Matematika最新文献

{"title":"Model Peramalan Indeks Harga Konsumen Kota Palangka Raya Menggunakan Seasonal ARIMA (SARIMA)","authors":"Ananto Wibowo","doi":"10.29313/jmtm.v17i2.3981","DOIUrl":"https://doi.org/10.29313/jmtm.v17i2.3981","url":null,"abstract":"Forecasting Model for Consumer Price Index of Palangka Raya City using Seasonal ARIMA (SARIMA) Abstrak. Palangka Raya merupakan salah kota indikator perhitungan Indeks Harga Konsumen (IHK) di Provinsi Kalimantan Tengah. Secara tidak langsung, persentase perubahan IHK, senantiasa dijaga oleh pemerintah agar tetap rendah dan stabil untuk prasyarat pertumbuhan ekonomi berkesinambungan serta mampu memberikan manfaat bagi peningkatan kesejahteraan masyarakat. Oleh karena itu, peramalan data IHK perlu dilakukan untuk membantu pemerintah dalam menyusun suatu kebijakan. Salah satu metode statistik yang paling tepat untuk melakukan peramalan data IHK Kota Palangka Raya dengan menggunakan Seasonal Autoregressive Integrated Moving Average (SARIMA). Metode SARIMA sangat cocok untuk diterapkan pada data IHK karena terdapat pola musiman yang terjadi pada waktu tertentu. Data yang digunakan merupakan data sekunder bersumber dari Badan Pusat Statistik (BPS) Provinsi Kalimantan Tengah dengan series sebanyak 48 observasi. Berdasarkan hasil trial and error , model SARIMA pada saat , dan  dianggap sebagai model terbaik untuk peramalan data IHK dengan koefisien determinasi adjusted sebesar 84,67%. Selain itu, model peramalan memenuhi seluruh uji asumsi diagnostik dan sangat powerful mendekati data aktual. Kata kunci: SARIMA, Peramalan, IHK Abstract. Palangka Raya is one of the indicator city for Consumer Price Index (CPI) calculation in Central Kalimantan Province. The percentage of changes in CPI had always been indirectly maintained by government in order to remain low and stable as a preconditions for sustainable economic growth and to provide benefits for improving people's walfare. Therefore, the forecasting of CPI is required to assist the development of government's policy. One of the precise statistical method for forecasting Palangka Raya's CPI is Seasonal Autoregressive Integrated Moving Average (SARIMA). SARIMA is very suitable to be applied in Consumer Price Index's data because of seasonal patterns that occured in several times. The data used in this research are secondary data sourced from Statistics Indonesia of Central Kalimantan Office with 48 observations. Based on trial and error process, SARIMA when ,  is considered the best statistical model to forecast CPI data with an adjusted coefficent of determination 84.67%. This forecasting model also fulfilled all diagnostic assumptions' tests and powerfully approached the actual data. Keywords: SARIMA, Forcasting, CPI","PeriodicalId":43733,"journal":{"name":"Matematika","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42739174","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}

{"title":"Analisis Perbandingan Fungsi Kernel dalam Perhitungan Economic Capital untuk Risiko Operasional Menggunakan Bahasa Pemrograman Python","authors":"Erwan Setiawan, Ramdhan F Suwarman","doi":"10.29313/JMTM.V17I2.4112","DOIUrl":"https://doi.org/10.29313/JMTM.V17I2.4112","url":null,"abstract":"Abstrak . Pada penelitian yang dilakukan oleh Setiawan dkk, menyatakan bahwa metode loss distribution approach dengan pendekatan kernel density estimation mampu menghasilkan nilai economic capital yang lebih efisien sebesar 1,6% - 3,2% dibandingkan dengan pendekatan distribusi probabilitas tertentu. Fungsi kernel yang digunakan dalam penelitian tersebut adalah kernel Gaussian dengan pertimbangan dapat memberikan visual grafik yang lebih mulus dibandingkan visual grafik yang dihasilkan oleh fungsi kernel lainnya, seperti Uniform, Epanechnikov, dan Segitiga. Padahal tidak ada jaminan bahwa grafik yang lebih mulus dapat memberikan hasil economic capital yang lebih efisien. Oleh karena itu, akan dilakukan penelitian lebih lanjut yang bertujuan 1) menghitung nilai economic capital menggunakan loss distribution approach dengan pendekatan kernel density estimation yang menggunakan fungsi kernel Gaussian, Uniform, Epanechnikov, dan Segitiga, 2) membandingkan nilai-nilai economic capital yang dihasilkan dengan cara uji perbedaan rata-rata. Perhitungan nilai economic capital dilakukan melalui simulasi komputasi berbasis bahasa pemrograman python. Hasil penelitian menunjukkan bahwa terdapat perbedaan yang signifikan pada nilai economic capital yang dihasilkan. Oleh karena itu, pemilihan fungsi kernel yang tepat sangat diperlukan agar dapat memberikan nilai economic capital yang lebih efisien. Kata kunci: economic capital, kernel density estimation, dan fungsi kernel Abstract . In the research conducted by Setiawan, et al stated that loss distribution approach method with kernel density estimation approach can produce more efficient economic capital values of 1.6% - 3.2% compared to certain probability distribution approaches. The kernel function used in the research is the Gaussian kernel with the consideration that it can provide graphics that are smoother than visual graphics produced by other kernel functions, such as Uniform, Epanechnikov, and Triangle. Whereas there is no guarantee that a smoother graph can provide more efficient economic capital results. Therefore, further research will be carried out with the aim of 1) calculating the value of economic capital using a loss distribution approach with a kernel density estimation approach that uses Gaussian, Uniform, Epanechnikov, and Triangle kernel functions, 2) comparing the values of economic capital produced with average difference test method. Calculation of the value of economic capital is done through computational simulations based on the python programming language. The results showed that there were significant differences in the value of economic capital generated. Therefore, choosing the right kernel function is very necessary in order to provide more efficient economic capital values. Keyword: economic capital, kernel density estimation, dan kernel function","PeriodicalId":43733,"journal":{"name":"Matematika","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45051228","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}

{"title":"Optimalisasi Produksi Kopi Bubuk Asli Lampung Dengan Metode Simpleks","authors":"Ruchimat Haslan, Nanang Supriadi, Sri Purwanti Nasution","doi":"10.29313/JMTM.V17I2.3852","DOIUrl":"https://doi.org/10.29313/JMTM.V17I2.3852","url":null,"abstract":"The Optimization of Lampung Original Powder Coffee Production With The Simplex Method Abstrak . Tujuan penelitian ini adalah untuk mengoptimalkan produksi kopi bubuk dengan metode simpleks dan berbantu software Lindo dalam produksi kopi bubuk di Industri Rumahan Kopi Bubuk Asli Lampung. Metode simpleks adalah suatu metode yang digunakan untuk memecahkan masalah linear programming yang meliputi banyak pertidaksamaan dan banyak variabel dengan perhitungan berulang-ulang (iterasi) sampai mencapai solusi optimal. Penelitian ini adalah studi pustaka yang merupakan telaah dari literatur dengan mengkaji buku-buku, literatur-literatur, catatan-catatan, dan laporan-laporan yang berhubungan dengan masalah yang dipecahkan. Hasil dari penelitian ini menunjukkan bahwa setelah dilakukan perhitungan dengan metode simpleks dan berbantu software Lindo, jumlah produksi optimal yaitu 46 kemasan 1 dan 163 kemasan 2, sehingga diperoleh keuntungan produksi optimal sebesar Rp. 2.541.500 dengan ketersediaan bahan baku yang ada. Kata Kunci: Linear Programming, Metode Simpleks, Optimalisasi, Lindo 6.1 Abstract . The purpose of this research is to optimize the production of coffee powder with simplex method and Lindo software assisted in the production of coffee powder in Lampung Pure Coffee Industry Original Lampung. The simplex method is a method used to solve linear programming problems that include many inequalities and many variables with repeated calculations (iterations) until it reaches the optimal solution. This study is a literature study which is a study of the literature by reviewing books, literature, records, and reports relating to the problem solved. The result of this research shows that after calculation with simplex method and assisted software Lindo, optimum production amount that is 46 pack 1 and 163 pack 2, so that obtained optimal production profit equal to IDR 2.541.500 with the availability of existing raw materials. Keywords: Linear Programming, Simplex Method, Optimization, Lindo 6.1","PeriodicalId":43733,"journal":{"name":"Matematika","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44011328","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}

{"title":"Analisis Kemampuan Koneksi Matematis Siswa Menggunakan Pendekatan Pembelajaran CTL dan RME","authors":"Eneng Diana Putri Latipah, Ekasatya Aldila Afriansyah","doi":"10.29313/JMTM.V17I1.3691","DOIUrl":"https://doi.org/10.29313/JMTM.V17I1.3691","url":null,"abstract":"Abstrak. Penelitian ini dilatarbelakangi dari pentingnya kemampuan koneksi matematis terutama di tingkat sekolah menengah pertama. Tujuan penelitian ini adalah untuk mengetahui kemampuan koneksi matematis siswa yang mendapat pendekatan pembelajaran CTL dan pendekatan pembelajaran RME. Serta respon siswa terhadap kedua pendekatan tersebut. Metode penelitian yang digunakan adalah metode kuasi eksperimen dengan desain The Static group pretest - posttest design . Populasi penelitian ini yaitu siswa SMP 2 Cilawu. Sedangkan sampel penelitiannya adalah siswa kelas VII yaitu kelas VII-D sebagai kelas eksperimen 1 sebanyak 31 siswa, dan kelas VII-A sebagai kelas eksperimen 2 sebanyak 30 siswa. Dari hasil penelitian menunjukkan bahwa kemampuan koneksi matematis siswa yang mendapat pendekatan CTL dengan siswa yang mendapat pendekatan pembelajaran RME sama baiknya. Kualitas peningkatan kedua pendekatan tersebut berinterpretasi sedang, dan sebagian besar siswa memiliki interpretasi sikap baik terhadap pembelajaran Matematika dengan menggunakan pendekatan CTL dan sebagian besar siswa memiliki interpretasi sikap cukup baik terhadap pembelajaran Matematika dengan menggunakan pendekatan RME. Kata kunci : Pendekatan CTL, Pendekatan RME, Kemampuan Koneksi Matematis, The Static Group Pretest - Posttest Design Abstract. ( The analysis of students' mathematical connection skills using CTL and RME approaches ) This research has background with the important of the mathematics connection ability especially in junior high school. The aim of this research is to know the mathematics connection ability that has got approach CTL and RME. As well as response the students with two learn approaches. The method of this research used Quasi-experimental method with the static group pretest-posttest design. Population of this research is the students of SMPN 2 CILAWU. Whereas the sample of the research is the students class of VII-D as experiment class 1 as many as 31 students and Students class of VII-A as experiment class 2 as many as 30 students. As the result from this research, showed that the students mathematics connection ability who got CTL same good result with the students who got RME. The two approach enhancement has Intermediate interpretation quality, and a lot of the students have a god attitude interpretation with mathematic learning with CTL approach and a lot of the students have well enough attitude interpretation with mathematic learning. Keywords : CTL Approach, RME Approach, Mathematics Connection Ability, The Static Group Pretest-Posttest Design","PeriodicalId":43733,"journal":{"name":"Matematika","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48619076","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}

{"title":"Pengendalian Jumlah Persediaan Bahan Baku Kerudung Pada RAR Azkia Padalarang","authors":"F. Badruzzaman, E. Harahap","doi":"10.29313/JMTM.V17I1.4559","DOIUrl":"https://doi.org/10.29313/JMTM.V17I1.4559","url":null,"abstract":"Abstrak. Penelitian dilakukan di RAR Azkia Padalarang Bandung Barat dengan tujuan untuk mengetahui kuantitas optimal bahan baku dalam setiap kali pembelian/pemesanan (EOQ). Data dikumpulkan dengan metode wawancara, dianalisis dengan teknik analisis deskriptif dengan pendekatan kuantitatif. Jumlah pemesanan dalam satu tahun (2015) adalah sebanyak 115.000 Kg dengan rata-rata per bulan adalah 9583,33 kg dibulatkan 9583 kg. Hasil penelitian menunjukkan bahwa jumlah optimal pemesanan atau pembelian bahan baku untuk satu kali pesan adalah 8522,579 kg dibulatkan 8523 kg. Frekuensi pembeliannya adalah 14 kali, daur pemesanannya adalah 26-27 hari, dan terdapat selisih jumlah pemesanan 1060 kg per tahun.Kata kunci: economic order quantity, rar azkia, pembelian, pemesananAbstract. The study was conducted at RAR Azkia Padalarang, West Bandung with the aim to determine the optimal quantity of raw materials in each purchase/order (EOQ). Data were collected by interview method, analyzed by descriptive analysis techniques with quantitative approaches. The number of orders in one year (2015) is 115,000 kg with an average per month of 9583.33 kg rounded 9583 kg. The results showed that the optimal number of orders or purchases of raw materials for one order was 8522,579 kg rounded 8523 kg. The frequency of purchases is 14 times, the order cycle is 26-27 days, and there is a difference in the number of orders of 1060 kg per year.Keywords: economic order quantity, rar azkia, purchase, order","PeriodicalId":43733,"journal":{"name":"Matematika","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48873856","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}

{"title":"Membangun Kemampuan Komunikasi Matematis Siswa Melalui Lesson Study: Sebuah Perspektif","authors":"Didi Suhaedi, E. Harahap","doi":"10.29313/jmtm.v17i1.4564","DOIUrl":"https://doi.org/10.29313/jmtm.v17i1.4564","url":null,"abstract":"Abstrak. Komunikasi matematis, sebagai bagian dari daya matematis, merupakan suatu kemampuan yang mesti dipelajari dan dikuasai oleh siswa dalam mempelajari materi-materi Matematika. Tumbuh kembangnya komunikasi matematis siswa sangat dipengaruhi oleh partisipasi aktif siswa secara kolaboratif dalam proses pembelajaran Matematika. Lesson study sebagai pembelajaran yang berorientasi pada siswa (student center) memberikan ruang yang cukup bagi siswa untuk mengembangkan kemampuan komunikasi matematisnya. Diskusi kelompok dan kelas dapat menjadi wahana bagi siswa untuk melakukan peer colaboration dalam mengembangkan kemampuan komunikasi matematis siswa dan menguasai materi Matematika. Artikel ini mendiskusikan tentang konstruksi kemampuan komunikasi matematis siswa melalui lesson study.Kata kunci: komunikasi matematis, lesson study Building Student’s Mathematical Communication Ability Through Lesson Study: A PerspectiveAbstract. Mathematical communication, as part of mathematical power, is an ability that must be learned and mastered by students in learning Mathematics materials. The growth of mathematical communication of students is strongly influenced by the active participation of students collaboratively in the process of learning Mathematics. Lesson study as student-oriented learning (student center) provides sufficient space for students to develop mathematical communication ability. Group and class discussions can be a vehicle for students to do peer collaboration in developing students' mathematical communication ability and mastering Mathematical material. This article discusses the construction of students' mathematical communication ability through lesson study.Keywords: mathematical communication, lesson study","PeriodicalId":43733,"journal":{"name":"Matematika","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46060157","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}

{"title":"On Estimates for the Generalized Fourier-Dunkl Transform in the Space L2","authors":"R. Daher, S. Ouadih","doi":"10.11113/MATEMATIKA.V34.N1.788","DOIUrl":"https://doi.org/10.11113/MATEMATIKA.V34.N1.788","url":null,"abstract":"Two useful estimates are proved for the generalized Fourier-Dunkltransform in the space L2 on certain classes of functions characterized by thegeneralized continuity modulus.","PeriodicalId":43733,"journal":{"name":"Matematika","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42054938","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}

{"title":"Subbalancing Numbers","authors":"R. K. Davala, G. Panda","doi":"10.11113/matematika.v34.n1.829","DOIUrl":"https://doi.org/10.11113/matematika.v34.n1.829","url":null,"abstract":"A natural number $n$ is called balancing number (with balancer $r$)if it satisfies the Diophantine equation $1+2+cdots+(n-1)=(n+1)+(n+2)+cdots+(n+r).$ However, if for some pair of natural numbers $(n,r)$, $1+2+cdots+(n-1) < (n+1)+(n+2)+cdots+(n+r)$ and equality is achieved after adding a natural number $D$ to the left hand side then we call $n$ a $D$-subbalancing number with $D$-subbalaner number $r$. In this paper, such numbers are studied for certain values of $D$.","PeriodicalId":43733,"journal":{"name":"Matematika","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44558811","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}

{"title":"MHD Flow and Heat Transfer in a Moving Conducting Inclined Channel","authors":"M. Ayano","doi":"10.11113/MATEMATIKA.V34.N1.841","DOIUrl":"https://doi.org/10.11113/MATEMATIKA.V34.N1.841","url":null,"abstract":"The problem of unsteady laminar, incompressible, electrically conducting micropolar fluid between inclined channel of rectangular cross-section was studied. It is assumed the flow is under the influence of transverse magnetic field and   the walls of the channel have constant temperatures and finite conductivity. The numerical solutions was obtained for the velocity, magnetic field profile, microrotation and temperature fields for various parametric conditions. These results are illustrated graphically to illustrate the effects of the physical parameters governing the flow. It is found that velocity, magnetic field profile and microrotations promote the motion of the fluid with increase the with wall conductance. It is also found that both velocity and magnetic field decreases with magnetic parameter increases.","PeriodicalId":43733,"journal":{"name":"Matematika","volume":"48 9","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41275910","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}

{"title":"Generalisations of DNA Splicing Systems with One Palindromic Restriction Enzyme","authors":"Fong Wan Heng, Nurul Izzaty Ismail","doi":"10.11113/MATEMATIKA.V34.N1.1011","DOIUrl":"https://doi.org/10.11113/MATEMATIKA.V34.N1.1011","url":null,"abstract":"In DNA splicing system, the potential effect of sets of restriction enzymes and a ligase that allow DNA molecules to be cleaved and re-associated to produce further molecules is modelled mathematically.  This modelling is done in the framework of formal language theory, in which the nitrogen bases, nucleotides and restriction sites are modelled as alphabets, strings and rules respectively.  The molecules resulting from a splicing system is depicted as the splicing language.  In this research, the splicing language resulting from DNA splicing systems with one palindromic restriction enzyme for one and two (non-overlapping) cutting sites are generalised as regular expressions.","PeriodicalId":43733,"journal":{"name":"Matematika","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49392951","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}