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Computing the Distribution Function of the Number of Renewals

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DOI: 10.4236/ajor.2013.33035    4,169 Downloads   6,087 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

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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