Judul: Usaha penyelamatan beta karoten pada ekstraksi minyak sawit dengan Hydraulic Presser
Abstrak: Industri sawit dewasa ini merupakan tambang emas yang sangat potensial. Di Indonesia pembangunan industri sawit telah meluas di 15 propinsi (Indonesia Business Weekly, 1992). Kenaikan produksi pada perkebunan sawit di Indone- sia sekitar 14% setiap 5 tahun, maka diperkirakan pada tahun 1957 akan tercapai produksi sekitar 92 juta ton lebih. Di dalam minyak sawit terkandung pigmen karotenoid dengan kadar ẞ karoten yang cukup tinggi, yang nilainya setara dengan 60.000 IU aktivitas vitamin A. Dalam pengo- lahan buah sawit menjadi minyak sawit (CPO) selalu terjadi kerusakan karotenoid pada sawit terutama B karoten, hal ini karena minyak sawit yang diinginkan adalah minyak sawit yang tidak berwarna. Cara pengolahan yang relatif murah dan sering diguna- kan dalam industri adalah ekstraksi dengan cara mekanik. Hydraulic press merupakan salah satu alat yang digunakan dalam ekstraksi cara mekanik. Tujuan penelitian ini adalah mencoba menyelamatkan B- karoten minyak sawit hasil ekstraksi menggunakan hydraulic presser....
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Judul: Optimasi proses produksi dan karakterisasi produk serta pendugaan umur simpan olein minyak sawit merah
Abstrak: Minyak sawit merupakan sumber karotenoid alami. Kadar karotenoid dalam minyak sawit berkisar 500 - 700 ppm. Namun, pada proses pemurnian minyak sawit industri minyak goreng selama ini, terutama bleaching, hampir semua karotenoidnya sengaja dihilangkan untuk mendapatkan minyak yang benvarna kuning keernasan. Padahal karotenoid memiliki fungsi sebagai provitamin A dan memiliki aktivitas antioksidan yang bermanfaat menangkal radikal bebas sebagai penyebab kanker. Hal ini didukung oleh penelitian mutakhir yang menemukan adanya hubungan antara konsumsi pangan kaya karotenoid dengan penurunan tejadinya kanker. Oieh karena itu, diperlukan penelitian untuk menyelamatkan komponen bioaktif dalam minyak sawit ini.
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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