Jurnal MSA ( Matematika dan Statistika serta Aplikasinya )最新文献

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Analisis Prinsip Ketiga Littlewood dalam Teori Fungsi Variabel Ril 分析利特尔伍德理论变量功能的第三个原则
Jurnal MSA ( Matematika dan Statistika serta Aplikasinya ) Pub Date : 2020-12-23 DOI: 10.24252/MSA.V8I2.14346
Wahidah Alwi, Ishak Ishak
{"title":"Analisis Prinsip Ketiga Littlewood dalam Teori Fungsi Variabel Ril","authors":"Wahidah Alwi, Ishak Ishak","doi":"10.24252/MSA.V8I2.14346","DOIUrl":"https://doi.org/10.24252/MSA.V8I2.14346","url":null,"abstract":"Penelitian ini membahas tentang prinsip ketiga dari tiga prinsip littlewood dalam teori fungsi variabel real yaitu hampir setiap barisan fungsi terukur yang konvergen adalah konvergen seragam. Penelitian ini bertujuan menganalisis prinsip tersebut dengan mengkaji kekonvergenan barisan fungsi terukur. pembahasan dalam tulisan ini berisi kekonntinuan dalam fungsi terukur dan kekonvergenan barisan fungsi terukur serta kaitannya dengan kekonvergenan seragam. Lebih jauh dalam tulisan ini akan ditunjukkan suatu sifat yang menyatakan terdapatnya kekonvergenan seragam dalam barisan fungsi terukur konvergen.","PeriodicalId":429664,"journal":{"name":"Jurnal MSA ( Matematika dan Statistika serta Aplikasinya )","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114420553","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Model Time Series untuk Prediksi Jumlah Kasus Infeksi Coronavirus (Covid-19) di Sulawesi Selatan 时间系列预测苏拉威西南部Coronavirus (Covid-19)感染病例的数量
Jurnal MSA ( Matematika dan Statistika serta Aplikasinya ) Pub Date : 2020-12-23 DOI: 10.24252/MSA.V8I2.17427
Asrirawan Asrirawan, Andi Seppewali, Nurul Fitriyani
{"title":"Model Time Series untuk Prediksi Jumlah Kasus Infeksi Coronavirus (Covid-19) di Sulawesi Selatan","authors":"Asrirawan Asrirawan, Andi Seppewali, Nurul Fitriyani","doi":"10.24252/MSA.V8I2.17427","DOIUrl":"https://doi.org/10.24252/MSA.V8I2.17427","url":null,"abstract":"Since it was declared a pandemic outbreak, the COVID 19 virus has become one of the main focuses of countries in the world in efforts to prevent the spread of the virus, including Indonesia. The areas of greatest severity in Indonesia include Jakarta, East Java, West Java and South Sulawesi. South Sulawesi Province is recorded as the largest area exposed to the COVID 19 pandemic outside Java Island. Predicting the number of COVID 19 cases is an alternative in preventing the spread through making government policies based on predictive data. This article presents a predictive model for the number of COVID 19 cases based on the ARIMA, Holt Winters and Nonlinear Autoregressive Neural Network (NAR-NN) Model. The results of the analysis show that the ARIMA Model (1,1,1) has a better level of prediction accuracy than the HW and NAR-NN models based on the MAPE criteria. Meanwhile, for the RMSE, MAE and MPE criteria, the NAR-NN model is better than others.","PeriodicalId":429664,"journal":{"name":"Jurnal MSA ( Matematika dan Statistika serta Aplikasinya )","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129243645","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
KLASIFIKASI USAHA INDUSTRI DI KABUPATEN LUWU UTARA BERDASARKAN INDIKATOR INDUSTRI KECIL DAN INDUSTRI MENENGAH MENGGUNAKAN METODE AVERAGE LINKAGE CLUSTERING
Jurnal MSA ( Matematika dan Statistika serta Aplikasinya ) Pub Date : 2020-12-23 DOI: 10.24252/MSA.V8I2.16301
Riani Sinta Dewi, Risnawati Ibnas, M. I. Nawawi
{"title":"KLASIFIKASI USAHA INDUSTRI DI KABUPATEN LUWU UTARA BERDASARKAN INDIKATOR INDUSTRI KECIL DAN INDUSTRI MENENGAH MENGGUNAKAN METODE AVERAGE LINKAGE CLUSTERING","authors":"Riani Sinta Dewi, Risnawati Ibnas, M. I. Nawawi","doi":"10.24252/MSA.V8I2.16301","DOIUrl":"https://doi.org/10.24252/MSA.V8I2.16301","url":null,"abstract":"Penelitian ini membahas tentang klasifikasi usaha industri kecil dan industri menengah di Kabupaten Luwu Utara menggunakan metode Average Linkage Clustering. Metode Average Linkage Clustering dianggap lebih stabil, dimana nilai rasio simpangan baku yang dihasilkan lebih kecil dibandingkan dengan metode-metode Cluster Hierarky lainnya. Kabupaten Luwu Utara merupakan suatu daerah dengan pertumbuhan ekonomi yang terus meningkat setiap tahunnya dan terdiri dari 48 bidang usaha industri yang berbeda-beda. Adapun penelitian ini bertujuan untuk mengklasifikasikan usaha industri di kabupaten Luwu Utara berdasarkan indikator industri kecil dan industri menengah menggunakan metode Average Linkage Clustering. Hasil penelitian diperoleh, dari pengklasifikasian 48 usaha industri di kabupaten Luwu Utara yang dibentuk dalam dua cluster, yaitu cluster A merupakan cluster industri kecil yang terdiri dari 43 usaha industri dan cluster B merupakan cluster industri menengah yang terdiri dari 5 usaha industri. Kata Kunci: Usaha Industri, Average Linkage Clustering","PeriodicalId":429664,"journal":{"name":"Jurnal MSA ( Matematika dan Statistika serta Aplikasinya )","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129355669","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
AGRICULTURAL STATISTICS: USING MULTIPLE MODES OF FOOD CROPS DATA COLLECTION IN INDONESIA DURING THE COVID-19 PANDEMIC 农业统计:在2019冠状病毒病大流行期间,印度尼西亚使用多种粮食作物数据收集模式
Jurnal MSA ( Matematika dan Statistika serta Aplikasinya ) Pub Date : 2020-12-23 DOI: 10.24252/MSA.V8I2.16106
Ratna Rizki Amalia
{"title":"AGRICULTURAL STATISTICS: USING MULTIPLE MODES OF FOOD CROPS DATA COLLECTION IN INDONESIA DURING THE COVID-19 PANDEMIC","authors":"Ratna Rizki Amalia","doi":"10.24252/MSA.V8I2.16106","DOIUrl":"https://doi.org/10.24252/MSA.V8I2.16106","url":null,"abstract":"Government policy to limit the spread of COVID-19, such as lockdowns and social distancing, poses critical challenges to food crops data collection. The spread of COVID-19 has led to new challenges in collecting food crops data, which were previously collected using a conventional method, namely through measurements and direct interviews with respondents. To address this challenge, BPS-Statistics Indonesia finds alternatives to surveying by implemented multiple data collection modes, namely direct observation and measurement, physically distanced face-to-face interviews, and phone interviews. One of the most challenging aspects of implementing this combined method is the implementation of field activities. This issue arises due to an insufficient database of agricultural households' phone numbers and a questionnaire format that is complex enough to be used in this new method. This paper provides a comprehensive look at the technicalities that are implemented regarding this breakthrough. This paper's discussion focuses on the business process of data collection and strategic ways to overcome the challenges faced in implementing the method.","PeriodicalId":429664,"journal":{"name":"Jurnal MSA ( Matematika dan Statistika serta Aplikasinya )","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129724583","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Distribusi Variabel Random Gabungan Waktu Hidup Masa Mendatang (Joint Distribution of Future Lifetime Random Variable) 随机分布变量随机未来寿命随机变量联合分布
Jurnal MSA ( Matematika dan Statistika serta Aplikasinya ) Pub Date : 2020-12-23 DOI: 10.24252/MSA.V8I2.16190
Sri Dewi Anugrawati
{"title":"Distribusi Variabel Random Gabungan Waktu Hidup Masa Mendatang (Joint Distribution of Future Lifetime Random Variable)","authors":"Sri Dewi Anugrawati","doi":"10.24252/MSA.V8I2.16190","DOIUrl":"https://doi.org/10.24252/MSA.V8I2.16190","url":null,"abstract":"Variabel random waktu hidup masa mendatang memegang peranan penting dalam pemodelan aktuaria khususnya terkait dengan asuransi jiwa. Variabel random ini dapat digunakan mengitung peluang hidup, mati, laju kematian dan nilai harapan hidup seseorang. Aplikasi teori peluang dan asumsi saling bebas pada variabel ini dapat memudahkan kita dalam menghitung peluang survivalnya meskipun asumsi dependen juga telah banyak digunakan namun dengan metode berbeda seperti copula. Model jiwa tunggal dalam untuk variabel random waktu hidup masa mendatang yang sering juga disebut waktu sampai kematian ( time until failure ) ini dapat diperluas untuk n jiwa dengan menggunakan asumsi saling bebas.","PeriodicalId":429664,"journal":{"name":"Jurnal MSA ( Matematika dan Statistika serta Aplikasinya )","volume":"207 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114924394","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Aplikasi Simulasi Monte Carlo Dengan Teknik Antithetic Variates Dalam Menentukan Harga Opsi Cash-or-nothing Call 带有反病毒变异技术的蒙特卡洛模拟应用程序,用于指定不给糖就捣蛋选项的价格
Jurnal MSA ( Matematika dan Statistika serta Aplikasinya ) Pub Date : 2020-07-06 DOI: 10.24252/msa.v8i1.12866
Ilham Syata
{"title":"Aplikasi Simulasi Monte Carlo Dengan Teknik Antithetic Variates Dalam Menentukan Harga Opsi Cash-or-nothing Call","authors":"Ilham Syata","doi":"10.24252/msa.v8i1.12866","DOIUrl":"https://doi.org/10.24252/msa.v8i1.12866","url":null,"abstract":"Monte Carlo method is the basis of all algorithms of the simulation method based on solving a problem to get better results by giving as many numbers of random numbers that generated and spread to normal standards. Antithetic variates method is one of the variance reduction methods to improve efficiency in Monte Carlo simulations. The problem of this research is how much the price of price of the European cash-or-nothing call option using Monte Carlo simulation with antithetic variates technique, and to check the accuracy of the results of the method calculated relative error, the smaller the relative error is, the more accurate the results obtained from the numerical method. By using the stock price data from the computed NASDAQ Composite with initial stock price (S0) of $ 8475.31, strike price (K) of $ 8470, maturity (T) which is 1 year, interest free rate (r) is 2.25%, and volatility (σ) is 0.1935467, a number of simulations (N) of 10.000.000, thus the price of NASDAQ European cash-or-nothing call option NASDAQ Composite stock uses Monte Carlo method with an antithetic variates technique of $ 0.497710 with an error of 0.000051. From several simulation experiments starting from 1.000, 10.000, 100.000, 1.000,000, and 10.000.000, it shows that the more simulations carried out, the more converging the results obtained to the analytical solution, the Black-Scholes Model is $ 0.497735","PeriodicalId":429664,"journal":{"name":"Jurnal MSA ( Matematika dan Statistika serta Aplikasinya )","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122209693","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
METODE KONJUGAT GRADIEN HIBRID BARU: METODE HS-CD UNTUK MENYELESAIKAN MASALAH OPTIMASI TAK BERKENDALA 新的杂交变焦方法:hcd解决不受约束优化问题的方法
Jurnal MSA ( Matematika dan Statistika serta Aplikasinya ) Pub Date : 2020-07-06 DOI: 10.24252/msa.v8i1.12294
T. Saputra
{"title":"METODE KONJUGAT GRADIEN HIBRID BARU: METODE HS-CD UNTUK MENYELESAIKAN MASALAH OPTIMASI TAK BERKENDALA","authors":"T. Saputra","doi":"10.24252/msa.v8i1.12294","DOIUrl":"https://doi.org/10.24252/msa.v8i1.12294","url":null,"abstract":"Metode konjugat gradien adalah salah satu metode yang efektif dalam menyelesaikan permasalahan optimasi tak-berkendala dan metode ini juga termasuk salah satu metode iteratif. Pada tulisan ini, peneliti mengusulkan metode konjugat gradien hibrid baru yaitu metode new hybrid 4 yang merupakan gabungan antara metode Hestenes dan Stiefel – Conjugate Descent , dimana metode tersebut diusulkan berdasarkan ide dari metode yang telah diusulkan sebelumnya yaitu metode Polak, Ribiѐre dan Polyak - Fletcher dan Reeves atau metode NH1, metode Hestenes dan Stiefel – Dai dan Yuan atau metode NH2 dan metode Liu dan Storey – Conjugate Descent (NH3). Peneliti mengusulkan metode tersebut dengan menggabungkan antara metode HS dan CD, dimana metode tersebut memiliki kekurangan masing-masing. Dalam penelitian ini, peneliti membandingkan hasil numerik antara metode baru yaitu Metode HS-CD (NH4) dengan metode-metode sebelumnya serta membuktikan bahwa memenuhi sifat konvergen global dan memenuhi kondisi descent setiap iterasinya. Hasil numerik menunjukkan bahwa metode baru adalah sangat efisien dalam menyelesaikan fungsi nonlinear tak-berkendala. Metode tersebut juga terbukti memenuhi sifat konvergen global menggunakan kondisi Wolfe serta memenuhi kondisi de scent di setiap iterasinya.","PeriodicalId":429664,"journal":{"name":"Jurnal MSA ( Matematika dan Statistika serta Aplikasinya )","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122363126","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Peramalan Indeks Harga Konsumen (IHK) di Sulawesi Selatan dengan Menggunakan Metode Singular Spektrum Analysis (SSA) 南苏拉威西的消费者价格指数(IHK)使用单频谱分析(SSA)方法进行比较
Jurnal MSA ( Matematika dan Statistika serta Aplikasinya ) Pub Date : 2020-06-17 DOI: 10.24252/MSA.V8I1.17441
S. Satriani
{"title":"Peramalan Indeks Harga Konsumen (IHK) di Sulawesi Selatan dengan Menggunakan Metode Singular Spektrum Analysis (SSA)","authors":"S. Satriani","doi":"10.24252/MSA.V8I1.17441","DOIUrl":"https://doi.org/10.24252/MSA.V8I1.17441","url":null,"abstract":"Penelitian ini membahas tentang peramalan Indeks Harga Konsumen (IHK) di Sulawesi Selatan. IHK digunakan sebagai indikator untuk mengukur tingkat inflasi dan deflasi dari sekelompok barang dan jasa secara umum Peramalan IHK menjadi penting karena sebagai deteksi dini dalam menghadapi lonjakan harga. Penelitian ini menggunakan metode Singular Spectrum Analysis (SSA). SSA merupakan teknik analisis deret waktu nonparametrik. Tujuan dari penelitian ini adalah mengetahui hasil peramalan Indeks Harga Konsumen (IHK) di Sulawesi Selatan bulan Januari sampai Desember Tahun 2020. Dari hasil penelitian ini menunjukkan angka IHK tertinggi terjadi pada bulan Desember 2020 sebesar 146,88 dan terendah pada bulan Januari 2020 dengan angka IHK sebesar 141,92. Tingkat akurasi peramalan yang dihasilkan diukur dengan kriteria Mean Absolute Percentage Error (MAPE) sebesar 1,32%. Kata kunci: Indeks Harga Konsumen (IHK), Singular Spectrum Analysis, Mean Absolute Percentage Error.","PeriodicalId":429664,"journal":{"name":"Jurnal MSA ( Matematika dan Statistika serta Aplikasinya )","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127292714","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
PENENTUAN HARGA OPSI MENGGUNAKAN SIMULASI MONTE CARLO DENGAN TEKNIK MOMENT MATCHING 选择价格选择使用蒙特卡洛模拟与时刻匹配技术
Jurnal MSA ( Matematika dan Statistika serta Aplikasinya ) Pub Date : 2019-08-14 DOI: 10.24252/MSA.V7I1.7820
Ilham Syata, S. Halim
{"title":"PENENTUAN HARGA OPSI MENGGUNAKAN SIMULASI MONTE CARLO DENGAN TEKNIK MOMENT MATCHING","authors":"Ilham Syata, S. Halim","doi":"10.24252/MSA.V7I1.7820","DOIUrl":"https://doi.org/10.24252/MSA.V7I1.7820","url":null,"abstract":"Metode moment matching merupakan salah satu metode reduksi variansi untuk meningkatkan efesiensi dalam simulasi Monte Carlo. Adapun permasalahan yang akan dibahas dalam penelitian ini yaitu seberapa besar harga opsi call dan put tipe Eropa menggunakan simulasi Monte Carlo dengan teknik moment matching. Dengan menggunakan data harga saham dari NASDAQ Composite hasil perhitungan dengan harga saham awal sebesar , strike price  sebesar , waktu jatuh tempo  yaitu 1 tahun, tingkat bunga  yaitu , dan volatilitas  maka harga opsi call dan put tipe Eropa dengan saham NASDAQ Composite menggunakan simulasi Monte Carlo dengan teknik moment matching sebesar $704.289 dan $529.001.","PeriodicalId":429664,"journal":{"name":"Jurnal MSA ( Matematika dan Statistika serta Aplikasinya )","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130777498","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
PENERAPAN METODE MODIFIED DISTRIBUTION (MODI) DALAM MEMINIMALISASI BIAYA TRANSPORTASI PENGIRIMAN BARANG DI PT. TIRTA MAKMUR PERKASA 采用改良的分散法,以减少PT. TIRTA商品交付的成本
Jurnal MSA ( Matematika dan Statistika serta Aplikasinya ) Pub Date : 2019-08-14 DOI: 10.24252/MSA.V7I1.7501
Risnawati Ibnas, Wahidah Alwi, A. Taufiq
{"title":"PENERAPAN METODE MODIFIED DISTRIBUTION (MODI) DALAM MEMINIMALISASI BIAYA TRANSPORTASI PENGIRIMAN BARANG DI PT. TIRTA MAKMUR PERKASA","authors":"Risnawati Ibnas, Wahidah Alwi, A. Taufiq","doi":"10.24252/MSA.V7I1.7501","DOIUrl":"https://doi.org/10.24252/MSA.V7I1.7501","url":null,"abstract":"Distribusi dapat diartikan sebagai proses penyaluran barang atau jasa dari produsen ke konsumen. Untuk menyalurkan barang suatu perusahaan, maka diperlukan alat transportasi dan biaya distribusi untuk mengirim barang tersebut dengan menggunakan alat transportasi. Dalam suatu masalah transportasi, misalnya pada PT. Tirta Makmur Perkasa dapat dibentuk menjadi suatu model transportasi. Model transportasi dapat diselesaikan dengan 2 tahap yaitu solusi awal dengan Vogel’s Approximation Method (VAM) dan solusi akhir dengan metode Modified Distribution (MODI). Penelitian ini bertujuan untuk mendapatkan biaya transportasi PT. Tirta Makmur Perkasa. Hasil penelitian menunjukkan bahwa biaya transportasi minimum pada PT. Tirta Makmur Perkasa pada bulan Sepetember sampai Desember 2016 dengan menggunakan metode Vogel’s Approximation Method sebagai solusi awal dan Metode Modified distribution (MODI) diperoleh nilai sebesar  Rp 72.697.634,4","PeriodicalId":429664,"journal":{"name":"Jurnal MSA ( Matematika dan Statistika serta Aplikasinya )","volume":"719 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116129042","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
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