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System availability in a gamma alternating renewal process

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  • T. Pham‐Gia
  • N. Turkkan

Abstract

We measure the effectiveness of a repairable system by the proportion of time the system is on, where on‐time and off‐times are assumed independent and both gamma‐distributed. This measure is helpful for system planning and control in the short term, before the steady‐state is reached, and its mean value is intermediary between instantaneous and steady‐state availabilities. We also present other significant results concerning the Gamma Alternating Renewal Process. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 822–844, 1999

Suggested Citation

  • T. Pham‐Gia & N. Turkkan, 1999. "System availability in a gamma alternating renewal process," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(7), pages 822-844, October.
    • Handle: RePEc:wly:navres:v:46:y:1999:i:7:p:822-844
    DOI: 10.1002/(SICI)1520-6750(199910)46:73.0.CO;2-D
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    References listed on IDEAS

    as
    1. Sim, C. H., 1992. "Point processes with correlated gamma interarrival times," Statistics & Probability Letters, Elsevier, vol. 15(2), pages 135-141, September.
    2. Faddy, M. J., 1996. "Modelling and analysis of count data using a renewal process," Statistics & Probability Letters, Elsevier, vol. 31(2), pages 129-132, December.
    3. M. Mazumdar, 1982. "A comparison of several estimates of availability," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 29(3), pages 411-418, September.
    4. A. Mathal & P. Moschopoulos, 1992. "A form of multivariate gamma distribution," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 44(1), pages 97-106, March.
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    Cited by:

    1. Y. Sarada & R. Shenbagam, 2022. "Approximations of availability function using phase type distribution," OPSEARCH, Springer;Operational Research Society of India, vol. 59(4), pages 1337-1351, December.

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