Judul: Analisis penerapan kebijakan pengendalian pencemaran udara dari kendaraan bermotor berdasarkan estimasi beban emisi (Studi kasus : DKI Jakarta)
Abstrak: Meningkatnya penggunaan kendaraan bermotor di Jakarta mengakibatkan menurunnya kualitas udara ambien yang disebabkan oleh meningkatnya pencemar yang diemisikan oleh kendaraan bermotor. Jenis dan besarnya pencemar tergantung pada kondisi kendaraan dan kualitas bahan bakar yang digunakan. Proses pembakaran bahan bakar akan mengeluarkan unsur dan senyawa-senyawa pencemar (polutan) ke udara, seperti partikel debu, karbon monoksida, hidrokarbon, oksida-oksida nitrogen (NOx), sulfur dioksida (SO2) dan gas rumah kaca (CO2, CH4, N2O). Apabila kadar dari unsur pencemar yang di keluarkan itu melebihi baku mutu emisi yang ditentukan maka dapat mengganggu kualitas lingkungan (udara, air, tanah dan bangunan) serta kesehatan manusia.
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Judul: Estimasi nilai pajak emisi kendaraan bermotor roda dua di DKI Jakarta
Abstrak: Jakarta merupakan salah satu kota dengan jumlah penduduk yang tinggi, dengan kepadatan penduduk mencapai 15.200/km2. Jumlah penduduk yang tinggi mendorong meningkatnya jumlah kendaraan sebagai alat transportasi. Jenis kendaraan bermotor terbanyak di DKI Jakarta adalah sepeda motor yang memiliki jumlah terbanyak sebanyak 11.949.280 unit atau 73,8 %. Jakarta merupakan provinsi dengan jumlah kendaraan bermotor terbanyak di Indonesia, selanjutnya Provinsi Jawa Tengah dan Jawa Timur. Tingginya jumlah kendaraan bermotor menimbulkan masalah pencemaran udara karena emisi yang dihasilkan dari sisa pembakaran bahan bakar. Pencemaran udara menyebabkan kerugian masyarakat, termasuk kerugian dalam hal kesehatan. Penelitian ini bertujuan untuk mengestimasi nilai pajak emisi yang dihasilkan kendaraan bermotor roda dua menggunkan metode biaya kesehatan. Estimasi kerugian masyarakat akibat emisi kendaraan berbahan bakar bensin berdasarkan biaya penyakit sebesar Rp 4.104.516.973.000 per tahun. Kemudian dari biaya sakit, estimasi tarif pajak emisi untuk sepeda motor dapat dihitung sebesar Rp 137.390,65 per kendaraan per tahun. Persepsi masyarakat tentang polusi udara di Jakarta adalah mayoritas masyarakat sangat setuju jika kenaikan jumlah sepeda motor dapat memperburuk kondisi udara yang tercemar. Sedangkan persepsi key person terhadap polusi udara adalah mayoritas sangat setuju bahwa polusi udara di Jakarta memiliki dampak negatif pada kesehatan. Persepsi tentang penetapan pajak emisi, baik masyarakat maupun key person setuju bahwa pajak emisi bisa menjadi solusi dalam mengurangi polusi udara.
Keyword: Air Pollution, Cost of illness, Emission tax rate, Motorcycle emissions

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