scholarly journals Passenger level of service estimation model for queuing systems at the airport

2018 ◽  
Vol 47 (3) ◽  
pp. 29-38 ◽  
Author(s):  
Artur Kierzkowski ◽  
Tomasz Kisiel ◽  
Maria Pawlak
Keyword(s):  
Mathematical Model ◽  
Multiple Regression ◽  
Process Management ◽  
Regression Function ◽  
Service Operations ◽  
Level Of Service ◽  
Estimation Model ◽  
Scientific Publications ◽  
Time Space ◽  
The Mathematical Model

This paper presents a model for the management of passenger service operations at airports by the estimation of a global index of the level of service. This paper presents a new approach to the scheduling of resources required to perform passenger service operations at airports. The approach takes into account the index of level of service as a quantitative indicator that can be associated with airport revenues. Taking this index into account makes it possible to create an operating schedule of desks, adapted to the intensity of checking-in passengers, and, as such, to apply dynamic process management. This offers positive aspects, particularly the possibility of improvement of service quality that directly translates into profits generated by the non-aeronautical activity of airports. When talking about level of service, there can be distinguish other important indicators that are considered very often (eg maximum queuing time, space in square meters). In this model, however, they are considered as secondary. Of course, space in square meters is important when designing a system. Here this system is already built and functioning. The concept of the model is the use of a hybrid method: computer simulation (Monte Carlo simulation) with multiple regression. This paper focuses on the presentation of a mathematical model used to determine the level of service index that provides new functionality in the current simulation model, as presented in the authors’ previous scientific publications. The mathematical model is based on a multiple regression function, taking into account the significance of individual elementary operations of passenger service at an air terminal.

Mathematical model for determining the expenditure of cooling and lubricating fluid reaching directly the grinding zone

2018 ◽  
Vol 1 (94) ◽  
pp. 27-34
Author(s):  
W. Stachurski ◽  
J. Sawicki ◽  
K. Krupanek ◽  
S. Midera
Keyword(s):  
Mathematical Model ◽  
Multiple Regression ◽  
Regression Function ◽  
Multiple Regression Equation ◽  
Grinding Wheel ◽  
Grinding Process ◽  
Rake Face ◽  
Rejection Method ◽  
Ansys Cfx ◽  
The Mathematical Model

Purpose: The purpose of this article is to discuss the method of determining the mathematical model used for calculating the amount of emulsion reaching directly the grinding zone during the hob sharpening process. Design/methodology/approach: The mathematical model, in the form of a multiple regression function, was determined based on the acceptance and rejection method. The data for the calculations was obtained by conducting numerical simulations of fluid flow in the Ansys CFX software. Findings: A mathematical model enables calculating the amount of efficient expenditure of emulsion reaching directly the zone of contact between the grinding wheel and workpiece (hob cutter rake face) at various nozzle angle settings and different nominal expenditures of emulsion. The verification of the mathematical relationship confirmed its accuracy. Research limitations/implications: Further research should focus on the other types of grinding process and other types of cooling and lubricating fluids. Practical implications: The mathematical model enables a selection and application in the workshop and industrial practice of various variants of emulsion supply during the grinding of hob cutter rake face. Analysis of the multiple regression equation created on the basis of the acceptance and rejection method also allows predicting changes in the analyzed numerical model. Originality/value: The literature review has shown that no research of this type has been conducted with regard to analyses and optimisation of the grinding process during hob cutter sharpening. The results of this research are a novelty on a worldwide scale.

Surface roughness of the Ti-6Al-4V ELI titanium alloy after the turning process

2019 ◽  
Vol 2 (98) ◽  
pp. 74-80
Author(s):  
R. Rosik ◽  
N. Kępczak ◽  
M. Sikora ◽  
B. Witkowski ◽  
R. Wójcik ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Surface Roughness ◽  
Titanium Alloy ◽  
Multiple Regression ◽  
Roughness Parameter ◽  
Regression Function ◽  
Turning Process ◽  
Longitudinal Turning ◽  
Machining Parameter ◽  
The Mathematical Model

Purpose: The purpose of this article is discussing the methods of determining the surface roughness of the Ti-6Al-4V ELI titanium alloy obtained after longitudinal turning. The method of determining the mathematical model used for determining the Rz roughness parameter and then the results obtained were compared with values measured and calculated on the basis of equations available in the literature. Design/methodology/approach: The mathematical model in the form of multiple regression function of exponential polynomial was determined using the algorithm of the acceptance and rejection method. The data for calculations was obtained by measuring the surface roughness after turning with different machining parameter values. Findings: A mathematical model was elaborated in the form of a multiple regression function, enabling calculation of the Rz parameter describing the Ti-6Al-4V ELI titanium alloy surface roughness after longitudinal turning. The verification of the dependence obtained confirmed its accuracy. Research limitations/implications: Further research should encompass other values of machining plate geometry, as well as other types of cooling and lubricating fluids and method of applying them. Practical implications: The mathematical model can be helpful when choosing the conditions in which the turning process will be carried out. It also constitutes a basis for further optimisation of that process. Originality/value: The results of this research are a novelty on a worldwide scale. No research of this type has been conducted with regard to analyses and optimisation of longitudinal turning of the Ti-6Al-4V ELI titanium alloy.

scholarly journals A Probabilistic Analysis of Path Duration Using Routing Protocol in VANETs

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Ram Shringar Rao ◽  
Sanjay Kumar Soni ◽  
Nanhay Singh ◽  
Omprakash Kaiwartya
Keyword(s):  
Mathematical Model ◽  
Routing Protocol ◽  
Delivery Ratio ◽  
Estimation Model ◽  
Routing Metrics ◽  
Analytical Results ◽  
Path Duration ◽  
Result Analysis ◽  
Duration Estimation ◽  
The Mathematical Model

In recent years, various routing metrics such as throughput, end-to-end delay, packet delivery ratio, path duration, and so forth have been used to evaluate the performance of routing protocols in VANETs. Among these routing metrics, path duration is one of the most influential metrics. Highly mobile vehicles cause frequent topology change in vehicular network environment that ultimately affects the path duration. In this paper, we have derived a mathematical model to estimate path duration using border node-based most forward progress within radius (B-MFR), a position based routing protocol. The mathematical model for estimation of path duration consists of probability of finding next-hop node in forwarding region, estimation of expected number of hops, probability distribution of velocity of nodes, and link duration between each intermediate pair of nodes. The analytical results for the path duration estimation model have been obtained using MATLAB. The model for path duration estimation has been simulated in NS2. Each of the analytical results has been verified through respective simulation results. The result analysis clearly reveals that path duration increases with the increase in transmission range and node density and decreases with the increase in the number of hops in the path and velocity of the nodes.

scholarly journals FORMULATION OF MATHEMATICAL MODEL FOR PRODUCTION TURNOVER OF BIODIESEL PLANT BASED ON DIMENSIONAL ANALYSIS AND MULTIPLE REGRESSION

2012 ◽  
pp. 268-276
Author(s):  
ASHWIN S. CHATPALLIWAR ◽  
DR. VISHWAS S. DESHPANDE ◽  
DR. JAYANT P. MODAK ◽  
DR. NILESHSINGH V. THAKUR
Keyword(s):  
Mathematical Model ◽  
Multiple Regression ◽  
Dimensional Analysis ◽  
Least Square Method ◽  
Least Square ◽  
Design Data ◽  
Dimensionless Equation ◽  
Set Up ◽  
The Mathematical Model ◽  
Data Design

This paper presents the approach for the mathematical modeling of production turnover for the set up of new Biodiesel plant based on the dimensional analysis and multiple regression. Presented production turnover mathematical model is derived based on the generated design data. Design data is generated from the estimated design data. Estimation of design data is carried out based on the assumed plant layouts of different capacities. Dimensional analysis is used to make the independent and dependent variables dimensionless and to get dimensionless equation. Later, multiple regression analysis is applied to this dimensionless equation to obtain the index values based on the least square method. The mathematical model of production turnover is formulated using these obtained index values. Finally, the formulated model is evaluated on the basis of correlation and root mean square error between the computed values by model and the estimated values.

scholarly journals Aplicación de la ingeniería kansei con redes neuronales

2015 ◽  
Vol 1 (1) ◽  
pp. 7
Author(s):  
Gerardo Avendaño Prieto ◽  
Héctor René Álvarez L.
Keyword(s):  
Neural Networks ◽  
Mathematical Model ◽  
Factor Analysis ◽  
Regression Model ◽  
Multiple Regression ◽  
Multiple Regression Model ◽  
Kansei Engineering ◽  
Statistical Assumptions ◽  
The Mathematical Model

ONTARE. REVISTA DE INVESTIGACIÓN DE LA FACULTAD DE INGENIERÍALa Ingeniería Kansei, relaciona las emociones que sienten los consumidores con las características y propiedades que poseen los productos a través de la estimación de un modelo matemático, que permite establecer cuáles tienen mayor relación con las emociones, permitiendo al diseñador, incorporarlas con el fin de activar los factores que las intensifican y dar soluciones efectivas de diseño.Tradicionalmente, la formulación y estimación del modelo matemático, se hace través de un modelo de regresión múltiple (QT1) y análisis factorial; sin embargo, una de las desventajas es que está condicionado a cumplir los supuestos del modelo. En este trabajo, se muestra cómo las redes neuronales se pueden aplicar en los estudios de Ingeniería Kansei y nos  da resultados similares, permitiendo que se puedan utilizar cuando no se cumplen los supuestos estadísticos. ABSTRACT Kansei Engineering (emotions) relates that consumers fee/ with features and properties that have the products through the estimation of a mathematical model, which allows for properties which are high relative to the emotions, al/owing the designer incorporate these relations to activate factors which enhance the Kansei design and give effective solutions. Traditionally the development of the mathematical model and estimation is done through a multiple regression model (QT1) and factor analysis, one of the disadvantages of the estimation of this model is that is conditioned to meet the model assumptions. This paper shows how neural networks can be applied in studies of Kansei Engineering and gives similar results, allowing for use when no statistical assumptions are met.

scholarly journals Application of Fractional-Order Calculus to Improve the Mathematical Model of a Two-Mass System with a Long Shaft

Energies ◽  
2021 ◽  
Vol 14 (7) ◽  
pp. 1854
Author(s):  
Andriy Lozynskyy ◽  
Andriy Chaban ◽  
Tomasz Perzyński ◽  
Andrzej Szafraniec ◽  
Lidiia Kasha
Keyword(s):  
Mathematical Model ◽  
Fractional Order ◽  
Mass System ◽  
Electric Drives ◽  
Distributed Parameters ◽  
Time Space ◽  
Joint Coordinates ◽  
Sufficient Degree ◽  
Fractional Order Integrator ◽  
The Mathematical Model

Based on the general theory of fractional order derivatives and integrals, application of the Caputo–Fabrizio operator is analyzed to improve a mathematical model of a two-mass system with a long shaft and concentrated parameters. Thus, the real transmission of complex electric drives, which consist of long shafts with a sufficient degree of adequacy, is presented as a two-mass system. Such a system is described by ordinary fractional order differential equations. In addition, it is well known that an elastic mechanical wave, propagating along a drive transmission with a long stiff shaft, creates a retardation effect on distribution of the time–space angular velocity, the rotation angle of the shaft, and its elastic moment. The approach proposed in the current work helps to take in account the moving elastic wave along the shaft of electric drive mechanism. On this basis, it is demonstrated that the use of the fractional order integrator in the model for the elastic moment enables it to reproduce real transient processes in the joint coordinates of the system. It also provides an accuracy equivalent to the model with distributed parameters. The distance between the traditional model and the model in which the fractional integral is used for the elastic moment modelling in a two-mass system, with a long shaft, is analyzed.

scholarly journals Modified Three-Dimensional Multicarrier Optical Prime Codes

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Rajesh Yadav ◽  
Gurjit Kaur
Keyword(s):  
Mathematical Model ◽  
Cross Correlation ◽  
Three Dimensional ◽  
Prime Numbers ◽  
Time Space ◽  
Proposed Model ◽  
Prime Sequence ◽  
The Mathematical Model ◽  
Prime Codes

We propose a mathematical model for novel three-dimensional multicarrier optical codes in terms of wavelength/time/space based on the prime sequence algorithm. The proposed model has been extensively simulated on MATLAB for prime numbers (P) to analyze the performance of code in terms of autocorrelation and cross-correlation. The simulated outcome resembles the mathematical model and gives better results over other methods available in the literature as far as autocorrelation and cross-correlation are concerned. The proposed 3D optical codes are more efficient in terms of cardinality, improved security, and providing quality of services.

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.

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