Approximations of availability function using phase type distribution

被引：1
|
作者：
Sarada, Y. [1 ]
Shenbagam, R. [2 ]
机构：
[1] Anna Univ, Dept Math, CEGC, Chennai 600025, Tamil Nadu, India
[2] BS Abdur Rahman Crescent Inst Sci & Technol, Dept Math & Actuarial Sci, Chennai 600048, Tamil Nadu, India
来源：
OPSEARCH | 2022年 / 59卷 / 04期
关键词：
Phase type distribution; Availability function; Riemannian sum; Opportunistic channel access scheme; Mean residual idle time; WARRANTY; COSTS;
D O I：
10.1007/s12597-021-00560-2
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
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.
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页码：1337 / 1351
页数：15
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