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Δασική Διαχειριστική Ι PowerPoint PPT Presentation


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Δασική Διαχειριστική Ι. Διδάσκων Δημήτριος Καραμανώλης, Επίκουρος Καθηγητής Μάθημα 5 ο Εργαστήριο Δασικής Διαχειριστικής & Τηλεπισκόπησης. ΠΑΡΑΔΕΙΓΜΑ. Ανάπτυξη σχεδίου δράσης για παραγωγή ξυλείας και αναψυχή. Αντικειμενική συνάρτηση. Μεταβλητές αποφάσεων:

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Δασική Διαχειριστική Ι

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4278592

,

5

&


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:

x1 =

x2 =

/

. = 200* x1 + 275* x2


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:

  • x1 + x2 10000 ha

  • 4x1 + 1,5x2 20000 m3

  • 20*x2 18000

  • .

    20*x2 100000


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  • , .


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1.

  • 5000 / 5000 /. : 5000*80 + 5000*130 = 1050000 .

  • : . . 900000 :

    80*x1 + 130*x2 900000


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2 2 .

2. / :

  • /

  • /

    -

  • ..


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  • :

    . = 4*x1+ 1,5*x2

  • x1 + x2 10000 ha

  • 4 x1 + 1,5 x2 20000 m3

  • 20* x2 18000

  • .

    20* x2 100000

  • 80*x1 + 130*x2 900000


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yt+1 = Gt (yt ht) + It


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Y 1 t y 2 t y 3 t y 4 t

y1,t, y2,t, y3,t, y4,t

  • y1,t+1 = a1y1,t + It

  • y2,t+1 = b1y1,t + a2y2,t

  • y3,t+1 = b2y2,t + a3y3,t

  • y4,t+1 = b3y3,t + a4y4,t


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, 10

y1,t+1 = 0,85y1,t + It

y2,t+1 = 0,10y1,t + 0,90y2,t

y3,t+1 = 0,06y2,t + 0,90y3,t

y4,t+1 = 0,04y3,t + 0,95y4,t


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.

  • It ( / / 10 ) = 116 8,4Gt(2 / ) + 0,3 t ( / ) R2 = 0,74

    t = y1,t, + y2,t, + y3,t, + y4,t

    Gt = 0,02y1,t + 0,03y2,t + 0,07y3,t + 0,15y4,t

    :

    It = 116 8,4(0,02y1,t + 0,03y2,t + 0,07y3,t + 0,15y4,t ) + 0,3( y1,t + y2,t, + y3,t + y4,t).


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y1,t+1 = 0,71y1,t + 0,05y2,t 0,29y3,t 0,96y4,t + 116

y2,t+1 = 0,10y1,t + 0,90y2,t

y3,t+1 = 0,06y2,t + 0,90y3,t

y4,t+1 = 0,04y3,t + 0,95y4,t


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  • y1,0 = 138, y2,0 = 156, y3,0 = 117, y4,0 = 104.

y1,1 = 0,71138 + 0,05 x156 0,29x117 0,96x104 + 116 = 88

y2,1 = 0,101+ 0,90x156 = 154

y3,1 = 0,06x156 + 0,90x117 = 115

y4,1 = 0,04x117+ 0,95x104 = 103


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i


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yi,t+1 = yi,t = yi i = 1,2,3,4 t.

yi,t+1 yi,t yi

:

y1 = 0,71y1 + 0,05y2 0,29y3 0,96y4 + 116

y2 = 0,10y1 + 0,90y2

y3 = 0,06y2 + 0,90y3

y4 = 0,04y3 + 0,95y4


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  • y1,t+1 = 0,71(y1,t h1,t) + 0,05(y2,t h2,t) 0,29(y3,t h3,t) 0,96(y4,t h4,t) + 116

  • y2,t+1 = 0,10(y1,t h1,t)+ 0,90(y2,t h2,t)

  • y3,t+1 = 0,06(y2,t h2,t) + 0,90(y3,t h3,t)

  • y4,t+1 = 0,04(y3,t h3,t) + 0,95(y4,t h4,t)


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yi,t+1 = yi,t = yi hi,t+1 = hi,t = hi i = 1,2,3,4

:

y1 = 0,71(y1 h1) + 0,05(y2 h2) 0,29(y3 h3) 0,96(y4 h4) + 116

y2 = 0,10(y1 h1)+ 0,90(y2 h2)

y3 = 0,06(y2 h2) + 0,90(y3 h3)

y4 = 0,04(y3 h3) + 0,95(y4 h4)


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  • Q = 0,06(3/)h1 + 0,19h2 + 0,69h3 + 1,50h4 max


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yt+1 = Gtyt+ c:


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  • yt :

  • y t+2 = Gy t+1 + c = G(Gy t+ c) + c = G2yt + Gc + c

    G c

    :


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10


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y1 = 0,83(y1 h1) 0,55(y2 h2) -1,75(y3 h3) + 76,8

y2 = 0,07(y1 h1) + 0,80(y2 h2) -0,04(y3 h3) + 1,6

y3 = 0,04(y2 h2) + 0,81(y3 h3)


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:

y1 y2 y3 h1 h2 h3 RHS

c10,17 0,55 1,75 0,83 -0,55 -1,75 = 76,8

c2 -0,07 0,20 0,04 0,07 0.80 -0,04 = 1,6

c3 -0,04 0,19 0,04 0,81 = 0

c4 1 -1 0

c5 1 -1 0

c6 1 -1 0


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5 10 :

PH = VH * 1,0510 / 1,0510 1

VH :

ZPV = PH VS =

= 7,8 h1 + 10,4h2 +25,9h3 3y1 4y2 - 10y3


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y = G(y-h) + c

y h 0

h 0


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1200 , .

75000 1 2 . 9000 . . 1000 300.000 . 500 . /. 50 . 12000 /. . 12.000.000 .


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: . =

:

X1 = o

X2 = 1000 .


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75000( ./) * x1 ( )

300000(./) * x2 ( )

MinZ = 75000 x1 + 300000 x2


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:

x1+ 2x2 1200

12000 * 2 = 24000/

9000/

9x1 + 24 x2 12000


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1.

.

2. () ,

.

3. .

4.

,

.

,

..

5.

,

6. .


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= 11 + 22 + ...... + nn

1,11 + 1,22 + ...... + 1,nnc1

2,11 + 2,22 + ...... + 2,nnc2

..................................................................................

m,11 + m,22 + ...... + m,nncm


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y1, y2 ..... ym ,

= c1y1 + c2y2 + ...... + cmym

:

1,1y1 + 2,1y2 + ...... + m,1ym1

1,2y1 + 2,2y2 + ...... + m,2ym 2....................................................

1,ny1 + 2,ny2 + ...... + m,nym n


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