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Solusi Pemrograman Nonlinier Desain Kamar Kost dengan Menggunakan Syarat Karush-Kuhn-Tucker (KKT) Wahyudin Nur; Hirman Rachman; Nurul Mukhlisah Abdal
JURNAL PENDIDIKAN MIPA Vol 7 No 2 (2017): JURNAL PENDIDIKAN MIPA
Publisher : Pusat Publikasi Ilmiah, STKIP Taman Siswa Bima

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Dalam artikel ini, pemrograman nonlinier digunakan untuk menentukan desain kamar kost yang layak dan baik, namun dengan biaya pembangunan yang minimum. Penelitian ini mengambil lokasi di sekitar kampus Universitas Sulawesi Barat, di Majene, Sulawesi Barat. Survei dan wawancara dilakukan untuk mengumpulkan informasi yang dibutuhkan dalam pembuatan model matematika. Wawancara dilakukan terhadap pemilik kost, penyewa kost, dan pemilik toko bahan bangunan. Setelah infomasi lengkap, tahap selanjutnya adalah membuat rancangan desain kamar kost yang terdiri dari ruang utama, kamar mandi, dan dapur. Dari rancangan desain tersebut, diperoleh model matematika nonlinier yang terdiri dari satu fungsi biaya dan beberapa fungsi kendala. Model matematika tersebut kemudian diselesaikan dengan menggunakan syarat karush-kuhn-tucker (KKT). Hasil yang diperoleh adalah desain kamar kost dengan luas dapur, kamar mandi dan ruang utamanya berturut-turut seluas , dan . Total luas per kamar adalah yang merupakan ukuran ideal untuk sebuah kamar kost. Desain kamar kost tersebut merupakan desain kamar yang membutuhkan biaya paling minimum diantara beberapa desain kamar kost yang lain, karena memenuhi syarat karush kuhn tucker. Dari hasil tersebut, dapat disimpulkan bahwa desain kamar kost dapat dimodelkan ke model matematika nonlinier dan solusi optimumnya diperoleh apabila solusinya memenuhi syarat karush kuhn tucker.
Perencanaan Produksi Makanan Laut dengan Pertimbangan Permintaan dan Kapasitas Hirman Rachman; Herman Mawengkang
Journal of Mathematics: Theory and Applications Volume 5, Nomor 1, 2023
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v5i1.2309

Abstract

The sea holds many resources that are very important for life, and one of them is the potential of fisheries, which is a basic human need. Indonesia, as a maritime country whose waters cover 2/3 of its territory, most of its people who live in coastal areas have utilized this condition by conducting fisheries management activities. However, the process still needs technical support to optimize the results. This research will review the production planning process of processed marine products under demand uncertainty. This research will construct a model to minimize production costs by considering demand uncertainty. The model will be computed using Mixed Integer Linear Program (MILP) method to provide the decision of processed products produced and the amount of production.
Model Predator-Prey Leslie-Gower dengan Fungsi Respon Sokol-Howell dan Perilaku Anti Predator Fardinah; Darma Ekawati; Hikmah Hikmah; Hirman Rachman
Journal of Mathematics: Theory and Applications Vol 6 No 1 (2024): Volume 6, Nomor 1, 2024
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v6i1.2971

Abstract

This study discusses the Leslie-Gower predator-prey model with the Sokol-Howell response function and anti-predator behavior. It is assumed that prey has anti-predator behavior that aims to reduce the risk of predation and not as an attempt by prey to find food. This study aims to formulate a Leslie-Gower predator-prey model with the Sokol-Howell response function and anti-predator behavior, analyze the model's equilibrium point and model interpretation. Stability analysis was carried out using the linearization method. The type of stability is determined based on the characteristic eigenvalues ​​obtained using Routh-Hurwitz criteria. The results of the analysis of the equilibrium point show that prey populations will exist and predators will become extinct if the anti-predator coefficient is greater than the intrinsic growth coefficient of predators, while prey and predator populations will always exist if the intrinsic growth coefficient of predators is greater than the anti-predator coefficient and fulfills other conditions required. Based on the numerical simulations performed, the interpretation is that an enlarged anti-predator coefficient increases the number of prey populations until they approach the carrying capacity, while predator populations decrease significantly and over time experience extinction.
Peramalan Harga Saham Perusahaan Perbankan dengan Market Capitalization Terbesar di Indonesia Pasca-Covid19 Muh Hijrah; Hirman Rachman; Putri Indi Rahayu
Journal of Mathematics: Theory and Applications Vol 5 No 2 (2023): Volume 5, Nomor 2, 2023
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v5i2.3238

Abstract

Penelitian ini bertujuan untuk melakukan peramalan harga saham perusahaan perbankan dengan market capitalization terbesar di Indonesia pasca-Covid19. Pandemi Covid-19 telah mengubah lanskap ekonomi global dan pasar saham secara signifikan, termasuk di Indonesia. Penelitian ini menggunakan data runtun waktu harian harga saham Bank BCA, Bank BRI, dan Bank Mandiri selama periode pasca-Covid19 untuk menganalisis dan meramalkan pergerakan harga saham ketiga bank tersebut. Metode peramalan data deret waktu ARIMA digunakan dalam penelitian ini. Model peramalan saham BBCA terbaik adalah ARIMA(0,1,0), untuk saham BBRI adalah ARIMA(2,1,2), dan untuk saham BMRI adalah ARIMA(0,1,0). Setelah dilakukan peramalan dengan masimh-masing model tersebut, model ARIMA(2,1,2) untuk saham BBRI dapat meramalkan harga saham lebih akurat dengan MAPE dan AIC terkecil yaitu 1.45% dan 601.36.
ASSISTANCE PROGRAM FOR THE COMPOSITION OF SCHOLARLY ARTICLES BY TEACHERS AT MIS DDI LAPEO Fatimah, Meryta Febrilian; Qadrini, Laila; Rachman, Hirman
Community Development Journal : Jurnal Pengabdian Masyarakat Vol. 4 No. 6 (2023): Volume 4 Nomor 6 Tahun 2023
Publisher : Universitas Pahlawan Tuanku Tambusai

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31004/cdj.v4i6.23377

Abstract

An academic article is acknowledged as a scholarly endeavour, encapsulating the research findings of academicians. These articles are conventionally disseminated through academic journals. In compliance with governmental directives, educators are required to draft and publish scholarly articles in such journals. To facilitate adherence to this mandate, the provision of training in academic article writing is imperative. This training aims to scrutinize and reconcile articles previously authored by educators with prevailing scholarly writing standards. The participants of this program were educators from MIS DDI Lapeo, with the goal of augmenting their proficiency in the composition of academic articles. This program saw the participation of 14 educators from MIS DDI Lapeo, encompassing both classical and individualized methodologies. The classical methodology entailed a structured training process in academic article preparation, commencing with an exposition on journals, articles, and the core principles of article creation, culminating in the actual drafting of academic articles. Conversely, the individualized approach was implemented in the context of one-on-one mentorship for article composition. The outcomes of this mentorship included an enhanced understanding among educators in the formulation of academic articles and an increased propensity towards engaging in article writing. Notable challenges encountered by these educators in the process of scholarly writing encompassed a paucity of references, constrained time allocations, and a lack of creative ingenuity, predominantly manifesting in their focus on Classroom Action Research.
Menumbuhkan Budaya Menulis melalui Pelatihan Artikel Ilmiah di Kalangan Guru Madrasah Ibtidaiyah Swasta Darul Dakwah wal-Irsyad Lapeo, Sulawesi Barat Meryta Febrilian Fatimah; Hirman Rachman; Laila Qadrini
Jurnal Pengabdian KOLABORATIF Vol. 2 No. 2 (2024): July
Publisher : Faculty of Engineering, Universitas Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26623/jpk.v2i2.9692

Abstract

The role of teachers in the world of education is crucial in developing student's collaborative intelligence. The ability to write scientific articles can help teachers contribute more to disseminating their knowledge and experience. This program is designed to improve teacher's skills in writing scientific articles through the introduction of basic concepts and effective writing practices. The participants in this program are 14 teachers from Madrasah Ibtidaiyah Swasta Darul Dakwah wal-Irsyad Lapeo (MIS DDI Lapeo). The method of this program consists of the theory session and the practice session. The theory session discusses the basic elements of scientific writing, including article structure, use of references, writing ethics, and good writing techniques. Furthermore, practical sessions provide opportunities for teachers from MIS DDI Lapeo to apply the knowledge they have gained with direct guidance. Program evaluation is carried out through pre-tests and post-tests to measure the increase in participant's understanding and skills. Through this activity, teachers from MIS DDI Lapeo experienced an improvement in understanding scientific writing, as well as an enhancement in practical skills in structuring and writing high-quality scientific articles.