Computing the Distribution Function of the Number of Renewals - American Journal of Operations Research

AJOR > Vol.3 No.3, May 2013

Computing the Distribution Function of the Number of Renewals ()

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DOI: 10.4236/ajor.2013.33035 4,858 Downloads 7,150 Views Citations

Author(s)

Mohan L. Chaudhry, Xiaofeng Yang, Boon Ong

Affiliation(s)

Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, Canada.

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.

KEYWORDS

Number of Renewals; Rational Approximation; Padé

Share and Cite:

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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