Pinnacle Engineering & Technology

(ISSN: 2360-9516)

March 2014, Vol.2 (2).

© Author(s) 2014. This work is distributed under the Creative Commons Attribution 3.0 License.

Research Article


Cost Analysis of a Two Dissimilar-Unit Cold Standby System with Preventive Maintenance by Kolmogorov’s Forward Method

M.Y. Haggag1 & Ahmed Khayar2

1*2Faculty of Science
Department of Mathematics
AL-Azhar University
Cairo, Egypt

Accepted 15 February, 2014; Available Online 3 March, 2014


Many authors have studied the cost analysis of a two-similar unit cold standby redundant system with two types of unit failure, but no attention was paid to the reliability of a system with two dissimilar units and preventive maintenance. Question was raised whether the preventive maintenance would be effective on the reliability and performance of the system. The paper introduces a statistical analysis of a two-dissimilar unit cold standby redundant system with two types of failures and preventive maintenance to evaluate availability, MTSF and cost analysis and determine the efficacy of preventive maintenance on the reliability and performance of the system. In the study undertaken, the mean time to system failure (MTSF), steady state availability and the profit function of a two- unit cold standby repairable redundant system involving preventive maintenance were discussed. The system was analyzed by using Kolmogorov's forward equations method. Some particular cases have also been discussed graphically. Some particular cases studies the effect of preventive maintenance on the system performance are shown by tables and graphs. The results indicated that the system with preventive maintenance is better than the system without preventive maintenance. These results indicated that the better maintenance of parts of the system originated better reliability and performance of the system.

Keywords: Reliability, Mean Time to System Failure (MTSF), steady-state availability, busy period, profit function, Failure and repair time, cost analysis, Expected frequency, preventive maintenance, Kolmogorov’s Forward Equations Method.

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