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Global Journal of Mathematical Sciences最新文献

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Time series modeling of daily abandoned calls in a call centre 呼叫中心每日放弃呼叫的时间序列建模
Global Journal of Mathematical Sciences Pub Date : 2011-08-23 DOI: 10.4314/GJMAS.V9I1.62505
F. Ugwuowo
{"title":"Time series modeling of daily abandoned calls in a call centre","authors":"F. Ugwuowo","doi":"10.4314/GJMAS.V9I1.62505","DOIUrl":"https://doi.org/10.4314/GJMAS.V9I1.62505","url":null,"abstract":"Models for evaluating and predicting the short periodic time series in daily abandoned calls in a call center are developed. Abandonment of calls due to impatient is an identified problem among most call centers. The two competing models were derived using Fourier series and the Box and Jenkins modeling approaches. The selected models were shown to be both  parsimonious and adequate using the P-P plots, Q-Q plots and residual analysis. In validating and comparing the models some efficiency measures were used with a view to determining the model which best represent the population under investigation. Fourier series model was found to be more efficient than Box and Jenkins model. The data for application were got from a GSM telephone provider. KEY WORDS : Call center; Tele-queue; abandoned calls; Fourier time series; Periodogram; Moving average, Autoregressive process","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122269314","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}
引用次数: 0
The use of entropy index for gender inequality analysis 熵指数在性别不平等分析中的应用
Global Journal of Mathematical Sciences Pub Date : 2011-08-23 DOI: 10.4314/GJMAS.V9I1.62497
V. Ekhosuehi, A. Osagiede
{"title":"The use of entropy index for gender inequality analysis","authors":"V. Ekhosuehi, A. Osagiede","doi":"10.4314/GJMAS.V9I1.62497","DOIUrl":"https://doi.org/10.4314/GJMAS.V9I1.62497","url":null,"abstract":"In the Millennium Declaration, the proportion (or ratio) of females to males in a given sector is used as the indicator for gender inequality. A critical limitation in the proportion (or ratio) statistic is that it does not include randomness in gender disparity over a period of time. It is well-known that randomness, which is a key ingredient in studying the behaviour of a system, is measured using entropy. This paper presents the use of entropy as an alternative measure for gender inequality in a sector of an economy. KEYWORDS: Entropy; gender inequality; Millennium Declaration; randomness.","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130926246","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}
引用次数: 3
On the determination of risk factors associated with the recovery of cataract patients 白内障患者康复相关危险因素的确定
Global Journal of Mathematical Sciences Pub Date : 2011-08-23 DOI: 10.4314/GJMAS.V9I1.62499
F. Ugwuowo, E. Udoumoh
{"title":"On the determination of risk factors associated with the recovery of cataract patients","authors":"F. Ugwuowo, E. Udoumoh","doi":"10.4314/GJMAS.V9I1.62499","DOIUrl":"https://doi.org/10.4314/GJMAS.V9I1.62499","url":null,"abstract":"Markov modeling approach is adapted in a multi-stage process involving acuity levels of patients. The multiple binary logistic regression models is used to identify some risk factors associated with the recovery process. Result shows that Blood pressure and Sugar in the blood form the significant risk factors associated with recovery. KEYWORDS : Recovery process; transition probability matrix, multiple logistic regression; risk factors; multi-stage process.","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129054629","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}
引用次数: 0
Application of single-linkage clustering method in the analysis of growth rate of gross domestic product (GDP) At 1990 Constant Basic Prices (Million Naira) 单链接聚类法在1990年不变基本价格(百万奈拉)下国内生产总值增长率分析中的应用
Global Journal of Mathematical Sciences Pub Date : 2010-04-16 DOI: 10.4314/GJMAS.V8I2.53751
C. E. Onwukwe, J. Ezeorah
{"title":"Application of single-linkage clustering method in the analysis of growth rate of gross domestic product (GDP) At 1990 Constant Basic Prices (Million Naira)","authors":"C. E. Onwukwe, J. Ezeorah","doi":"10.4314/GJMAS.V8I2.53751","DOIUrl":"https://doi.org/10.4314/GJMAS.V8I2.53751","url":null,"abstract":"Single-linkage is one of the methods in cluster analysis, which is used, for determining natural groupings in multi-variate data. Given a data set with one or more characteristics, singlelinkage system classifies the data into clusters so that they are as similar as possible within each cluster and as different as possible between clusters. The objective is to show the closeness or similarity in the growth rate of GDP. Using the MINITAB software the similarity of the growth rate of GDP and the similarity in the years of production were shown. KEYWORDS: Dendrogram, tree-diagram, nearest neighbour, single-linkage clustering, hierarchical clustering","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128717409","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}
引用次数: 3
Mathematical model for bird flu disease transmission with no bird migration 无鸟类迁徙时禽流感传播的数学模型
Global Journal of Mathematical Sciences Pub Date : 2010-04-16 DOI: 10.4314/GJMAS.V8I2.53749
S. Inyama
{"title":"Mathematical model for bird flu disease transmission with no bird migration","authors":"S. Inyama","doi":"10.4314/GJMAS.V8I2.53749","DOIUrl":"https://doi.org/10.4314/GJMAS.V8I2.53749","url":null,"abstract":"In this paper a mathematical model for the transmission dynamics of bird flu among birds and humans is presented. The model assumes that there is no migration of birds in the susceptible bird population immediately the disease starts. The model formulated is analyzed using dynamical systems theory . The analysis of the steady state and its stability show that the system will be stable if there is a bound on the growth (birth) of birds in the community (αB). This means that the disease will die out after enough time if there is a bound on the growth rate of birds. We also looked at the endemic flu state and showed that the disease will persist if there is a bound on the infection transition rate from birds to birds (βB). KEY WORDS: Mathematical model, bird – flu disease, transmission, steady state, stability","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130127202","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}
引用次数: 0
An algorithm for solving initial value problems of third order ordinary differential equations 求解三阶常微分方程初值问题的一种算法
Global Journal of Mathematical Sciences Pub Date : 2010-04-16 DOI: 10.4314/GJMAS.V8I2.53756
M. Udo, D. Awoyemi
{"title":"An algorithm for solving initial value problems of third order ordinary differential equations","authors":"M. Udo, D. Awoyemi","doi":"10.4314/GJMAS.V8I2.53756","DOIUrl":"https://doi.org/10.4314/GJMAS.V8I2.53756","url":null,"abstract":"We propose an implicit multi-step method for the solution of initial value problems (IVPs) of third order ordinary differential equations (ODE) which does not require reducing the ODE to first order before solving. The development of the method is based on collocation of the differential system and interpolation of the approximate solution at selected grid points. This generates a system of equations, which are then solved using Gaussian elimination method. Three predictors, each of order 5, are also proposed to calculate some starting values in the main method. Analysis of basic properties is considered to guarantee the accuracy of the method. The results for method of step length k = 5 when compared with that of step length k = 4 show a better level of accuracy. KEYWORD: Zero stable, third order IVPs, predictor method, step length.","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"83 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129455815","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}
引用次数: 2
On the choice of schools located outside the walkable neighbourhood of the household 关于选择位于家庭可步行社区以外的学校
Global Journal of Mathematical Sciences Pub Date : 2010-04-16 DOI: 10.4314/GJMAS.V8I2.53758
A. Osagiede, V. Ekhosuehi
{"title":"On the choice of schools located outside the walkable neighbourhood of the household","authors":"A. Osagiede, V. Ekhosuehi","doi":"10.4314/GJMAS.V8I2.53758","DOIUrl":"https://doi.org/10.4314/GJMAS.V8I2.53758","url":null,"abstract":"In this study, we consider a school choice problem and formulate it into a mathematical model, allowing it to be simplified and solved. The results obtained are useful for the household in making an objective choice of school for the child to be enrolled among several secondary schools located outside his walkable neighbourhood which best satisfies his budget constraint with emphasis on the most preferred travelling mode of a given type. KEYWORDS: School choice modelling; Lagrangian function; Stone’s utility function; Saturation point.","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131098493","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}
引用次数: 3
Preconditioning the modified conjugate gradient method 修正共轭梯度法的预处理
Global Journal of Mathematical Sciences Pub Date : 2010-04-16 DOI: 10.4314/gjmas.v8i2.53752
D. Omorogbe, A. Osagiede
{"title":"Preconditioning the modified conjugate gradient method","authors":"D. Omorogbe, A. Osagiede","doi":"10.4314/gjmas.v8i2.53752","DOIUrl":"https://doi.org/10.4314/gjmas.v8i2.53752","url":null,"abstract":"In this paper, the convergence analysis of the conventional conjugate Gradient method was reviewed. And the convergence analysis of the modified conjugate Gradient method was analysed with our extension on preconditioning the algorithm. Convergence of the algorithm is a function of the condition number of M-1A. Again, this work broadens our understanding that the modified CGM yields the exacts result after n-iterations, and further proves that the CGM algorithm is quicker if there are duplicated eigenvalues. Given infinite floating point precision, the number of iterations required to compute an exact solution is at most the number of distinct eigenvalues. It was discovered that the modified CGM algorithm converges more quickly when eigenvalues are clustered together than when they are irregularly distributed between a given interval. The effectiveness of a preconditioner is determined by the condition number of the matrix and occasionally by its clustering of eigenvalues. For large scale application, CGM should always be used with a pre-conditioner to improve convergence. KEYWORDS: Convergence, Conjugate Gradient, eigenvalue, preconditioning.","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130914188","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}
引用次数: 1
D-Optimality and D L -optimality criteria for incomplete block designs 不完全块设计的D-最优性和dl -最优性准则
Global Journal of Mathematical Sciences Pub Date : 2010-04-16 DOI: 10.4314/GJMAS.V8I2.53753
A. Oladugba, M. Madukaife
{"title":"D-Optimality and D L -optimality criteria for incomplete block designs","authors":"A. Oladugba, M. Madukaife","doi":"10.4314/GJMAS.V8I2.53753","DOIUrl":"https://doi.org/10.4314/GJMAS.V8I2.53753","url":null,"abstract":"The adequacy of an experimental design can be determined from the information matrix. The D-optimality criterion is based on the determinant of the information matrix M(ξ) (ξ is any design measure) of a design, that is it maximizes the determinant of the information matrix M(ξ) or, equivalently, minimizes the determinant of inverse of the information matrix M−1(ξ ) .There are cases where the information matrix M(ξ) of a design degenerates (that is, the determinant is zero). In this situation, we introduce the use of the loss of information matrix designated as L(ξ) matrix. The loss of information matrix L(ξ) is a symmetric positive definite matrix that has exactly the same diagonal elements as those of the information matrix M(ξ) and the off-diagonal elements lying between zero and one. D L -optimality criterion measures the determinant of the loss of information matrix.In this paper, we consider the correspondence between the D-and D L -optimality criteria, that is whether a D-optimal design is also D L -optimal, in a block or more than one block using a regular and irregular experimental region. An optimal design is selected with the aid of the combinatorial algorithm developed by Onukogu and Iwundu (2008). Breaking of ties existing in Doptimality criterion using the DL-optimality criterion is also considered. KEYWORDS: Loss of information; D L -optimality criterion; Incomplete block design; Regular and irregular experimental region","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130132769","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}
引用次数: 1
A semi-Markov model for the duration of stay in a non-homogenous academic manpower system 非同质学术人力系统中停留时间的半马尔可夫模型
Global Journal of Mathematical Sciences Pub Date : 2010-02-09 DOI: 10.4314/GJMAS.V8I1.50813
A. Udom
{"title":"A semi-Markov model for the duration of stay in a non-homogenous academic manpower system","authors":"A. Udom","doi":"10.4314/GJMAS.V8I1.50813","DOIUrl":"https://doi.org/10.4314/GJMAS.V8I1.50813","url":null,"abstract":"The semi-Markov approach to a non-homogenous manpower system is considered. The mean duration of stay in a grade and the total duration of stay in the system are obtained. A renewal type equation is developed and used in deriving the limiting distribution of the semi – Markov process. Empirical estimators of the semi-Markov parameters which are uniformly consistent and asymptotically normally distributed are used to obtain the average length of stay for the academic manpower of the University of Nigeria.","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114408103","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}
引用次数: 0
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