equivalence factors of a general repairable parallel-series system are
discussed in this paper considering the availability function of the system.
The system components are assumed to be repairable and independent but not
identical. The life and repair times of the system components are exponentially
distributed with different parameters. Two types of availability equivalent
factors of the system are derived. The results derived in this paper generalize
those given in the literature. A numerical example is introduced to illustrate
how the idea of this work can be applied.
Cite this paper
Mustafa, A. and Sarhan, A. (2014) Availability Equivalence Factors of a General Repairable Parallel-Series System. Applied Mathematics
, 1713-1723. doi: 10.4236/am.2014.511164
 Sarhan, A.M. (2002) Reliability Equivalence with a Basic Series/Parallel System. Applied Mathematics and Computation, 132, 115-133. http://dx.doi.org/10.1016/S0096-3003(01)00181-3
 Sarhan, A.M. (2009) Reliability Equivalence Factors of a General Series-Parallel System. Reliability Engineering and System Safety, 94, 229-236. http://dx.doi.org/10.1016/j.ress.2008.02.021
 Sarhan, A.M., Al-Ruzaiza, A.S., Alwasel, I.A. and El-Gohary, A.I. (2004) Reliability Equivalence of a Series-Parallel System. Applied Mathematics and Computation, 154, 257-277. http://dx.doi.org/10.1016/S0096-3003(03)00709-4
 R?de, L. (1993) Reliability Equivalence. Microelectronics Reliability, 33, 323-325.