Here, we develop a mathematical model that quantifies the probability of post-quarantine transmission incorporating testing into travel quarantine, quarantine of traced contacts with an unknown time of infection, and quarantine of cases with a known time of exposure. We find that testing on exit (or entry and exit) can reduce the duration of a 14-day quarantine by 50%, while testing on entry shortens quarantine by at most one day. In a real-world test of our theory applied to offshore oil rig employees, 47 positives were obtained with testing on entry and exit to quarantine, of which 16 had tested negative at entry; preventing an expected nine offshore transmission events that each could have led to outbreaks. We show that appropriately timed testing can make shorter quarantines effective.

scholarly journals Analysis on Present Mathematical Model for Predicting the Crop Production

2020 ◽  
Vol 9 (12) ◽  
pp. 168-170
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Real World ◽  
Crop Production ◽  
Ghg Emissions ◽  
Data Set ◽  
Factors Affecting ◽  
The Government ◽  
The Mathematical Model ◽  
Government Website

India is a worldwide agriculture business powerhouse. Future of agriculture-based products depends on the crop production. A mathematical model might be characterized as a lot of equations that speak to the conduct of a framework. By using mathematical model in agriculture field, we can predict the production of crop in particular area. There are various factors affecting crops such as Rainfall, GHG Emissions, Temperature, Urbanization, climate, humidity etc. A mathematical model is a simplified representation of a real-world system. It forms the system using mathematical principles in the form of a condition or a set of conditions. Suppose we need to increase the crop production, at that time the mathematical model plays a major role and our work can be easier, more significant by using the mathematical model. Through the mathematical model we predict the crop production in upcoming years. .AI, ML, IOT play a major role to predict the future of agriculture, but without mathematical models it is not possible to predict crop production accurately. To solve the real-world agriculture problem, mathematical models play a major role for accurate results. Correlation Analysis, Multiple Regression analysis and fuzzy logic simulation standards have been utilized for building a grain production benefit depending model from crop production. Prediction of crop is beneficiary to the farmer to analyze the crop management. By using the present agriculture data set which is available on the government website, we can build a mathematical model.

Evaluation of a Continuous Blood Glucose Monitor: A Novel and Non-Invasive Wearable Using Bioimpedance Technology

2021 ◽  
pp. 193229682110541
Author(s):  
Farid Sanai ◽  
Arshman S. Sahid ◽  
Jacqueline Huvanandana ◽  
Sandra Spoa ◽  
Lachlan H. Boyle ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Blood Glucose ◽  
Real World ◽  
Diabetes Management ◽  
Glucose Monitoring ◽  
Relative Difference ◽  
Self Monitoring ◽  
Non Invasive ◽  
Adult Participants ◽  
Blood Glucose Monitor

Background: Frequent blood glucose level (BGL) monitoring is essential for effective diabetes management. Poor compliance is common due to the painful finger pricking or subcutaneous lancet implantation required from existing technologies. There are currently no commercially available non-invasive devices that can effectively measure BGL. In this real-world study, a prototype non-invasive continuous glucose monitoring system (NI-CGM) developed as a wearable ring was used to collect bioimpedance data. The aim was to develop a mathematical model that could use these bioimpedance data to estimate BGL in real time. Methods: The prototype NI-CGM was worn by 14 adult participants with type 2 diabetes for 14 days in an observational clinical study. Bioimpedance data were collected alongside paired BGL measurements taken with a Food and Drug Administration (FDA)-approved self-monitoring blood glucose (SMBG) meter and an FDA-approved CGM. The SMBG meter data were used to improve CGM accuracy, and CGM data to develop the mathematical model. Results: A gradient boosted model was developed using a randomized 80-20 training-test split of data. The estimated BGL from the model had a Mean Absolute Relative Difference (MARD) of 17.9%, with the Parkes error grid (PEG) analysis showing 99% of values in clinically acceptable zones A and B. Conclusions: This study demonstrated the reliability of the prototype NI-CGM at collecting bioimpedance data in a real-world scenario. These data were used to train a model that could successfully estimate BGL with a promising MARD and clinically relevant PEG result. These results will enable continued development of the prototype NI-CGM as a wearable ring.

Routing Solutions for the Service Industry

2011 ◽  
pp. 46-78
Author(s):  
Burcin Bozkaya ◽  
Buyang Cao ◽  
Kaan Aktolug
Keyword(s):  
Mathematical Model ◽  
Vehicle Routing ◽  
Real World ◽  
Service Industry ◽  
Time Windows ◽  
Theoretical Research ◽  
Vehicle Routing Problems ◽  
Wide Applicability ◽  
Academic Researchers ◽  
Bus Service

First introduced by Dantzig and Ramser over 50 years ago, vehicle routing problems (VRP) have drawn the attention of both academic researchers and practitioners due to its difficult-to-solve nature and hence its attractiveness in theoretical research as well as wide applicability in real-world settings. Today VRP is probably one of the most widely encountered types of problems for routing and distribution in the service industry. Examples include furniture delivery to a customer’s address, scheduling of bus service pick-up/drop-off for students or company personnel, or service technician routing. The goal of this chapter is to provide a background, mathematical model and various solution approaches on a more commonly encountered variant of the problem, namely the VRP with Time Windows (VRPTW). The authors also present three case studies from their experience in the service industry that are real applications of VRPTW. For each study, they describe the overall approach and methodology, and the positive contributions to the respective company which has implemented enterprise-scale GIS-based systems around the distribution problem of interest.

scholarly journals Dynamics of an Information Spreading Model with Isolation

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Xia-Xia Zhao ◽  
Jian-Zhong Wang
Keyword(s):  
Mathematical Model ◽  
Hopf Bifurcation ◽  
Limit Cycle ◽  
Real World ◽  
Modern Society ◽  
The Real ◽  
Spreading Model ◽  
Wide Range ◽  
Bistable Phenomenon ◽  
Information Spreading

Information plays an important role in modern society. In this paper, we presented a mathematical model of information spreading with isolation. It was found that such a model has rich dynamics including Hopf bifurcation. The results showed that, for a wide range of parameters, there is a bistable phenomenon in the process of information spreading and thus the information cannot be well controlled. Moreover, the model has a limit cycle which implies that the information exhibits periodic outbreak which is consistent with the observations in the real world.

scholarly journals Discovery of nanoscale sanal flow choking in cardiovascular system: exact prediction of the 3D boundary-layer-blockage factor in nanotubes

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
V. R. Sanal Kumar ◽  
Vigneshwaran Sankar ◽  
Nichith Chandrasekaran ◽  
Sulthan Ariff Rahman Mohamed Rafic ◽  
Ajith Sukumaran ◽  
...  
Keyword(s):  
Boundary Layer ◽  
Mathematical Model ◽  
Fluid Flow ◽  
Real World ◽  
Diastolic Pressure ◽  
Pressure Ratio ◽  
Flow Choking ◽  
The Real ◽  
Blockage Factor ◽  
Flow Systems

AbstractEvidences are escalating on the diverse neurological-disorders and asymptomatic cardiovascular-diseases associated with COVID-19 pandemic due to the Sanal-flow-choking. Herein, we established the proof of the concept of nanoscale Sanal-flow-choking in real-world fluid-flow systems using a closed-form-analytical-model. This mathematical-model is capable of predicting exactly the 3D-boundary-layer-blockage factor of nanoscale diabatic-fluid-flow systems (flow involves the transfer of heat) at the Sanal-flow-choking condition. As the pressure of the diabatic nanofluid and/or non-continuum-flows rises, average-mean-free-path diminishes and thus, the Knudsen-number lowers heading to a zero-slip wall-boundary condition with the compressible-viscous-flow regime in the nanoscale-tubes leading to Sanal-flow-choking due to the sonic-fluid-throat effect. At the Sanal-flow-choking condition the total-to-static pressure ratio (ie., systolic-to-diastolic pressure ratio) is a unique function of the heat-capacity-ratio of the real-world flows. The innovation of the nanoscale Sanal-flow-choking model is established herein through the entropy relation, as it satisfies all the conservation-laws of nature. The physical insight of the boundary-layer-blockage persuaded nanoscale Sanal-flow-choking in diabatic flows presented in this article sheds light on finding solutions to numerous unresolved scientific problems in physical, chemical and biological sciences carried forward over the centuries because the mathematical-model describing the phenomenon of Sanal-flow-choking is a unique scientific-language of the real-world-fluid flows. The 3D-boundary-layer-blockage factors presented herein for various gases are universal-benchmark-data for performing high-fidelity in silico, in vitro and in vivo experiments in nanotubes.

scholarly journals Mode diagnostics of pipeline systems of the energetics

2020 ◽  
Vol 216 ◽  
pp. 01001
Author(s):  
Mikhail Sukharev
Keyword(s):  
Mathematical Model ◽  
Power Systems ◽  
Flow Regime ◽  
Measurement Errors ◽  
Random Variables ◽  
Gas Pipeline ◽  
Pipeline System ◽  
Gas Pumping ◽  
Gas Pumping Unit ◽  
Standard Software

The paper proposes a method for diagnosing gradual failures in pipeline power systems, based on tracking the dynamics of flow regime parameters. The method also makes it possible to promptly adjust the coefficients of a mathematical model of the system objects. Conclusions are made based on the analysis of the entire set of measurements, which are considered random variables due to measurement errors. Conclusions are made based on the analysis of the entire set of measurements, which are considered random variables due to instrumental errors. Examples of a gas pumping unit and a complex looped gas pipeline system are given. Calculations are performed using standard software.

scholarly journals A Mathematical Model to Solve the Burgers-Huxley Equation by using New Homotopy Perturbation Method

2019 ◽  
Vol 4 (6) ◽  
pp. 1483-1495
Author(s):  
Dinesh Kumar Maurya ◽  
Ravendra Singh ◽  
Yogendra Kumar Rajoria
Keyword(s):  
Differential Equation ◽  
Mathematical Model ◽  
Perturbation Method ◽  
Real World ◽  
Analytical Method ◽  
Homotopy Perturbation Method ◽  
Three Dimension ◽  
Homotopy Perturbation ◽  
Precise Solution ◽  
Huxley Equation

A semi-analytical method has been planned for the precise solution of the differential equation established on the New Homotopy Perturbation Method (NHPM), and to develop a generalized Burger-Huxley (BH) equation, in this paper. By employing NHPM, two case studies show the precise solution of the BH equation. It is shown that the NHPM is yield solution is convergent from with the easy computability term; NHPM is an effective and easy tool for cracking many real world difficulties. The three-dimension and two dimension graphical solutions of the BH equations are also provided to validate the mathematical models. MATLAB software is used to calculate the series obtained from HPM.

Sign in / Sign up

Export Citation Format

Share Document