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Development of a Mathematics Module Based on HOTS Questions on Social Arithmetic Material Lubis , Mara Samin; Br Ginting, Siti Salamah
Jurnal Riset Pendidikan Matematika Vol. 12 No. 1 (2025): May 2025
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/jrpm.v12i1.66161

Abstract

This research was development research which produced a product in the form of a mathematics module based on HOTS (Higher Order Thinking Skills) questions on social arithmetic material. This research aimed to develop a mathematics module based on HOTS questions on social arithmetic material and to determine the validity, practicality and effectiveness of the module developed. The development model used is the Thiagarajan 4-D model. This module was said to be very valid from the material and media aspects, as can be seen from the results of the average total score for the two validators being 88% and 90% with very valid criteria for materi and media experts. This module was said to be practical, as can be seen from the average score of student responses to the module of 82.78%, which has very practical criteria. This module was said to be effective, as seen from the post-test results, namely that there were 84.62% who had achieved completeness, namely the score obtained was above the KKM (Minimum Completeness Criteria) score. So it can be concluded that the HOTS question-based mathematics module on social arithmetic material was classified as valid, practical and effective for use as student independent teaching material.
Studi Literatur Tentang Efektivitas Metode Dua Fase dalam Menyelesaikan Masalah Program Linear Syofiah Sinaga; Selviana Anggreani; Vina Al Liana; Siti Salamah Br Ginting
Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa Vol. 3 No. 4 (2025): Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/algoritma.v3i4.608

Abstract

This study uses a qualitative method with a literature review approach to examine the effectiveness of the two-phase method in solving linear programming problems. The two-phase method is one of the techniques in linear programming used when the objective function does not have a feasible initial solution directly. Through the exploration and analysis of various scientific literature sources from 2019 onwards, this study finds that the two-phase method can systematically provide optimal solutions, especially in complex problems with multiple constraints. Previous research has shown that this method is effective in accelerating the identification of basic feasible solutions and minimizing unnecessary iterations compared to the standard simplex method. Additionally, the two-phase method offers better numerical stability and high reliability in both industrial and educational applications. However, its effectiveness largely depends on the understanding of the algorithm and the ability to design an appropriate mathematical model. The results of this study are expected to contribute theoretically to the development of efficient solution techniques for linear optimization problems.
Penerapan Program Linier untuk Menyelesaikan Masalah Alokasi Sumber Daya Pada Persoalan Penugasan Bayhaqi Yasri; Fauziah Mawaddah Harefa; Maulia Fadila; Nazira Ananda; Siti Salamah Br Ginting
Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa Vol. 3 No. 4 (2025): Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/algoritma.v3i4.620

Abstract

Efficient resource allocation is a major challenge in various sectors, especially when faced with limitations in quantity, time, and cost. This study aims to examine the application of linear programming as an optimization method in solving assignment problems, where a number of resources must be optimally allocated to a number of specific tasks. Through a literature study approach, this study examines various relevant previous study results, especially in the Indonesian context. The results of the study indicate that linear programming is able to improve operational efficiency, reduce costs, and produce a more balanced task distribution. However, this model has limitations in dealing with non-linear conditions and data uncertainty, so integration with other methods such as fuzzy logic or genetic algorithms is needed. This study is expected to broaden the understanding of the benefits of linear programming and encourage its wider application in quantitative-based decision making.
Studi Literatur tentang Penerapan Program Linear Bilangan Bulat dalam Optimasi Penjadwalan dan Alokasi Sumber Daya Melinda Azizah; Sabrina Aisha Putri Lubis; Muhammad Murdani; Inna Muthmainnah Dalimuntha; Siti Salamah Br. Ginting
Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa Vol. 3 No. 4 (2025): Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/algoritma.v3i4.626

Abstract

Scheduling and resource allocation are two crucial aspects in various fields, including manufacturing, transportation, education, and information systems. The complexity of decision making is often increased by integer constraints, such as the number of workers, machines, or indivisible working hours. Therefore, the Integer Linear Programming (ILP) approach is one of the methods widely used in solving optimization problems involving discrete variables. This literature study aims to review previous studies that apply ILP in the context of scheduling and resource allocation optimization. This study reviews model approaches, solution techniques such as the branch and bound method and cutting plane, and their implementation in various real cases. The results of the study show that ILP is able to provide optimal or near-optimal solutions in scenarios with complex constraints and integer variables. This study also identifies challenges in implementing ILP models, such as the scale of the problem and high computational requirements, as well as opportunities for further research that includes hybridizing the ILP method with a heuristic approach. Thus, ILP remains a very relevant and effective tool in supporting optimization-based decision making in various sectors.
Tinjauan Literatur tentang Peran Analisis Sensitivitas dalam Model Program Linear untuk Sektor Perdagangan Hadiyatunnisa, Putri; Sabita, Siti Aqilah; Siregar, Rasyid Ridho; Athifah, May Sarah; Br Ginting, Siti Salamah
Jurnal Kualitas pendidikan (JKP) Vol 3 No 2 (2025)
Publisher : CV Edu Tech Jaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.65311/jkp.v3i2.1638

Abstract

Penelitian ini melakukan tinjauan literatur sistematis mengenai peran analisis sensitivitas dalam model pemrograman linear untuk sektor perdagangan. Metode studi literatur kualitatif deskriptif digunakan dengan menganalisis 15 artikel ilmiah relevan dengan penelitian ini. Hasil menunjukkan analisis sensitivitas berperan penting dalam mengevaluasi ketahanan solusi optimal terhadap perubahan parameter koefisien fungsi tujuan dan nilai batasan. Temuan mengonfirmasi bahwa analisis sensitivitas tidak hanya menghindari perhitungan ulang saat perubahan parameter, tetapi memberikan wawasan strategis dalam mengelola risiko keuangan, mengoptimalkan kombinasi produk, dan menyusun strategi adaptif terhadap dinamika pasar. Penelitian membuktikan relevansi analisis sensitivitas untuk perusahaan besar maupun UMKM dalam konteks produksi, distribusi, dan perencanaan operasional, serta memberikan gambaran komprehensif implementasinya untuk pengambilan keputusan berbasis model matematis yang akurat dan strategis di sektor perdagangan.
Systematic Literature Review: Implementasi Metode Big M dalam Mengoptimalkan berbagai Kasus Program Linier Azra Sabrina; Nursania Simbolon; Armina Rangkuti; Siti Salamah Br Ginting
Katalis Pendidikan : Jurnal Ilmu Pendidikan dan Matematika Vol. 2 No. 3 (2025): September : Katalis Pendidikan : Jurnal Ilmu Pendidikan dan Matematika
Publisher : Lembag

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/katalis.v2i3.2018

Abstract

Linear programming is a crucial operations research method for optimization problems in various fields like manufacturing and logistics, but it is often hindered by the absence of a basic feasible solution due to artificial variables. The Big M method addresses this by adding artificial variables and a large penalty, allowing the discovery of a valid initial solution without altering the constraint structure. This research employs a Systematic Literature Review (SLR) to examine the implementation of the Big M method in Indonesia from 2015-2025, analyzing journals and proceedings related to linear programming optimization. The review findings indicate that this method is highly effective and flexible for diverse cases such as production, animal feed, and scheduling, capable of handling artificial constraints and optimizing profit or cost. Although efficient, the Big M method has drawbacks, including computational complexity and dependence on the precise selection of the M value, which can affect result accuracy. Overall, the Big M Method remains relevant and important for real-world optimization problems requiring systematic constraint handling.
Penerapan Metode Hungarian pada Usaha Rumahan Kue Cincin untuk Meminimalkan Biaya Operasional : (Studi Kasus: UMKM Pak Sofwan) Apriani Syahputri; Fadilah Aulia; Siti Izzati Sarah; Siti Salamah Br Ginting
Katalis Pendidikan : Jurnal Ilmu Pendidikan dan Matematika Vol. 2 No. 3 (2025): September : Katalis Pendidikan : Jurnal Ilmu Pendidikan dan Matematika
Publisher : Lembag

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/katalis.v2i3.2079

Abstract

Micro, Small, and Medium Enterprises (MSMEs) play a vital role in the Indonesian economy, including in the traditional culinary sector such as the home-based Kue Cincin Sofwan business. However, in its operations, inefficient division of worker tasks is often found, resulting in wasteful costs. This study aims to apply the Hungarian Method in determining optimal worker assignments in order to minimize operational costs. The study was conducted through a case study approach with observation, interview, and documentation techniques on four workers and four main types of work: kneading, molding, frying, and distributing cakes. Working time data was converted into costs, then analyzed using the Hungarian Method through row and column reduction steps and zero-based assignments in the matrix. . The results showed a 25% decrease in operational costs compared to the previous assignment system. The results of the analysis showed that optimal worker allocation resulted in assignments with lower total costs than the previous unstructured method. Thus, the application of the Hungarian Method has proven effective in helping MSMEs, especially home businesses, improve operational efficiency and cost savings. This study is expected to be a reference for similar business actors in managing human resources more efficiently and scientifically.
Studi Literature: Optimalisasi Biaya Distribusi Menggunakan Metode Transportasi dalam Program Linier pada Berbagai Sektor Industri Tri Andini, Amelia; Purba, Halimatussya’diyah; Harahap, Hani Rarti Syahara; Hasan, Maulana; Br Ginting, Siti Salamah
Komprehensif Vol 3 No 2 (2025)
Publisher : CV Edu Tech Jaya

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

Abstract

Penelitian ini bertujuan untuk mengkaji efektivitas metode transportasi dalam pemrograman linier sebagai strategi optimalisasi biaya distribusi pada berbagai sektor industri. Melalui pendekatan studi literatur sistematis, penelitian ini menganalisis beragam studi kasus yang menerapkan metode solusi awal seperti North West Corner (NWC), Least Cost (LC), dan Vogel’s Approximation Method (VAM), serta metode solusi optimal seperti Stepping Stone dan Modified Distribution Method (MODI). Hasil analisis menunjukkan bahwa metode-metode tersebut secara signifikan mampu menurunkan biaya distribusi, dengan VAM seringkali memberikan solusi awal paling efisien, sedangkan kombinasi dengan metode optimasi lanjutan seperti Stepping Stone atau MODI semakin memperkuat efisiensi alokasi. Efektivitas metode sangat dipengaruhi oleh karakteristik distribusi dan skala operasional perusahaan, serta penyesuaian terhadap struk tur dan jumlah titik distribusi.
Systematic Literature Review : Penerapan Metode Branch and Bound dalam Optimalisasi Produksi Sherly Putri Revika; Jamiah Nurhakiki; Bulan Naysabilla; Siti Salamah Br Ginting
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa Vol. 3 No. 3 (2025): Juni: Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/bilangan.v3i3.596

Abstract

This study presents a Systematic Literature Review (SLR) focusing on the application of the Branch and Bound (B&B) method in production optimization. In modern industry, achieving operational efficiency and profitability is essential, yet optimization often yields fractional solutions that are unrealistic for indivisible entities. The Branch and Bound method, as part of Integer Programming, has proven effective in addressing these constraints by converting fractional solutions into optimal integer values. This SLR analyzed 12 scientific articles published between 2016 and 2024, sourced from databases such as Google Scholar, Scopus, and SINTA. The analysis reveals that B&B is widely utilized to maximize production profit across various sectors, including spring beds, woven fabrics, bread, and furniture, often formulated as Integer Linear Programming (ILP) problems. Furthermore, this method is also applied to minimize production time and determine the shortest routes. Overall, B&B is a flexible and efficient tool that assists companies in managing resources and achieving maximum profit with realistic integer solutions.
Systematic Literature Review : Analisis Metode Simpleks dalam Menyelesaikan Permasalahan dalam Kehidupan Sehari-Hari Ghasani Fathonia; Adawiyah Ritonga; Ega Trianingsih Aksana; Siti Salamah Br Ginting
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa Vol. 3 No. 3 (2025): Juni: Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/bilangan.v3i3.597

Abstract

This research employs a Systematic Literature Review (SLR) approach to analyze the application of the simplex method as a tool for solving real-world optimization problems. Mathematics education plays a crucial role in developing critical thinking and achieving accurate results. Linear programming, with its highly effective simplex method, is a branch of mathematics proven to solve various optimization challenges such as cost minimization, profit maximization, distribution, and scheduling. In practice, the simplex method is an alternative algorithm that systematically searches for the optimal solution to problems by moving from one feasible solution to another until the best result is achieved. This study identifies, examines, evaluates, and interprets relevant studies on the simplex method's application in real-world contexts. Our review of 20 journals reveals that the simplex method is highly effective in solving a wide range of optimization problems, from large-scale industries to Micro, Small, and Medium Enterprises (MSMEs). Examples of its application include optimizing fish feed costs at PT. Indojaya Agrinusa, maximizing profits for Seblak MSMEs, determining optimal sales quantities for areca nuts, and optimizing the production of tofu and pottery crafts, among others. The simplex method's ability to consider various limiting factors has proven to be extremely helpful.
Co-Authors A.Irma Putri Meilina Abdullah Nasution Abdullah Nasution Adawiyah Ritonga Ade Syamfitri Ahyaningsih, Faiz Ajeng Sri Hadimiati Alfito Fatihah Ali Mahdi, Azra Alya Rahmadani Harahap Amry, Zul Andespa Siregar Andini, Rizka Tri Angkat, Dhevy Kartika Ayu Annisa Aulia Dahlan Dalimunthe Annisa Ul Khoiriah Pasaribu Annisa Ul Khoiriah Pasaribu Apendi, Rahmat Apriani Syahputri Armina Rangkuti Asrah Nabila Purba Athifah, May Sarah Atika Rahmah Avita Salsabila Azra Sabrina Bayhaqi Yasri Br Munthe , Anisah Putri Br. Silalahi, Rafiqah Gunawan Bulan Naysabilla Cici Wulandari Cyntia Suarni Arifin Dahlan, Nabila Adelia Daulay, Irma Sari Desmi Fitri Syahdani Br Sitepu Dian Armanto Dina Selvia Dini Ulya Sarah Samosir Dwina Rahayu Saputri Ega Trianingsih Aksana Ega Trianingsih Aksana Ekki Wahyuni Lubis Elvis Napitupulu, Elvis Erlianda Cibro Fadhil Abdullah Fadhil Abdullah Fadhila, Hikma Fadhilah Rahmah Fadhilah Rahmah Fadilah Aulia Fakhrezi, Ilham Achmad Fanny Selfinta Perangin-angin Farizi Aqfi Fatih Syahputra, Rizky Fatimah Zahra Fauziah Mawaddah Harefa Fauziah Mawaddah Harefa Fitria, Nabila Fitriani Fitriani Ghasani Fathonia Hadiyatunnisa, Putri Hakim Fahrezi Harahap, Alya Rahmadani Harahap, Ananda Aditya Sari Harahap, Hani Rarti Syahara Harahap, Marwah Mahfuzah Harahap, Nisaiy Darussakinah Harahap, Syafrida Laylani Hasan, Maulana Hasanah Hasanah Hasanah Hasanah Hasibuan, Aulia Rahman Hasibuan, Mega Utami Hasibuan, Patimah Herdiyanti, Aulia Hidayati, Nadia Hikmah Fazariah Humayra, Lutfia Icha Amelia Inna Muthmainnah Dalimuntha Irda Auliya Hadi Lubis Irmayati Khairiah Isran Rasyid Karo-Karo S Izwita Dewi Jamiah Nurhakiki Karin Sawita Karo-Karo S, Isran Rasyid Khairunnisa Khairunnisa Lina Yana Nababan Lubis , Mara Samin Lubis, Putri Nabila Luthvia Aprilliza Utami Mara Samin Lubis, Mara Samin Marshanda Suraya Maulia Fadila Maulia Fadila Mayang Nabila Melinda Azizah Miftah Khairiyah SM Miftah Kurnia Arfah Pulungan Muhammad Farhan Muhammad Murdani Mukhlida Khofipah Mukhlida Khofipah Hasibuan2 Murniati . Mustika Nurbayeni Nabila Rizki Aprilia Nanza Turianda Nanza Turianda Nasution, Afifah Nabila Nasution, Habib Al Ghifari Nasution, Lilis Suryani Nasution, Salimah Angreiny Nasution, Sarmila Fitri Yanti Nazira Ananda Nur Elisah Nasution Nur Hidayah Limbong Nur Saniyah Siregar Nurdiana Siregar Nurhalimah NURHALIMAH Nuria Ulfah Lubis Nuria Ulfah Lubis Nurika Kartika Dewi Nurika Kartika Dewi Nursania Simbolon Nurul Choriah Tumanggor Nurul Fatma Dewi Mardianto Pinkan Indriani Daulay Pradana, Putra Purba, Halimatussya’diyah Putri Amanda Putri Amanda Putri Khofifah Rambe Putri Rahmadani Putri Yolanda Rachma, Dianny Rahmadsyah, Fahri Rahmat Apendi Rambe, Ahmadsyah Fauzian Rani Nurfadillah Rani Nurfadillah Ratna Sari, Lisa Rifa’i, Muhammad Rindi Fatmawati Riska Dewi Rustam S, Isran Rasyid Karo-Karo Sabita, Siti Aqilah Sabrina Aisha Putri Lubis Sahrul Romadona Salsabila, yasmin Samin Lubis, Mara Samosir, Dini Ulya Sarah Saprina Maulida Saputri Saputri Sarah Rizki Pebriani Sastika, Weni Sazatul Asmal Selfi Asruri Selfi Asruri Selviana Anggreani Selviana Anggreani Sherly Putri Revika Simanjorang, Mangaratua M Sirait, Hanifah Rahmi Siregar, Nurdiana Siregar, Rasyid Ridho Siregar, Sulthon Zulkarnain Siregar, Tanti Jumaisyaroh Siti Izzati Sarah Siti Maysarah Siti Nur Aina Siti Nurmala Siti Zia Hadatul Hasanah Sitorus, Siti Fatimah Solin, Tia Ananda Sonya Liani Nasution Sri Rahayu Ningsih Sri Rezeki Suci Dahlya Narpila, Suci Dahlya Sulthon Zulkarnain Siregar Syahrani, Nur Syahrani, Vania Retna Syawal Gultom Syifa Husna Ramadhani Syofiah Sinaga Tasya Aulia Faisal Tri Andini, Amelia Tri Hartanti Trisiya, Kapita Ayu Utami, Nabila Vina Al Liana Wahyu Wahono Wahyu Wahono Wardani, Putri Winda Winata S Pane Wirdia, Indah Aini Wulan dari Yulia Nasution Zamaiyah Zannurrain, M. Fauzan Zulaily Syahrani