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ESTIMASI MATEMATIS UNTUK JUMLAH PENGIRIMAN PAKET BARANG DI JNE MOJOKERTO DENGAN METODE DOUBLE EXPONENTIAL SMOOTHING Dwi Roudhotillah; Vita Kusumasari; Mochammad Hafiizh; Imam Supeno
Jurnal Kajian Matematika dan Aplikasinya (JKMA) Vol 2, No 1 (2021): January
Publisher : UNIVERSITAS NEGERI MALANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17977/um055v2i12021p19-23

The increasing number of package shipments of goods at JNE Mojokerto could highly affect the delays in time delivery. It is strongly necessary to mathematically estimate the number of package shipments of goods for the next month to prepare the resources that are needed by the company. The estimated number of deliveries is calculated by applying the Double Exponential Smoothing method. The monthly data obtained from January 2017 until December 2019 are used in that method, while the 4 months data from January 2020 until April 2020 are used to validated the estimation results. This result shows that the estimation for 4 months from January 2020 until April 2020 are 86421, 87787, 89154, and 90520 respectively. From the validation, the mean absolute percentage error 8%.

APLIKASI ROF TOTAL VARIATION MENGGUNAKAN SPLIT BREGMAN UNTUK MENGURANGI NOISE PADA GAMBAR PEMBULUH DARAH KAPILER DALAM JARI MANUSIA Mochammad Hafiizh; Vita Kusumasari; Defri Ahmad
Jurnal Kajian Matematika dan Aplikasinya (JKMA) Vol 1, No 1 (2020): July
Publisher : UNIVERSITAS NEGERI MALANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17977/um055v1i12020p33-36

An image might have noises that could lose important information on that image. As a consequence, we need a consistent method to reduce the noise without erasing the important information. In this paper, ROF Total Variation using Split Bregman is applied to the image to reduce the noise. We choose the monochrome image of the human capillaries on the fingertips.

KONTROL OPTIMAL PADA MODEL DINAMIK PENYEBARAN VIRUS KOMPUTER DENGAN MENGGUNAKAN PONTRYAGIN MAXIMUM PRINCIPLE (PMP) ASMIANTO ASMIANTO; KRIDHA PUSADWIJAYANTI; MOCHAMMAD HAFIIZH
E-Jurnal Matematika Vol 9 No 4 (2020)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2020.v09.i04.p309

In this paper, it is discussed about giving control variable to dynamic systems to process the spread of viruses on computers. The dynamic model describes the process of spreading viruses on the computer, where susceptible can be instantly removed and infected can instantly become susceptible. And through qualitative analysis on the model is given a control and completed using the Pontryagin Maximum Principle (PMP) method on infected interactions so that the infected computer can be minimized. Dynamic models that have been given control are simulated using MATLAB software and the results show the infected computer is reduced enough significan.

Consistency Of Definition Of Orthogonality In A Partial Metric Induced By A Metric Mochammad Hafiizh; Nila Puspita Dewi; Sisworo; Dahliatul Hasanah
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 10 No. 1 (2023): Jurnal Derivat (April 2023)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/jderivat.v10i1.4620

An extension of the metric space in which the distance of the same point is not always zero is called a partial metric space. Orthogonality is the relation of two perpendicular lines at one point of intersection forming a right angle. There are several ways to define orthogonality, including Pythagorean Orthogonality, Isosceles Orthogonality, and Birkhoff-James Orthogonality. The purpose of this research is to study the consistency of the definition of orthogonality in the metric space to the partial metric space. Based on these results, it can be concluded that the partial metric space can be obtained by linear induction from a metric space. Then, in developing the definition of orthogonality to the partial metric space, it can be concluded that the qualified orthogonality is the I-orthogonality and the BJ-orthogonality, while the P-orthogonality does not qualify the consistency of the definition of orthogonality in the partial metric space. Kata Kunci: Orthogonality, Consistency, and Partial metric space

Pengenalan Media Manipulatif untuk Mendukung Konsep Matematika pada Siswa Kelas XII SMA Negeri 1 Gondang Nganjuk Dewi Utami, Anita; Rustanto Rahardi; Mochammad Hafiizh; Lucky Tri Oktaviana
Room of Civil Society Development Vol. 2 No. 2 (2023): Room of Civil Society Development
Publisher : Lembaga Riset dan Inovasi Masyarakat Madani

Media manipulatif merupakan berbagai jenis benda yang dapat dimanipulasi untuk membantu siswa dalam memahami konsep matematis. Tujuan dari pengabdian ini adalah mengenalkan media manipulatif untuk mendukung pemahaman konsep matematis pada Siswa SMA Negeri 1 Gondang Nganjuk. Metode yang digunakan melalui empat tahap yaitu tahap pertama adalah persiapan tim dari Departemen Matematika. Tahap kedua adalah diskusi antar tim pengabdi tentang pemanfaatan media manipulatif. Tahap ketiga adalah koordinasi antara tim pengabdi dengan pihak sekolah. Tahap keempat yaitu penyampaian pemateri kepada siswa kelas XII SMA Negeri 1 Gondang Nganjuk. Pengabdian telah terlaksana dengan cukup baik. Hal ini dapat dilihat dari partisipasi mitra dalam pelaksanaan kegiatan pkm sangat antusias dan aktif. Tingkat keberhasilan pkm ini didasarkan pada indikator partisipasi peserta dalam pelaksanaan kegiatan dan daya serap peserta dari materi yang diberikan yaitu: (1) partisipasi peserta sangat tinggi, telah dibuktikan dengan kehadiran siswa pada kegiatan secara penuh dan selalu aktif mengemukakan pendapat serta antusias saat pelaksanaan. (2) Daya serap peserta pkm dalam penguasaan membuat media manipulatif memiliki rata-rata baik.

PENERAPAN PEWARNAAN GRAF UNTUK MENINGKATKAN EFISIENSI PENJADWALAN MENGAJAR GURU DI MTS AL-KHOIRIYAH Hamid, Nur; Maghfirah, Hidayatul; Su'aibah, Siti; Jawad, Muhammad; Khoiruman, Muhammad; Hafiizh, Mochammad
Jurnal Kajian Matematika dan Aplikasinya (JKMA) Vol 4, No 1 (2023): JANUARY
Publisher : UNIVERSITAS NEGERI MALANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17977/um055v4i12023p6-14

Scheduling subjects in a school often gives a conflicting schedule to some teachers. On the other hand, graph theory can help to solve. One of the methods to solve the problem is implementing a coloring graph. In this paper, we apply the coloring graph using the Welch-Powell algorithm for scheduling subjects in MTs Al-Khoiriyah.Keywords: Welch-Powell algorithm, Coloring graph.

An Optimization Model for the Nurse Scheduling Problem Considering Workload Variance Badriyah, Jamaliatul; Laynufar Silsilia Alhila; Mochammad Hafiizh; Lilik Muzdalifah
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 3 (2024): Jurnal Derivat (Desember 2024)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/j.derivat.v11i3.6899

The Nurse Scheduling Problem (NSP) is a critical issue in healthcare management, involving the assignment of nurses to shifts while adhering to constraints such as hospital requirements, legal obligations, and nurse preferences. A key objective is to balance workloads among nurses, minimizing variance to prevent burnout and ensure high-quality patient care. Despite various models addressing NSP, such as goal programming and stochastic methods, a significant gap remains in balancing workloads within individual shifts, which is crucial for nurse well-being and operational efficiency. This study develops an optimized nurse scheduling model for the emergency department (ED) of Dr. Saiful Anwar Hospital (RSSA) in Malang, using data from January 2024. The model considers 21 nurses, including 4 chief nurses, and aims to minimize workload variance across shifts while ensuring each nurse works at least 21 days per month. The simulation results show that the optimized schedule achieves a more equitable distribution of shifts and days off compared to the actual January 2024 schedule. The optimized model ensures that all nurses, except chief nurses, are assigned 21 working days with evenly distributed rest days, reducing fatigue and enhancing nurse well-being. This study advances NSP research by focusing on workload balance within shifts, contributing to improved healthcare service quality and nurse satisfaction. Future research should explore adaptive scheduling and incorporate factors like nurse preferences and patient acuity to further enhance scheduling flexibility and efficiency. Keywords: Nurse Scheduling Problem, Optimization, Scheduling

ANALISIS PROSES BERPIKIR KOMPUTASI SISWA PADA MATERI BARISAN ARITMETIKA BERDASARKAN KECERDASAN MAJEMUK Rosevita Melati; Toto Nusantara; Mochammad Hafiizh
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 13, No 4 (2024)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v13i4.9189

Kemampuan berpikir komputasi adalah keterampilan yang dibutuhkan pada pembelajaran di Abad 21. Berpikir komputasi menjadi keterampilan penting untuk melatih siswa menyelesaikan masalah, sedangkan setiap siswa memiliki kecerdasan majemuk yang beragam. Penelitian ini bertujuan untuk mendeskripsikan proses berpikir komputasi pada barisan aritmetika berdasarkan kecerdasan majemuk. Penelitian ini merupakan penelitian deskriptif kualitatif. Partisipan dalam penelitian ini dipilih menggunakan teknik purposive sampling dengan berdasarkan kecerdasan majemuk siswa. Berdasarkan purposive sampling terpilih 6 partisipan, meliputi dua partisipan dengan kecerdasan visual spasial, dua partisipan dengan kecerdasan verbal linguistik, dan dua partisipan dengan kecerdasan logis matematis. Teknik pengumpulan data dilakukan melalui tes dan wawancara. Analisis data terhadap proses berpikir komputasi siswa dilihat berdasarkan kecerdasan majemuknya yaitu visual spasial, verbal linguistik, dan logis matematis. Hasil analisis menunjukkan bahwa proses berpikir komputasi ketiga kategori siswa dimulai dengan mendekomposisi masalah. Pada tahap berpikir algoritma siswa dengan kecerdasan visual spasial melakukan pengenalan pola dengan baik, siswa dengan kecerdasan verbal lingustik menggunakan kemampuan pemahaman ilustrasi soal untuk menyelesaikan masalah selanjutnya mengabstraksi informasi soal menggunakan istilah matematis untuk menemukan generalisasi rumus umum. Siswa dengan kecerdasan logis matematis berpikir melakukan abstraksi dan generalisasi menggunakan simbol matematis. Pada tahap debugging tidak dilakukan oleh seluruh siswa sehingga siswa memperoleh hasil akhir yang kurang tepat. Computational thinking ability is a skill required in 21st-century learning. Computational thinking becomes an important skill to train students in problem-solving, especially because each student has diverse multiple intelligences. This study aims to describe the process of computational thinking in arithmetic sequences based on multiple intelligences. This research is a qualitative descriptive study. Participants in this study were selected using purposive sampling techniques based on students' multiple intelligences. Six subjects were chosen using purposive sampling, including two with visual-spatial intelligence, two with verbal-linguistic intelligence, and two with logical-mathematical intelligence. Data collection approaches included tests and interviews. Data analysis on the process of students' computational thinking was viewed based on their multiple intelligences, such as visual-spatial, verbal-linguistic, and logical-mathematical. The analysis results revealed that the computational thinking process of the three student groups began with dissecting the problem. Visual-spatial intelligence students excelled at pattern detection throughout the algorithmic thinking level. Students with verbal-linguistic intelligence solved the problem by first understanding the illustration and then abstracting the problem information using mathematical words to create generalizations of general formulas. Students with logical-mathematical intelligence think by performing abstraction and generalization using mathematical symbols. The debugging stage was not performed by all students, resulting in less accurate final results.

An Optimization Model for the Nurse Scheduling Problem Considering Workload Variance Badriyah, Jamaliatul; Laynufar Silsilia Alhila; Mochammad Hafiizh; Lilik Muzdalifah
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 3 (2024): Jurnal Derivat (Desember 2024)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/j.derivat.v11i3.6899

The Nurse Scheduling Problem (NSP) is a critical issue in healthcare management, involving the assignment of nurses to shifts while adhering to constraints such as hospital requirements, legal obligations, and nurse preferences. A key objective is to balance workloads among nurses, minimizing variance to prevent burnout and ensure high-quality patient care. Despite various models addressing NSP, such as goal programming and stochastic methods, a significant gap remains in balancing workloads within individual shifts, which is crucial for nurse well-being and operational efficiency. This study develops an optimized nurse scheduling model for the emergency department (ED) of Dr. Saiful Anwar Hospital (RSSA) in Malang, using data from January 2024. The model considers 21 nurses, including 4 chief nurses, and aims to minimize workload variance across shifts while ensuring each nurse works at least 21 days per month. The simulation results show that the optimized schedule achieves a more equitable distribution of shifts and days off compared to the actual January 2024 schedule. The optimized model ensures that all nurses, except chief nurses, are assigned 21 working days with evenly distributed rest days, reducing fatigue and enhancing nurse well-being. This study advances NSP research by focusing on workload balance within shifts, contributing to improved healthcare service quality and nurse satisfaction. Future research should explore adaptive scheduling and incorporate factors like nurse preferences and patient acuity to further enhance scheduling flexibility and efficiency. Keywords: Nurse Scheduling Problem, Optimization, Scheduling

Pengenalan Media Manipulatif untuk Mendukung Konsep Matematika pada Siswa Kelas XII SMA Negeri 1 Gondang Nganjuk Dewi Utami, Anita; Rustanto Rahardi; Mochammad Hafiizh; Lucky Tri Oktaviana
Room of Civil Society Development Vol. 2 No. 2 (2023): Room of Civil Society Development
Publisher : Lembaga Riset dan Inovasi Masyarakat Madani

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59110/rcsd.170

Media manipulatif merupakan berbagai jenis benda yang dapat dimanipulasi untuk membantu siswa dalam memahami konsep matematis. Tujuan dari pengabdian ini adalah mengenalkan media manipulatif untuk mendukung pemahaman konsep matematis pada Siswa SMA Negeri 1 Gondang Nganjuk. Metode yang digunakan melalui empat tahap yaitu tahap pertama adalah persiapan tim dari Departemen Matematika. Tahap kedua adalah diskusi antar tim pengabdi tentang pemanfaatan media manipulatif. Tahap ketiga adalah koordinasi antara tim pengabdi dengan pihak sekolah. Tahap keempat yaitu penyampaian pemateri kepada siswa kelas XII SMA Negeri 1 Gondang Nganjuk. Pengabdian telah terlaksana dengan cukup baik. Hal ini dapat dilihat dari partisipasi mitra dalam pelaksanaan kegiatan pkm sangat antusias dan aktif. Tingkat keberhasilan pkm ini didasarkan pada indikator partisipasi peserta dalam pelaksanaan kegiatan dan daya serap peserta dari materi yang diberikan yaitu: (1) partisipasi peserta sangat tinggi, telah dibuktikan dengan kehadiran siswa pada kegiatan secara penuh dan selalu aktif mengemukakan pendapat serta antusias saat pelaksanaan. (2) Daya serap peserta pkm dalam penguasaan membuat media manipulatif memiliki rata-rata baik.

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