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IKG2B3 2033 Metoda Komputasi. Silabus. Pemodelan Matematika Fungsi multivariable Metode Gradient Descent/Ascent Pengenalan Maple/ Matlab Implementasi metode gradient descent/ascent dalam Maple/ Matlab Masalah-masalah optimasi dalam bentuk lain. Silabus.

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silabus
Silabus
  • PemodelanMatematika
  • Fungsimultivariable
  • MetodeGradient Descent/Ascent
  • PengenalanMaple/Matlab
  • Implementasimetode gradient descent/ascent dalam Maple/Matlab
  • Masalah-masalahoptimasidalambentuklain
silabus1
Silabus

7. MasalahOptimasidengankendala

8. Metode Conjugate Gradient

9. Implementasimetode conjugate gradient

slide4

Evaluasi :

UTS : 30 %

UAS : 30 %

Tugas/Quis : 40 %

slide5

Penilaian ( N = Skala 100 )

A : N  80

B : 65  N < 80

C : 50  N < 65

D : 35  N < 50

E : N < 35

referensi
Referensi
  • 1) PRACTICAL MATHEMATICAL OPTIMIZATION An Introduction to Basic Optimization Theory and Classical and New Gradient-Based Algorithms, Jan A. Snyman, Springer, 2005.
  • 2) Numerical Optimization, Jorge Nocedal and Stephen J. Wright, Second Edition, Springer, 2000..
pemodelan

Pemodelan

Pemodelanmatematika: suatuupayauntukmenyatakansuatumasalahnyatamelaluibahasamatematika.

bentuk model matematika
Bentuk Model Matematika

Model matematikadapatberupa:

  • Sistempersamaan : persamaan linear, kuadrat, persamaandifferensialbiasa, persamaandifferensialparsialdll
  • Prosesstokastik/probabilistik : model antrian, rantai Markov, dll
  • Algoritma : model evolusi, jaringansyaraf, dll
tahapan penyelesaian masalah
TahapanPenyelesaianMasalah

MasalahNyata

Ya/Stop

Memuaskan?

Tidak

Asumsi-Asumsi

Validasi

Model Matematika

InterpretasiSolusi

MasalahKomputasi

Solusi

slide10

Problem

Location Base Service ( LBS)

  • What is location-based service? LBS is an information and entertainment service, accessible with mobile devices through the mobile network and utilizing the ability to make use of the geographical position of the mobile device
slide13

(c,d)

(x,y)

(a,b)

(e,f)

slide14

(x,y) = ?

(a,b) koordinat (posisi) BTS 1

(c,d) koordinat (posisi) BTS 2

(e,f) koordinat (posisi) BTS 3

slide15

Terhadap BTS pertama :

Terhadap BTS kedua :

Terhadap BTS ketiga :

slide16

Syaratdiatasdapatdituliskandalambentuk

Menentukanposisi mobile phone = meminimumkanfungsi

Terhadap x dan y

Atau

Min F(x,y)

x,y