Judul: Analisis kelayakan finansial dan ekonomi budidaya jamur tiram putiih (pleurotus astreoatus) (studi kasus PT Cipta Daya Agrijaya di Kebun Percobaan Cikarawang IPB, Darmaga, Bogor, Jawa Barat)
Abstrak: Sektor pertanian merupakan sektor unggulan yang mampu menopang dan menggerakan roda perekonomian. Seiring dengan meningkatnya jumlah penduduk dan pesatnya kemajuan teknologi, peranan sektor pertanian menjadi semakin dominan baik untuk memenuhi kebutuhan manusia akan pangan maupun bahan baku industri. Pada sektor pertanian, hortikultura menjanjikan prospek yang besar untuk dikembangkan. Hal ini terkait dengan banyaknya varietas hortikultura yang memiliki nilai ekonomi tinggi apabila dibudidayakan secara tepat. Salah satu produk hortikultura yang memiliki nilai komersial dan sudah banyak diminati oleh para investor adalah jamur tiram putih.
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Judul: Analisis kelayakan finansial budidaya jamur tiram(Pleurotus sp) pada usaha agribisnis supa tiram mandiri, Bogor
Abstrak: Secara umum, Indonesia sebagai salah satu negara yang beriklim tropis mempunyai potensi dan kesempatan yang cukup besar untuk memanfaatkan peluang usaha di bidang hortikultura. Krisis ekonomi yang melanda Indonesia dengan ditandai semakin merosotnya nilai tukar rupiah terhadap dollar menyebabkan mulai langkanya produk-produk impor, karena harganya yang semakin tinggi. Selain itu pada keadaan krisis ekonomi ini lowongan kerja semakin sulit didapat, dan banyak proyek yang berbasiskan pada industri terpaksa dihentikan karena mahalnya harga bahan baku. Hal ini mengakibatkan tenaga kerja banyak yang diberhentikan. Karena lowongan kerja semakin sulit didapat, orang mulai berpikir untuk menciptakan lapangan kerja dengan mulai melirik ke arah pertanian. Kondisi diatas membuka peluang bisnis baru bagi para investor yang ingin bemsaha dalam bidang pertanian, yaitu khususnya budidaya jamur tiram.
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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