A note on converging geometric-type processes

A note on converging geometric-type processes

Maxim Finkelstein

Source: J. Appl. Probab. Volume 47, Number 2 (2010), 601-607.

Abstract

The process of deterioration of repairable systems with each repair is modeled using converging geometric-type processes. It is proved that the expectation of the number of repairs in each interval of time is infinite. A new regularization procedure is suggested and the corresponding optimization problem is discussed.

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Primary Subjects: 60K10

Secondary Subjects: 60N05

Keywords: Geometric process; renewal process; repairable system; renewal function; minimal repair; overhaul

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.jap/1276784913
Digital Object Identifier: doi:10.1239/jap/1276784913
Zentralblatt MATH identifier: 05758491
Mathematical Reviews number (MathSciNet): MR2668510

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