Öz
By studying the spectrum of the underlying operator corresponding to the two-unit system with connecting and disconnecting effect, we prove that the time-dependent solution of the system conversges stronly to its steady-state solution as time tends to infinity.
Anahtar Kelimeler
two-unt system connecting and disconnicting effect eigenvalue resolvent set.
Kaynakça
- Dhillon, B. S., Singh, C., “Engineering Reliability, New Techniques and Applications”. John Wiley, New York, (1981).
- Gaver, D. P., “Time to failure and availability of parallel redundant systems with repair”, IEEE Trans. Rel. R12: 30–38, (1963) .
- Goel, C. K., Narmada, S. and Jacob, M. , “Analysis of a two-unit system with connecting and disconnecting effect”, Microelectron. Reliab. 37: 1271–1274, (1997).
- Goel, L. R., Gupta, P., Singh, S. K., “A two unit parallel redundant system with three modes and bivariate exponential life times”, Microelectron. Reliab. 24: 25–28, (1984).
- Gupta, P. P. and Agarwal, S. C., “Cost analysis of 3-state 2-unit repairable system”, Microelectron. Reliab. 24: 55–59,(1984).
- Gupur, G., Li, X., Zhu, G., “Functional Analysis Method in Queueing Theory”, Research Information Ltd., Hertfordshire, (2001).
- Mijit, A., Gupur, G., “Semigroup approach of a two-unit system with connecting and disconnecting effect”. Int. J. Appl. Math. Stat. 41: 23–30, (2013).
- Mijit, A., Gupur, G., Asymptotic behavior of the time-dependent solution of the M/M/1 queueing model with optional second service, Int. J. Pure Appl. Math. 69: 289–328, ( 2011).
Öz
Kaynakça
- Dhillon, B. S., Singh, C., “Engineering Reliability, New Techniques and Applications”. John Wiley, New York, (1981).
- Gaver, D. P., “Time to failure and availability of parallel redundant systems with repair”, IEEE Trans. Rel. R12: 30–38, (1963) .
- Goel, C. K., Narmada, S. and Jacob, M. , “Analysis of a two-unit system with connecting and disconnecting effect”, Microelectron. Reliab. 37: 1271–1274, (1997).
- Goel, L. R., Gupta, P., Singh, S. K., “A two unit parallel redundant system with three modes and bivariate exponential life times”, Microelectron. Reliab. 24: 25–28, (1984).
- Gupta, P. P. and Agarwal, S. C., “Cost analysis of 3-state 2-unit repairable system”, Microelectron. Reliab. 24: 55–59,(1984).
- Gupur, G., Li, X., Zhu, G., “Functional Analysis Method in Queueing Theory”, Research Information Ltd., Hertfordshire, (2001).
- Mijit, A., Gupur, G., “Semigroup approach of a two-unit system with connecting and disconnecting effect”. Int. J. Appl. Math. Stat. 41: 23–30, (2013).
- Mijit, A., Gupur, G., Asymptotic behavior of the time-dependent solution of the M/M/1 queueing model with optional second service, Int. J. Pure Appl. Math. 69: 289–328, ( 2011).
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Bölüm | Mathematics |
| Yazarlar | |
| Yayımlanma Tarihi | 23 Şubat 2015 |
| Yayımlandığı Sayı | Yıl 2015 Cilt: 28 Sayı: 1 |