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Maintenance of a System Subject to Multiple Degradation Processes with Cox Arrivals

In: Operations Research Proceedings 2021

Author

Listed:
  • Lucía Bautista

    (Universidad de Extremadura)

  • Inma Torres Castro

    (Universidad de Extremadura)

  • Luis Landesa

    (Universidad de Extremadura)

Abstract

A system subject to multiple deterioration is studied. This deterioration is represented through the arrival process and the growth process. The degradation processes arrive at the system with stochastic intensity following a Cox process and they grow according to a homogeneous gamma process. Analytic formulas are developed for the expected intensity, the expected number of arrivals and the survival function.

Suggested Citation

  • Lucía Bautista & Inma Torres Castro & Luis Landesa, 2022. "Maintenance of a System Subject to Multiple Degradation Processes with Cox Arrivals," Lecture Notes in Operations Research, in: Norbert Trautmann & Mario Gnägi (ed.), Operations Research Proceedings 2021, pages 397-402, Springer.
  • Handle: RePEc:spr:lnopch:978-3-031-08623-6_58
    DOI: 10.1007/978-3-031-08623-6_58
    as

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