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  "chat": "[{\"id\":\"aaa2c7cf-37c5-4863-9043-ca3b2484ee2a\",\"role\":\"user\",\"content\":\"buatlah hasil dan pembahasan model aljabar maxplus alur pendaftaran mahasiswa universitas lampung dengan ketentuan 1. Model dimulai setelah mahasiswa melakukan kompre.\\n2. Waktu yang dibutuhkan untuk revisi sampai dengan cetak skripsi adalah 7 hari.\\nKeterangan :\\n      a. Pengerjaan revisi \\n      b. Mengajukan draf ke dosen pembimbing dan dosen penguji\\n      c. Acc cetak skripsi\\n3. Waktu yang dibutuhkan untuk cetak skripsi adalah 3 hari\\nKeterangan : \\n       a. Antre di percetakan\\n       b. Proses mencetak skripsi\\n4. Waktu yang dibutuhkan untuk mendapatkan TTD Dosen adalah 2 hari\\n        a. TTD dosen pembimbing 1 \\u0026 2, dosen penguji, dan ketua jurusan.\\n        b. Keberadaan dosen masih di dalam kota.\\n5. Acc Admin jurusan (surat 3) \\n6. TTD Dekan minimal 1 hari\\n\\n\"},{\"id\":\"cd276258-094a-4b7f-9462-a5d55e92553e\",\"role\":\"assistant\",\"content\":\"Hasil dan Pembahasan Model Aljabar Max-Plus untuk Alur Pendaftaran Mahasiswa Universitas Lampung\\n\\nDalam alur pendaftaran mahasiswa Universitas Lampung, proses dimulai setelah mahasiswa melakukan komprehensif. Kita dapat menggunakan aljabar max-plus untuk memodelkan waktu yang dibutuhkan untuk setiap tahapan dalam proses tersebut. Berikut adalah tahapan dan waktu yang dibutuhkan berdasarkan keterangan yang diberikan:\\n\\nPengerjaan Revisi hingga Cetak Skripsi (7 hari)\\n\\n𝑎\\n.\\na. Pengerjaan revisi\\n𝑏\\n.\\nb. Mengajukan draf ke dosen pembimbing dan dosen penguji\\n𝑐\\n.\\nc. Acc cetak skripsi\\n\\nCetak Skripsi (3 hari)\\n\\n𝑎\\n.\\na. Antre di percetakan\\n𝑏\\n.\\nb. Proses mencetak skripsi\\n\\nMendapatkan TTD Dosen (2 hari)\\n\\n𝑎\\n.\\na. TTD dosen pembimbing 1 \\u0026 2, dosen penguji, dan ketua jurusan\\n𝑏\\n.\\nb. Keberadaan dosen masih di dalam kota\\n\\nAcc Admin Jurusan\\n\\nTTD Dekan (1 hari)\\n\\nModel Aljabar Max-Plus\\n\\nMari kita definisikan setiap tahapan sebagai sebuah variabel dan gunakan aljabar max-plus untuk menghitung waktu total yang dibutuhkan.\\n\\n𝑥\\n1\\nx\\n1\\n\\t​\\n\\n: Revisi hingga cetak skripsi\\n𝑥\\n2\\nx\\n2\\n\\t​\\n\\n: Cetak skripsi\\n𝑥\\n3\\nx\\n3\\n\\t​\\n\\n: Mendapatkan TTD dosen\\n𝑥\\n4\\nx\\n4\\n\\t​\\n\\n: Acc admin jurusan\\n𝑥\\n5\\nx\\n5\\n\\t​\\n\\n: TTD Dekan\\n\\nWaktu yang dibutuhkan untuk setiap tahapan adalah sebagai berikut:\\n\\n𝑥\\n1\\n=\\n7\\nx\\n1\\n\\t​\\n\\n=7 hari\\n𝑥\\n2\\n=\\n3\\nx\\n2\\n\\t​\\n\\n=3 hari\\n𝑥\\n3\\n=\\n2\\nx\\n3\\n\\t​\\n\\n=2 hari\\n𝑥\\n4\\n=\\n0\\nx\\n4\\n\\t​\\n\\n=0 hari (diasumsikan tidak membutuhkan waktu tambahan)\\n𝑥\\n5\\n=\\n1\\nx\\n5\\n\\t​\\n\\n=1 hari\\n\\nDengan aljabar max-plus, operasi penjumlahan digantikan dengan operasi maksimum (\\n⊕\\n⊕), dan operasi perkalian digantikan dengan penjumlahan biasa (\\n⊗\\n⊗). Dalam konteks ini, kita mencari waktu total sebagai:\\n\\n𝑇\\n=\\n𝑥\\n1\\n⊕\\n(\\n𝑥\\n1\\n⊗\\n𝑥\\n2\\n)\\n⊕\\n(\\n𝑥\\n1\\n⊗\\n𝑥\\n2\\n⊗\\n𝑥\\n3\\n)\\n⊕\\n(\\n𝑥\\n1\\n⊗\\n𝑥\\n2\\n⊗\\n𝑥\\n3\\n⊗\\n𝑥\\n4\\n)\\n⊕\\n(\\n𝑥\\n1\\n⊗\\n𝑥\\n2\\n⊗\\n𝑥\\n3\\n⊗\\n𝑥\\n4\\n⊗\\n𝑥\\n5\\n)\\nT=x\\n1\\n\\t​\\n\\n⊕(x\\n1\\n\\t​\\n\\n⊗x\\n2\\n\\t​\\n\\n)⊕(x\\n1\\n\\t​\\n\\n⊗x\\n2\\n\\t​\\n\\n⊗x\\n3\\n\\t​\\n\\n)⊕(x\\n1\\n\\t​\\n\\n⊗x\\n2\\n\\t​\\n\\n⊗x\\n3\\n\\t​\\n\\n⊗x\\n4\\n\\t​\\n\\n)⊕(x\\n1\\n\\t​\\n\\n⊗x\\n2\\n\\t​\\n\\n⊗x\\n3\\n\\t​\\n\\n⊗x\\n4\\n\\t​\\n\\n⊗x\\n5\\n\\t​\\n\\n)\\n\\nMari kita hitung waktu totalnya:\\n\\nRevisi hingga Cetak Skripsi:\\n\\n𝑥\\n1\\n=\\n7\\nx\\n1\\n\\t​\\n\\n=7\\n\\nCetak Skripsi:\\n\\n𝑥\\n1\\n⊗\\n𝑥\\n2\\n=\\n7\\n+\\n3\\n=\\n10\\nx\\n1\\n\\t​\\n\\n⊗x\\n2\\n\\t​\\n\\n=7+3=10\\n\\nMendapatkan TTD Dosen:\\n\\n𝑥\\n1\\n⊗\\n𝑥\\n2\\n⊗\\n𝑥\\n3\\n=\\n7\\n+\\n3\\n+\\n2\\n=\\n12\\nx\\n1\\n\\t​\\n\\n⊗x\\n2\\n\\t​\\n\\n⊗x\\n3\\n\\t​\\n\\n=7+3+2=12\\n\\nAcc Admin Jurusan:\\n\\n𝑥\\n1\\n⊗\\n𝑥\\n2\\n⊗\\n𝑥\\n3\\n⊗\\n𝑥\\n4\\n=\\n7\\n+\\n3\\n+\\n2\\n+\\n0\\n=\\n12\\nx\\n1\\n\\t​\\n\\n⊗x\\n2\\n\\t​\\n\\n⊗x\\n3\\n\\t​\\n\\n⊗x\\n4\\n\\t​\\n\\n=7+3+2+0=12\\n\\nTTD Dekan:\\n\\n𝑥\\n1\\n⊗\\n𝑥\\n2\\n⊗\\n𝑥\\n3\\n⊗\\n𝑥\\n4\\n⊗\\n𝑥\\n5\\n=\\n7\\n+\\n3\\n+\\n2\\n+\\n0\\n+\\n1\\n=\\n13\\nx\\n1\\n\\t​\\n\\n⊗x\\n2\\n\\t​\\n\\n⊗x\\n3\\n\\t​\\n\\n⊗x\\n4\\n\\t​\\n\\n⊗x\\n5\\n\\t​\\n\\n=7+3+2+0+1=13\\n\\nMenggunakan operasi maksimum, kita dapatkan waktu total:\\n\\n𝑇\\n=\\nmax\\n⁡\\n(\\n7\\n,\\n10\\n,\\n12\\n,\\n12\\n,\\n13\\n)\\n=\\n13\\nT=max(7,10,12,12,13)=13\\n\\nKesimpulan\\n\\nWaktu total yang dibutuhkan untuk menyelesaikan seluruh proses pendaftaran mahasiswa setelah komprehensif di Universitas Lampung adalah 13 hari. Model aljabar max-plus menunjukkan bahwa setiap tahapan memiliki kontribusi yang bertahap terhadap keseluruhan waktu penyelesaian, dan tahapan dengan waktu terlama akan menentukan waktu total.\"}]",
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}