caa a22 4500 465774741 CHVBK 20180323111938.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF02216816 doi (NATIONALLICENCE)springer-10.1007/BF02216816 Cao Jinhua Institute of Applied Mathematics, Academia Sinica, Beijing, P.R. China aut Availability and failure frequency of a Gnedenko system [Elektronische Daten] [Jinhua Cao] This paper considers anN-unit series system supported by a warm standby unit and a single repair facility. Suppose that the operating units and the standby unit have constant failure ratesa anda 1, respectively. When the system is down, all the operable units have constant failure ratea 2. The repair time of a failed unit has an arbitrary distribution. Using Takács' method and a Markov renewal process, we discuss the stochastic behavior of this system and obtain the explicit formulae of the system availability and failure frequency. J.C. Baltzer AG, Scientific Publishing Company, 1990 Gnedenko system nationallicence availability nationallicence failure frequency nationallicence Markov renewal process nationallicence Annals of Operations Research Baltzer Science Publishers, Baarn/Kluwer Academic Publishers 24/1(1990-12-01), 53-68 0254-5330 24:1<53 1990 24 10479 https://doi.org/10.1007/BF02216816 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02216816 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Cao Jinhua Institute of Applied Mathematics, Academia Sinica, Beijing, P.R. China aut NATIONALLICENCE 773 0- Annals of Operations Research Baltzer Science Publishers, Baarn/Kluwer Academic Publishers 24/1(1990-12-01), 53-68 0254-5330 24:1<53 1990 24 10479 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer