A Squeeze Response Surface Methodology for Finding Symbolic Network Reliability Functions

Author

Yeh, Wei-Chang ; Lin, Chien-Hsing

Author_Institution

Dept. of Ind. Eng. & Eng. Manage., Nat. Tsing Hua Univ., Hsinchu

Volume

58

Issue

2

fYear

2009

fDate

6/1/2009 12:00:00 AM

Firstpage

374

Lastpage

382

Abstract

A new response surface methodology (RSM) called the squeeze response surface methodology (SRSM) is proposed to gain the approximate symbolic network reliability function (SNRF). The proposed SRSM can be used to solve not only complicated system configurations, but also help decision makers gain greater understanding for the structure of the system. The response value is the value of the Bonferroni bounds (using by-products of cellular automata (CA) Monte Carlo simulation (MCS), and min-cuts) minus the simulation value (obtained from CA-MCS). SRSM squeezes the range of response values to improve solution quality. Our results compare favorably with previously developed algorithms in the literature from the experiment of the benchmark example.

Keywords

Monte Carlo methods; cellular automata; reliability theory; Bonferroni bounds; Monte Carlo simulation; approximate symbolic network reliability function; cellular automata; complicated system configuration; response value; simulation value; squeeze response surface methodology; symbolic network reliability function; Bonferroni bound; Box-Behnken design; Monde Carlo simulation; cellular automata; min-cuts; reliability function; response surface methodology;

fLanguage

English

Journal_Title

Reliability, IEEE Transactions on

Publisher

ieee

ISSN

0018-9529

Type

jour

DOI

10.1109/TR.2009.2020121

Filename

4967913