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Kajian Metode Penalti Pada Optimisasi Linear Dengan Kendala Nonlinear Siddik, Fajar Erin; Nababan, Esther Sorta Mauli; Sawaluddin, Sawaluddin; Zahedi, Zahedi
MES: Journal of Mathematics Education and Science Vol 10, No 1 (2024): Edisi Oktober
Publisher : Universitas Islam Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30743/mes.v10i1.9340

This research aims to examine the penalty methods used in linear optimization. The main objective is to identify the advantages and disadvantages of each penalty method, as well as determine the specific context in which each method is most effective. This research belongs to the literature research type. The study is conducted on prepared cases to obtain the optimal result of each penalty method. Penalty methods and barrier methods are interrelated in optimization, especially in handling problems with constraints. The penalty method is used to start the solution search, while the barrier method is applied at the final stage to refine the solution. This is because the penalty method is able to provide an initial solution quickly, which can then be refined using the barrier method to better approach the constraint boundary.

PENGENDALIAN KUALITAS PRODUKSI BIBIT F2 JAMUR TIRAM PUTIH (PLEUROTUS OSTREATUS) MENGGUNAKAN METODE SIX SIGMA Ritonga, Dina Hayati Sulaimah; Zahedi, Zahedi; Suyanto, Suyanto; Sitepu, Suryati
RADIAL : Jurnal Peradaban Sains, Rekayasa dan Teknologi Vol. 11 No. 1 (2023): RADIAL: JuRnal PerADaban SaIns RekAyasan dan TeknoLogi
Publisher : Universitas Bina Taruna Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37971/radial.v11i1.393

Abstrak: Pengendalian Kualitas Produksi Bibit F2 Jamur Tiram Putih (Pleurotus ostreatus) Menggunakan Metode Six Sigma. Penelitian ini berfokus pada permasalahan pengendalian kualitas selama produksi bibit F2 jamur tiram putih yang kurang optimal selama proses perebusan, pendinginan, dan pengemasan. Tujuan penelitian ini yaitu untuk menerapkan metode Six Sigma dalam pengendalian kualitas produksi bibit F2 jamur tiram putih. Berdasarkan hasil analisis, dikatakan bahwa data produksi dan data cacat berdistribusi normal. Adapun untuk hasil perhitungan menggunakan Metode Six Sigma dengan tahapan DMAIC, didapatkan hasil bahwa nilai DPMO sebesar 25470,7 dengan nilai sigma yang didapat senilai 3.452. Dimana setiap melakukan produksi menghasilkan sekitar 13,1273% produk cacat. Usulan perbaikan dalam produksi bibit F2 jamur tiram putih adalah menetapkan metode yang tepat, mengikuti prosedur produksi yang ditetapkan, meningkatkan konsentrasi pekerja, dan melakukan perubahan pada bagian mesin. Kata kunci: DMAIC; Produk Cacat; Quality Control; Six Sigma. Abstract: Quality Control of Oyster Mushroom F2 Seed Production (Pleurotus ostreatus) Using The Six Sigma Method. This research focuses on the problem of quality control during the production of suboptimal white oyster mushroom F2 seedlings during the boiling, cooling, and packaging processes. The purpose of this research is to apply the Six Sigma method to the quality control of white oyster mushroom F2 seedling production. Based on the results of the analysis, it is said that production data and defect data are normally distributed. As for the calculation results using the Six Sigma Method with the DMAIC stage, the results show that the DPMO value is 25470,7 with a sigma value obtained of 3.452. Where each production produces around 13.1273% of defective products. Proposed improvements in the production of white oyster mushroom F2 seedlings include setting the right method, following established production procedures, increasing worker concentration, and making changes to the machine. Keyword: Defect Product; DMAIC; Quality Contro; Six Sigma.

SIMPLIFIED FORMULAS FOR SOME BESSEL FUNCTIONS AND THEIR APPLICATIONS IN EXTENDED SURFACE HEAT TRANSFER Irvan, Irvan; Zahedi, Zahedi; Agus, Anjar; Suparni, Sarmin; Amin, Harahap
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 2 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Bessel functions find many applications in Physics and Engineering fields. Some of these applications are in the analysis of extended surface heat transfer where the cross-sections vary. Tables of various kinds of Bessel functions are available in most handbooks of mathematics. However, the use of tables is not always convenient, particularly for applications where many values must be computed. In the applications of Bessel functions in extended surface heat transfer, graphs are also available to provide quick evaluations of the values needed. However, reading these graphs always needs interpolation; this will be cumbersome and time-consuming if there are many readings to be taken. Mathematical formulas for Bessel functions are available but they are usually complicated. Software to calculate values of Bessel functions is also available. Excel, Maple, and Mathematica can also be used to compute the values of Bessel functions. A user can write a program for an application that involves Bessel functions. However, the use of Bessel functions in Excel is limited while Maple and Mathematica are expensive commercial software. In this paper, formulas for Bessel functions of and are simplified with adequate accuracy that can be used to easily compute values needed in the extended surface heat transfer analysis. It is found that errors for and are relatively small (maximum errors are 0.004% and 0.003%, respectively) in the range of 0.05 to 3.75 while the maximum error for is 3.678% for the same range. However, the maximum error for is reduced to 0.166 if the range is from 0.25 to 3.75.

ANALISIS PLS-SEM TERHADAP KESIAPAN DIGITAL ORANG TUA SISWA SMAN 2 KABANJAHE DALAM MENGHADAPI ERA INDUSTRI 4.0 br Tarigan, Anastasya Primsa; br Tarigan, Enita Dewi; Zahedi, Zahedi; Gio, Prana Ugiana
MES: Journal of Mathematics Education and Science Vol 11, No 1 (2025): Edisi Oktober
Publisher : Universitas Islam Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30743/mes.v11i1.12111

The Fourth Industrial Revolution has significantly transformed various aspects of life, including education. The rapid advancement of digital technology requires society, including parents, to adapt, particularly with the implementation of online school enrollment systems. However, this situation creates challenges for parents unfamiliar with technology, leading to a digital divide. This study examines the factors influencing parents’ digital readiness at SMAN 2 Kabanjahe using the Technology Readiness Index (TRI), which evaluates individual attitudes toward technology through four dimensions: optimism, innovativeness, discomfort, and insecurity. A quantitative approach was employed with data collected from 80 parents via online questionnaires and analyzed using Partial Least Squares–Structural Equation Modeling (PLS-SEM) in Smart-PLS 4.0. The results show an R² value of 0.615, indicating that 61.5% of the variance in digital readiness is explained by the model. Optimism has a significant positive effect, while discomfort has a significant negative effect. Conversely, innovativeness and insecurity do not significantly influence digital readiness. These findings highlight the applicability of the TRI model in assessing digital readiness, particularly in the educational context.

PENGENDALIAN KUALITAS PRODUKSI BIBIT F2 JAMUR TIRAM PUTIH (PLEUROTUS OSTREATUS) MENGGUNAKAN METODE SIX SIGMA Ritonga, Dina Hayati Sulaimah; Zahedi, Zahedi; Suyanto, Suyanto; Sitepu, Suryati
RADIAL : Jurnal Peradaban Sains, Rekayasa dan Teknologi Vol. 11 No. 1 (2023): RADIAL: JuRnal PerADaban SaIns RekAyasan dan TeknoLogi
Publisher : Universitas Bina Taruna Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37971/radial.v11i1.393

Abstrak: Pengendalian Kualitas Produksi Bibit F2 Jamur Tiram Putih (Pleurotus ostreatus) Menggunakan Metode Six Sigma. Penelitian ini berfokus pada permasalahan pengendalian kualitas selama produksi bibit F2 jamur tiram putih yang kurang optimal selama proses perebusan, pendinginan, dan pengemasan. Tujuan penelitian ini yaitu untuk menerapkan metode Six Sigma dalam pengendalian kualitas produksi bibit F2 jamur tiram putih. Berdasarkan hasil analisis, dikatakan bahwa data produksi dan data cacat berdistribusi normal. Adapun untuk hasil perhitungan menggunakan Metode Six Sigma dengan tahapan DMAIC, didapatkan hasil bahwa nilai DPMO sebesar 25470,7 dengan nilai sigma yang didapat senilai 3.452. Dimana setiap melakukan produksi menghasilkan sekitar 13,1273% produk cacat. Usulan perbaikan dalam produksi bibit F2 jamur tiram putih adalah menetapkan metode yang tepat, mengikuti prosedur produksi yang ditetapkan, meningkatkan konsentrasi pekerja, dan melakukan perubahan pada bagian mesin. Kata kunci: DMAIC; Produk Cacat; Quality Control; Six Sigma. Abstract: Quality Control of Oyster Mushroom F2 Seed Production (Pleurotus ostreatus) Using The Six Sigma Method. This research focuses on the problem of quality control during the production of suboptimal white oyster mushroom F2 seedlings during the boiling, cooling, and packaging processes. The purpose of this research is to apply the Six Sigma method to the quality control of white oyster mushroom F2 seedling production. Based on the results of the analysis, it is said that production data and defect data are normally distributed. As for the calculation results using the Six Sigma Method with the DMAIC stage, the results show that the DPMO value is 25470,7 with a sigma value obtained of 3.452. Where each production produces around 13.1273% of defective products. Proposed improvements in the production of white oyster mushroom F2 seedlings include setting the right method, following established production procedures, increasing worker concentration, and making changes to the machine. Keyword: Defect Product; DMAIC; Quality Contro; Six Sigma.

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