American Journal of Applied Mathematics and Statistics
ISSN (Print): 2328-7306 ISSN (Online): 2328-7292 Website: Editor-in-chief: Mohamed Seddeek
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American Journal of Applied Mathematics and Statistics. 2014, 2(2), 83-87
DOI: 10.12691/ajams-2-2-6
Open AccessArticle

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

U.A. Ali1 and Ibrahim Yusuf2,

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

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

Pub. Date: March 13, 2014

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


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.

availability profit repairable system

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