Judul: Estimasi Nilai Kerugian Ekonomi Masyarakat Akibat Pencemaran di Sekitar Kawasan Pabrik Bijih Plastik (Studi Kasus: Kelurahan Cirimekar, Kecamatan Cibinong, Kabupaten Bogor).
Abstrak: Aktivitas industri tidak hanya memberikan manfaat tetapi dapat menimbulkan eksternalitas negatif seperti penurunan tingkat kualitas lingkungan. Kelurahan Cirimekar merupakan kelurahan yang terkena eksternalitas negatif akibat pencemaran di sekitar pabrik pengolahan bijih plastik. Penelitian ini bertujuan untuk mengidentifikasi eksternalitas negatif dan persepsi masyarakat terhadap pencemaran serta mengestimasi besarnya nilai kerugian ekonomi yang ditanggung oleh masyakat akibat pencemaran. Penelitian ini menggunakan metode analisis deskriptif, skala likert, cost of illness, loss of earnings dan replacement cost. Hasil dari penelitian ini menunjukkan bahwa masyarakat merasakan pencemaran air tanah, pencemaran udara dan debu, serta kebisingan suara. Hasil dari estimasi total kerugian ekonomi masyarakat diperoleh sebesar Rp 210 792 872/tahun.
Keyword: cost of illness, kerugian ekonomi, loss of earning, pencemaran replacement cost

Judul: Estimasi Nilai Kerugian Masyarakat Akibat Pencemaran Air Tanah di Sekitar Kawasan Industri (Studi Kasus Industri Keramik di Kelurahan Nanggewer, Kabupaten Bogor)
Abstrak: One of the activities of economy, like an industrial activity may reduce the level of environmental quality. The study of the estimation of both external cost and public compensation (WTA), the effects toward environment caused by industrial activities is needed to achieve sustainable development. The objectives of this study are to identify the negative externality effect of the industry activity, to estimate economic losses and WTA value caused by industrial activities, and to identify the factors that influence WTA value. This paper presents explores the descriptive analysis, valuation of environmental economics, and application of Contingent Valuation Methods (CVM). The result shows that the economic loss of each household per month is IDR 125,716.67 and the average values of household’s WTA per month is IDR 497,674.42. There are seven factors those influence WTA value significantly such as age, gender, income, economic loss caused by replacement cost, education level, the distance between houses and industry area, and economic loss caused by medical cost.
Keyword: Willingness to Accept (WTA), estimation, economic losses, CVM, ceramic industry

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