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Analisis Sensitivitas

Analisis Sensitivitas. Analisis Sensitivitas. Bagaimana pengaruh perubahan data terhadap solusi optimum Memberikan jawaban atas pertanyaan : Sampai seberapa jauh perubahan dibenarkan tanpa mengubah solusi optimum atau tanpa menghitung solusi optimum dari awal. Analisis Sensitivitas.

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Analisis Sensitivitas

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  1. AnalisisSensitivitas

  2. AnalisisSensitivitas • Bagaimanapengaruhperubahan data terhadapsolusi optimum • Memberikanjawabanataspertanyaan : • Sampaiseberapajauhperubahandibenarkantanpamengubahsolusi optimum atautanpamenghitungsolusi optimum dariawal

  3. AnalisisSensitivitas • Kendalamana yang dapatdilonggarkan (dinaikkan) danseberapabesarkelonggarandapatdiberikansehinggamenaikkannilai z tetapitanpamelakukanpenghitungandariawal. Kendalamana yang dapatditurunkantanpamelakukanperhitungandariawal • Kendalamana yang dapatprioritasuntukdinaikkan • Seberapabesarkoefisienfungsitujuandapatdibenarkanuntukberubahtanpamengubahsolusi optimal

  4. ContohSoal: • Perusahaan shaderakanmemprediksibarangandalaannyayaituIpoddan Jam-TV. SetiapIpodmembutuhkan 4 jam pengerjaanelektronikdan 2 jam perakitan. Jam-TV membutuhkan 3 jam pengerjaanelektronikdan 1 jam perakitan. Tersediawaktu 240 jam PE dam 100 jam perakitan. SetiapIpodlaba $7 dan Jam-TV $5 • Hitungkombinasi optimum

  5. Maksimumkan 7X1 + 5X2 FungsiKendala 4X1 + 3X2 ≤ 240 2X1 + X2 ≤ 100 X1 ≥ 0 X2≥ 0

  6. X2 3X1+X2=240 Solusi Optimum tercapaipadatitik C perpotongangaris [1] 3X1+X2= 100 [2]4X1+2X2 = 240 Dimana X1 = 30 dan X2 = 40 NilaiKeuntungan = $410 4X1+2X2=100 100 80 A C 40 B X1 0 50 60

  7. X2 2X1+X2=110 Nilai Optimum padatitik C perpotongangaris [1] 2X1+X2= 110 [2]4X1+3X2 = 240 Dimana X1 = 15 dan X2 = 20 NilaiKeuntungan = $415 110 4X1+3X2=240 80 A C 40 Hambatan Jam PE tidakberubah B X1 0 60

  8. X2 Perubahan Jam Perakitandari 2X1+x2=100 menjadi 2X1+x2 = 90 2X1+X2=90 Nilai Optimum tercapaipadatitik C perpotongangaris [1] 2X1+X2= 90 [2]4X1+3X2 = 240 Dimana X1 = 15 dan X2 = 60 NilaiKeuntungan = $405 4X1+3X2=240 100 90 80 C 40 B X1 0 50 60

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