An approach for computing tight numerical bounds on renewal functions Academic Article

abstract

• This method computes tight lower & 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 interrenewal time distributions are sufficiently smooth. Three examples are explored that demonstrate the accuracy of these computed numerical bounds. 1999 IEEE.

authors

• Wortman, Martin

published proceedings

• IEEE TRANSACTIONS ON RELIABILITY

author list (cited authors)

• Ayhan, H., Limon-Robles, J., & Wortman, M. A.

citation count

• 28

complete list of authors

• Ayhan, H||Limon-Robles, J||Wortman, MA

publication date

• June 1999

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• n0018-9529ISSN  Journal

keywords

• Renewal Equation
• Renewal Function
• Riemann-stieltjes Integral

Digital Object Identifier (DOI)

• 10.1109/24.784278

start page

• 182

end page

• 188

volume

• 48

issue

• 2

URL

• http://dx.doi.org/10.1109/24.784278