Judul: Pengendalian Kualitas Pada Proses Produksi Kertas Medium di PT Indah Kiat Pulp & Paper, Serang Mill
Abstrak: Paper with several sizes plays an important role in human life especially in modern society. Now paper becomes one of human needs and is used in various cases. With times, the paper consumption surely increases because of paper characteristics easily used, practical, light, cheap and can be recycled. Based on rising need of paper, it is a challenge for thefact01Y to increase the quality, capacity, and technology in the paper production. Qualified product is affected by production level through monitoring for each level of the production process. Quality management can be used for quality control, so that it can minimize product damage. The research was conducted at PT Indah Kiat Pulp and Pap~r, Serang mill (PT IKP P). The objective of the research is to identifY level factors of production process that influence final product quality, to analyze pelformance of production process, and main parameter of product quality by using quality management technique namely cause and effect diagram and control chart, identifYing the process instability systems and analyzing the correction process by using information ji-om observation, literature study and expert opinion in the research plant.
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Judul: Proses Produksi dan Pengendalian Kualitas Kertas PPC 80 g/m di PT. Pindo Deli Pulp and Paper Mills, Karawang - Jawa Barat
Abstrak: Perkembagan industri kertas Indonesia akan terus meningkat, persaingan antar produsen kertas akan semakin ketat sehingga perusahaan akan saling berusaha meningkatkan kualitas kertas yang dihasilkan agar tetap diterima di pasaran luas. Selain dari itu ketersediaan bahan baku yang lancar dan memenuhi kualitas yang baik merupakan syarat untuk kelangsungan proses produksi. Dapat dipastikan suatu saat kelangkaan bahan baku akan dialami oleh setiap produsen kertas, oleh karena itu setiap perusahaan akan di tuntut untuk dapat mengoptimalkan penggunaan bahan baku secara baik dan efisien serta memastikan proses produksi tetap terkendali sehingga dapat diterima secara has. Salah satu cara untuk mencegah pengunaan bahan baku secara tidak efisien yaitu dengan mengadakan pengendalian produk yang dihasilkan dan mengontrol proses produksi melalui peta pengawasan.
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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