Judul: Analisis Biaya Produksi Minyak Kayu Putih: Studi Kasus di Pabrik Penyulingan Minyak Kayu Putih Sendang Mole, Dinas Kehutanan dan Perkebunan Daerah Istimewa Yogyakarta
Abstrak: Eksistensi indsutri minyak kayu putih (MKP) sangat penting karena memberikan manfaat yang cukup besr baik bagi perekonomian masyarakat sekotar hutan maupun karena kegunaan MKP sebagai bahan obat-obatan, bahan insektisida dan bahan wangi-wangian. Selain itu, tngkat kebutuhan masyarakat akan MKP sangat tinggi. Kebutuhan MKP dalam negeri saat ini mencapai kurang lebih 1500 ton/tahun, sedangkan produksi nasional hanya sekitar 577 ton/tahun. Agar industri ini tetap berkelanjutan, diperlukan suatu sistem manajemen yang menjamin eksistensinya. Berdasarkan permasalahan yang ada pada Perum Perhutani tersebut dan dengan asumsi bahwa sistem pengusahaan minyak kayu putih Dinas Kehutanan dan Perkebunan DIY adlah sama dengan sistem yang diterapkan Perum Perhutani. Tujuan penelitian ini adalaha untuk menghitung biaya produksi MKP yang diusahakan oleh Dinas Kehutanan dan Perkebunan Propinsi DI Yogyakarta dengan memasukan komponen biaya pembangunan hutan tanaman kayu putih .
Keyword: 

Judul: Analisis Biaya dan Analisis Finansial Pengelolaan Minyak Kayu Putih di KPH Yogyakarta.
Abstrak: Minyak kayu putih merupakan hasil hutan bukan kayu yang masih memiliki potensi besar. Kesatuan Pengelolaan Hutan (KPH) Yogyakarta merupakan salah satu usaha penyulingan minyak kayu putih yang ada di Indonesia. Produksi minyak kayu putih dihasilkan dari Pabrik Penyulingan Minyak Kayu Putih Sendang Mole dan Pabrik Penyulingan Minyak Kayu Putih Gelaran dengan produksi rata-rata sebesar 41 741.20 liter dari 4 339.90 ton daun (2014 – 2018). Penelitian ini bertujuan menghitung biaya total pengelolaan minyak kayu putih, menganalisis tingkat kelayakan finansial dan menganalisis tingkat sensitivitas terhadap penurunan pendapatan dan kenaikan biaya. Hasil dari perhitungan biaya total diperoleh sebesar Rp 1 401 580/jam, sementara hasil analisis tingkat kelayakan finansial menggunakan parameter Net Present Value (NPV), Benefit Cost Ratio (BCR), Internal Rate of Return (IRR) dan Payback Period (PP) menunjukkan usaha minyak kayu putih oleh KPH Yogyakarta layak untuk dijalankan dengan nilai NPV sebesar Rp 19 658 558 028, BCR sebesar 1.27, IRR sebesar 11.27% dan PP selama 8 tahun 10 bulan. Melalui analisis tingkat sensitivitas, perubahan maksimum yang dapat ditoleransi terhadap penurunan pendapatan sebesar 21.37% dan kenaikan biaya sebesar 26.92%.
Keyword: biaya, kelayakan finansial, minyak kayu putih

Judul: The Construction of Greedy SVP LLL Algorithm
Abstrak: A lattice is a set of all integer linear combination of a set of linearly independent vectors in ℝ𝑛���. The independent vectors are called bases of lattice. Any lattice can be generated from many bases, and these bases have the same cardinality. In the lattice, the most fundamental and renowned problem is the Shortest Vector Problem (SVP). SVP is a tracking problem of the shortest nonzero vector in a lattice with equivalent bases. In two dimensions, SVP problem has resolved exactly by Gauss’ algorithm. When the lattice dimension is higher than two, A.K. Lenstra, H.W. Lenstra and L. Lovasz gave a LLL algorithm to compute approximation of nonzero shortest vector in the lattice. Reduced bases solution obtained from LLL algorithm still be an approximation and has polynomial running time of arbitrary dimension which large enough. In 1994, Schnoor and Euchner modified this LLL algorithm as a new variant which later was named deep insertion LLL algorithm. This algorithm is a modified version of the LLL algorithm to the terms of the exchange step to improve the accuracy of output of LLL reduced bases and applying it to the subset sum problem. The purpose of this research are: (1) Reconstruct the LLL algorithm and deep insertion LLL algorithm using a geometric approach. (2) Construct a greedy SVP LLL algorithm. (3) Implement the three algorithms in a symbolic programming language, and evaluate them experimentally. A bases ℬ=[𝐛���1,𝐛���2,…,𝐛���𝑛���] in ℝ𝑚��� is called reduced LLL with parameter 𝛿��� if satisfies: (a) |𝜇���𝑗���𝑖���|≤12, for every integer 𝑖���,𝑗��� with 1≤𝑖���<𝑗���<𝑛���. (b)𝛿���‖𝜋���𝑗���(𝐛���𝑗���)‖2≤‖𝜋���𝑗���(𝐛���𝑗���+1)‖2, for 𝑗���=1,2,…,𝑛���−1,where 𝛿��� is a reduced parameter of real numbers with 14<𝛿���<1. The first requirement is the reduced basis 𝛿��� must “nearly orthogonal” and in its computation case, this requirement can be reached out by using the Gram-Schmidt’s orthogonalization. While the second requirement is called exchange step, or used to called as Lovasz condition. By using both of these requirements, then they establish the LLL algorithm. Then, Schnoor and Euchner modify the LLL algorithm based on the requirements of the exchange step called the deep insertion LLL algorithm, where the exchange step is based on the comparison of the projected vector in orthogonal complement [𝐛���1,𝐛���2,…,𝐛���𝑘���−1]⊥ after j-th reduction. To construct greedy SVP LLL algorithm, the requirements of the exchange step is based on purely by comparing norm of lattice 𝐛���𝑗��� with norm lattice 𝐛���𝑖��� for 𝑖���=1,2,3…,𝑗���−1. The process of insertion reduced vector after the exchange step also has done greedily. Then, we calculate the number of arithmetic operation in greedy SVP LLL algorithm for further analysis. The result of our exprimentation for three algorithms on the certain matrix size shows that the running time of the three algorithms increases propotional to the size of the matrix. The result also shows that by using 𝛿���=34 for the LLL algorithm and the deep insertion LLL algorithm, and the greedy SVP LLL algorithm which is a new variant made by using no parameter of 𝛿���, outperform of the other of two previous algorithm in terms of speed with the same output.
Keyword: LLL algorithm, LLL deep insertion algorithm, greedy SVP LLL algorithm