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Pade approximation for stochastic discrete-event systems

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3 Author(s)
Gong, W.-B. ; Dept. of Electr. & Comput. Eng., Massachusetts Univ., Amherst, MA, USA ; Nananukul, S. ; Anlu Yan

We show that Pade approximation can be effectively used for approximation of performance functions in discrete-event systems. The method is (1) obtaining the MacLaurin coefficients of the performance function and (2) finding a Pade approximant from the MacLaurin coefficients and use it to approximate the function. We use the method with the expected number of renewals in a random interval, GI/G/1 systems, and inventory systems. The results are very good

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Automatic Control, IEEE Transactions on  (Volume:40 ,  Issue: 8 )