1,720,971 research outputs found
Analysis of a Finite Buffer General Input Queue with Markovian Service Process and Accessible and Non-Accessible Batch Service
No full textQueues with Markovian service process (MSP) are mainly useful in modeling and performance analysis of telecommunication networks based on asynchronous transfer mode (ATM) environment. This paper analyzes a finite buffer single server batch service (a, b) queue with general input and Markovian service process (MSP). The server accesses new arrivals even after service has started on any batch of initial number a. This operation continues till the service time of the ongoing batch is completed or the maximum accessible capacity d (a d < b) of the batch being served is attained whichever occurs first. Using the embedded Markov chain technique and the supplementary variable technique we obtain the steady state queue length distributions at pre- arrival and arbitrary epochs. The primary focus is on the various performance measures of the steady state distribution of the batch service, special cases and also on numerical illustrations
General solution of the generalized burger-fisher equation using the improved ( / ) g’ g -expansion method.
No full textThe main purpose of this study was to construct more general solution and to find some new exact traveling wave solutions of the Generalized Burger-Fisher's equation. To achieve this purpose, the improved G G -expansion method was proposed to construct more general solution and exact traveling wave solutions of Burger-Fisher's equation .As a result, more general solution was constructed with free parameters as compared to the solution obtained in the existing literature Abdollah Boharfani and Reza Abazari [3]; moreover, some exact traveling wave solutions in terms of hyperbolic, trigonometric and rational functions were found which were not obtained in the work of Abdollah Boharfani and Reza Abazari [3]. The study outlined that the improved G G -expansion method is very effective, simple and a powerful mathematical tool for finding exact traveling wave solutions of the Generalized BurgerFisher's equation. Therefore, it was concluded that the proposed method can be applied to find exact traveling wave solutions of nonlinear partial differential equations (which are nonlinear evolution equations) which can arise in physics, engineering science, and other related areas
Renewal input infinite buffer batch service queue with single exponential working vacation and accessibility to batches
No full textThis paper considers an infinite buffer single server batch service queue with single exponential working vacation policy. The inter-arrival times are generally independent and identically distributed random variables and the service times are exponential. The server accesses new arrivals even after service has started on any batch of initial number a. This operation continues till the service time of the ongoing batch is completed or the maximum accessible limit d of the batch being served is attained whichever occurs first. The supplementary variable technique and the recursive method are used to develop the steady-state queue length distributions at pre-arrival and arbitrary epochs. Some performance measures and numerical results are discussed. Keywords: accessible batch; non-accessible batch; supplementary variable; batch service; single vacation; working vacation
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
Get PDF“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
Appropriate Similarity Measures for Author Cocitation Analysis
Get PDFWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
Conformable Reduced Differential Transform Method for Fractional Allen Cahn Equation
No full textIn this manuscript, the Conformable Reduced Differential Transform Method was applied to
obtain an approximate analytical solution of one dimensional time fractional Allen-Cahn
equation subject to initial condition. This method provides an approximate analytical
solution in the form of a convergent series. The scheme was tested through supportive
examples and the obtained results were compared with previous works. Solutions were
presented in graphical form and results indicate that the Conformable Reduced Differential
Transform Method is more accurate, efficient, and convenient for solving one dimensional
time fractional Allen-Cahn equation
Conformable Reduced Differential Transform Method for Fractional Allen Cahn Equation
No full textIn this manuscript, the Conformable Reduced Differential Transform Method was applied to
obtain an approximate analytical solution of one dimensional time fractional Allen-Cahn
equation subject to initial condition. This method provides an approximate analytical
solution in the form of a convergent series. The scheme was tested through supportive
examples and the obtained results were compared with previous works. Solutions were
presented in graphical form and results indicate that the Conformable Reduced Differential
Transform Method is more accurate, efficient, and convenient for solving one dimensional
time fractional Allen-Cahn equation
Approximate Analytical Solutions to the One-Dimensional Fisher Equation Via Conformable Fractional Reduced Differential Transform Method
Get PDFIn many branches of science, such as population dynamics, ecology, and epidemic modeling, the
one-dimensional Fisher equation is very important. In this study, we recommend using the
conformable fractional reduced differential transform method (CFRDTM) to get approximate
analytical solutions for the one-dimensional Fisher equation. A strong mathematical method
known as the CFRDTM combines the benefits of the conformable fractional calculus and the
reduced differential transform method (RDTM). The conformable fractional calculus offers a more
accurate depiction of the underlying physical events while the RDTM makes it possible to convert
the original differential equation into a collection of algebraic equations. By employing the CFRDTM, we derive an approximate analytical solution for the one-dimensional Fisher equation. The
convergence of the approximate solutions are analyzed and compared with existing approximation
methods that exists in the literature. Furthermore, the proposed CFRDTM is validated through two
test examples. Overall, this research contributes to the development of efficient and accurate
analytical methods for obtaining approximate solutions to the one-dimensional Fisher equation and
related nonlinear partial differential equation
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