An approach for computing tight numerical bounds on renewalfunctions |
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Authors: | Ayhan H. Limon-Robles J. Wortman M.A. |
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Affiliation: | Sch. of Ind. & Syst. Eng., Georgia Inst. of Technol., Atlanta, GA; |
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Abstract: | This method computes tight lower and upper bounds for the renewal function. It is based on Riemann-Stieltjes integration, and provides bounds for solving certain renewal equations used in the study of availability. An error analysis is given for the numerical bounds when inter-renewal time distributions are sufficiently smooth. Three examples are explored that demonstrate the accuracy of these computed numerical bounds |
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