Safeguard Assessment of Nanoscale Nuclear Material in Nuclear Power Plant Operations Using the Analytic Hierarchy Process and Production Function - Atomic Nanoscale Technology in the Nuclear Industry - page 112

distributions.(Holder.1990;.Drake.1998)..So,.using.the.maximum.value.of.λ,.
C.I. .and. C.R. .are.obtained.as.follows:

λ − n

max

C I . . = . (10.3)

n − 1

.

. .
= Random Consistency Index

C I

C R . . (10.4)

. .

The.Vensim.simulation.code.is.used.for.developing,.analyzing,.and.pack-
aging.high-quality.dynamic.models.(Vensim.2009)..Models.are.constructed.
graphically.or.in.a.text.editor..Features.include.dynamic.functions,.subscript-
ing. (arrays),. Monte. Carlo. sensitivity. analysis,. optimization,. data. handling,.
application.interfaces,.and.more.(Vensim.2009).
For.the.application.of.economic.theories,.the.production.function.has.been.
applied. to. a. life. quality. index. that. is. a. function. of. life. expediency,. aver-
age. income,. and. safety. expenditures.. This. is. based. on. the. Cobb-Douglas.
function. (Thomas. et. al.. 2006).. The. production. function. was. developed. by.
K..Wicksell.and.the.Cobb-Douglas.function.is.used.in.the.ield.of.econom-
ics..The.nuclear.production.function.(NPF).is.applied.in.the.nuclear.indus-
try. in. safeguard. situations. (Cobb. and. Douglas. 1928).. These. equations. are.
described.as.follows:

P = ( 1 − R S ) . (10.5)

.

β γ

O = α X P . (10.6)

.

1 1

( )

β γ

γ γ q q

O O =

1

= α

1

X P = α X P = α X − R S . (10.7)

1

.

2 1 1 2 2

where
O ..is.the.operating.product.( kW ).
X ..is.the.operating.product.rate.( kW/s ).
K ..is.the.original.operating.product.( kW/s ).
P .. is.the.working.period(s).
S is.the.secure.spending.time(s).
R is.a.random.number.from.0.0.to.0.9.
α.. is.the.constant.number.in.the.NPF.based.on.the.Cobb-Douglas.formulation.
β.. is.the.constant.number.in.the.NPF.based.on.the.Cobb-Douglas.formulation.
γ.. is.the.constant.number.in.the.NPF.based.on.the.Cobb-Douglas.formulation.

X K = . (10.8)

.