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M. Y. Haggag, “Cost analysis of a system involving common cause failure and preventive maintenance, ”Journal of Mathematics and Statistics, Vol. 5, No. 4, 2009, pp 305-310.

has been cited by the following article:

Article

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

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

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


American Journal of Applied Mathematics and Statistics. 2014, Vol. 2 No. 2, 83-87
DOI: 10.12691/ajams-2-2-6
Copyright © 2014 Science and Education Publishing

Cite this paper:
U.A. Ali, 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.

Correspondence to: Ibrahim  Yusuf, Department of Mathematical Sciences, Faculty of Science, Bayero University, Kano, Nigeria. Email: Ibrahimyusuffagge@gmail.com

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.

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