TY - BOOK AU - Mohamed Refaat Nasef Mohamed AU - Ahmed Fouad Attia , AU - Hanan Mohamed Aly , TI - Optimal replacement policy for a multistate degenerative system / PY - 2013/// CY - Cairo : PB - Mohamed Refaat Nasef Mohamed , KW - Multistate degenerative system KW - Optimal replacement policy KW - Repair time N1 - Thesis (M.Sc.) - Cairo University - Institute of Statistical Studies and Research - Department of Mathematical Statistics; Issued also as CD N2 - In most of our real life situations owing to the ageing effect and accumulated wearing, the systems are degenerative in the sense that the successive operating times between failures become shorter and shorter, while the consecutive repair times after failures are getting longer and longer. In other words, the successive operating times are stochastically decreasing and finally dying out, while the consecutive repair times are stochastically increasing and finally tend to increasing and finally tend to infinity. To model such a degenerative system, Lam (1988(b)) first introduced a geometric process repair model in which he studied two kinds of replacement policy, one was based on the working age T of the system and the other on the failure or repair number N of the system ER -