WSEAS Transactions on Mathematics最新文献_第7页

Some Inequalities over the Eigenvalues of a Strongly Regular Graph 关于强正则图特征值的一些不等式

WSEAS Transactions on Mathematics Pub Date : 2023-07-14 DOI: 10.37394/23206.2023.22.55

L. Vieira

引用次数: 0

Some Complexity Considerations on the Uniqueness of Graph Colouring 关于图着色唯一性的一些复杂性考虑

WSEAS Transactions on Mathematics Pub Date : 2023-07-05 DOI: 10.37394/23206.2023.22.54

O. Hudry, A. Lobstein

引用次数: 0

Application of Splines of the Seventh Order Approximation to the Solution of the Fredholm Integral Equations with Weekly Singularity 七阶逼近样条在Fredholm周奇点积分方程解中的应用

WSEAS Transactions on Mathematics Pub Date : 2023-06-28 DOI: 10.37394/23206.2023.22.53

I. Burova, G. O. Alcybeev

引用次数: 0

Novel Exact Traveling Wave Solutions for Nonlinear Wave Equations with Beta-Derivatives via the sine-Gordon Expansion Method 用sine-Gordon展开法求解具有Beta导数的非线性波动方程的新的精确行波解

WSEAS Transactions on Mathematics Pub Date : 2023-06-02 DOI: 10.37394/23206.2023.22.50

Thitthita Iatkliang, Supaporn Kaewta, N. Tuan, S. Sirisubtawee

{"title":"Novel Exact Traveling Wave Solutions for Nonlinear Wave Equations with Beta-Derivatives via the sine-Gordon Expansion Method","authors":"Thitthita Iatkliang, Supaporn Kaewta, N. Tuan, S. Sirisubtawee","doi":"10.37394/23206.2023.22.50","DOIUrl":"https://doi.org/10.37394/23206.2023.22.50","url":null,"abstract":"The main objectives of this research are to use the sine-Gordon expansion method (SGEM) along with the use of appropriate traveling transformations to extract new exact solitary wave solutions of the (2 + 1)- dimensional breaking soliton equation and the generalized Hirota-Satsuma coupled Korteweg de Vries (KdV) system equipped with beta partial derivatives. Using the chain rule, we convert the proposed nonlinear problems into nonlinear ordinary differential equations with integer orders. There is then no further demand for any normalization or discretization in the calculation process. The exact explicit solutions to the problems obtained with the SGEM are written in terms of hyperbolic functions. The exact solutions are new and published here for the first time. The effects of varying the fractional order of the beta-derivatives are studied through numerical simulations. 3D, 2D, and contour plots of solutions are shown for a range of values of fractional orders. As parameter values are changed, we can identify a kink-type solution, a bell-shaped solitary wave solution, and an anti-bell shaped soliton solution. All of the solutions have been carefully checked for correctness and could be very important for understanding nonlinear phenomena in beta partial differential equation models for systems involving the interaction of a Riemann wave with a long wave and interactions of two long waves with distinct dispersion relations.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47235799","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 Exponential Growth of Solution, Upper and Lower Bounds for the Blow-Up Time for a Viscoelastic Wave Equation with Variable- Exponent Nonlinearities 变指数非线性粘弹性波动方程解的指数增长及其爆破时间的上下限

WSEAS Transactions on Mathematics Pub Date : 2023-06-02 DOI: 10.37394/23206.2023.22.51

Soufiane Benkouider, Abita Rahmoune

引用次数: 0

Kumarswamy Truncated Lomax Distribution with Applications Kumarswamy截断Lomax分布及其应用

WSEAS Transactions on Mathematics Pub Date : 2023-05-25 DOI: 10.37394/23206.2023.22.49

Manal H. Alabdulhadi

引用次数: 0

Optimal Statistical Estimation and Dynamic Adaptive Control of Airline Seat Protection Levels for Several Nested Fare Classes under Parametric Uncertainty of Customer Demand Models 客户需求模型参数不确定性下多级嵌套舱位保护水平的最优统计估计与动态自适应控制

WSEAS Transactions on Mathematics Pub Date : 2023-05-25 DOI: 10.37394/23206.2023.22.47

N. Nechval, G. Berzins, K. Nechval

{"title":"Optimal Statistical Estimation and Dynamic Adaptive Control of Airline Seat Protection Levels for Several Nested Fare Classes under Parametric Uncertainty of Customer Demand Models","authors":"N. Nechval, G. Berzins, K. Nechval","doi":"10.37394/23206.2023.22.47","DOIUrl":"https://doi.org/10.37394/23206.2023.22.47","url":null,"abstract":"Assigning seats in the same compartment to different fare classes of passengers is a major problem of airline seat allocation. Airlines sell the same seat at different prices according to the time at which the reservation is made and other conditions. Thus the same seat can be sold at different prices. The problem is to find an optimal policy that maximizes total expected revenue. To solve the above problem, this paper presents the novel computational approach to optimization and dynamic adaptive prediction of airline seat protection levels for multiple nested fare classes of single-leg flights under parametric uncertainty. It is assumed that time T (before the flight is scheduled to depart) is divided into h periods, namely a full fare period and h-1 discounted fare periods. The fare structure is given. An airplane has a seat capacity of N. For the sake of simplicity, but without loss of generality, we consider (for illustration) the case of nonstop flight with two fare classes (business and economy). The proposed airline's inventory management policy is based on the use of the proposed computational models. These models emphasize pivotal quantities and ancillary statistics relevant for obtaining statistical predictive limits for anticipated quantities under parametric uncertainty and are applicable whenever the statistical problem is invariant under a group of transformations that acts transitively on the parameter space. The proposed technique is based on a probability transformation and pivotal quantity averaging. It is conceptually simple and easy to use. Finally, we give illustrative examples, where the proposed analytical methodology is illustrated in terms of the two-parameter exponential distribution. Applications to other log-location-scale distributions could follow directly.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47565640","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

The Application of Splines of the Seventh Order Approximation to the Solution of Integral Fredholm Equations 七阶逼近样条在积分Fredholm方程解中的应用

WSEAS Transactions on Mathematics Pub Date : 2023-05-25 DOI: 10.37394/23206.2023.22.48

I. Burova, G. O. Alcybeev

引用次数: 1

A Special Note on the Logistic Functions with Complex Parameters and Some of Related Implications 关于复参数Logistic函数及其相关意义的特别说明

WSEAS Transactions on Mathematics Pub Date : 2023-05-22 DOI: 10.37394/23206.2023.22.46

H. Irmak

引用次数: 0

Bootstrap Confidence Intervals for the Parameter of the Poisson-Prakaamy Distribution with Their Applications Poisson Prakaamy分布参数的Bootstrap置信区间及其应用

WSEAS Transactions on Mathematics Pub Date : 2023-05-22 DOI: 10.37394/23206.2023.22.45

W. Panichkitkosolkul

{"title":"Bootstrap Confidence Intervals for the Parameter of the Poisson-Prakaamy Distribution with Their Applications","authors":"W. Panichkitkosolkul","doi":"10.37394/23206.2023.22.45","DOIUrl":"https://doi.org/10.37394/23206.2023.22.45","url":null,"abstract":"Poisson-Prakaamy distribution has been proposed for count data, which is of primary interest in several fields, such as biological science, medical science, demography, ecology, and genetics. However, estimating the bootstrap confidence intervals for its parameter has not yet been examined. In this study, bootstrap confidence interval estimation based on the percentile, basic, biased-corrected, and accelerated bootstrap methods were examined in terms of their coverage probabilities and average lengths via Monte Carlo simulation. The results indicate that attaining the nominal confidence level using the bootstrap confidence intervals was not possible for small sample sizes regardless of the other settings. Moreover, when the sample size was large, the performances of the bootstrap confidence intervals were not substantially different. Overall, the bias-corrected and accelerated bootstrap confidence interval outperformed the others for all of the cases studied. Lastly, the efficacies of the bootstrap confidence intervals were illustrated by applying them to two real data sets, the results of which match those from the simulation study.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43994869","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