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Abstrak :
Penggunaan mobil listrik yang meningkat memerlukan dukungan ekologi yang memadai dan infrastruktur yang kuat. Jarak tempuh mobil listrik yang pendek dan kurangnya fasilitas pengisian menjadi dua hambatan utama. Penelitian ini menggunakan MINLP untuk mempelajari lokasi optimal stasiun pengisian kendaraan listrik di DKI Jakarta. Tujuannya adalah untuk mengurangi total biaya pembangunan stasiun pengisian, biaya transportasi untuk mobil yang pergi ke stasiun tersebut, dan waktu tunggu pengisian bagi pengemudi. Dengan menciptakan jaringan stasiun pengisian yang efektif, meningkatkan kemudahan penggunaan mobil listrik, dan mendorong penggunaan bahan bakar alternatif, studi ini diharapkan dapat mendukung program hijau pemerintah dan menciptakan lingkungan perkotaan yang lebih berkelanjutan. Untuk lebih mengurangi dampak terhadap lingkungan, proyek ini juga fokus pada integrasi sumber energi terbarukan ke dalam infrastruktur pengisian. ......The increased use of electric vehicles calls for sufficient ecological support and a strong infrastructure. The short range of electric cars and the dearth of charging facilities present two major obstacles. The optimal location of EV charging stations in DKI Jakarta is being studied using MINLP. The goal is to reduce the overall cost of constructing charging stations, the cost of transportation for cars to go to these stations, and the amount of time drivers must wait to be charged. By creating an effective network of charging stations, improving the usability of electric cars, and encouraging the use of alternative fuels, the study hopes to help green government programs and create a more sustainable urban environment. To further lessen the influence on the environment, this project also focuses on incorporating renewable energy sources into the infrastructure for charging.

Abstrak :
ABSTRAK
This research proposes a mathematical model of the Vehicle Routing Problem with Compartment (VRPC) by considering split delivery, multi product, and time windows. VRPC is variant of VRP which is an extention of the Capacitated Vehicle Routing Problem (CVRP) by considering the used of compartment in the vehicle. Compartment is used to separate different product to be distributed. The application of the VRPC concept in a real system can be found in the distribution system of fuel, oil, recycled waste, or food distribution. The mathematical model is used to determine the route that minimize the distance. AMPL software and CLPEX solver is used to create the mathematical programming of the model and solve it. The proposed mathematical model is Mixed Integer Nonlinear Programming (MINLP). Numerical experiments is conducted to illustrate the use of the model. The experimental results show that the model passed the verification and validation tests.

Abstrak :
Susunan peralatan proses dan bangunan dapat memiliki dampak besar padaefisiensi sebuah pabrik. Dalam upaya untuk memaksimalkan efisiensi pabrik,desain tata letak pabrik harus memfasilitasi proses produksi, meminimalkan alurproses material dan biaya operasi, serta tetap harus memenuhi aspek keamanan dankeselamatan operasi. Penelitian ini mengambil objek penelitian pada sebuahStasiun Kompresi Gas yang akan dilakukan optimasi susunan tata letak peralatandengan model MINLP dengan Algoritma Branch and Bound untuk pemenuhanjarak aman, pertimbangan arah angin untuk memposisikan flare stack denganmeminimumkan jarak aliran material. Hasil penelitan menunjukkan susunan tata letak hasil optimasi mengalamiperubahan dibanding tata letak existing, dengan pemenuhan seluruh jarak amanantar fasilitas, posisi flare stack yang sesuai, dan efisiensi biaya perpipaan areaproses sebesar 21,6. ...... The arrangement of process equipment and building can have a big impact onefficiency of a factory. In an effort to maximize plant efficiency, the plant's layoutdesign should facilitate the production process, minimize the material process flowand operating costs, and still meet the safety and security aspects of the operation. The object of this research is a Gas Compression Station which the equipmentlayout arrangement will be optimized with MINLP model with Branch and BoundAlgorithm for the fulfillment of safe distance, wind direction consideration toposition flare stack by minimizing material flow distance. The results showed that the layout of the optimization result changed compared tothe reference layout, with the fulfillment of all safe distance between facilities, theappropriate flare stack position, and the cost efficiency of pipeline process area of 21,6.