Judul: Six Sigma Implementation in Quality Control System at PT. Air Gunung Salak
Abstrak: Permintaan Air minum dalam kemasan setiap tahun semakin meningkat, sehingga persaingan yang terjadi membawa setiap pelaku industri untuk meningkatkan nilai dari produk yang dihasilkan dengan cara melakukan pengendalian kualitas terhadap tingkat kerusakan produk (product defect) sampai pada tingkat kerusakan nol (zero defect). Tujuan penelitian ini adalah untuk mengetahui permasalahan utama dan faktor yang mempengaruhi dalam pengendalian mutu di PT. Air Gunung Salak. Pengolahan data dilakukan dengan perhitungan six sigma didapat Defect per Unit sebesar 0,028996661. Sedangkan Defect per Million Opportunity sebesar 5.799,3, apabila di konversi ke dalam tabel sigma didapat nilai sigma sebesar 4,02. Critical To Quality untuk product reject yaitu Reject air, Kotor Dalam, Reject Galon, Reject Cup dan Reject seal dan permasalahan utama adalah Reject Air dengan rekomendasi rancangan perbaikan yang disarankan dengan memperketat pengawasan pada proses pendistribusian ke pelanggan dengan melakukan pengantaran pada pagi atau malam hari., The demand for bottled drinking water is increasing every year, so that the competition that occurs brings every industry player to increase the value of the products produced by controlling the quality of the level of product defects to zero defects. The purpose of this study was to determine the main problems and factors that influence quality control at PT. Air Gunung Salak. Data processing is done by calculating the six sigma obtained Defect per Unit of 0,028996661. Meanwhile, Defect per Million Opportunity is 5.799,3, when converted into the sigma table, the sigma value is 4,02. Critical To Quality for reject products, namely water rejects, dirty gallon water, gallon rejects, cup rejects and seal rejects and the main problem is water rejects with recommendations for improvement designs by tightening supervision on the distribution process to customers by delivering in the morning or evening.
Keyword: Bottled Drinking Water, Quality Control, reject, Six Sigma

Judul: Sistem Pengendalian Mutu Terhadap Kemasan Botol Produk Oxywater di PT Tirta Alam Semesta.
Abstrak: The quality development process of the product can not be separated with the failure in production, therefore the quality control is necessary. The objectives of this research are first to analyze the damage factors in the production of Oxywater bottle packaging, second to identify the causes of those damages, and third to analyze the quality control system in Oxywater bottle packaging production. The method that used in this research is six sigma method with DMAIC (Define, Measure, Analyze, Improve and Control). Sampling techniques used in this research is nonprobabilty sampling with the methods purposive sampling. Sample used is Oxywater products. Based on the analysis result, PT Tirta Alam Semesta has good performance compability during production process with the sigma score 4.35 and DPMO score 2 203.21 per million products. This is showed that from one million production of Oxywater, there is 2 203.21 failure possibilities of Oxywater bottle packaging because of the damages in the bottle.
Keyword: bottle packaging, Oxywater, Quality control, Bogor Agricultural University (IPB)

Judul: Penentuan Nilai Eigen dan Vektor Eigen dari Matriks Tridiagonal 2-Toeplitz dengan Pendekatan Polinomial Chebyshev
Abstrak: The eigenvalues and eigenvectors of a matrix can be determined by finding its characteristic polynomials. The characteristic polynomials of a tridiagonal 2-Toeplitz matrix is shown to be closely connected to polynomials which satisfy the Chebyshev recurrence relationship. If the order of the matrix is odd, then the eigenvalues are found explicitly in terms of the Chebyshev zeros and the eigenvectors are found in terms of the polynomials satisfying the recurrence relationship. For even ordered matrices, the situation is more complicated. The problem in these cases is that although the Chebyshev recurrence formula is still applied, its initial values are not generating Chebyshev polynomials
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