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Model Matematika Produksi Persediaan Dengan Adanya Kerusakan Barang Dan Mempertimbangkan Pengurangan Harga Serta Penundaan Pembayaran Desi Triana Putri; Muhammad Subhan
Journal of Mathematics UNP Vol 8, No 1 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i1.13441

Abstract

The problem about total cost of inventory that is not optimal in a company that produces its own item is something that happen and important to complete. The problem occur because the inventory control applied by the company is not effective.Deteriorating item and allowing price discount are thing that cause the total cost of  inventory is not optimal. In generally, payment that made after the item are received by the customer. However the company allowing delay in payment. The purpose of this study is to form a mathematical modelling about total cost inventory is not optimal at company with deteriorating item, price discount and delay in payment. The result of this study are a model of inventory with deteriorating item. The equation for the total cost of inventory obtained by the excistence payment delay period of replenishment item incur interest cost which cause  the total cost of inventory to be greater.
Profesionalisme Guru dalam Membuat Soal Higher Order Thinking Skills Armiati Armiati; Muhammad Subhan; Minora Longgom Nasution; Saddam Al Aziz; Maulani Meutia Rani; Ronal Rifandi; Yulyanti Harisman
JNPM (Jurnal Nasional Pendidikan Matematika) Vol 4, No 1 (2020): EDISI MARET
Publisher : Universitas Swadaya Gunung Djati

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (829.378 KB) | DOI: 10.33603/jnpm.v4i1.2587

Abstract

Penelitian ini dilatarbelakangi rendahnya kemampuan Higher Order Thinking  Skills (HOTS) siswa  Sekolah Menengah Pertama (SMP). Profesionalisme guru sangat erat kaitannya  dengan  HOTS siswa. Penelitian ini bertujuan untuk menganalisis profesionalisme guru dalam membuat soal HOTS sebelum dan sesudah dilakukan pelatihan. Metode penelitian yang digunakan adalah metode survey. Tujuh belas guru dari 11 SMP se-Kecamatan Padang Utara, Sumatera Barat dijadikan sebagai subjek penelitian. Awalnya guru diminta membuat soal HOTS sebelum diberikan pelatihan. Selanjutnya, para pakar memberikan pelatihan dalam perancangan soal HOTS. Soal HOTS yang disusun oleh guru dianalisis sebelum dan sesudah mengikuti pelatihan. Hasil penelitian menunjukan bahwa 41% guru yang mampu membuat soal HOTS sebelum diberikan pelatihan. Soal HOTS yang dibuat oleh guru masih belum benar, karena kata kerja operasional pada soal masih berada pada level C1–C2. Semua guru dapat membuat soal HOTS setelah diberikan pelatihan. Dari semua guru, 30 % guru mampu memahami sebagian materi pelatihan dan mampu membuat soal HOTS namun masih belum benar dan 70 % guru mampu memahami materi pelatihan dan  mampu membuat soal HOTS dengan benar.Kata Kunci: Higher Order Thinking Skills, Guru, Sekolah Menengah Pertama.
Model Penyebaran Rumor di Media Sosial Tasya Salsabilla Harista; Muhammad Subhan
Journal of Mathematics UNP Vol 8, No 2 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i2.14515

Abstract

Rumors are information that spreads widely without any confirmation of truth and definite facts. One of the media that is used in rumors spreading is social media. The negative impact raised by rumors spreading through social media is the disruption of social stability, economic systems, and politics. The research purpose is to analyze the rumor spreading model on social media. This research is basic research (theoretical) using descriptive methods. The analytical results are obtained of a rumor-free equilibrium point and a rumor spread equilibrium point, each of which is asymptotic stable.  The basic reproduction number obtained by the rumor will spread if the rate of movement of the population of individual who never hear the rumor or counter-rumor increases and became a individual who have been exposed to the rumor or counter-rumor.
Pemodelan Migrasi Tenaga Kerja Terinduksi Modal untuk Konvergensi Regional Indonesia Dina Rahma Wita; Muhammad Subhan
Journal of Applied Informatics and Computing Vol. 10 No. 3 (2026): June 2026
Publisher : Politeknik Negeri Batam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30871/jaic.v10i3.12713

Abstract

Regional inequality in Indonesia presents a persistent structural challenge characterized by capital concentration and labor agglomeration in core regions. Conventional models often fail to capture the endogenous feedback between capital accumulation, dynamic labor migration, and regional ecological limits. To address this theoretical gap, we formulate a four-dimensional non-linear ordinary differential equation (ODE) system integrating the Solow neoclassical growth framework, logistic population dynamics bounded by regional carrying capacities (κ), and Capital-Induced Labor Migration (CILM). The model is empirically calibrated using Statistics Indonesia macroeconomic data (2020-2024), classifying regions into Core and Periphery based on a strict 2.63% Gross Regional Domestic Product (GRDP) equal-distribution threshold. Analytical validity is rigorously established through mathematical proofs of Positive Invariance and Ultimate Boundedness. Numerical simulations using the Runge-Kutta 4th Order method reveal a critical phenomenon termed "deceptive convergence" a scenario where the spatial inequality ratio artificially compresses not due to genuine economic expansion in the periphery, but solely because the core region reaches its absolute ecological saturation. Furthermore, high labor mobility sensitivity is proven to act as a divergence multiplier, triggering massive labor drains from peripheral regions. Ultimately, a synthesized policy mix simulation demonstrates that aggressive physical capital diffusion combined with strict human capital retention policies is mathematically proven as the most effective strategy to transform the agglomeration curse into equitable structural convergence.
PEMODELAN DINAMIKA MAKANAN CEPAT SAJI DAN OBESITAS UNTUK MENGEVALUASI EFEK TEKANAN TEMAN SEBAYA Viora Roza Savitri; Muhammad Subhan
MATHunesa: Jurnal Ilmiah Matematika Vol. 12 No. 01 (2024)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v12n1.p67-78

Abstract

Obesity is a health problem that is increasing among teenagers and consumption of fast food is often cited as a contributing factor. It could also be that peer pressure influences unhealthy eating behavior, including consumption of fast food. The aim of this research is to model the dynamics of fast food consumption and adolescent obesity to assess the impact of peer pressure. This research is basic or theoretical research. The method used in this research is descriptive (illustrative). This research was carried out by identifying variables, parameters and hypotheses related to the problem so that a mathematical model can be created for fast food and obesity to assess peer pressure. In addition, mathematical model analysis is carried out and the stability of the equilibrium point is determined. Based on the results of the analysis of the mathematical model of fast food and obesity to assess the effect of reference point pressure, the equilibrium point is reached and the stability of the equilibrium point observation is based on locally asymptotically stable and unstable Jacobian matrix values, a simulation is carried out. Keywords: Mathematical Model, Obesity, Overweight.