@article { author = {Gheisary, Atefe and Goli, Sareh}, title = {A Study on the Multi-state (r, s)-out-of- n Systems with Dependent Components}, journal = {International Journal of Reliability, Risk and Safety: Theory and Application}, volume = {1}, number = {1}, pages = {11-16}, year = {2018}, publisher = {Aerospace Research Institute, Ministry of Science, Research and Technology, IRAN}, issn = {2676-3346}, eissn = {2676-3346}, doi = {10.30699/ijrrs.1.11}, abstract = {In the study of technical systems in reliability engineering, multi-state systems play a useful role. A multi-state system is a system consisting n components that system and its components may have several level performance. In the present paper, we introduce the multi-state (r, s)-out-of-n system consisting n elements having the property that each element consists two dependent components and each component of the elements and the system can be in one of m+1 possible states: 0, 1, 2,..., m. We investigate an efficient method to compute the exact reliability by using the distribution of bivariate order statistics. Depending on the number of active components of the multi-state (r, s)-out-of-n systems at time t, the mean residual lifetime function of the system is studied. Also, an example and illustrative graph is provided.}, keywords = {Multi-state (r, s)-out-of-n system,Bivariate order statistics,Reliability function,Mean residual lifetime}, url = {http://www.ijrrs.com/article_73323.html}, eprint = {http://www.ijrrs.com/article_73323_ef43d51acf3070f4cd22135ed8b2c7ad.pdf} }