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Usage Genetic Algorithm to Solve some
Economic Models

( Genetic Algorithm )
, ( Lagrange method)

-

(Economic Model) (EM)

Structural )
( Equations

(EM)
( Economically Optimal Production )

,

Q
-

Q = ( KL)1/θ
θ

L

K

Q1,Q
-

Q1 + Q2 = 1000

( Constrained Optimization Problems )

, (Lagrange method)
, (λ ) ,

2LK = 300
.

C = 3L+ 4K ......... (1)
2LK = 300
Q = 3L+ 4K + (2LK -300) λ

λ=:(

L = 14.14 , K = 10.6 ,
C
C = 3 (14.14) + 4 (10.6) = 84.8
(GA)

:( Optimization )

-1

:( Economic Models)
(GA)

: (Decision Making)
(GA)

: ( Neural Network Design)

.(GA)
( GA )
Risto ) (Franklin Allen)

-3
( Karjalainen

Herbert )
( Michael Kope ) ( Dawid
-,
( Sylvie Geisendorf )
Alfons )
( Kathrin Happe ) ( Balmann

( Feryal Erhun ) ( Pmar Keskinocak )
( GA )

( GA)
( Steps of the Proposed GA for finding the Optimal
solution for
some Constrained Economic Problems )
(GA)

:(Initial Data)

--

:A
:B
: (Initial Generation)

: (Fitness Value)

-
-

50 = (Population)

-
30 = (Generations)

-

60% = (Crossover Rate )

-

4 = (Bit Length)

-4

N1

C1=

L1=

N2

C2=

L2=

N3

C3=

L3=

Value = n1 × i1 + n2 × i2 + n3 × i1

Cost = n1 × c1 + n2 × c2 + n3 × c3 ≤ MAX
n1, n2, n
.MAXc=

value

(Fitness)
(MAXc)

(Cost)

(Value)
.

.

n1=1011=11

n2=0010=2

n3=1001=9

11000

8060

N3=2

N2=7

N1=2

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Genetic algorithm

  • 1. Usage Genetic Algorithm to Solve some Economic Models ( Genetic Algorithm ) , ( Lagrange method) - (Economic Model) (EM) Structural )
  • 3. ( Economically Optimal Production ) , Q - Q = ( KL)1/θ θ L K Q1,Q - Q1 + Q2 = 1000 ( Constrained Optimization Problems ) , (Lagrange method)
  • 4. , (λ ) , 2LK = 300 . C = 3L+ 4K ......... (1) 2LK = 300 Q = 3L+ 4K + (2LK -300) λ λ=:( L = 14.14 , K = 10.6 , C C = 3 (14.14) + 4 (10.6) = 84.8
  • 5. (GA) :( Optimization ) -1 :( Economic Models) (GA) : (Decision Making) (GA) : ( Neural Network Design) .(GA) ( GA ) Risto ) (Franklin Allen) -3
  • 6. ( Karjalainen Herbert ) ( Michael Kope ) ( Dawid -, ( Sylvie Geisendorf ) Alfons ) ( Kathrin Happe ) ( Balmann ( Feryal Erhun ) ( Pmar Keskinocak ) ( GA ) ( GA)
  • 7. ( Steps of the Proposed GA for finding the Optimal solution for some Constrained Economic Problems ) (GA) :(Initial Data) -- :A :B : (Initial Generation) : (Fitness Value) -
  • 8.
  • 10. 30 = (Generations) - 60% = (Crossover Rate ) - 4 = (Bit Length) -4 N1 C1= L1= N2 C2= L2= N3 C3= L3= Value = n1 × i1 + n2 × i2 + n3 × i1 Cost = n1 × c1 + n2 × c2 + n3 × c3 ≤ MAX n1, n2, n .MAXc= value (Fitness) (MAXc) (Cost) (Value)