Open AccessA study on stochastic modelling of the repairable system
Author(s) -
Syed Tahir Hussainy,
B Shabeer
Publication year - 2021
Publication title -
journal of computational mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-8686
DOI - 10.26524/cm110
Subject(s) - reliability (semiconductor) , reliability engineering , computer science , point (geometry) , stochastic modelling , stochastic process , unit (ring theory) , renewal theory , operations research , engineering , mathematics , statistics , power (physics) , physics , geometry , mathematics education , quantum mechanics
All reliability models consisting of random time factors form stochastic processes. In this paper we recall the definitions of the most common point processes which are used for modelling of repairable systems. Particularly this paper presents stochastic processes as examples of reliability systems for the support of the maintenance related decisions. We consider the simplest one-unit system with a negligible repair or replacement time, i.e., the unit is operating and is repaired or replaced at failure, where the time required for repair and replacement is negligible.When the repair or replacement is completed, the unit becomes as good as new and resumes operation. The stochastic modelling of recoverable systems constitutes an excellent method of supporting maintenance related decision-making processes and enables their more rational use.