Reliability and Cost-Benefit Efficient in a Two-Dissimilar- Unit with Warm Unit Standby Case Subject to Arbitrary Repair and Replacement

Authors

Aya Kamal, Department of Mathematics and Computer Science, Faculty of Science Port-Said University, Port-Said 42522, EgyptFollow
M. A. W. Mahmoud, Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, EgyptFollow
R. M. EL-Sagheer, Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt\\ High Institute of Computer and Management Information System, First Statement, New Cairo 11865, Cairo, EgyptFollow
M. A. Moaz, Department of Physics and Mathematical Science, Faculty of Engineering Port-Said University, Port-Said 42522, EgyptFollow

Abstract

In this paper, we deal with a warm case of standby system made up of two-dissimilar-units. One of these units is a high quality unit, while the other is a low quality one and may require repairs or replacement with a different lesser device in the event of failure, so the first unit is given priority in use. Assume that an arbitrary distribution for repairing the main unit and standby unit. We also examine all transition probabilities and calculate mean sojourn time, availability, and repair time. In the end, we use all of the previous measurments to evaluate the cost-benefit of the system.

Recommended Citation

Kamal, Aya; A. W. Mahmoud, M.; M. EL-Sagheer, R.; and A. Moaz, M. (2023) "Reliability and Cost-Benefit Efficient in a Two-Dissimilar- Unit with Warm Unit Standby Case Subject to Arbitrary Repair and Replacement," Information Sciences Letters: Vol. 12 : Iss. 4 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol12/iss4/30