Araştırma Makalesi
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AN APPLICATION OF PHASE-TYPE DISTRIBUTIONS IN A RELIABILITY SHOCK MODEL

Yıl 2019, , 16 - 21, 30.01.2019
https://doi.org/10.33773/jum.506505

Öz

Phase-type distributions have been found to be very useful in reliability,
queueing theory, and some other operational research applications. In this
work, we de_ne a new mixed shock model and study lifetime properties of the
corresponding system using phase-type distributions. The system under concern
fails upon the occurrence of k consecutive shocks of size at least d1 or a
single large shock of size at least d2, d1 < d2. In particular, using
closure properties of phase-type distributions, we obtain survival function and
mean time to failure of the system. Optimal replacement time is also studied. 

Kaynakça

  • Neuts, M. F., Meier, K. S., On the use of phase type distributions in reliability modelling of systems with two components. OR Spektrum, 2(4), 227-234, 1981Ahmad R., Kamarudin S., An overview of time-based and condition-based maintenance in industrial application, Computers & Industrial Engineering 63(1), 135-149, 2012 Gut, A. Mixed shock models, Bernoulli 7(3), 541-555, 2001. He, Q. M., Fundamentals of Matrix-Analytic Methods. NewYork: Springer, 22-43, 2014 Eryilmaz, S., Computing optimal replacement time and mean residual life in reliability shock models Computers & Industrial Engineering, 103, 40-45, 2017. Eryilmaz, S. and Tekin, M., Reliability evaluation of a system under a mixed shock model, 2018, submitted for publication.
Yıl 2019, , 16 - 21, 30.01.2019
https://doi.org/10.33773/jum.506505

Öz

Kaynakça

  • Neuts, M. F., Meier, K. S., On the use of phase type distributions in reliability modelling of systems with two components. OR Spektrum, 2(4), 227-234, 1981Ahmad R., Kamarudin S., An overview of time-based and condition-based maintenance in industrial application, Computers & Industrial Engineering 63(1), 135-149, 2012 Gut, A. Mixed shock models, Bernoulli 7(3), 541-555, 2001. He, Q. M., Fundamentals of Matrix-Analytic Methods. NewYork: Springer, 22-43, 2014 Eryilmaz, S., Computing optimal replacement time and mean residual life in reliability shock models Computers & Industrial Engineering, 103, 40-45, 2017. Eryilmaz, S. and Tekin, M., Reliability evaluation of a system under a mixed shock model, 2018, submitted for publication.
Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Mustafa Tekin

Serkan Eryılmaz

Yayımlanma Tarihi 30 Ocak 2019
Gönderilme Tarihi 2 Ocak 2019
Kabul Tarihi 26 Ocak 2019
Yayımlandığı Sayı Yıl 2019

Kaynak Göster

APA Tekin, M., & Eryılmaz, S. (2019). AN APPLICATION OF PHASE-TYPE DISTRIBUTIONS IN A RELIABILITY SHOCK MODEL. Journal of Universal Mathematics, 2(1), 16-21. https://doi.org/10.33773/jum.506505
AMA Tekin M, Eryılmaz S. AN APPLICATION OF PHASE-TYPE DISTRIBUTIONS IN A RELIABILITY SHOCK MODEL. JUM. Ocak 2019;2(1):16-21. doi:10.33773/jum.506505
Chicago Tekin, Mustafa, ve Serkan Eryılmaz. “AN APPLICATION OF PHASE-TYPE DISTRIBUTIONS IN A RELIABILITY SHOCK MODEL”. Journal of Universal Mathematics 2, sy. 1 (Ocak 2019): 16-21. https://doi.org/10.33773/jum.506505.
EndNote Tekin M, Eryılmaz S (01 Ocak 2019) AN APPLICATION OF PHASE-TYPE DISTRIBUTIONS IN A RELIABILITY SHOCK MODEL. Journal of Universal Mathematics 2 1 16–21.
IEEE M. Tekin ve S. Eryılmaz, “AN APPLICATION OF PHASE-TYPE DISTRIBUTIONS IN A RELIABILITY SHOCK MODEL”, JUM, c. 2, sy. 1, ss. 16–21, 2019, doi: 10.33773/jum.506505.
ISNAD Tekin, Mustafa - Eryılmaz, Serkan. “AN APPLICATION OF PHASE-TYPE DISTRIBUTIONS IN A RELIABILITY SHOCK MODEL”. Journal of Universal Mathematics 2/1 (Ocak 2019), 16-21. https://doi.org/10.33773/jum.506505.
JAMA Tekin M, Eryılmaz S. AN APPLICATION OF PHASE-TYPE DISTRIBUTIONS IN A RELIABILITY SHOCK MODEL. JUM. 2019;2:16–21.
MLA Tekin, Mustafa ve Serkan Eryılmaz. “AN APPLICATION OF PHASE-TYPE DISTRIBUTIONS IN A RELIABILITY SHOCK MODEL”. Journal of Universal Mathematics, c. 2, sy. 1, 2019, ss. 16-21, doi:10.33773/jum.506505.
Vancouver Tekin M, Eryılmaz S. AN APPLICATION OF PHASE-TYPE DISTRIBUTIONS IN A RELIABILITY SHOCK MODEL. JUM. 2019;2(1):16-21.