Assessment of Profit of a Two-Stage Deteriorating Linear Consecutive 2-out-of-3 Repairable System

Ibrahim Yusuf, Fatima Salman Koki

Department of Mathematical Sciences, Bayero University, Kano, Nigeria.
Department of Physics, Bayero University, Kano, Nigeria.

DOI: 10.4236/jamp.2013.13005                

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.

Keywords

Reliability; Availability; Profit; Deterioration

Conflicts of Interest

The authors declare no conflicts of interest.

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