Pub Date : 1900-01-01DOI: 10.13189/UJAM.2016.040301
A. Abouammoh, A. M. Alshangiti
This paper introduces a new probability model that is the modified generalized inverted exponential distribution. This new probability model is a generalization of the well-known inverted exponential distribution as a special case. Statistical and reliability properties of the modified version are derived. Shapes for the probability density function, reliability function and failure rate function are shown with graphical illustration. The truncated distribution is studied in details. Further, estimation by the method of maximum likelihood is discussed through numerical simulation. Finally, a real data set is used where the proposed model fits better than the generalized inverted exponential distribution and the asymptotic confidence interval is given.
{"title":"The Modified Generalized Inverted Exponential Distribution","authors":"A. Abouammoh, A. M. Alshangiti","doi":"10.13189/UJAM.2016.040301","DOIUrl":"https://doi.org/10.13189/UJAM.2016.040301","url":null,"abstract":"This paper introduces a new probability model that is the modified generalized inverted exponential distribution. This new probability model is a generalization of the well-known inverted exponential distribution as a special case. Statistical and reliability properties of the modified version are derived. Shapes for the probability density function, reliability function and failure rate function are shown with graphical illustration. The truncated distribution is studied in details. Further, estimation by the method of maximum likelihood is discussed through numerical simulation. Finally, a real data set is used where the proposed model fits better than the generalized inverted exponential distribution and the asymptotic confidence interval is given.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126563421","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.13189/UJAM.2014.020102
B. Satyanarayana, N. Srimannarayana, Y. Kumar
In (10) we defined and studied a class of generalized hypergeometric functions (, ) (, , ) n B x y w αβ . In this paper an attempt has been made to obtain some bilateral generating relations with (, ) (, , ) n B x y w αβ . Each result is
在(10)中，我们定义并研究了一类广义超几何函数(，)(，，)n B x y w αβ。本文试图得到与(，)(，，)n B x y w αβ的一些双边生成关系。每个结果是
{"title":"Certain Bilateral Generating Relations for a Class of Generalized Hypergeometric Functions of Two Variables","authors":"B. Satyanarayana, N. Srimannarayana, Y. Kumar","doi":"10.13189/UJAM.2014.020102","DOIUrl":"https://doi.org/10.13189/UJAM.2014.020102","url":null,"abstract":"In (10) we defined and studied a class of generalized hypergeometric functions (, ) (, , ) n B x y w αβ . In this paper an attempt has been made to obtain some bilateral generating relations with (, ) (, , ) n B x y w αβ . Each result is","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"107 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124993318","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.13189/UJAM.2015.030301
V. Meshkoff
It is known, that any prime number has presentation in linear and quadratic forms. These properties may be used for finding class subsets of prime numbers. For that it is showed, that all prime numbers simple quadratic forms consist of 22 , 1, 2, 3 a mb m += ± . On these grounds it is examination for variants of prime numbers classification. It is discovered eight non-intersecting subsets of prime numbers, in conformity with equivalence classes modulo 24. The proposed classification is used for analyses Mersenne and Fermat numbers and composite numbers.
{"title":"Prime Numbers Classification with Linear and Quadratic Forms","authors":"V. Meshkoff","doi":"10.13189/UJAM.2015.030301","DOIUrl":"https://doi.org/10.13189/UJAM.2015.030301","url":null,"abstract":"It is known, that any prime number has presentation in linear and quadratic forms. These properties may be used for finding class subsets of prime numbers. For that it is showed, that all prime numbers simple quadratic forms consist of 22 , 1, 2, 3 a mb m += ± . On these grounds it is examination for variants of prime numbers classification. It is discovered eight non-intersecting subsets of prime numbers, in conformity with equivalence classes modulo 24. The proposed classification is used for analyses Mersenne and Fermat numbers and composite numbers.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131286695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.13189/UJAM.2016.040101
Nyamugure Philimon, Maphosa Muchaona, M. Lesaoana
This paper analysed activities undertaken in optimizing locomotive utilisation at National Railways of Zimbabwe (NRZ). Failure to attain breakeven and meet set targets is associated with underutilising resource capacity. The identified locomotive constraints in this paper do not have a linear relationship hence the application of nonlinear programming in formulating the Locomotive Optimization Model (LOM). The objective function in the model is to maximize the quantity of traffic moved by a given number of locomotives available for use which consequently converts to revenue generated. The model results show a failure by NRZ to meet breakeven targets in the year 2013. Different model scenarios are formulated using attainable locomotive figures and it is observed in the model scenario B where a 15% increase in speed, trailing load and availability of locomotives will results in attainment of breakeven targets.
{"title":"Application of Non Linear Programming to Locomotive Optimisation: A Case Study of National Railway of Zimbabwe","authors":"Nyamugure Philimon, Maphosa Muchaona, M. Lesaoana","doi":"10.13189/UJAM.2016.040101","DOIUrl":"https://doi.org/10.13189/UJAM.2016.040101","url":null,"abstract":"This paper analysed activities undertaken in optimizing locomotive utilisation at National Railways of Zimbabwe (NRZ). Failure to attain breakeven and meet set targets is associated with underutilising resource capacity. The identified locomotive constraints in this paper do not have a linear relationship hence the application of nonlinear programming in formulating the Locomotive Optimization Model (LOM). The objective function in the model is to maximize the quantity of traffic moved by a given number of locomotives available for use which consequently converts to revenue generated. The model results show a failure by NRZ to meet breakeven targets in the year 2013. Different model scenarios are formulated using attainable locomotive figures and it is observed in the model scenario B where a 15% increase in speed, trailing load and availability of locomotives will results in attainment of breakeven targets.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"89 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114134879","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.13189/UJAM.2014.020302
N. Nyor, J. Omolehin, K. Rauf
The objective of the study was to allocate the available buses of the transport authority to the authority's service intra and inter states routes in a manner that will yield optimum profit, taking all the constraints into consideration. The problem was modeled using Linear Programming (LP) and the TORA - computer software result yielded a maximum objective value of N897, 214 per day after 20 iterations, which is a better result compared to the current intuitive schedule by the authority that yields N766, 046 per day.
{"title":"Application of Linear Programming in Modeling the Allocation of Buses to Routes in a Transport Service Authority","authors":"N. Nyor, J. Omolehin, K. Rauf","doi":"10.13189/UJAM.2014.020302","DOIUrl":"https://doi.org/10.13189/UJAM.2014.020302","url":null,"abstract":"The objective of the study was to allocate the available buses of the transport authority to the authority's service intra and inter states routes in a manner that will yield optimum profit, taking all the constraints into consideration. The problem was modeled using Linear Programming (LP) and the TORA - computer software result yielded a maximum objective value of N897, 214 per day after 20 iterations, which is a better result compared to the current intuitive schedule by the authority that yields N766, 046 per day.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121660363","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this work we defined the stress-strain state of anisotropic (transversely-isotropic) formation at a liquid filtration in it. There were established connection between voltage of formation and pressure of are filtrated. Numerical solution of the problem was received based on the finite element method with application of an isoparametric element of the first order.
{"title":"Finite-Element Model of Filtration Liquid to a Well in a Deformable Formation","authors":"Azhikhanov Nurlan, Zhunisov Nurseit, Marasulov Usen","doi":"10.13189/UJAM.2014.020501","DOIUrl":"https://doi.org/10.13189/UJAM.2014.020501","url":null,"abstract":"In this work we defined the stress-strain state of anisotropic (transversely-isotropic) formation at a liquid filtration in it. There were established connection between voltage of formation and pressure of are filtrated. Numerical solution of the problem was received based on the finite element method with application of an isoparametric element of the first order.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122133291","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.13189/UJAM.2015.030202
K. Samanta, B. Samanta
In this article, we have obtained some novel results on bilateral generating functions of the polynomials, , a modified form of Konhauser biorthogonal polynomials, by group-theoretic method. As special cases, we obtain the corresponding results on Laguerre polynomials, . Some applications of our results are also discussed.
{"title":"On Bilateral Generating Functions of Konhauser Biorthogonal Polynomials","authors":"K. Samanta, B. Samanta","doi":"10.13189/UJAM.2015.030202","DOIUrl":"https://doi.org/10.13189/UJAM.2015.030202","url":null,"abstract":"In this article, we have obtained some novel results on bilateral generating functions of the polynomials, , a modified form of Konhauser biorthogonal polynomials, by group-theoretic method. As special cases, we obtain the corresponding results on Laguerre polynomials, . Some applications of our results are also discussed.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131138213","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.13189/UJAM.2013.010402
S. Abubakar, N. I. Akinwande, S. Abdulrahman, F. Oguntolu
In this paper we proposed a Mathematical model of Measles disease dynamics. The Disease Free Equilibrium (DFE) state, Endemic Equilibrium (EE) states and the characteristic equation of the model were obtained. The condition for the stability of the Disease Free equilibrium state was obtained. We analyze the bifurcation of the Disease Free Equilibrium (DFE) and the result of the analysis was presented in a tabular form.
{"title":"Bifurcation Analysis on the Mathematical Model of Measles Disease Dynamics","authors":"S. Abubakar, N. I. Akinwande, S. Abdulrahman, F. Oguntolu","doi":"10.13189/UJAM.2013.010402","DOIUrl":"https://doi.org/10.13189/UJAM.2013.010402","url":null,"abstract":"In this paper we proposed a Mathematical model of Measles disease dynamics. The Disease Free Equilibrium (DFE) state, Endemic Equilibrium (EE) states and the characteristic equation of the model were obtained. The condition for the stability of the Disease Free equilibrium state was obtained. We analyze the bifurcation of the Disease Free Equilibrium (DFE) and the result of the analysis was presented in a tabular form.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127695618","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.13189/UJAM.2014.020109
B. Achchab, A. Agouzal, N. Debit, K. Bouihat
In this paper, we derive an a posteriori error estimator, for nonconforming finite element approxi- mation of convection-diffusion equation. The a posteriori error estimator is based on the local problems on stars. Finally, we prove the reliability and the efficiency of the estimator without saturation assumption nor comparison with residual estimator
{"title":"Star-based a Posteriori Error Estimator for Convection Diffusion Problems","authors":"B. Achchab, A. Agouzal, N. Debit, K. Bouihat","doi":"10.13189/UJAM.2014.020109","DOIUrl":"https://doi.org/10.13189/UJAM.2014.020109","url":null,"abstract":"In this paper, we derive an a posteriori error estimator, for nonconforming finite element approxi- mation of convection-diffusion equation. The a posteriori error estimator is based on the local problems on stars. Finally, we prove the reliability and the efficiency of the estimator without saturation assumption nor comparison with residual estimator","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134208677","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.13189/UJAM.2015.030302
M. Sarboland, A. Aminataei
This paper's purpose is to provide a numerical scheme to approximate solutions of the nonlinear Klein-Gordon equation by applying the multiquadric quasi-interpolation scheme and the integrated radial basis function network scheme. Our scheme uses θ-weighted scheme for discretization of the temporal derivative and the integrated form of the multiquadric quasi-interpolation scheme for approximation of the unknown function and its spatial derivative. To confirm the accuracy and ability of the presented scheme, this scheme is applied on some test experiments and the numerical results have been compared with the exact solutions. Furthermore, it should be emphasized that with the presently available computing power, it has become possible to develop realistic mathematical models for the complicated problems in science and engineering. The mathematical description of various processes such as the nonlinear Klein-Gordon equation occurring in mathematical physics leads to a nonlinear partial differential equation. However, the mathematical model is only the first step towards the solution of the problem under consideration. The development of the well-documented, robust and reliable numerical tech- nique for handing the mathematical model under consideration is the next step in the solution of the problem. This second step is at least as important as the first one. Therefore, the robustness, the efficiency and the reliability of the numerical technique have to be checked carefully.
{"title":"Numerical Solution of the Nonlinear Klein-Gordon Equation Using Multiquadric Quasi-interpolation Scheme","authors":"M. Sarboland, A. Aminataei","doi":"10.13189/UJAM.2015.030302","DOIUrl":"https://doi.org/10.13189/UJAM.2015.030302","url":null,"abstract":"This paper's purpose is to provide a numerical scheme to approximate solutions of the nonlinear Klein-Gordon equation by applying the multiquadric quasi-interpolation scheme and the integrated radial basis function network scheme. Our scheme uses θ-weighted scheme for discretization of the temporal derivative and the integrated form of the multiquadric quasi-interpolation scheme for approximation of the unknown function and its spatial derivative. To confirm the accuracy and ability of the presented scheme, this scheme is applied on some test experiments and the numerical results have been compared with the exact solutions. Furthermore, it should be emphasized that with the presently available computing power, it has become possible to develop realistic mathematical models for the complicated problems in science and engineering. The mathematical description of various processes such as the nonlinear Klein-Gordon equation occurring in mathematical physics leads to a nonlinear partial differential equation. However, the mathematical model is only the first step towards the solution of the problem under consideration. The development of the well-documented, robust and reliable numerical tech- nique for handing the mathematical model under consideration is the next step in the solution of the problem. This second step is at least as important as the first one. Therefore, the robustness, the efficiency and the reliability of the numerical technique have to be checked carefully.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"52 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132983530","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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