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Penerapan Metode Hungarian dalam Penentuan Penjadwalan Matakuliah Optimal (Studi Kasus: Departemen Matematika Universitas Padjadjaran Semester Ganjil 2013-2014) Marisa Yulistiana; Diah Chaerani; Eman Lesmana
Jurnal Matematika Integratif Vol 11, No 1: April, 2015
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (951.589 KB) | DOI: 10.24198/jmi.v11.n1.9391.45-64

Abstract

Penjadwalan mata kuliah merupakan sistem yang dirancang untuk mengatur semua kegiatan perkuliahan. Jadwal mata kuliah dirancang dengan menyesuaikan komponen-komponen penjadwalan, yaitu mata kuliah, mahasiswa, dosen, waktu perkuliahan, dan ruang kelas. Departemen Matematika FMIPA Universitas Padjadjaran (Unpad) memiliki dua program studi, yaitu Program Studi Matematika dan Program Studi Teknik Informatika. Hal ini mengakibatkan perlunya penyusunan jadwal yang optimal untuk kedua program studi. Permasalahan penjadwalan mata kuliah ini diselesaikan dengan membuat model optimisasi penjadwalan mata kuliah dengan memaksimumkan tingkat efisiensi penggunaan ruang kelas dan meminimumkan tingkat ketidakpuasan mahasiswa terhadap jadwal yang berlaku. Model ini mengacu kepada Wormald dan Guimond [10] yang membahas penyusunan jadwal mata kuliah yang lebih efisien di WPI (Worcester Polytechnic Institute) dengan pemrograman linear. Dalam makalah ini, pengembangan model dilakukan dengan memperhatikan faktor tingkat ketidakpuasan mahasiswa terhadap jadwal yang berlaku. Model tersebut diselesaikan dengan Metode Hungarian dan bantuan software MATLAB yang dapat menghasilkan solusi optimal untuk merancang penjadwalan mata kuliah yang efektif dan efisien. Studi kasus di Departemen Matematika FMIPA Unpad dibahas dalam makalah ini untuk peninjauan jadwal Semester Ganjil Tahun Akademik 2013/2014. Dengan adanya pemodelan ini diharapkan dapat diterapkan di departemen ataupun di perguruan tinggi lainnya agar penjadwalan mata kuliah menjadi lebih efektif dan efisien.
Linear Integer Optimization Model for Two-Stage Guillotine Cutting Stock Problem Using Branch and Bound Method in the Garment Industry Lesmana, Eman; Nahar, Julita; D. P, Annisa
International Journal of Global Operations Research Vol. 1 No. 1 (2020): International Journal of Global Operations Research (IJGOR), February 2020
Publisher : iora

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47194/ijgor.v1i1.17

Abstract

This paper discusses the Two-Stage Guillotine Cutting Stock Problem (2GCSP) in the garment industry, namely how to determine the two-stage guillotine pattern that is used to cut fabric stocks into several certain size t-shirt materials that are produced based on the demand for each size of the shirt. 2GCSP is modeled in the form of Linear Integer Optimization and finding solutions using the Branch and Bound method. In this paper also presented a Graphical User Interface with Maple software as an interactive tool to find the best fabric stock cutting patterns. The results show that the optimal solution can be determined by solving numerically using the Branch and Bound method and Maple optimization packages. The solution is shown with an illustration of the pattern and the amount of fabric cut based on the pattern.
Analysis of Efficiency and Productivity with Data Envelopment Analysis and Malmquist Productivity Index at As Syafiiyah Islamic University Pratignyo, Lisana Sumarah; Supian, Sudradjat; Lesmana, Eman
International Journal of Global Operations Research Vol. 4 No. 1 (2023): International Journal of Global Operations Research (IJGOR), February 2023
Publisher : iora

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47194/ijgor.v4i1.199

Abstract

Efficiency is important in the assessment of a performance on an institution or organization. After assessment of efficiency is continued with measurement of assessment in its productivity. The purpose of this paper is to analyse the efficiency and productivity of 7 study programs at As Syafi’iyah Islamic University. The results obtained for the value of efficiency on 7 study programs of 2017/2018-2018/2019 academic year using the Data Envelopment Analysis method is there are 6 study programs as Decision Making Unit (DMU) for 2 years consecutive have a technical efficiency value reach 100% on each DMU. As for the productivity measurement of 7 study programs using the Malmquist Productivity Index method which achieved the highest productivity is  Islamic Religious Education Program (PAI) with a Total Factor Productivity (TFP) value of 1.124.
STOCK PORTFOLIO ANALYSIS USING MARKOWITZ MODEL Indah Nur Nur Safitri; Sudradjat Sudradjat; Eman Lesmana
International Journal of Quantitative Research and Modeling Vol. 1 No. 1 (2020): International Journal of Quantitative Research and Modeling
Publisher : Research Collaboration Community (RCC)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46336/ijqrm.v1i1.6

Abstract

A common problem that often occurs in investment is the selection of the optimal portfolio according to the wishes of investors. This thesis ueds the Markowitz Model as a basis to formed a model to choose the optimal portfolio that provided the lowest risk. Efforts to minimize risk were carried out by conducting a diversification strategy. After the selection of several companies with the criteria of capitalization value and DER (Debt Equity Ratio), a combination of stocks is formed to form a portfolio. The formed portfolio was then analyzed to determine the optimal proportion of each stock. Using the Markowitz model, which is then solved by Non Linear Programming, an optimal portfolio is obtained with the proportion of each stock minimizing risk. In general, the results of this analysis indicate that portfolios with more stocks will produce lower risks compared to portfolios with fewer stocks, thus providing optimal diversification solutions, namely portfolios with members of five stocks with optimal risk of 0.886%.