Availability and Profit Analysis of a linear Consecutive 2-out-of-4 Repairable System with Units Exchange

U.A. Ali¹ and Ibrahim Yusuf^2,

¹Department of Mathematics, Usmanu Danfodio University, Sokoto, Nigeria

²Department of Mathematical Sciences, Faculty of Science, Bayero University, Kano, Nigeria

Cite this paper

U.A. Ali and Ibrahim Yusuf. Availability and Profit Analysis of a linear Consecutive 2-out-of-4 Repairable System with Units Exchange. American Journal of Applied Mathematics and Statistics. 2014; 2(2):83-87. doi: 10.12691/AJAMS-2-2-6

Abstract

In this paper, we study some reliability characteristics of a repairable linear consecutive 2-out-of-4 system. The system work when to two units in a row (consecutive) works. The system is attended by three repairmen. When an operating unit failed, a standby is switched on or an idle operating unit is exchange with the failed unit. The explicit expressions of the reliability characteristics such availability, busy period of the repairmen and profit function are derived. Some cases are analyzed graphically to investigate the impact of system parameters on availability and profit.

Keywords

availability, profit, repairable system

Copyright

This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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