Current Issue : April - June Volume : 2015 Issue Number : 2 Articles : 6 Articles
The construction example of algebra system is to verify the existence of a complex algebra system, and it is a NP-hard problem. In\nthis paper, to solve this kind of problems, firstly, a mathematical optimization model for construction example of algebra system\nis established. Secondly, an improved harmony search algorithm based on NGHS algorithm (INGHS) is proposed to find as more\nsolutions as possible for the optimization model; in the proposed INGHS algorithm, to achieve the balance between exploration\npower and exploitation power in the search process, a global best strategy and parameters dynamic adjustment method are present.\nFinally, nine construction examples of algebra system are used to evaluate the optimization model and performance of INGHS. The\nexperimental results show that the proposed algorithm has strong performance for solving complex construction example problems\nof algebra system....
A framework of moment neuronal networks with intra- and inter-interactions is presented. It is to show how the spontaneous\nactivity is propagated across the homogeneous and heterogeneous network.The input-output firing relationship and the stability\nare first explored for a homogeneous network. For heterogeneous network without the constraint of the correlation coefficients\nbetween neurons, amore sophisticated dynamics is then explored.With random interactions, the network gets easily synchronized.\nHowever, desynchronization is produced by a lateral interaction such as Mexico hat function. It is the external intra layer input unit\nthat offers a more sophisticated and unexpected dynamics over the predecessors. Hence, the work further opens up the possibility\nof carrying out a stochastic computation in neuronal networks....
In this paper we propose the global dynamics of an SIRI epidemic model with latency and a general nonlinear incidence function.\nThe model is based on the susceptible-infective-recovered (SIR) compartmental structure with relapse (SIRI). Sufficient conditions\nfor the global stability of equilibria (the disease-free equilibrium and the endemic equilibrium) are obtained by means of Lyapunov-\nLaSalle theorem. Also some numerical simulations are given to illustrate this result....
The identification of CTQs for complex products is the first step to implement quality control. To improve the efficiency and\naccuracy of CTQs identification, we propose a novel hybrid approach based on mutual information and improved gravitational\nsearch algorithm, which has advantages of filter and wrapper. At first, the information relevance and redundancy are measured by\nmutual information. Then, the improved gravitational search algorithm is used to search the CTQs. Experimentation is carried out\nusing 2 UCI data sets, and the classification capability of CTQs is tested by SVM and tenfold cross validation.The results show that\nthe presented method is verified to be effective and practically applicable....
According toThailand�s renewable energy development plan, biodiesel is one of the interesting alternative energies. In this research,\nbiodiesels B5 and B20 are tested in amarine engine.The experimental results are then compared by using three different techniques\nincluding (1) the conventional technique, (2) average of the point-to-point comparisons, and (3) a comparison by using quadratic\nprediction models. This research aims to present the procedures of these techniques in-depth.The results show that the comparison\nby using quadratic prediction models can accurately predict ample amounts of results and make the comparison more logical.\nThe results are compatible with those of the conventional technique, while the average of the point-to-point comparisons shows\ndiverse results. These results are also explained on the fuel property basis, confirming that the quadratic prediction model and the\nconventional technique are practical, but the average of the point-to-point comparison technique presents an inaccurate result. The\nbenefit of this research shows that the quadratic prediction model is more flexible for future science and engineering experimental\ndesign, thus reducing cost and time usage. The details of the calculation, results, and discussion are presented in the paper....
This paper introduces the global dynamics of an SIS model with bilinear incidence rate and saturated treatment function. The\ntreatment function is a continuous and differential function which shows the effect of delayed treatment when the rate of treatment\nis lower and the number of infected individuals is getting larger. Sufficient conditions for the existence and global asymptotic stability\nof the disease-free and endemic equilibria are given in this paper. The first Lyapunov coefficient is computed to determine various\ntypes of Hopf bifurcation, such as subcritical or supercritical. By some complex algebra, the Bogdanov-Takens normal form and\nthe three types of bifurcation curves are derived. Finally, mathematical analysis and numerical simulations are given to support our\ntheoretical results....
Loading....