TITLE:
Assessment of Profit of a Two-Stage Deteriorating Linear Consecutive 2-out-of-3 Repairable System
AUTHORS:
Ibrahim Yusuf, Fatima Salman Koki
KEYWORDS:
Reliability; Availability; Profit; Deterioration
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.1 No.3,
September
20,
2013
ABSTRACT: Most of the researches on profit and cost evaluation of
redundant system focus on the effect of failure and repair on revenue
generated. However, as these systems continue to work, their strength gradually
deteriorates. Where such deterioration occurs, minor and major maintenance is employed to remedy the deterioration. Little or no attention is paid on the
effect of deterioration on the impact of deterioration and their
maintenance on the revenue generated. In this paper, we study the profit
generated of two-stage deteriorating linear consecutive 2-out-of-3 system.
Failure, repair and deterioration time are assumed exponential. The
explicit expressions of availability, busy period of a repairman and profit
function are derived using Kolmogorov’s forward equations method. Various cases
are analyzed graphically to investigate the effect of deterioration parameters
such as slow deterioration, fast deterioration, and their maintenance such as
minor and major minimal maintenance on profit generated.