Article ID: | iaor20061231 |
Country: | South Africa |
Volume: | 21 |
Issue: | 2 |
Start Page Number: | 147 |
End Page Number: | 155 |
Publication Date: | Jan 2005 |
Journal: | Orion |
Authors: | Vanderperre E.J. |
Keywords: | stochastic processes |
We analyse the long-run availability of a technical device subjected to inspections and repair. All statistical distributions involved are general. In order to describe the random behaviour of the system, we employ a stochastic process endowed with stationary measures satisfying coupled Hokstad-type differential equations. The solution procedure is based on the theory of sectionally holomorphic functions. As an example, we consider the particular case of Coxian inspections.