Modeling and forecasting of a time series data is an integral part of the Data Mining. Sun spot numbers observed on the sun are a good candidate for a time series. A number of linear statistical models are discussed in this paper because Taylor series has similarity with an Auto Regressive model. A new algorithm based on Taylor series expansion and artificial neural network is presented. Based on Taylor series algorithm and ARIMA model, the Sunspot numbers are forecasted and compared.

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Dekker's algorithm[9] is the historically first software solution to mutual exclusion problem for 2-process case. The first software solution for n -process case was subsequently proposed by Dijkstra[8]. These two algorithms have become de facto examples of mutual exclusion algorithms, for their historical importance. Since the publication of Dijkstra's algorithm, there have been many solutions proposed in the literature [24, 1, 2]. In that, Peterson's algorithm [21] is one among the very popular algorithms. Peterson's algorithm has been extensively analyzed for its elegance and compactness. This paper attempts to dispel the myths about some of the properties of these three remarkable algorithms, by a systematic analysis.