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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

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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.
Studi Literatur: Penerapan Persoalan Transportasi dalam Biaya Pengangkutan Barang di Pabrik-Pabrik yang Ada di Indonesia Icha Amelia; Fakhrezi, Ilham Achmad; Marshanda Suraya; 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.v3i3.601

Abstract

This study examines the application of transportation problems in an effort to minimize goods transportation costs in various factories in Indonesia, using a Systematic Literature Review (SLR) approach. Transportation problems, as a part of operations research, focus on optimizing distribution costs from sources to destinations. In the industrial context, good planning and strategy are essential to save transportation costs and increase profits. This study analyzes ten relevant journals published between 2017 and 2025, exploring various methods such as the transportation model, North West Corner, Stepping Stone, and Vogel's Approximation Method (VAM), including its modification (MVAM), to achieve efficiency in logistics distribution. The results of the study indicate that the application of these methods significantly contributes to reducing operational costs, accelerating distribution processes, and increasing overall logistics effectiveness in the Indonesian manufacturing sector.
Studi Literatur : Metode Analisis Sensitivitas pada Pemrograman Linear dan Aplikasinya dalam Optimisasi Produksi Muhammad Farhan; Luthvia Aprilliza Utami; Putri Khofifah Rambe; 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.v3i3.610

Abstract

Sensitivity analysis is an important method in linear programming used to evaluate the impact of parameter changes on optimal solutions in production optimization. This study aims to identify and analyze various sensitivity analysis methods applied in previous studies. Through a systematic literature review approach, the research finds that sensitivity analysis provides valuable insights into solution stability and the effects of parameter changes on optimal outcomes. The findings indicate that this method can support better strategic decision-making in industrial contexts. The results of this research are expected to offer practical recommendations for practitioners to enhance production efficiency and effectiveness.
Pemanfaatan Microsoft Excel Sebagai Alat Bantu dalam Penyelesaian Program Linier Dengan Metode Dua Fase Nurhaliza Lubis, Siti; Situmorang, Sintia; Hermaliya, Dinda; Riyanti, Riyanti; Br Ginting, Siti Salamah
Khidmat Vol 3 No 2 (2025)
Publisher : CV Edu Tech Jaya

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Abstract

Program linear merupakan model matematika yang digunakan untuk memaksimalkan atau meminimalkan fungsi tujuan yang dibatasi oleh sejumlah kendala linear. Terdapat beberapa metode penyelesaian linear, salah satunya yakni dengan Metode dua fase. Penelitian ini bertujuan untuk mengetahui manfaat penggunaan Microsoft Excel sebagai alat bantu untuk menyelesaikan permasalahan program linear dengan menggunakan metode dua fase. Metode penelitian yang digunakan pada penelitian ini adalah metode penelitian kuantitatif deskriptif dengan menganalisis Microsoft Excel sebagai alat bantu penyelesaian masalah program linear. Hasil analisis menunjukkan bahwa penggunaan Microsoft Excel sebagai alat bantu penyelesaian masalah program linear dengan metode dua fase menunjukkan hal positif yang berarti penggunaannya efektif.
Analisis Teori Dualitas dalam Program Linier: Konsep, Implikasi, dan Aplikasinya Kawilda Hasibuan, Cindy; Sahara, Roslina; Ardiansyah Dalimunte, Ridho; Br Ginting, Siti Salamah
Jurnal Ilmu Tarbiyah Dan Keguruan (JITK) Vol 3 No 2 (2025)
Publisher : CV Edu Tech Jaya

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Abstract

Penelitian ini bertujuan untuk menganalisis konsep teori dualitas dalam program linier, implikasinya terhadap praktik optimasi, serta relevansinya dalam mendukung pengambilan keputusan dan efisiensi sumber daya. Program linier merupakan metode matematis untuk menyelesaikan masalah optimasi dengan batasan kendala linier. Teori dualitas memperkenalkan pendekatan alternatif melalui pasangan model primal dan dual, yang saling berkaitan secara struktural dan memberikan informasi ekonomis melalui nilai marjinal atau shadow price. Studi ini menggunakan metode kajian literatur terhadap berbagai referensi ilmiah dan studi kasus yang menunjukkan penerapan konsep dualitas dalam konteks produksi dan manajemen sumber daya. Hasil kajian menunjukkan bahwa integrasi antara teori dualitas dan analisis sensitivitas memberikan manfaat besar dalam mengevaluasi kestabilan solusi optimal dan mendukung perencanaan strategis berbasis data. Meskipun demikian, tantangan dalam pemahaman teori ini masih banyak ditemukan, terutama di kalangan mahasiswa dan praktisi, sehingga dibutuhkan pendekatan pembelajaran yang lebih aplikatif dan kontekstual. Dengan penguasaan yang baik, teori dualitas dapat dimanfaatkan sebagai alat pengambilan keputusan yang efisien, adaptif, dan berorientasi pada efisiensi sumber daya dalam berbagai bidang.
Ethnomathematics in Ulos Abit Godang of South Tapanuli, North Sumatra Murniati, Murniati; Ginting, Siti Salamah Br
Indonesian Journal of Science and Mathematics Education Vol. 6 No. 3 (2023): Indonesian Journal of Science and Mathematics Education
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ijsme.v6i3.19334

Abstract

This research explores ethnomathematics, particularly the relationship between geographical culture and the use of mathematics, focusing on Ulos Abit Godang from South Tapanuli, North Sumatra. As a cultural heritage object, Ulos Abit Godang provides a unique context for analyzing the correlation between mathematical principles and local culture. A qualitative descriptive methodology with ethnographic techniques was adopted to understand the interaction between mathematical concepts and cultural context. The findings reveal a connection between the ideas of set theory and geometric transformation in the Ulos Abit Godang culture. Thus, Ulos Abit Godang of South Tapanuli holds significant ethnomathematical elements, linking cultural heritage to mathematical concepts. These insights offer valuable educational contributions, enriching ethnomathematical methods in teaching mathematics to enhance student creativity and engagement. Future research is suggested to develop similar studies on other cultural artefacts in Indonesia and integrate them into the mathematics education curriculum to enrich student learning experiences.
Meningkatkan Antusiasme Siswa Kelas IX MTs Baitur Ridha melalui Sosialisasi Pendekatan Pembelajaran Matematika yang Menyenangkan Harahap, Alya Rahmadani; Fadhila, Hikma; Rahmadsyah, Fahri; Fatih Syahputra, Rizky; Ginting, Siti Salamah Br
PEMA Vol. 4 No. 3 (2024)
Publisher : Perkumpulan Manajer Pendidikan Islam Indonesia (PERMAPENDIS) Prov. Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56832/pema.v4i3.499

Abstract

Matematika memainkan peran penting dalam perkembangan kognitif dan intelektual siswa. Meskipun semua orang setuju bahwa mata pelajaran ini penting, sebagian besar siswa menghadapi kesulitan dalam matematika karena pelajaran menjadi rumit, membosankan, dan tidak menarik untuk waktu yang lama. Akibatnya, siswa menjadi kurang termotivasi dan tertarik untuk belajar. Oleh karena itu, Kegiatan pengabdian masyarakat yang dilaksankan di MTs Baitur Ridha bertujuan untuk meningkatkan motivasi dan keinginan mereka untuk belajar matematika dengan menggunakan metode pembelajaran yang menyenangkan. Kegiatan pengabdian masyarakat ini menggunakan tiga metode: metode ekspositori, metode praktik, dan metode diskusi. Hasil kegiatan pengabdiab masyarakat ini menunjukkan adanya peningkatan yang signifikan dalam antusiasme siswa terhadap pembelajaran matematika. Siswa yang sebelumnya menunjukkan sikap negatif terhadap matematika menjadi lebih aktif dan terlibat dalam proses belajar mengajar.
Implementation of Mathematics Philosophy In Multicultural Education Br Ginting, Siti Salamah; Dewi, Izwita; Ahyaningsih, Faiz
Jurnal Pendidikan Matematika IKIP Veteran Semarang Vol 8 No 1 (2024): Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang
Publisher : Urogram Studi Pendidikan Matematika, Universitas Ivet

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31331/medivesveteran.v8i1.2946

Abstract

The aim of this research is to explore the implementation of mathematical philosophy in multicultural education. The research method used is the library research method, namely by conducting studies related to multicultural education, philosophy of mathematics, and the implementation of philosophy of mathematics in multicultural education. The research results showed that mathematical philosophy can be implemented in multicultural education, namely in the field of epistemological studies. In the field of epistemological studies, the philosophy of mathematics talks about the origins of the formation of mathematics and the study of knowledge about mathematics. The study of knowledge about mathematics cannot be separated from the characteristics of certainty, truth, objectivity, universalism and rationality. These characteristics can ultimately become the forerunner in the implementation of multicultural education. So as to create multicultural education that upholds justice, equality and unity.
Co-Authors A.Irma Putri Meilina Abdullah Nasution Adawiyah Ritonga Ade Syamfitri Ahyaningsih, Faiz Ajeng Sri Hadimiati Alfito Fatihah Ali Mahdi, Azra Amry, Zul Andespa Siregar Andini, Rizka Tri Angkat, Dhevy Kartika Ayu Annisa Aulia Dahlan Dalimunthe Annisa Ul Khoiriah Pasaribu Apendi, Rahmat Apriani Syahputri Ardiansyah Dalimunte, Ridho 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 Ekki Wahyuni Lubis Elvis Napitupulu, Elvis Fadhil Abdullah Fadhila, Hikma Fadhilah Rahmah Fadilah Aulia Fakhrezi, Ilham Achmad Fanny Selfinta Perangin-angin Fara Syifa Nabila Siregar Farizi Aqfi Fatih Syahputra, Rizky Fatimah Zahra 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 Hermaliya, Dinda Hidayati, Nadia Hikmah Fazariah Humayra, Lutfia Icha Amelia Inna Muthmainnah Dalimuntha Irda Auliya Hadi Lubis Izwita Dewi Jamiah Nurhakiki Karin Sawita Kawilda Hasibuan, Cindy Khairiah, Irmayati Khairunnisa Khairunnisa Lina Yana Nababan Lubis , Mara Samin Lubis, Putri Nabila Luthvia Aprilliza Utami Mara Samin Lubis, Mara Samin Marshanda Suraya Maulia Fadila Mayang Nabila Melinda Azizah Miftah Kurnia Arfah Pulungan Muhammad Farhan Muhammad Murdani 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 Nazila, Ila Nazira Ananda Nur Aisyah Nur Elisah Nasution Nur Hidayah Limbong Nur Saniyah Siregar Nurdiana Siregar NURHALIMAH Nurhaliza Lubis, Siti Nuria Ulfah Lubis Nurika Kartika Dewi Nursania Simbolon Nurul Choriah Tumanggor Nurul Fatma Dewi Mardianto Pebriani, Sarah Rizki Pinkan Indriani Daulay Pradana, Putra Purba, Halimatussya’diyah Putri Amanda Putri Amanda Putri Khofifah Rambe Putri Rahmadani Putri Yolanda Qori Aulia Hafni Nasution Rachma, Dianny Rahmadsyah, Fahri Rahmat Apendi Rambe, Ahmadsyah Fauzian Rani Nurfadillah Ratna Sari, Lisa Rifa’i, Muhammad Rindi Fatmawati Riska Dewi Riyanti Riyanti Rustam S, Isran Rasyid Karo-Karo Sabita, Siti Aqilah Sabrina Aisha Putri Lubis Sahara, Roslina Sahrul Romadona Salsabila, yasmin Samin Lubis, Mara Samosir, Dini Ulya Sarah Saprina Maulida Saputri Saputri Saputri, Saputri Sarah Rizki Pebriani Sastika, Weni Sazatul Asmal Selfi Asruri Selfi Asruri 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 Situmorang, Sintia Solin, Tia Ananda Sonya Liani Nasution Sri Rahayu Ningsih Sri Rezeki Suci Dahlya Narpila, Suci Dahlya 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 Wardani, Putri Winda Winata S Pane Wirdia, Indah Aini Wulan dari Yulia Nasution Zamaiyah Zannurrain, M. Fauzan Zulaily Syahrani