Laplace-Stieltjes transform of the system mean lifetime via geometric process model

• Autorzy: Gökhan Gökdere , Mehmet Gürcan
• Języki publikacji: EN

Abstrakty

EN

Operation principle of the engineering systems occupies an important role in the reliability theory. In most of the studies, the reliability function of the system is obtained analytically according to the structure of the system. Also in such studies the mean operating time of the system is calculated. However, the reliability function of some systems, such as repairable system, cannot be easily obtained analytically. In this case, forming Laplace-Stieltjes transform of the system can provide a solution to the problem. In this paper, we have designed a system which consists of two components that can be repairable with the aging property. Firstly, the Laplace-Stieltjes transform of the system is formed. Later, the mean operating time of the system is calculated by means of Laplace-Stieltjes transform. The system’s repair policy is evaluated depending on the geometric process. This property provides the aging of the system. We also provide special systems with different marginal lifetime distributions to illustrate the theoretical results in this study.

Słowa kluczowe

EN

Cold standby system; Laplace-Stieltjes transform; System mean lifetime; Geometric process

Kategorie tematyczne

• 65R10: Integral transforms
• 62K05: Optimal designs
• 90B25: Reliability, availability, maintenance, inspection

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 384-392

Daty

wydano

2016-01-01

otrzymano

2016-01-21

zaakceptowano

2016-05-04

online

2016-06-10

Twórcy

autor

Gökhan Gökdere

• Department of Statistics, Fırat University, 23119 Elazıǧ,

autor

Mehmet Gürcan

• Department of Statistics, Fırat University, 23119 Elazıǧ,

Identyfikatory

DOI

10.1515/math-2016-0034