ABSTRACT The method of Laplace transforms is used to findthe distribution function, mean, and variance ofthe number of renewals of a renewal processwhose inter-arrival time distribution has a rational Laplace transform.Where the Laplace transform is not rational,we use the Padéapproximation method.We apply our method to certain examples andthe results are compared to those reported byother researchers.
Cite this paper
M. Chaudhry, X. Yang and B. Ong, "Computing the Distribution Function of the Number of Renewals," American Journal of Operations Research, Vol. 3 No. 3, 2013, pp. 380-386. doi: 10.4236/ajor.2013.33035.
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