Title :
Pade approximation for stochastic discrete-event systems
Author :
Gong, Wei-Bo ; Nananukul, Soracha ; Yan, Anlu
Author_Institution :
Dept. of Electr. & Comput. Eng., Massachusetts Univ., Amherst, MA, USA
fDate :
8/1/1995 12:00:00 AM
Abstract :
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
Keywords :
discrete event systems; function approximation; stochastic systems; GI/G/1 systems; MacLaurin coefficients; Pade approximation; inventory systems; random interval; stochastic discrete-event systems; Closed-form solution; Convergence; Convolution; Discrete event systems; Helium; History; Military computing; Physics; Probability density function; Stochastic systems;
Journal_Title :
Automatic Control, IEEE Transactions on