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Lasker Pangarapan Sinaga
Universitas Negeri Medan
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ANALISIS OPTIMISASI PROGRAM KUADRATIK DENGAN FUNGSI PENALTY Roberto Parujian Sitanggang; Lasker Pangarapan Sinaga
JURNAL RISET RUMPUN ILMU PENDIDIKAN Vol. 2 No. 1 (2023): April : Jurnal Riset Rumpun Ilmu Pendidikan
Publisher : Lembaga Pengembangan Kinerja Dosen

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55606/jurripen.v2i1.812

Abstract

This study aims to analyze the optimality of a quadratic program model using the penalty function. The analysis is carried out in each case that has been made so that in each case optimal results are obtained. There are many methods that can be used to solve the quadratic program problem but in terms of the number of iterations, this research uses the penalty function and then implements it into the Matlab programming language. The results obtained in this study indicate that by using the penalty function as a parameter, the optimal value of a function can be obtained. The results of the analysis will also be more optimal by using the lagrange method depending on the parameter values obtained.
REKONSTRUKSI MODEL PROGRAM NONLINIER DENGAN FUNGSI POLINOMIAL MENJADI BENTUK PROGRAM KUADRATIK Amar Pilenon Sinaga; Lasker Pangarapan Sinaga
JURNAL RISET RUMPUN ILMU PENDIDIKAN Vol. 2 No. 1 (2023): April : Jurnal Riset Rumpun Ilmu Pendidikan
Publisher : Lembaga Pengembangan Kinerja Dosen

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55606/jurripen.v2i1.814

Abstract

The purpose of this research to revisits methods that are more effective in nonlinear Optimization with single variable polynomial functions at high degrees. Models with linear objective functions and constraint functions are Polynomials of third, fourth and fifth degree reconstructed into subproblems that are easier to solve, namely quadratic programs, using bilinear Auxiliary Functions and solved by MATLAB simulations. The method used is the development of Tawarmalani & Sahinidis' research regarding relaxation with Auxiliary Functions. Examples of nonlinear Optimization with polynomial functions are also given to illustrate the implementation of this algorithm. The results of the research show that the application of the development reconstruction method produces a global solution that is no better than the solution to the original problem so that it is not an effective alternative method to use.
ANALISIS KESTABILAN MODIFIKASI MODEL SEIQR PENYEBARAN SARS-COV-2 DENGAN ADANYA MOBILITAS INTERNASIONAL DI INDONESIA Br Purba, Rohna Lensa; Sinaga, Lasker P
Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Vol. 5 No. 3 (2024): Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistik
Publisher : LPPM Universitas Bina Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46306/lb.v5i3.731

Abstract

Coronavirus Disease (COVID-19) is a virus caused by Severe Acute Respiratory Syndrome Coronavirus-2 (SARS-CoV-2). Since January 2020, COVID-19 was declared a pandemic by WHO, various countries throughout the world have made efforts to prevent the entry of the COVID-19 outbreak into their respective countries, including Indonesia, by limiting mobility. This research aims to develop a modified SEIQR model for the spread of SARS-CoV-2 in Indonesia by considering international mobility and analyzing the stability of the model. Numerical simulations were also carried out to see the stability results of the SEIQR modification model using suspect data before/after vaccination. The results of this research show that the modified model has two critical points, namely disease-free and disease-endemic critical points, both points are stable when the parameter inequality conditions based on the Routh-Hurwitz criteria are met. Numerical simulations show that the process of suspected infection before vaccination is slower than individual infection after vaccination. From the results of this research, it is concluded that efforts to limit international mobility in Indonesia can reduce the number of new individuals exposed to and infected with COVID-19 in Indonesia.
Optimization of bantuan pangan non tunai (BPNT) distribution using bilevel linear programming in siantar martoba subdistrict pematang siantar Panggabean, Rijen Riston; Sinaga, Lasker Pangarapan
Desimal: Jurnal Matematika Vol. 7 No. 1 (2024): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v7i1.21868

Abstract

Bantuan Pangan Non Tunai (BPNT) is assistance that is in the second decile; in other words, KPMs who are in the first decile will also get assistance. A limited quota of BPNT recipients will result in people in categories such as the elderly group not getting this assistance. This problem arises because there is a significant increase in the population of the elderly group every year. The research method uses secondary data from data sources, namely the social service office, to develop a bilevel model for the problem of distributing food aid on cash by regularizing the bilevel model so that a linear programming model with a single objective function is obtained. In the regularization stage, the gradient descent method is used to find the optimal value of the penalty parameter. From the calculation results of the regularized model, it is found that the values of the variables  x_1= 2956,  x_2= 583, and x_3 = 250 have a value of Z = 3804. This bilevel linear programming model approach provides a strong basis for planning and decision-making related to the distribution of Non-Cash Food Assistance (BPNT) in Siantar Martoba Subdistrict. Therefore, it can be assumed that this bilevel linear programming approach can be used as a guideline for related agencies in allocating resources efficiently.
SEIQR Model Sensitivity and Bifurcation Analysis of SARS-CoV-2 Dynamics with International in-out Mobility Control in Indonesia Sinaga, Lasker Pangarapan; Kartika, Dinda; Farhana, Nurul Ain
Jambura Journal of Mathematics Vol 6, No 1: February 2024
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v6i1.23426

Abstract

This study aims to analyze the SEIQR model for the SARS-CoV-2 dynamic by considering in-out mobility. The model construction is based on the COVID-19 response strategy implemented by the Indonesian government, then analyzing the model by determining the equilibrium point and basic reproduction number, analyzing model stability, parameter sensitivity, and bifurcation. The results show that the model has stable disease-free and disease-endemic critical points when the parameter inequality conditions based on the Routh-Hurwitz criteria are satisfied. Numerical simulations show that the system takes a long time to reach equilibrium. Furthermore, the sensitivity analysis of the basic reproduction number shows that the most sensitive parameters are natural birth and death rate susceptible, contact rate of susceptible individuals with infected individuals from local and international subjects, and rate of exposed individuals who have infected. Thus, efforts to handle COVID-19 in Indonesia can be improved by focusing on controlling international in-out mobility, so that the number of exposed individuals who have been infected can be reduced. Moreover, the bifurcation analysis shows that the system undergoes forward or backward bifurcation under disease-free conditions if certain coefficient values are satisfied based on the Castillo-Chavez and Song conditions.
Penerapan Model Goal Programming pada Penjadwalan Perawat di RSIA Artha Mahinrus Medan Nababan, Agustin Richardo Josua; Sinaga, Lasker Pangarapan
ULIL ALBAB : Jurnal Ilmiah Multidisiplin Vol. 3 No. 9: Agustus 2024
Publisher : CV. Ulil Albab Corp

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56799/jim.v3i9.4755

Abstract

Tujuan dari penelitian ini adalah untuk menerapkan model Goal Programming dalam penjadwalan perawat di RSIA Artha Mahinrus Medan yang saat ini masih melakukan penjadwalan secara manual. Rumah sakit ini memiliki 18 perawat yang dijadwalkan bekerja dalam tiga shift, yaitu pagi, sore, dan malam. Akibat dari penjadwalan secara manual ini membutuhkan waktu yang lama dan kurang efisien dikarenakan adanya ketimpangan dalam pembagian shift. Goal Programming merupakan pengembangan program linear dengan fungsi yang majemuk. Model ini diterapkan menggunakan perangkat lunak LINGO dengan mempertimbangkan sejumlah kriteria, termasuk kebutuhan operasional rumah sakit dan aturan ketenagakerjaan. Dalam memodelkan masalah penjadwalan perawat ini ada dua sistem kendala yang harus dipenuhi yaitu kendala utama dan kendala tambahan. Kendala utama adalah aturan yang harus dipenuhi sedangkan kendala tambahan yaitu aturan rumah sakit yang masih diberi toleransi terhadap pelanggarannya. Dalam memodelkan masalah penjadwalan perawat, setiap masalah diubah kedalam model matematika serta penyelesaian model goal Programming dibantu dengan software LINGO. Berdasarkan output LINGO yang diperoleh, penjadwalan perawat dengan menggunakan model goal programming memenuhi semua sistem kendala, sedangkan jadwal manual rumah sakit tidak memenuhi sistem kendala
Ethnomathematics: Exploring Traditional Games in Mathematics Learning Lois Oinike Tambunan; Izwita Dewi; Lasker Pangarapan Sinaga
MATHEMA: JURNAL PENDIDIKAN MATEMATIKA Vol. 7 No. 2 (2025): MATHEMA
Publisher : Universitas Teknokrat Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33365/jm.v7i2.141

Abstract

This study aims to examine ethnomathematics in traditional games, particularly among the Batak Toba ethnic group, where mathematical concepts such as geometry, number operations, relationships between lines, the concept of congruence, probability, number patterns, and speed are present. The traditional games analyzed in this study include Marsitekka, Margala, and Pocca Piring. This research employs qualitative descriptive approach,where the subjects of this research are the three types of traditional games mentioned earlier. The data collection techniques used in this study include observation, field notes, and documentation. Integrating traditional games into mathematics learning provides benefits by visualizing mathematical concepts in a tangible form, making it easier for students to understand mathematical learning.
Integrating QR Code Technology into Problem-Based Learning LKPD : A Development Study in Junior High School Mathematics Regina Sabariah Sinaga; Rina Ardillah Lubis; Ahmad Rifai Siregar; Bornok Sinaga; Lasker P Sinaga
Daya Matematis: Jurnal Inovasi Pendidikan Matematika Vol 14, No 1 (2026): Maret
Publisher : Universitas Negeri Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26858/jdm.v14i1.83600

Abstract

Mathematics learning in schools is still predominantly teacher-centered, resulting in limited student engagement during the learning process. In addition, the limited availability of teaching materials and the use of student worksheets (LKPD) that are not designed based on specific instructional models cause difficulties for students in understanding the material. This study aims to develop Problem-Based Learning (PBL)-based student worksheets integrated with QR Code technology to create a more interactive and engaging learning environment. This research employed a Research and Development (R&D) method using the 4D model, which was limited to the define, design, and develop stages. The subjects of this study were 20 eighth-grade students of SMP Gusti Wijaya Sunggal. The instruments used included expert validation sheets and student response questionnaires. The results showed that the developed LKPD achieved a very high level of validity with an average score of 92.25% and obtained student responses of 73% categorized as good. The integration of QR Code technology in the worksheets facilitates students’ access to additional learning resources, such as instructional videos. Therefore, the PBL-based LKPD integrated with QR Code is considered valid and practical for use in mathematics learning.
Decision Support System Using the Analytical Hierarchy Process Method in Determining Credit Recipient Eligibility Erika Nia Devina Br Purba; Arnita; Hermawan Syahputra; Lasker P Sinaga; Adidtya Perdana
Journal of Artificial Intelligence and Engineering Applications (JAIEA) Vol. 5 No. 3 (2026): June 2026
Publisher : Yayasan Kita Menulis

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59934/jaiea.v5i3.2256

Abstract

Banks play a fundamental role in improving public welfare by collecting funds through savings and redistributing them as credit. Although credit is the primary source of bank revenue, it carries significant risks if the feasibility analysis of prospective borrowers is flawed, potentially leading to non-performing loans that disrupt financial stability. BPR Nusantara Bona Pasogit 17 faces this challenge as it currently lacks an automated decision support system, resulting in assessments that are often inconsistent or subjective. This research aims to develop a web-based decision support system using the Analytical Hierarchy Process (AHP) method to determine credit recipient eligibility. Developed using PHP and MySQL, the system incorporates criteria management, AHP calculation processing, and automated eligibility ranking. Comprehensive validation through black-box and white-box testing confirmed that all functional components performed correctly with consistent "PASS" results. The AHP implementation produced a Consistency Ratio (CR) of 0.03797, indicating high reliability in decision-making. Criterion priority weights were identified as: Income (0.386), Character (0.219), Loan Amount (0.162), Collateral (0.103), Loan Term (0.07), and Age (0.06). System testing on 100 customer records resulted in a maximum eligibility score of 0.93501 and a minimum of 0.41839.
Co-Authors Adidtya Perdana, Adidtya Agustin Richardo Josua Nababan Ahmad Rifai Siregar Amar Pilenon Sinaga ANGGI NOVITA NASUTION ARDINAL VANBASTEN Arnita ARYL ZULDAUS SEMBIRING Bornok Sinaga Br Purba, Rohna Lensa Ceria Clara Simbolon Chi-Chi Monalisa Hutabarat Desrinawati Tindaon Dinda Kartika Edwin Prasetya Tamba Erika Nia Devina Br Purba Hamidah Nasution Hermawan Syahputra Izwita Dewi July Hartiny Kristin Natalia Panjaitan Nababan, Agustin Richardo Josua Nailan Ni'mah Nasution Nurul Ain Farhana Oktariani Purba Panggabean, Rijen Riston Regina Sabariah Sinaga Rina Ardillah Lubis Roberto Parujian Sitanggang Sinaga, Marlina Setia Tambunan, Lidia Veronika Tambunan, Lois Willyam Daniel Sihotang ZAI, FIDELIS NOFERTINUS