A Sokhotski–Plemelj problem related to a renewable T-cell

A Sokhotski–Plemelj problem related to a renewable T-cell

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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:
Keywords: stochastic processes
Abstract:

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.

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