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All Journal Mathvision : Jurnal Matematika M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Journal of Sustainable Community Development
Muzdalifah, Lilik
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Education Environmental Science Mathematics

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AHP-TOPSIS: Multi-Criteria Decision Making Method With Hierarchical Weighting to Determine Priorities for Leak Work Drinking Water Pipe Muzdalifah, Lilik; Nursiyami, Sutanti
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 9 No. 1 (2024): Mathline: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v9i1.377

Abstract

This research aims to develop an effective multi-criteria decision making method by paying attention to the validity of the criteria weighting. In previous research, the TOPSIS method was applied to the problem of determining priorities for repairing drinking water pipe leaks by paying attention to four (4) criteria, namely the duration of the complaint, the size of the leak, the leak point, and the distance from the leak point to the location of the officer handling the leak.. The research results show that the TOPSIS method has a simple concept and is able to provide priority recommendations for the order of work based on consumer complaints. However, in this research the results of decision making were considered not optimal because the TOPSIS method for calculating criteria weights did not yet have a hierarchical mediator that guaranteed the validity of the criteria weightings. Therefore, this research tries to combine two methods (AHP-TOPSIS), namely Analytical Hierarchy Process (AHP) and Technique for Order Performance by Similarity to Idea Solution (TOPSIS). AHP is a Multi Criteria Decision Making (MADM) method that can be used to determine criteria weights hierarchically, with a smooth order of levels and considering the relationship between criteria. In this research, AHP was used to obtain criteria weights and TOPSIS to rank priorities for work on drinking water pipe leaks. The research results show that AHP-TOPSIS can produce a more effective and valid rating to help solve the problem of determining priorities for working on drinking water pipe leaks. This solution is the best decision where work priorities are selected based on criteria that are in accordance with service priorities.
PENENTUAN LOKASI OPTIMAL LAYANAN EMERGENSI BERBASIS RESIKO KECELAKAAN DI KOTA MALANG Badriyah, Jamaliatul; Maharani, Wina Evita; Wardhana, Rangga; Muzdalifah, Lilik; Huda, Moch. Khoridatul
MathVisioN Vol 7 No 1 (2025): Maret 2025
Publisher : Prodi Matematika FMIPA Unirow Tuban

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55719/mv.v7i1.1677

Abstract

Penentuan Lokasi Optimal Layanan Emergensi dilakukan untuk menentukan calon-calon lokasi penempatan layanan emergensi sehingga dapat membantu penanganan kasus emergensi dengan efektif dan efisien. Dalam penentuan lokasi optimal layanan emergensi, terdapat dua tujuan utama, yaitu meningkatkan jangkauan layanan emergensi dan mempercepat waktu respon keadaan darurat. Dalam penelitian ini, kedua tujuan tersebut menjadi fokus utama. Oleh karena itu penelitian ini mengajukan model bi-objective untuk menyelesaikan kedua model secara simultan. Model tersebut kemudian diselesaikan dengan menggunakan teknik lexicographic. Hasil penelitian menunjukkan bahwa hasil dari model bi-objective memberikan desain lokasi fasilitas pelayanan yang mempu melayani demand dalam waktu yang lebih singkat dibandingkan dengan hasil dari model dengan fungsi objektif tunggal. Selain itu, pengintegrasian variabel tingkat kecelakaan pada model memberikan hasil yang memprioritaskan daerah rawan kecelakaan sebagai calon lokasi fasilitas dalam upaya untuk mempercepat waktu respon
ASYMPTOTIC STUDY OF NONLINEAR SPRING OSCILLATION WITH EXTERNAL FORCE USING THE MULTIPLE TIME SCALES METHOD Setyowisnu, Glagah Eskacakra; Muzdalifah, Lilik; Saputro, Isnu Aji
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 17 No 2 (2025): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2025.17.2.18081

Abstract

A nonlinear spring is a type of oscillator that does not follow Hooke's law perfectly. In mathematics, this type of oscillator can be modeled in a nonlinear ordinary differential equation. Of the many discussions on oscillation models, one examines the behavior of the model when disturbed by a parameter with a very small value. In this study, a discussion will be conducted regarding the behavior of the oscillation model with external forces added to the disturbance parameters in the damping and spring stiffness terms. To observe this behavior, one of the techniques in asymptotic analysis called the multiple time scales method is used. The results of this study will show the behavior of the oscillation model with the disturbance parameters caused by the resonance that occurs. To provide a clearer picture, the oscillations that occur are presented in the form of a simulation result graph, containing a comparison between the approximate solution and the numerical solution. Based on the discussion given, it is concluded that the oscillations in the model are strongly influenced by a certain relationship between the natural frequency of the nonlinear spring and the frequency of the external force acting on the model.
Penguatan Literasi Numerasi dalam Pembelajaran Matematika melalui Program Dosen Tamu di SMA Muhammadiyah Boarding School Zam-Zam Cilongok Sofiyati, Noor; Muzdalifah, Lilik; Puspita, Dian; Setyowisnu, Glagah Eskacakra; Saputro, Isnu Aji
Journal of Sustainable Community Development Vol. 4 No. 1 (2026): Journal of Sustainable Community Development
Publisher : MID Publisher International

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.60036/qmbh1x55

Abstract

Program Pengabdian kepada Masyarakat (PkM) ini bertujuan untuk meningkatkan kemampuan literasi numerasi siswa melalui pembelajaran matematika yang kontekstual dan berfokus pada siswa (student-centered learning). Kegiatan dilakukan melalui program dosen tamu di SMA Muhammadiyah Boarding School (MBS) Zam-Zam Cilongok. Kegiatan ini merupakan bagian dari pelaksanaan kerja sama antara FMIPA Universitas Jenderal Soedirman dengan sekolah mitra. Materi yang dijelaskan mencakup lima topik dalam pembelajaran matematika SMA, yaitu persamaan kuadrat, barisan dan deret, matriks, eksponen, dan sistem persamaan linier. Metode pembelajaran yang digunakan adalah pembelajaran kontekstual dengan pendekatan student-centered learning. Evaluasi dilakukan dengan kuis, pengamatan aktivitas siswa, dan umpan balik dari guru mitra. Hasil kegiatan menunjukkan bahwa lebih dari 80% siswa mampu memahami konsep matematika dengan lebih baik dan berpartisipasi aktif dalam kegiatan pembelajaran. Guru mitra juga memberikan tanggapan yang positif terhadap metode pembelajaran yang diterapkan. Program ini menunjukkan bahwa kerja sama antara perguruan tinggi dan sekolah bisa menjadi model yang efektif dalam mendukung pendidikan berkualitas di lingkungan sekolah.
Co-Authors Dian Puspita Huda, Moch. Khoridatul Jamaliatul Badriyah Maharani, Wina Evita Nursiyami, Sutanti Saputro, Isnu Aji Setyowisnu, Glagah Eskacakra Sofiyati, noor Wardhana, Rangga