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TEKNIK RISET OPERASI MUH.AFDAN SYARUR CHAPTER.3

TEKNIK RISET OPERASI MUH.AFDAN SYARUR CHAPTER.3. METODE SIMPLEKS YANG DIREVISI. Iterasi Simpleks Dalam Bentuk Matriks.

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TEKNIK RISET OPERASI MUH.AFDAN SYARUR CHAPTER.3

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  1. TEKNIK RISET OPERASI MUH.AFDAN SYARUR CHAPTER.3

  2. METODE SIMPLEKS YANG DIREVISI NURHALIMA

  3. IterasiSimpleksDalamBentukMatriks Selamaiterasi, nilai-nilaivektordanmatriks di atastidakberubahkecualinilaimatriks B-1 . XBdan CBakanberubahpadasetiapiterasitergantungdarivektormasukdankeluar. NURHALIMA

  4. CONTOH NURHALIMA

  5. NURHALIMA

  6. NURHALIMA

  7. Langkah-LangkahPenyelesaian • Penentuanvektormasuk (Pj) sekaliguspemeriksaanoptimalitas • Hitung Y = CBB-1 • UntuksetiapvektorPj non basis, hitung zj – cj = Ypj – cj Solusi optimal sudahdiperolehjika (zj – cj ) ≥ 0 untukfungsitujuanmaksimasi , atau (zj – cj )≤ 0 untukminimasi NURHALIMA

  8. Solusioptimalnyaadalah : XB = B-1 b dan z = CB XB • Jikabelum optimal, makavektorkeluaradalahvektordengannilai (zj – cj ) negatifterbesaruntukfungsitujuanmaksimasiataupositifterbesaruntukminimasi. • Penentuanvektorkeluar , Pr Untukvektormasuk yang sudahditentukanpadalangkah 1, hitung : • Nilaivariabel basis saatitu : XB = B-1 b • Koefisienpembatasvariabelmasuk : j = B-1Pj • Vektorkeluarbaikuntukmaksimasimaupunminimasidiberikanoleh : NURHALIMA

  9. Penentuan basis berikutnya : Diberikan basis saatiniadalah B-1, hitung : B-1next = EB-1 E adalahmatriksidentitas (B-1awal) denganelemenkolomPrdigantiolehnilaiξ . NURHALIMA

  10. Kembalikelangkah 1 NURHALIMA

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  18. ARIGATO  NURHALIMA

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