Fav. Schouten et P. Wartenhorst, TRANSIENT ANALYSIS OF A 2-UNIT STANDBY SYSTEM WITH MARKOVIAN DEGRADING UNITS, Management science, 40(3), 1994, pp. 418-428
Citations number
21
Categorie Soggetti
Management,"Operatione Research & Management Science
A two-unit cold standby system with Markovian degrading units and one
repair facility is considered. Two types of repair are possible: preve
ntive and corrective, where the latter is supposed to be more time con
suming than the first. The system is controlled by a repair policy of
control limit type: a preventive repair on the working unit is carried
out as soon as the state of this unit exceeds a certain threshold unl
ess the repair facility is occupied by the other unit, In this paper w
e derive explicit expressions for the Laplace transforms of the up- an
d down-periods of this system, which provide insight in the availabili
ty of the system and which can be used to obtain approximations for th
e interval availability distribution. An iterative numerical procedure
is presented for the special case of generalized Erlangian distribute
d repair times.