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Subsurface Hydrology. Antonio Cenedese Search for more papers by this author. Paolo Viotti Search for more papers by this author.

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Convection, Diffusion and Reaction in Random Materials and Processes

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Journal list menu Journal. Log in with your society membership Log in with AGU. Email or Customer ID. Forgot password? Old Password. Several analytical models were proposed to analyse the behaviour of TCP congestion control mechanisms. However, most of these models were designed for a few TCP sessions with non-persistent connections. A few analytical studies were presented for modelling persistent TCP connections.

Heat & Mass Transfer - Diffusion/Convection Equation

Nevertheless, these studies have many limiting assumptions and are not scalable. In this work, a stochastic reward nets model is introduced for the TCP Reno with persistent TCP connections, which share two bottleneck links in a wide area network. A microscopic approach was used for constructing the proposed model that captures most features of congestion control mechanisms used by the TCP Reno, and interactions between different TCP sessions.

The proposed model relaxed several limiting assumptions adopted by other related models introduced in the literature. To validate the proposed model, analytical results are extensively compared with simulation results. A novel aspect of this model is the consideration of risk equity using standard deviation, an established computation to assess equity.

To solve the model, a two-phase method is developed, in which the multi-objective shortest path algorithm is used to obtain the alternative Pareto-optimal paths set, and get the routes using estimation of distribution algorithm after paths choice.

Lattice BGK Models for Navier-Stokes Equation

We then present a test problem of hazmat shipment with consideration of risk equity and discuss computational results. Keywords : hazmat shipments; vehicle routing problem; risk equity; transportation network; multi-objective shortest path; estimation of distribution algorithm. Entropy, similarity, distance, inclusion and cross entropy measures are few methods used for measuring uncertainty and classifying interval-valued intuitionistic fuzzy sets.

This paper presents generalized entropy measure for interval-valued intuitionistic fuzzy sets and relation is established that can be used to define generalized similarity measures using the proposed entropy measure. Further, the proposed entropy measure is compared with some existing measure of entropy with the help of an illustrative example and lastly we demonstrated how the proposed measure can be used in decision making. Keywords : interval-valued intuitionistic fuzzy sets; generalized entropy measure; generalized similarity measure.

In the proposed algorithm, we incorporate the uncertainty in Kruskal's algorithm for MST using fuzzy number as arc length. The concept of possibility programming is used to compare between the fuzzy number i.

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We also investigate the robust version of the FMST problem. We define two measures for robustness of an FMST: absolute robustness and relative robustness. We characterize the fuzzy worst case scenarios for a given fuzzy spanning tree for both the measures. An example of fuzzy graph is used to illustrate the effectiveness of the proposed methods.

Turbulent mixing and chemical reaction; the multi-fluid approach

Keywords : possibility programming; robust spanning tree; Kruskal's algorithm; minimum spanning tree; triangular fuzzy number; trapezoidal fuzzy number; fuzzy graph; fuzzy minimum spanning tree; absolute fuzzy robust spanning tree; relative fuzzy robust spanning tree. DOI: Fractional derivative is described in the Caputo sense. Operational matrix of fractional differential of shifted Jacobi polynomials is stated. This matrix together with the tau method and collocation method are utilized to reduce the linear and nonlinear fractional differential equations to a system of algebraic equations, respectively.

The purpose of this paper is to make a comparison between this simple method and other existing methods to show the performance and preciseness of the presented method. Due to this, we used this technique for some illustrative numerical tests which the results demonstrate the validity and efficiency of the method.

Keywords : Fractional-order differential equation; Operational matrix; Jacobi polynomials; Spectral method; Caputo derivative. The empirical result shows accurate fits which means the model applied characterizes DAX appropriately. As a result, the coefficients of the model meaningfully determine the movement of DAX. After examining the coefficients, unusual changes of the coefficients as a sign of approaching fluctuations in DAX prices display right before the announcement of bankruptcy of Lehman Brothers.

In this way, we provide an instrument to detect the prompt structural changes and risks of the financial market. Keywords : ordinary differential equation; nonlinear dynamic system; parabola approximation; stock index; DAX; Deutscher Aktienindex; financial crisis. This method is based on the property of the rows of modified finite differences that the best cubic approximation is in the range of convexity. Numerical results show significant advantages of the proposed method in comparison with approaches to extrapolate, based on the use of polynomials, including Newtons extrapolation.

Keywords : time series; extrapolation; forecasting; Newton - Gregory backward difference formula; finite differences; short time series. The kernel functions are a basic ingredient in Support Vector Machine theory. Kernels based on the concepts of orthogonal polynomials gave great satisfaction in practice. In this paper we identify the Reproducing Kernel Hilbert Space of Legendre polynomial kernel which allows us to understand its ability to extract more discriminative features. We also show that without being a universal kernel, Legendre kernel possesses the same separation properties.

The Legendre, Gaussian and polynomial kernel performance has been first evaluated on two dimensional illustrative examples in order to give a graphical comparison, then on real world data sets from UCI repository. For non linearly separable data, Legendre kernel always gives satisfaction regarding classification accuracy and reduction in the number of support vectors.

The paper provides an algorithim for the evaluation of fuzzy reliability of the proposed system based on application of universal generating function and fuzzy exponential distribution. It is assumed in the study that failure rate follows generalized symmetric trapezoidal fuzzy number in fuzzy exponential distribution.

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Further, generalized symmetric trapezoidal fuzzy number and its arithmetic operations are defined. Fuzzy mean time to failure and Brinbaum system fuzzy reliability importance is also calculated. A numerical example is also presented to illustrate the proposed approach. Keywords : System fuzzy reliability; universal generating function; linear m-consecutive k-out-of-r-from-n: F systems; linear m-consecutive weighted-k-out-of-r-from-n: F systems; Fuzzy mean time to failure; Brinbaum fuzzy reliability importance.

We separately discuss the fully observable and fully unobservable cases. For each of case, we acquire the related equilibrium balking strategies of customers and the expected social benefits per time unit. Finally, we obtain some numerical examples to illustrate the effect of several parameters on the equilibrium and optimal strategy. With the bilingual attribute of entries in dictionary, this method first maps the words expressing same semantic meaning to the concept abstract layer, then group concepts into the same topic space.

Finally, documents in different languages will share the same latent topics. The same topics can be represented in both Chinese and Khmer jointly when given a bilingual corpus by the introduction of the concept layer.