Judul: Legality and Institutional Development of Packaged Drinking Water Products (Case Study of SUA Bening TIN IPB)
Abstrak: SUA Bening merupakan perusahaan penyedia air minum di bawah Departemen TIN IPB. Aspek legalitas yang belum sepenuhnya ada pada SUA Bening, sehingga membatasi penjualan dan melanggar peraturan dalam perdagangan. Penelitian ini bertujuan merancang pembuatan legalitas berupa izin edar, wajib SNI dan sertifikasi halal pada AMDK SUA Bening. Tahap penelitian menggunakan 2 jenis penelitian, yaitu penelitian lapangan (field research) dan penelitian kepustakaan (library research). Melalui penelitian lapangan didapatkan beberapa usulan, yaitu jenis pelaku usaha yang sesuai dengan kondisi SUA Bening, pembuatan persyaratan dan dokumen pendaftaran legalitas (izin edar, wajib SNI dan sertifikasi halal) dan penyediaan dokumen pendaftaran sertifikasi halal., SUA Bening is a drinking water supply company under the TIN IPB Department. Legality that does not yet at all exist in SUA Bening limits sales and violates trade regulations. This study aims to design the manufacture of legality in the form of Circulation Permits, Mandatory SNI and Halal Certification on SUA Bening AMDK. The research phase uses 2 types of research, namely field research and library research. Through field research, several proposals were obtained, namely the type of business actor in accordance with the conditions of SUA Bening, preparation of requirements and legality registration documents (Marketing Permit, Mandatory SNI and Halal Certification) and provision of Halal Certification registration documents.
Keyword: Distribution Permit, Halal Certification, SNI  Mandatory, Bottled Drinking Water

Judul: Evaluation and Determination of Specifications for Machines, Equipment and Buildings for Bottled Drinking Water Treatment (AMDK) SUA Bening TIN IPB
Abstrak: Satuan Usaha Akademik (SUA) Bening merupakan perusahaan penyedia air minum di bawah Departemen TIN IPB. Peningkatan kapasitas produksi dapat menjadi jalan untuk meningkatkan kinerja perusahaan tersebut. Peningkatan kapasitas produksi dapat dilakukan dengan penyesuaian kapasitas dan spesifikasi mesin, peralatan, tata letak dan bangunan. Penelitian ini bertujuan untuk mengevaluasi dan memformulasikan rekomendasi untuk menyesuaikan spesifikasi mesin/peralatan, serta tata letak pabrik, sehingga SUA Bening dapat meningkatkan kapasitas produksi. Perancangan berupa pengembangan mesin, peralatan, dan tata letak pabrik. Analisis dilakukan berdasarkan pada Permenperin No. 26 Tahun 2019 tentang Standar Nasional Indonesia Air Mineral, Air Demineral, Air Mineral Alami, dan Air Minum Embun Secara Wajib. Hasil checklist parameter pengendalian produksi air mineral menunjukkan bahwa 6 dari 8 parameter SUA Bening sesuai dengan Permenperin No. 26 Tahun 2019. Peningkatan kapasitas produksi dapat ditunjang dengan pengadaan mesin/peralatan, yaitu (1) 3 in 1 washing-filling-capping gallon machine, (2) Glass Bottle Washer, (3) Filling machine 600 ml, dan (4) Capping Machine. Rekomendasi mesin tersebut berdasarkan kebutuhan produksi di SUA Bening. Hal ini didasarkan atas hasil perencanaan tata letak pabrik menggunakan Activity Relationship Chart (ARC) dan perhitungan Total Closenest Rating (TCR). Kata kunci: Air minum dalam kemasan (AMDK), mesin/peralatan, tata letak pabrik, The Bening Academic Business Unit (SUA) is a drinking water supply company under the TIN IPB Department. Increasing production capacity can be a way to improve the company's performance. Increased production capacity can be done by adjusting the capacity and specifications of machines, equipment, layout and buildings. This study aims to evaluate and formulate recommendations to adjust machine/equipment specifications, as well as factory layout, so that SUA Bening can increase production capacity. The design is in the form of developing machinery, equipment, and factory layout. The analysis was carried out based on Permenperin No. 26 of 2019 concerning the Indonesian National Standard for Mineral Water, Demineralized Water, Natural Mineral Water, and Mandatory Dew Drinking Water. The results of the checklist of mineral water production control parameters show that 6 of the 8 parameters of SUA Bening are in accordance with Permenperin No. 26 of 2019. The increase in production capacity can be supported by the procurement of machinery/equipment, namely (1) 3 in 1 washing-filling-capping gallon machine, (2) Glass Bottle Washer, (3) 600 ml Filling machine, and (4) Capping Machines. The machine recommendation is based on the production needs at SUA Bening. This is based on the results of the factory layout planning using the Activity Relationship Chart (ARC) and the calculation of the Total Closeness Rating (TCR). Keywords: Bottled drinking water (AMDK), machinery/equipment, factory layout
Keyword: Bottled drinking water (AMDK), machinery/equipment, factory layout

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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