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DYNAMIC RELIABILITY AND PERFORMANCE EVALUATION OF MULTI-STATE SYSTEMS WITH TWO COMPONENTS

Yıl 2011, Cilt: 40 Sayı: 1, 125 - 133, 01.01.2011

Öz

In this paper we study multi-state systems consisting of two components when the number of system states and the number of states of each component are the same, i.e. the systems under consideration are homogeneous multi-state systems. In particular we evaluate multi-state series and cold standby systems assuming that the degradation in their components follow a Markov process. The behaviour of systems with respect to degradation rates is also investigated in terms of stochastic ordering.

Kaynakça

  • Brunelle, R. D. and Kapur, K. C. Review and classification of reliability measures for mul- tistate and continuum models, IIE Transactions 31, 1171–1180, 1999.
  • Cha, J. H., Mi, J. and Yun, W. Y. Modelling a general standby system and evaluation of its performance, Applied Stochastic Models in Business and Industry 24, 159–169, 2008.
  • Eryilmaz, S. and Iscioglu F. Reliability evaluation for a multi-state system under stress- strength setup, Communications in Statistics: Theory and Methods 40, 547–558, 2011.
  • Kuo, W. and Zuo, M. J. Optimal Reliability Modeling, Principles and Applications (John Wiley & Sons, New Jersey, 2003).
  • Li, W. and Zuo, M.J. Reliability evaluation of multi-state weighted k-out-of-n systems. Reliability Engineering & System Safety 93, 160–167, 2008.
  • Li, X., Yan, R. and Zuo, M. J. Evaluating a warm standby system with components having proportional hazard rates, Operations Research Letters 37, 56–60, 2009.
  • Lisnianski, A. and Levitin, G. Multi-state System Reliability: Assessment, Optimization and Applications(World Scientific Pub. Co., Inc., Singapore, 2003).
  • Lisnianski, A. and Ding, Y. Redundancy analysis for repairable multi-state system by using combined stochastic processes methods and universal generating function technique,Relia- bility Engineering & System Safety 94, 1788–1795, 2009.
  • Lisnianski, A. and Frenkel, I. Non-homogeneous Markov reward model for aging multi-state system under minimal repair, International Journal of Performability Engineering 5, 303– 312, 2009.
  • Navarro, J. and Hernandez, P. J. Negative mixtures, order statistics and systems. In: Ad- vances in Mathematical and Statistical Modelling. Series: Statistics for Industry and Tech- nology Arnold, B.C.; Balakrishnan, N.; Sarabia, J.M.; Minguez, R. (Eds.) (Birkhauser, Boston, 2008), 89–100.
  • Navarro, J. Tail hazard rate ordering properties of order statistics and coherent systems, Naval Research Logistics 54, 820–828, 2007.
  • Navarro, J. and Hernandez, P. J. Mean residual life functions of finite mixtures, order sta- tistics and coherent systems, Metrika 67, 277–298, 2008.
  • Navarro, J. Guillamon, A. and Ruiz, M. Generalized mixtures in reliability modelling: Ap- plications to the construction of bathtub shaped hazard models and the study of systems, Applied Stochastic Models in Business and Industry 25, 323–337, 2009.
  • Shaked, M. and Shanthikumar, J. G. Stochastic orders (Springer, New York, 2007).
  • Zuo, M. J. and Tian, Z. Performance evaluation for generalized multi-state k-out-of-n sys- tems, IEEE Transactions on Reliability 55, 319–327, 2006.

DYNAMIC RELIABILITY AND PERFORMANCE EVALUATION OF MULTI-STATE SYSTEMS WITH TWO COMPONENTS

Yıl 2011, Cilt: 40 Sayı: 1, 125 - 133, 01.01.2011

Öz

Kaynakça

  • Brunelle, R. D. and Kapur, K. C. Review and classification of reliability measures for mul- tistate and continuum models, IIE Transactions 31, 1171–1180, 1999.
  • Cha, J. H., Mi, J. and Yun, W. Y. Modelling a general standby system and evaluation of its performance, Applied Stochastic Models in Business and Industry 24, 159–169, 2008.
  • Eryilmaz, S. and Iscioglu F. Reliability evaluation for a multi-state system under stress- strength setup, Communications in Statistics: Theory and Methods 40, 547–558, 2011.
  • Kuo, W. and Zuo, M. J. Optimal Reliability Modeling, Principles and Applications (John Wiley & Sons, New Jersey, 2003).
  • Li, W. and Zuo, M.J. Reliability evaluation of multi-state weighted k-out-of-n systems. Reliability Engineering & System Safety 93, 160–167, 2008.
  • Li, X., Yan, R. and Zuo, M. J. Evaluating a warm standby system with components having proportional hazard rates, Operations Research Letters 37, 56–60, 2009.
  • Lisnianski, A. and Levitin, G. Multi-state System Reliability: Assessment, Optimization and Applications(World Scientific Pub. Co., Inc., Singapore, 2003).
  • Lisnianski, A. and Ding, Y. Redundancy analysis for repairable multi-state system by using combined stochastic processes methods and universal generating function technique,Relia- bility Engineering & System Safety 94, 1788–1795, 2009.
  • Lisnianski, A. and Frenkel, I. Non-homogeneous Markov reward model for aging multi-state system under minimal repair, International Journal of Performability Engineering 5, 303– 312, 2009.
  • Navarro, J. and Hernandez, P. J. Negative mixtures, order statistics and systems. In: Ad- vances in Mathematical and Statistical Modelling. Series: Statistics for Industry and Tech- nology Arnold, B.C.; Balakrishnan, N.; Sarabia, J.M.; Minguez, R. (Eds.) (Birkhauser, Boston, 2008), 89–100.
  • Navarro, J. Tail hazard rate ordering properties of order statistics and coherent systems, Naval Research Logistics 54, 820–828, 2007.
  • Navarro, J. and Hernandez, P. J. Mean residual life functions of finite mixtures, order sta- tistics and coherent systems, Metrika 67, 277–298, 2008.
  • Navarro, J. Guillamon, A. and Ruiz, M. Generalized mixtures in reliability modelling: Ap- plications to the construction of bathtub shaped hazard models and the study of systems, Applied Stochastic Models in Business and Industry 25, 323–337, 2009.
  • Shaked, M. and Shanthikumar, J. G. Stochastic orders (Springer, New York, 2007).
  • Zuo, M. J. and Tian, Z. Performance evaluation for generalized multi-state k-out-of-n sys- tems, IEEE Transactions on Reliability 55, 319–327, 2006.
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular İstatistik
Bölüm Matematik
Yazarlar

Serkan Eryilmaz Bu kişi benim

Yayımlanma Tarihi 1 Ocak 2011
Yayımlandığı Sayı Yıl 2011 Cilt: 40 Sayı: 1

Kaynak Göster

APA Eryilmaz, S. (2011). DYNAMIC RELIABILITY AND PERFORMANCE EVALUATION OF MULTI-STATE SYSTEMS WITH TWO COMPONENTS. Hacettepe Journal of Mathematics and Statistics, 40(1), 125-133.
AMA Eryilmaz S. DYNAMIC RELIABILITY AND PERFORMANCE EVALUATION OF MULTI-STATE SYSTEMS WITH TWO COMPONENTS. Hacettepe Journal of Mathematics and Statistics. Ocak 2011;40(1):125-133.
Chicago Eryilmaz, Serkan. “DYNAMIC RELIABILITY AND PERFORMANCE EVALUATION OF MULTI-STATE SYSTEMS WITH TWO COMPONENTS”. Hacettepe Journal of Mathematics and Statistics 40, sy. 1 (Ocak 2011): 125-33.
EndNote Eryilmaz S (01 Ocak 2011) DYNAMIC RELIABILITY AND PERFORMANCE EVALUATION OF MULTI-STATE SYSTEMS WITH TWO COMPONENTS. Hacettepe Journal of Mathematics and Statistics 40 1 125–133.
IEEE S. Eryilmaz, “DYNAMIC RELIABILITY AND PERFORMANCE EVALUATION OF MULTI-STATE SYSTEMS WITH TWO COMPONENTS”, Hacettepe Journal of Mathematics and Statistics, c. 40, sy. 1, ss. 125–133, 2011.
ISNAD Eryilmaz, Serkan. “DYNAMIC RELIABILITY AND PERFORMANCE EVALUATION OF MULTI-STATE SYSTEMS WITH TWO COMPONENTS”. Hacettepe Journal of Mathematics and Statistics 40/1 (Ocak 2011), 125-133.
JAMA Eryilmaz S. DYNAMIC RELIABILITY AND PERFORMANCE EVALUATION OF MULTI-STATE SYSTEMS WITH TWO COMPONENTS. Hacettepe Journal of Mathematics and Statistics. 2011;40:125–133.
MLA Eryilmaz, Serkan. “DYNAMIC RELIABILITY AND PERFORMANCE EVALUATION OF MULTI-STATE SYSTEMS WITH TWO COMPONENTS”. Hacettepe Journal of Mathematics and Statistics, c. 40, sy. 1, 2011, ss. 125-33.
Vancouver Eryilmaz S. DYNAMIC RELIABILITY AND PERFORMANCE EVALUATION OF MULTI-STATE SYSTEMS WITH TWO COMPONENTS. Hacettepe Journal of Mathematics and Statistics. 2011;40(1):125-33.