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All Journal Jurnal Sains Matematika dan Statistika EKOLOGIA : Jurnal Ilmiah Ilmu Dasar dan Lingkungan Hidup Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Jurnal Karya Abdi Masyarakat Jurnal Indonesia Sosial Sains Hipotenusa: Journal of Mathematical Society International Journal of Mathematics, Statistics, and Computing
Maya Widyastiti, Maya
Bogor Agricultural University
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PENERAPAN METODE FUZZY MAMDANI UNTUK MENENTUKAN TINGKAT KUALITAS AIR SUNGAI LINTAS PROVINSI DI PULAU JAWA Widyastiti, Maya
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Publisher : Fakultas Matematika dan ilmu pengetahuan Alam. Universitas Pakuan.

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Abstract

This research aims to determine of river water quality status in the province of Java, including Banten, DKI Jakarta, West Java, Central Java, Yogyakarta and East Java. The data used are secondary data obtained from the ministry of environment and forestry in 2015. In this research, Fuzzy Mamdani method will be used to give solution of river water quality status. Parameters measured and observed are the parameters of Total Suspended Solid (TSS), Dissolved Oxygen (DO), Biochemical Oxygen Demand (BOD), and Chemical Oxygen Demand (COD).Top of Form  Based on fuzzy mamdany , Status of river water quality status in DKI Jakarta and West Java have been heavily pollution. Banten province was in mild pollution to moderate pollution. Central Java was in light pollution to heavily pollution. DI Yogyakarta was in mild pollution, and East Java was in mild pollution to moderate pollution.Key words: Fuzzy Mamdani, river water pollution, water quality status
MEMINIMUMKAN JUMLAH KALORI DI DALAM TUBUH DENGAN MEMPERHITUNGKAN ASUPAN MAKANAN DAN AKTIVITAS MENGGUNAKAN LINEAR PROGRAMMING Dwi Asih, Lestari; Widyastiti, Maya
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Publisher : Fakultas Matematika dan ilmu pengetahuan Alam. Universitas Pakuan.

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Abstract

Calorie is defined as a unit used to measure power or energy value. The calories in a food depends on the content of carbohydrates, protein, and fat in the food itself. Excess calories can lead to obesity disease and another diseases. So, it is important to know the amount of the calories in the body. In this study, to determine the number of calories needed by the body based on age, gender, height, weight and type of daily activity. The amount of calories that will be consumed as much as needed by the body and perform the activity as much as possible at certain time intervals to minimize the amount of calories in the body by considering the constraints that exist with using linear programming.Key words : Integer Linear Programming, Optimization, diet, foods and activities
OPTIMALISASI PENJADWALAN PERAWAT SIKLIK MENGGUNAKAN INTEGER NON-LINEAR PROGRAMMING DI RUMAH SEHAT TERPADU DOMPET DHUAFA PARUNG, BOGOR Widyastiti, Maya; Asih, Lestari Dwi
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Publisher : Fakultas Matematika dan ilmu pengetahuan Alam. Universitas Pakuan.

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One of problems that frequently occursin hospital management is nurses scheduling problem. A suitable schedule is needed in order to avoid fatigue, both physically and psychologically, which subsequently may deteriorate their performance. Nurse scheduling is commonly designed by the head of nurse manually. In this research, a cyclical nurse scheduling problem is modeled in the form of an integer non-linear programming. The objective of the model is to minimize the number of nurses which works for 30 days. Then optimization problem is implemented to nurses scheduling in the Rumah Sehat Terpadu Dompet Dhuafa Parung Bogor. Key words  : Integer Non-Linear Programming, Optimasi, scheduling cycle 
PENERAPAN MULTIPLE TRAVELING SALESMAN PROBLEM PADA OPTIMASI PENDISTRIBUSIAN Widyastiti, Maya; Sumarsa, Amar; Permana, Alfina Yulia
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 16 No 1 (2024): 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.2024.16.1.10860

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ABSTRACT. Distribution is one of the important activities in sending goods from producers to consumers. This research was applied to PT. Kobe Boga Utama, Depok Branch. This company distributed products to 333 outlets in 2 weeks from Monday to Saturday. On certain days, the company visited more than one trip, requiring several salesmen. The distribution problem can be formed as a Multiple Traveling Salesman Problem and modeled as an Integer Linear Programming problem. This research aims to determine the optimal route with the shortest distance using the Branch and Bound method. The research results show that the salesman has to cover a minimum distance is 732.83 km in odd weeks with 149 outlets to visit. The number of trips taken is 7 trips, consisting of 1 trip on Monday, Thursday, and Friday, and 2 trips on Wednesday and Thursday. On even weeks, a salesman must visit 184 outlets with a minimum distance is 1292.3 km, consisting of 1 trip on Tuesday, Thursday, Friday, and Saturday, 2 trips on Wednesday, and 3 trips on Monday. The total minimum distance is 2025.09 km. The optimization result is about 359.97 km (49.12%) for odd weeks and 506.61 km (39.2%) for even weeks.Keywords:: Distribution, Muliple Traveling Salesman Problem, Branch and Bound Method ABSTRAK. Pendistribusian merupakan salah satu kegiatan penting dalam mengirimkan barang dari produsen ke konsumen. Penelitian ini diterapkan pada PT. Kobe Boga Utama Cabang Depok. Perusahaan ini mendistribusikan produk ke 333 outlet dalam 2 pekan dari hari Senin hingga Sabtu. Pada hari tertentu, perusahaan mengunjungi lebih dari satu trip sehingga membutuhkan beberapa salesman. Masalah pendistribusian dapat dibentuk sebagai Multiple Traveling Salesman Problem dan dimodelkan sebagai masalah Integer Linear Programming. Penelitian ini bertujuan untuk menentukan rute optimal dengan jarak tempuh terpendek menggunakan metode Branch and Bound. Hasil penelitian menunjukkan bahwa pada pekan ganjil, salesman harus menempuh jarak minimal sebesar 732.83 km dengan outlet yang harus dikunjungi sebanyak 149. Banyaknya trip yang dilalui sebanyak 7 trip, yang terdiri dari 1 trip pada hari Senin, Kamis, dan Jumat, serta 2 trip untuk hari Rabu dan Kamis. Pada pekan genap, salesman harus mengunjungi 184 outlet dengan total jarak minimum sebesar 1292.3 km, yang terdiri dari 1 trip pada hari Selasa, Kamis, Jumat, dan Sabtu, 2 trip untuk hari Rabu, dan 3 trip untuk hari Senin. Total jarak tempuh minimum sebesar 2025.09 km. Hasil optimal dari pekan ganjil sebesar 359.97 km (49.12%) dan untuk pekan genap sebesar 506.61 km (39.2%).Kata Kunci:: Distribusi, Integer Linear Programming, Metode Branch and Bound, Multiple Traveling Salesman Problem
Peningkatan Kompetensi Pembelajaran Matematika Melalui Rumus Cepat Integral Bagi Siswa Ma Al Falak Kamila, Isti; Widyastiti, Maya; Andriyati, Ani; Rohaeti, Embay
Jurnal Karya Abdi Masyarakat Vol. 4 No. 3 (2020): Jurnal Karya Abdi Masyarakat
Publisher : LPPM Universitas Jambi

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (304.419 KB) | DOI: 10.22437/jkam.v4i3.11582

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Madrasah Aliyah Al Falak adalah suatu lembaga pendidikan yang berada di Kota Bogor. Berdasarkan informasi dari guru matematika madrasah tersebut, permasalahan yang terjadi di madrasah ini adalah rata-rata nilai matematika siswa tergolong rendah yaitu 50 yang masih dibawah KKM yaitu 60. Hal ini menjadikan kami para tim pelaksana pengabdian untuk melakukan pelatihan rumus cepat integral sehingga dapat meningkatkan minat siswa untuk belajar integral dan meningkatkan kompetensi pembelajaran matematika khususnya pada materi integral. Sebelum dilakukan pelatihan rumus cepat integral, diberikan pretest untuk melihat kemampuan awal siswa dan diperoleh rata-rata pretest adalah 31. Selanjutnya dilakukan pelatihan rumus cepat integral dan diakhiri dengan pemberian posttest. Berdasarkan hasil posttest, diperoleh nilai rata-rata siswa meningkat menjadi 80.75 dan setelah dilakukan uji-t berpasangan diperoleh thitung = -87.179 < -ttabel = -0.209302 maka thitung terletak pada daerah H0 ditolak. Oleh karena itu, bisa disimpulkan ada perbedaan nilai antara sebelum dan sesudah pemberian pelatihan rumus cepat integral.
Comparison of Weights in Weighted Least Square Method For Handling Heteroscedasticity on Multiple Regression Model Virgantari, Fitria; Widyastiti, Maya; Ir Seno, Natalia
International Journal of Mathematics, Statistics, and Computing Vol. 2 No. 2 (2024): International Journal of Mathematics, Statistics, and Computing
Publisher : Communication In Research And Publications

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46336/ijmsc.v2i2.93

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Regression analysis is the most popular and commonly used to determine causality between two or more variables. In regression analysis there are several assumptions that must be held, so that the property of the best linear unbiased estimator (BLUE) is still guaranteed. In fact, we often found violations of the assumptions. One of them was violations of the homoscedasticity or occurs heteroscedasticity. The impact of heteroscedasticity in the regression model is that the ordinary least square (OLS) estimator no longer has a minimum variance although still linear and unbiased. To handle this, weighted least square (WLS) regression is used instead, which giving weights on the observations. But the problem often encountered is choosing which the best weight in WLS method. This paper aimed to compare and determine the best weight among 1/X, 1/ , 1/Y and 1/s in multiple regression model. Human development index factors data, which were obtained from the Indonesian Central Bureau of Statistics, were used. The results showed that the best weight on human development index data was 1/s. The coefficient of determination was 98.7% indicating that the model was very good.
Perbandingan Kinerja Multinomial Naïve Bayes Classifier dan Naïve Forecasting dalam Klasifikasi dan Peramalan Jumlah Opini Kenaikan Harga BBM Oktaviani, Nita; Rohaeti, Embay; Widyastiti, Maya; Andriyati, Ani
Jurnal Sains Matematika dan Statistika Vol 10, No 2 (2024): JSMS Juli 2024
Publisher : Universitas Islam Negeri Sultan Syarif Kasim Riau

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24014/jsms.v10i2.28309

Abstract

Data opini pengguna X terhadap topik kenaikan harga Bahan Bakar Minyak (BBM) memiliki nilai sentimen yang dapat menentukan kelas opini dominan sebagai gambaran penilaian dari sisi masyarakat pengguna X. Opini pengguna X akan diklasifikasi dalam tiga kelas yaitu kelas opini positif, negatif dan netral menggunakan model Multinomial Naïve Bayes Classifier (MNBC). Hasil klasifikasi yang diperoleh dilanjutkan pada tahapan peramalan jumlah opini dengan metode Naïve Forecasting (NF). Tujuan dari penelitian ini yaitu mengklasifikasikan opini dengan MNBC, meramalkan jumlah opini untuk jangka waktu satu minggu kedepan dengan NF, dan mengevaluasi hasil klasifikasi serta hasil peramalan. MNBC merupakan salah satu algoritma machine learning yang digunakan untuk klasifikasi teks. NF merupakan salah satu metode peramalan untuk data time series. Perhitungan pada penelitian ini dilakukan dengan penggunaan bantuan software R. Data yang digunakan berupa data sekunder sebanyak 2500 data. Periode pengambilan data selama satu minggu dimulai dari 20 Oktober 2022 hingga 27 Oktober 2022. Hasil dari pemodelan MNBC didapatkan tiga kelas yaitu sebanyak 775 dokumen diklasifikasikan sebagai opini negatif, 475 dokumen diklasifikasikan sebagai opini netral, dan 581 dokumen diklasifikasikan sebagai opini positif. Akurasi model MNBC dikategorikan sangat baik sebesar 92% untuk keseluruhan kelas. Hasil peramalan tiga kelas klasifikasi dengan NF yaitu jumlah opini kelas positif sebanyak 44 opini dengan nilai RMSE sebesar 8,96, jumlah opini kelas negatif sebanyak 25 opini dengan nilai RMSE sebesar 14,87, dan jumlah opini kelas netral sebanyak 21 opini dengan nilai RMSE sebesar 11,45. Hal ini menunjukkan Peramalan dengan NF dikategorikan cukup baik. Kata Kunci:  MNBC, NF, Opini, Klasifikasi, Peramalan.
Utilization of Geogebra Application as Learning Media in Learning The Three-Dimensional to Increase Students' Interest in Learning Widyastiti, Maya; Yanti, Yusma; Sumarsa, Amar; Durrotul Faizah, Layla
Hipotenusa: Journal of Mathematical Society Vol. 6 No. 1 (2024): Hipotenusa: Journal of Mathematical Society
Publisher : Program Studi Tadris Matematika Universitas Islam Negeri (UIN) Salatiga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18326/hipotenusa.v6i1.815

Abstract

This activity aims to describe students' interest in learning, learning outcomes, and the benefits of using GeoGebra in learning the three-dimensional. The data collected were analyzed using descriptive analysis. The research subjects were 59 students of SMA Negeri 1 Megamendung. Data collection techniques used tests and questionnaires. This research consists of 2 cycles. In cycle 1, the results obtained based on students' interest in learning showed that on average students strongly agreed 18.6%, agreed 31.1%, moderately 44.3%, and disagreed 5.9%. In cycle 2 after using the GeoGebra application, student interest increased to strongly agree 30.9%, agree 48.7%, moderately 18.6% and disagree 1.7%. Based on the learning outcomes in cycle 1, it shows 42.37% of students can solve problems well, while in cycle 2 there is an increase in the percentage of learning outcomes to 56.59%. Based on the results of the above analysis, it can be concluded that GeoGebra is very useful as a learning media and there is an increase in student interest and learning outcomes in learning the three-dimensional using GeoGebra.
Comparison of Missing Data Handling Methods and Forecasting of Broiler Egg Prices Using Autoregressive Integrated Moving Average : (Case Study: Bogor Regency/City) Dion, Shelly Selgiant; Rohaeti, Embay; Widyastiti, Maya
Jurnal Indonesia Sosial Sains Vol. 5 No. 12 (2024): Jurnal Indonesia Sosial Sains
Publisher : CV. Publikasi Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59141/jiss.v5i12.1540

Abstract

Fluctuations in the price of broiler eggs can have an impact on decreasing people's purchasing power, so a form of price control through forecasting is needed. The existence of missing data in broiler egg price data can interfere with the accuracy of forecasting results. This research is carried out in two stages. The first stage is handling missing data. Missing data handling is done by comparing two methods, namely the linear interpolation method and the simple moving average (SMA) method. The second stage is forecasting with the autoregressive integrated moving average (ARIMA) method. The objectives of this study are to handle missing data on the data of broiler egg prices with linear interpolation and SMA methods, evaluate the results of the comparison of missing data handling methods, forecast future broiler egg prices, and evaluate the results of forecasting. The data used is daily data on the price of broiler eggs in Bogor Regency / City in the period January 1, 2019, to December 31, 2023, as much as 1,826 data. The results of the comparison of missing data handling methods showed that the linear interpolation method is declared better with an accuracy value using MAPE of 0.005%. The results of forecasting the price of broiler eggs show that the forecasting results with the ARIMA (1,1,3) model follow the actual data pattern, with a MAPE accuracy value of 0.601%; it is stated that the forecasting performance has performed well.
Co-Authors Andriyati, Ani Asih, Lestari Dwi Dion, Shelly Selgiant Durrotul Faizah, Layla Dwi Asih, Lestari Embay Rohaeti Fitria Virgantari Ir Seno, Natalia Isti Kamila Oktaviani, Nita Permana, Alfina Yulia Sumarsa, Amar Yanti, Yusma