Open Access Original Research Article

Embedding n-Dimensional Crossed Hypercube into Pancake Graphs

M. F. Zerarka, S. Femmam, R. Aschheim

Journal of Advances in Mathematics and Computer Science, Page 1-20
DOI: 10.9734/BJMCS/2012/872

Among Cayley graphs on the symmetric group, the pancake graph is one as a viable interconnection scheme for parallel computers, which has been examined by a number of researchers. The pancake was proposed as alternatives to the hypercube for interconnecting processors in parallel computers. Some good and attractive properties of this interconnection network include: vertex symmetry, small degree, a sub-logarithmic diameter, extendability, and high connectivity (robustness), easy routing, and regularity of topology, fault tolerance, extensibility and embeddability of other topologies. In this paper, we present the many-to-one dilation 5 embedding of n-dimensional crossed hypercube into n-dimensional pancake patients. These predictors, however, need further work to validate reliability.

Open Access Original Research Article

Optimal Location of FACTS Devices by Evolutionary Programming Based OPF in Deregulated Power Systems

P. Ramasubramanian, G. Uma Prasana, K. Sumathi

Journal of Advances in Mathematics and Computer Science, Page 21-30
DOI: 10.9734/BJMCS/2012/449

This paper presents an Evolutionary Programming (EP) based approach for solving the optimal power flow with Flexible Alternating Current Transmission (FACTS) device to eliminate transmission line congestion in deregulated power system. Congestion in the transmission lines is one of the technical problems that appear particularly in the deregulated environment. In the deregulated power industry, private power producers are increasing rapidly to meet the increase demand. The purpose of the transmission network is to pool power plants and load centres in order to supply the load at a required reliability, maximum efficiency and at lower cost. As power transfer increases, the power system becomes increasingly more difficult to operate and insecure with unscheduled power flows and higher losses. The objective of FACTS devices is to control power flow so that it flows through the designated routes, increase transmission line capability to its maximum thermal limit, and improve the security of transmission system with minimal infrastructure investment and environmental impact. Thyristor Controlled Series capacitor (TCSC) is an emerging FACTS device used in this paper to reduce the congestion. The proposed approach introduces performance index parameter to locate TCSC optimally for relieving the congestion. In congestion management, the objective function is nonlinear. Hence an EP based approach is applied to solve the Optimal Power Flow (OPF) problem. IEEE 14 bus system is considered to demonstrate the suitability of this algorithm and the results are appreciably good.

Open Access Original Research Article

Open Access Original Research Article

On Almost Asymptotically Statistical Equivalent Sequences of Fuzzy Numbers

Ayhan ESI, M. Kemal ÖZDEMIR

Journal of Advances in Mathematics and Computer Science, Page 44-51
DOI: 10.9734/BJMCS/2012/1053

This paper presents the following definition which is a natural combination of the definitions for almost asymptotically equivalence and almost statistical convergence of fuzzy numbers. Let θ =(Kr) be a lacunary sequence. The two sequences  and  of fuzzy numbers are said to be

asymptotically vvvv.JPG  statistical equivalent of multiple  provided that for every fff.JPG

                                          ddd.JPG

wwdd.JPG   and simply almost asymptotically-statistical equivalent if L= 1 . Also, we prove that some inclusion relations.