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 114

( )

q q q + 1

α 2 K S R − R

= Z . (10.18)

Lifetime
Refueling period

.

If. Z 1 .and Z 2 .are.proposed,

( ) ( )

q q q + 1 q q q + 1

α K S R − R α K S R − R

2 1 1 1 1 2 2 2 2 2

Z = , Z = . (10.19)

1 2

Lifetime
Refueling period

Lifetime
Refu eling period

.

where.α 2 .are.constants..The. S .value.is.the.secure.period,.which.is.the.opera-
tion. period. except. the. refueling. period.. Therefore,. the. Z . value. is. how. the.
secure.operation.is.affected.by.the.refueling.period..A.timeline.of.operation.
with.nuclear.fuel.values.shows.that.the.refueling.period.is.the.least.secure.
time. because. the. security. is. in. a. negative. situation.. It. is. quantized. by. the.
random.number,.which.is.shown.as.follows:

60 12
18

×

60 12 × −

1
18

S = = − 1 ≈ 0 944 . . (10.20)

60 12 ×

.

( ) ( )

q q q + 1 q q q + 1

α
α

K S R − R K S R − R

Z
Z

2 1 1 1 1 1 1 1 1

1
2

=

) =

. (10.21)

( ( )

q q q + 1 q q q + 1

K S R − R K S R − R

2 2 2 2 2 2 2 2 2

.

The. NPF. is. deined. in. Equation. (10.21).. This. is. performed. repeatedly. as.
the.ive.types.of.reactors.are.examined..It.is.applied.for.rational.values.for.
the.two.power.plants.that.are.to.be.compared..The.Vensim.code.is.used.for.
modeling.

10.3 Results

The. overview. of. AHP. for. safeguard. conditions. is. shown. in. Figure 10.2..
The. comparisons. of. safeguard. conditions. and. the. ive. associated. reactors.
are.connected.by.hierarchy.processes.in.the.igure..The.results.of.AHP.are.
obtained.by.the.maximum.pair.values.with.multiplications.that.are.decided.
by.reactor.type.number.for.maximum.values..The.maximum.values.are.cal-
culated.by.the.matrices.in.Tables 10.5.through.10.9..The.underlined.numbers.