Issue: 2016/Vol.26/No.1, Pages 5-18
INTRODUCING PROBABILISTIC MODELS FOR REDUNDANT SYSTEM RELIABILITY
Mansur Babagana
, Bello Gimba, Ibrahim Yusuf
Cite as: M. Babagana, B. Gimba, I. Yusuf. Introducing probabilistic models for redundant system reliability. Operations Research and Decisions 2016: 26(1), 5-18. DOI 10.5277/ord160101
Abstract
Probabilistic models have been developed to evaluate the relationship between reliability measures and the performance of a repairable network with built in redundancy. Networks with built in redundancy have been considered and explicit expressions have been derived for three characteristics related to such systems including steady-state availability, period of repair, and a profit function. Various graphs have been plotted to discover the impact of availability and mean time to system failure on net profit, as well as the impact of the failure and service rate on the steady-state availability, net profit and mean time to system failure. The system was analysed using first order linear differential equations
Keywords: reliability, availability, mean time to system failure (MTSF), busy period, network, redundancy
Received: 20 March 2015 Accepted: 15 January 2016