Eryilmaz, SerkanIndustrial Engineering2024-07-052024-07-0520180361-09181532-414110.1080/03610918.2017.13002662-s2.0-85020719573https://doi.org/10.1080/03610918.2017.1300266https://hdl.handle.net/20.500.14411/3011Eryilmaz, Serkan/0000-0002-2108-1781The stress-strength model has attracted a great deal of attention in reliability analysis, and it has been studied under various modeling assumptions. In this article, the stress-strength reliability is studied for both single unit and multicomponent systems when stress and strength distributions are of phase type. Phase-type distributions, besides their analytical tractability, are a versatile tool for modeling a wide range of real life systems/processes. In particular, matrix-based expressions are obtained for the stress-strength reliability, and mean residual strength for an operating system. The results are illustrated for Erlang-type stress-strength distributions for a single unit system and a system having a general coherent structure. An example on the comparison of two multi-state units in stress-strength ordering is also presented.eninfo:eu-repo/semantics/closedAccessCoherent systemPhase-type distributionsResidual lifeStress-strength reliabilityArticleQ4474954963WOS:00043468260000210