Name
Title | ||
|---|---|---|
Continuous approximations of discrete phase-type distributions and their applications to reliability models |
Abstract | ||
|---|---|---|
Using Erlangization, we construct two types of continuous phase-type (PH) random variables that approximate discrete PH-random variables and finite discrete random variables. The key idea of the method is to use Erlang random variables to approximate constants. The approximations have (i) explicit closed form PH-representations; (ii) a small set of parameters, (iii) the same mean as the original random variable; (iv) moments and variances that can be arbitrarily close to that of the original random variable; (v) distribution functions that converge to that of the original random variable; and (vi) distribution functions that decreasing in convex order. The approximations are utilized in the analysis of two basic reliability structures: the serial model and the parallel model. Some bounds on such basic stochastic models are obtained. Numerical examples are presented to demonstrate the effectiveness of the approximations. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1016/j.peva.2022.102284 | Performance Evaluation |
Keywords | DocType | Volume |
Phase-type distribution,Erlangization,Reliability,Serial model,Parallel model | Journal | 154 |
ISSN | Citations | PageRank |
0166-5316 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Qi-Ming He | 1 | 230 | 34.21 |
| Baoliang Liu | 2 | 0 | 0.34 |
| Haoran Wu | 3 | 0 | 0.34 |