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All Journal Mandalika Mathematics and Educations Journal
Gilang, Gilang Primajati
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Mathematics

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Analisis Perbandingan Portofolio Saham dengan Metode Mean Varian Satu Kendala dan Dua Kendala Gilang, Gilang Primajati; M. Gunawan Supiarmo; Junaidi
Mandalika Mathematics and Educations Journal Vol 6 No 2 (2024): Edisi Desember
Publisher : FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jm.v6i2.7258

Abstract

Pembentukan portofolio saham yang efesien dapat dimaknai sebagai memaksimalkan keuntungan yang sebanyak-banyaknya seraya meminimalkan resiko kerugian yang mungkin terjadi. Risiko dapat diatasi dengan diversifikasi. Portofolio saham dengan metode efesiensi mean varian berasumsi agar seorang analis saham berinvestasi pada saham yang memiliki risiko bukan yang bebas risiko (risk free asset) dalam portofolionya.  Metode efisiensi mean varian pada portofolio investasi didefinisikan sebagai portofolio yang memiliki variansi yang minimum diantara keseluruhan kemungkinan portofolio yang dapat dibentuk, pada tingkat mean expected return yang sama. Metode efiensi mean varian dapat diperluas dengan satu, dua dan banyak kendala/konstrain dalam penentuan bobot portofolio yang optimal.  Pada artikel ini penulis menganalisis dan membandingkan performa portofolio satu dan dua kendala. Simulasi performa kinerja portofolio diberikan dengan data saham di Bursa Efek Indonesia yaitu  saham dengan kode INTP, SMBR, SMGR dan SMCB. Dari hasil pembobotan saham dengan satu kendala diperoleh hasil INTP -0.118095805, SMBR 1.139563744, SMGR 0.122266351 dan SMCB -0.143734289 sedangkan untuk portofolio dengan dua kendala diperoleh hasil pembobotan INTP 3.4707887, SMBR 1.903454601, SMGR -3.877195164 dan SMCB -0.497085853. Terlihat SMBR selalu positif dan cukup besar pembobotannya yakni dengan satu kendala 1.139563744 dan dua kendala 1.903454601. Artinya saham ini kita memberikan bobot cash dalam investasinya tanpa pinjaman.
Optimalisasi Jalur Pedestrian Antar Fakultas Di Universitas Mataram Menggunakan Algoritma Kruskal Gilang, Gilang Primajati; M. Gunawan Supiarmo; Dita Oktavihari
Mandalika Mathematics and Educations Journal Vol 7 No 2 (2025): Edisi Juni
Publisher : FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jm.v7i2.8988

Abstract

Efficient pedestrian pathways between faculties and key locations within the Universitas Mataram campus are a crucial aspect in supporting the academic and non-academic mobility. Optimization of pedestrian paths based on distance and connectivity efficiency between important points. This study aims to identify and optimize as well as determine the shortest pedestrian paths between faculties by applying the Kruskal algorithm, which connects all points without forming cycles based on the Minimum Spanning Tree (MST) method. There are 13 vertices representing faculties or key locations at Universitas Mataram. The distances between these faculties or places are represented as weighted edges measured in meters. A total of 15 edges were initially identified according to the algorithm’s execution. Among these, 3 edges formed cycles and had to be gradually eliminated in order to comply with Kruskal’s algorithm, resulting in the optimal solution of 12 edges for the shortest pedestrian network. The distances of these 12 edges were obtained through mapping using Google Maps. The total length of the resulting optimized pedestrian route is 2,650 meters or 2.65 kilometers. These findings can serve as a reference for policymakers at Universitas Mataram to consider in the development of network-based pedestrian infrastructure.
Co-Authors Dita Oktavihari Junaidi Junaidi M. Gunawan Supiarmo