Fluctuation Mechanism and Control on System Instantaneous Availability

60 ◾ System Instantaneous Availability

ρ=

−≤

>





















k

kkk

k

()

13^*exp( 3) /( !) 40

0.06 40

e reliability and availability of the system is obtained according to models

from the two previous text sections as shown in Figure 4.5.

4.3 Series System

4.3.1 Modeling

Suppose the system is composed of n different units in a series; the failure time

X

i

and repair time Y

i

of unit i(i = 1, 2, …, n) are both subject to geometric distri-

bution; then, its failure rate function and repair rate function are both positive

constants, which are expressed as λ

i

(k) = λ

i

and μ

i

(k) = μ

i

, respectively. Once a

unit has failed (one or two), the faulted unit must be repa ...