Environmental Engineering Reference
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corresponding weighting coefficients, in the form of additive convolution. If it
will be adapted that each of the specific indicator is weighted by the respective
weighting coefficient. The sum of specific indicator multiplied with the
corresponding weight coefficient will lead to the Sustainability Index, Q ( t ),
with the following mathematical formulation
Q t
q
t
nn
(1)
n
where,
ω n weighting coefficient for the n- th specific indicator
q n n -th criterion for sustainability assessment.
The evaluation of company management system as the complex system is the
prestigious goal of modern approach to the validation of the complex system.
In this context it is introduced notion of the Resilience Index as the
agglomerated indicator for the measurement management system quality
[8,9,10]. Resilience Index presented on figure 2 is graphical presentation of the
sudden Sustainability index change in time and its recovery to the initial state
of the system. The integral value of the Sustainability Index recovery after a
sudden change leads to the definition of Resilience Index.
The second step in the data processing is the determination of the
resilience index component corresponding to the sudden change of the specific
indicators. It is anticipated the total Resiliency Index is the sum of the
resiliency index components.
Resilience Index is the variable immanent to the specific potential hazard.
This means that Resilience index as the parameter which quantifying the
potential probability for the malfunction of the system. Resilience index is
expressed with following mathematical formulation
t
k
1
R
w
1
q
t
j
i
i
i
1
t
(2)
0
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