Approximations of availability function using phase type distribution

Y. Sarada () and R. Shenbagam ()
Additional contact information
Y. Sarada: Anna University
R. Shenbagam: B. S. Abdur Rahman Crescent Institute of Science and Technology

OPSEARCH, 2022, vol. 59, issue 4, No 5, 1337-1351

Abstract: 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.

Keywords: Phase type distribution; Availability function; Riemannian sum; Opportunistic channel access scheme; Mean residual idle time (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s12597-021-00560-2 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:opsear:v:59:y:2022:i:4:d:10.1007_s12597-021-00560-2

Ordering information: This journal article can be ordered from
http://www.springer. ... search/journal/12597

DOI: 10.1007/s12597-021-00560-2

Access Statistics for this article

OPSEARCH is currently edited by Birendra Mandal

More articles in OPSEARCH from Springer, Operational Research Society of India
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().