Judul: Layout Design for Ginger Leather Candy Production Facilities at CV Sari Sehat
Abstrak: CV Sari Sehat is an MSME that produces various kinds of processed herbal products such as decoction, instant drink powder, rosella syrup and tea powder. The increasing demand for ginger has made CV Sari Sehat want to continue to develop processed ginger products. CV Sari Sehat intends to diversify its products, namely ginger leather candy. To be able to carry out the ginger leather candy production process, the industry must have production facilities and have a production permit. Product production permits are issued by BPOM in the form of certificates for good food production practices (CPPB) which include aspects of buildings and facilities. The layout design is carried out using the SLP (Systematic Layout Planning) method and the CORELAP (Computerized Layout Planning) algorithm which is a constructive algorithm. The layout design is carried out by taking into account the aspects required in the CPPB-IRT. The results of the production area layout design show that there are eight rooms with the required dimensions of 16,09 m2. The simulation results using the Flexsim software show that the total material displacement distance in the layout design is 41,46 meters., CV Sari Sehat merupakan Usaha Mikro, Kecil, dan Menengah (UMKM) yang memproduksi berbagai jenis produk herbal olahan seperti jamu, bubuk minuman instan, sirup rosella, dan teh. Permintaan yang semakin meningkat terhadap jahe membuat CV Sari Sehat ingin terus mengembangkan produk olahan jahe. CV Sari Sehat berupaya melakukan diversifikasi produk dengan membuat ginger leather candy. Untuk dapat menjalankan proses produksi permen kulit jahe, industri harus memiliki fasilitas produksi dan izin produksi. Izin produksi produk dikeluarkan oleh BPOM dalam bentuk sertifikat praktik produksi pangan yang baik (CPPB) yang meliputi aspek bangunan dan fasilitas. Desain tata letak dilakukan menggunakan metode SLP (Systematic Layout Planning) dan algoritma CORELAP (Computerized Layout Planning) yang merupakan algoritma konstruktif. Desain tata letak dilakukan dengan memperhatikan aspek yang diperlukan dalam CPPB- IRT. Hasil dari desain tata letak area produksi menunjukkan bahwa terdapat delapan ruangan dengan dimensi yang dibutuhkan sebesar 16,09 m2. Hasil simulasi menggunakan perangkat lunak Flexsim menunjukkan bahwa jarak total perpindahan material dalam desain tata letak adalah 41,46 meter.
Keyword: CORELAP, CPPB, Ginger Leather Candy, Layout Design, Systematic Layout Planning

Judul: Production Facility Layout Design at PT Sutan Vet Medika
Abstrak: PT Sutan Vet Medika merupakan industri pakan hewan yang memproduksi suplemen penambah nafsu makan kucing dan anjing. Terdapat beberapa permasalahan pada tata letak fasilitas produksi yaitu penempatan pintu toilet yang belum sesuai dengan pedoman CPOHB, penempatan tata letak fasilitas produksi belum memperhatikan aliran bahan sehingga terdapat aliran bahan yang backtracking, dan penggunaan area ruangan fasilitas produksi yang digunakan sebagai tempat tinggal karyawan. Proyek desain utama ini bertujuan untuk merancang alternatif tata letak fasilitas produksi untuk memperbaiki permasalahan dari tata letak sebelumnya. Perancangan perbaikan tata letak fasilitas produksi dilakukan dengan metode SLP (Systematic Layout Planning) dan algoritma CORELAP (Computerized Layout Planning). Tata letak usulan fasilitas produksi menghasilkan peningkatan efisiensi jarak perpindahan material sebesar 23,67% berdasarkan hasil simulasi., PT Sutan Vet Medika is an animal feed industry that produces supplements to increase the appetite of cats and dogs. There are several issues with the production facilities layout, including the improper placement of the restroom door according to the Good Animal Drug Manufacturing Practice (GADMP) guidelines, the production facilities layout that have not paid attention to the material flow as it creates material backtracking, and the use of production facilities space for employees’ residences. This research aims to design alternative production facilities layouts to address the issues of the previous layout. The improvement of the production facilities layout is carried out using the Systematic Layout Planning (SLP) method and the CORELAP (Computerized Layout Planning) algorithm. The layout of proposed production facilities increase 23.67% material transfer distance efficiency based on simulation results.
Keyword: CORELAP, CPOHB, Efficiency, Layout design

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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