Profit Analysis Study of Two-Dissimilar-Unit Warm Standby System under Different Weather Conditions

Authors

A. Kamal, Mathematical and Computer Science Department, 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

Author Country (or Countries)

Egypt

Abstract

In this paper, we study a warm standby repairable system that consists of two dissimilar units. One of these units is a good quality unit while the other one is of substandard quality that might need some repairs or replacement by another substandard unit upon failure. The system works under two different weather conditions, normal and abnormal. The unit operates under normal weather conditions, but incase of abnormal weather conditions, the system stops and the unit fails. In this paper, we analyze the steady state transition probabilities, mean sojourn time, mean time to failure, steady state availability of the system. We also performed busy period analysis of repairman and cost benefit analysis of the system. All of the previously mentioned analyses were done by using regenerative point technique.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/120213

Recommended Citation

Kamal, A.; A. W. Mahmoud, M.; M. EL-Sagheer, R.; and A. Moaz, M. (2023) "Profit Analysis Study of Two-Dissimilar-Unit Warm Standby System under Different Weather Conditions," Journal of Statistics Applications & Probability: Vol. 12: Iss. 2, Article 14.
DOI: http://dx.doi.org/10.18576/jsap/120213
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol12/iss2/14