TITLE:
Computing the Distribution Function of the Number of Renewals
AUTHORS:
Mohan L. Chaudhry, Xiaofeng Yang, Boon Ong
KEYWORDS:
Number of Renewals; Rational Approximation; Padé
JOURNAL NAME:
American Journal of Operations Research,
Vol.3 No.3,
May
23,
2013
ABSTRACT: The method of Laplace transforms is used to find the distribution function, mean, and variance of the number of renewals of a renewal process whose inter-arrival time distribution has a rational Laplace transform. Where the Laplace transform is not rational, we use the Padé approximation method. We apply our method to certain examples and the results are compared to those reported by other researchers.