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Probabilistic models for analyzing the availability and profit of a deteriorating 2-out-of-4 system

100%
YUSUF I.
Operations Research and Decisions
|
2016
|
vol. 26
|
issue 4
91-100
EN
This paper deals with modelling and evaluating the availability and profit of a linear consecutive 2-out-of-4 system exposed to three consecutive stages of deterioration before failure. The system will pass through three consecutive stages of deterioration: slow, medium and fast before failure. The failure and repair times are assumed to be exponentially distributed. Explicit expressions for the system availability, the probability of a repairman being busy due to the failure of a unit, or due to the replacement of failed units, and the profit function have been derived using a probabilistic approach. The impacts of the failure and repair rate on system availability and profit have been investigated. The results of this paper will enhance system performance and ensure the timely execution of appropriate maintenance and improvement, and thus is a major tool for decision making, planning and optimisation.
2
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Introducing probabilistic models for redundant system reliability

51%
BABAGANA M., GIMBA B., YUSUF I.
Operations Research and Decisions
|
2016
|
vol. 26
|
issue 1
5-18
EN
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 redun-dancy 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.
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