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Approximations of availability function using phase type distribution

Author

Listed:
  • Y. Sarada

    (Anna University)

  • R. Shenbagam

    (B. S. Abdur Rahman Crescent Institute of Science and Technology)

Abstract

The present work introduces simple approximations of one dimensional availability function using phase type distribution via moments, renewal function and Riemannian sum. A closed form solution for the availability function with phase type inter event times is not available in the literature. Availability function is expressed in terms of the renewal equations for number of failures and repairs. Examples are provided in two cases such as the combination of Exponential–Exponential and Erlang–Erlang alternating renewal processes. An Application of the problem to a communication system is used to test the approximations.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:opsear:v:59:y:2022:i:4:d:10.1007_s12597-021-00560-2
    DOI: 10.1007/s12597-021-00560-2
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    References listed on IDEAS

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    1. Edward P. C. Kao & Marion Spokony Smith, 1993. "Discounted and Per Unit Net Revenues and Costs of Product Warranty: The Case of Phase-Type Lifetimes," Management Science, INFORMS, vol. 39(10), pages 1246-1254, October.
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