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d'Cartesian: Jurnal Matematika dan Aplikasi
Published by Universitas Sam Ratulangi
ISSN : 23024224     EISSN : 26851083     DOI : https://doi.org/10.35799/
Core Subject : Education,
Mathematics
This journal provides a forum for researchers, academics, professions, to publish research articles or review results. Topics of articles published in this journal include: 1. Applied Mathematics 2. Analysis 3. Statistics 4. Mathematical Modelling 6. Information System 7. Computational Science
Arjuna Subject : Matematika - Matematika Terapan
Articles 15 Documents
 1   2 
Search results for , issue "Vol. 8 No. 2 (2019): September 2019" : 15 Documents clear
Analisis Rantai Markov Terhadap Pola Perpindahan Konsumen Pasar Swalayan di Kota Manado dengan Penilaian Pasar Swalayan menggunakan Metode Simple Additive Weight (SAW) Riri A. Suratinoyo; Fernando D. Pongoh; Yohanes A.R. Langi
d\'Cartesian: Jurnal Matematika dan Aplikasi Vol. 8 No. 2 (2019): September 2019
Publisher : Sam Ratulangi University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35799/dc.8.2.2019.23920

Abstract

Perpindahan konsumen pasar swalayan sangat berpengaruh di dunia industri. Konsumen memiliki peran penting bagi industri tersebut, sehingga sangat penting untuk mengetahui pola perpindahan konsumen, mengacu pada beberapa penelitian sebelumnya, untuk mengetahui pola perpindahan konsumen harus menggunakan Analisis Rantai Markov. Rantai Markov sendiri memiliki sifat bahwa kejadian di masa lalu tidak mempengaruhi kejadian di masa yang akan datang apabila kejadian saat ini diketahui. Setelah mengetahui pola perpindahan konsumen, langkah selanjutnya adalah melakukan penilaian pasar swalayan menggunakan metode Simple Additive Weight yang lebih dikenal dengan metode penjumlahan terbobot. Kedua metode ini sangat baik dalam penelitian ini, dengan  menggunakan analisis Rantai Markov didapati bahwa Golden merupakan pasar swalayan paling diminati oleh konsumen karena memiliki paling banyak konsumen yang berbelanja dalam kurun waktu lama. Sedangkan menggunakan metode Simple Additive Weight didapati bahwa Freshmart merupakan pasar swalayan terbaik karena memenuhi 6 kriteria yang telah di tentukan yakni Harga, Kelengkapan Kebutuhan, Promosi, Lokasi, Kenyamanan Tempat dan Pelayanan Karyawan.
Region Coloring in Minahasa Regency Using Sequential Color Algorithm Yevie Ingamita; Nelson Nainggolan; Benny Pinontoan
d\'Cartesian: Jurnal Matematika dan Aplikasi Vol. 8 No. 2 (2019): September 2019
Publisher : Sam Ratulangi University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35799/dc.8.2.2019.23956

Abstract

Graph Theory is one of the mathematical sciences whose application is very wide in human life. One of theory graph application is Map Coloring. This research discusses how to color the map of Minahasa Regency by using the minimum color that possible. The algorithm used to determine the minimum color in coloring the region of Minahasa Regency that is Sequential Color Algorithm. The Sequential Color Algorithm is an algorithm used in coloring a graph with k-color, where k is a positive integer. Based on the results of this research was found that the Sequential Color Algorithm can be used to color the map of Minahasa Regency with the minimum number of colors or chromatic number χ(G) obtained in the coloring of 25 sub-districts on the map of Minahasa Regency are 3 colors (χ(G) = 3).
Black-Scholes Model in Determining European Option Prices on Netflix,Inc. Desty A. Tambingon; Jullia Titaley; Tohap Manurung
d\'Cartesian: Jurnal Matematika dan Aplikasi Vol. 8 No. 2 (2019): September 2019
Publisher : Sam Ratulangi University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35799/dc.8.2.2019.23960

Abstract

Research has been conducted to compare the prices of European option on the Yahoo Finance website with prices obtained from the Black-Scholes model (theoretical price). Data was taken on January 31, 2019 which included the daily share price of Netflix, Inc. (NFLX) on February 14, 2018 - January 31, 2019 to obtain volatility, and NFLX options data due on January 17, 2020. Options with prices lower than theoretical prices are said to be underpriced, so the decision taken is to buy the options. Whereas options with prices higher than theoretical prices are said to be overpriced, so it has to be reconsidered. The proportion of the underpriced call options for the total number of call options is 77.7778%, while the proportion of the underpriced put options for the total number of put options is 38.5714%.
Analisis Gerombol Untuk Pengelompokkan Kabupaten/Kota di Sulawesi Utara Berdasarkan Produksi Hortikultura Eva Damayanti; Jantje D. Prang; Charles E. Mongi
d\'Cartesian: Jurnal Matematika dan Aplikasi Vol. 8 No. 2 (2019): September 2019
Publisher : Sam Ratulangi University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35799/dc.8.2.2019.23962

Abstract

Pertanian adalah suatu kegiatan manusia yang termasuk di dalamnya yaitu bercocok tanam, peternakan, perikanan dan juga kehutanan. Produksi pertanian sangatlah penting dalam kehidupan sehari-hari. Dalam penelitian ini menggunakan Analisis Gerombol yang merupakan teknik peubah ganda yang mempunyai tujuan utama untuk mengelompokan Kabupaten/Kota dan membandingkan pengelompokan analisis penggerombolan hirarki menggunakan Metode Pautan Tunggal, Pautan Lengkap, Pautan Rata-rata, Metode Centroid dan Metode Ward berdasarkan produksi pertanian di Sulawesi Utara. Dengan menggunakan Jarak Euclidian, pengerombolan pada Metode Pautan Tunggal, Pautan Lengkap, Pautan Rata-rata dan Metode Centroid terdapat 5 gerombol, sedangkan pada Metode Ward terdapat 6 gerombol. Berdasarkan gerombol akan dilihat perbandingan menggunakan rumus CTM (Cluster Tightness Measure) pada Metode Pautan Tunggal, Pautan Lengkap, Pautan Rata-rata, Metode Centroid menghasilkan nilai yang sama yaitu 0,054448 sedangkan metode Ward menghasilakan nilai 0,046549. Dapat di simpulkan bahwa pemilihan metode terbaik dalam pengerombolan adalah Metode Ward.
Penerapan Model Vector Autoregressive (VAR) untuk Memprediksi Harga Cengkeh, Kopra dan Pala di Sulawesi Utara Yulin Tunang; Tohap Manurung; Nelson Nainggolan
d\'Cartesian: Jurnal Matematika dan Aplikasi Vol. 8 No. 2 (2019): September 2019
Publisher : Sam Ratulangi University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35799/dc.8.2.2019.23967

Abstract

YULIN TUNANG. Application of Vector Autoregressive (VAR) Model to Predict Prices of Clove, Copra and Nutmeg Commodities in North Sulawesi. Under the guidance of NELSON NAINGGOLAN as main supervisor and TOHAP MANURUNG as a co-supervisor.The purpose of this study is to determine the vector autoregressive (VAR) model of the prices of clove, copra and nutmeg commodities in North Sulawesi. The data used are data on monthly prices of cloves, copra and nutmeg for the period of January 2015 to March 2019. Parameter estimation results for clove prices are estimated parameter values of 0,174; 0,260; 0,151 while for the copra price, the estimated value of the parameter is 0,060; 0,004; 0,002; and for nutmeg prices the parameter value of 0,215 is obtained; 0,105; 0,625. Prediction results for April, May and June 2019, namely in April 2019 the price of cloves was Rp90.882, the price of copra was Rp4.461, and the price of nutmeg was Rp70.316. The prediction results in May 2019 of clove prices amounted to Rp90.231, copra prices amounted to Rp4.411, and nutmeg prices were Rp70.021. Predicted results in June 2019 of clove prices amounted to Rp89.392, copra prices of Rp4.356, and nutmeg prices of Rp69.532.          Keywords: Vector Autoregressive (VAR) model, clove, copra, nutmeg.
Penerapan Model SIR Terhadap Perkembangan Penyakit Demam Berdarah Dengue di Kota Tomohon Suhendri A. Londah; Charles E. Mongi; Chriestie E.J.C. Montolalu
d\'Cartesian: Jurnal Matematika dan Aplikasi Vol. 8 No. 2 (2019): September 2019
Publisher : Sam Ratulangi University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35799/dc.8.2.2019.24066

Abstract

SUHENDRI ARLANDO LONDAH. Penerapan Model SIR terhadap perkembangan Penyakit Demam Berdarah Dengue (DBD) di Kota Tomohon. Dibawah bimbingan CHRIESTIE MONTOLALU sebagai ketua dan CHARLES MONGI sebagai anggota.Penelitian ini bertujuan untuk menentukan titik kesetimbangan model penyebaran penyakit DBD di Kota Tomohon dalam penerapan model SIR. Data yang digunakan adalah data jumlah penderita DBD dan jumlah penduduk di Kota Tomohon tahun 2015-2017 dari Dinas Kesehatan Daerah dan Badan Pusat Statistik Kota Tomohon. Dari hasil penelitian menunjukkan bahwa terdapat dua titik kesetimbangan model SIR terhadap perkembangan penyakit DBD di Kota Tomohon yaitu titik bebas penyakit dan titik tetap endemik. Nilai bilangan reproduksi dasar penyakit DBD di Kota Tomohon yang ada di lima wilayah kecamatan semuanya . Hasil ini menunjukkan penyakit DBD di Kota Tomohon akan berkurang. Sehingga jumlah penderita DBD akan berkurang dalam kurun waktu tertentu. Kata kunci:   DBD, Model SIR, Bilangan Reproduksi Dasar, Keseimbangan. SUHENDRI ARLANDO LONDAH. The application of the SIR Model to the development of Dengue Fever in Tomohon City. Supervised by CHRIESTIE MONTOLALU as main supervisor and CHARLES MONGI as co-supervisor.This study aims to determine the balance point of the model of the spread of  Dengue Fever in Tomohon City in the application of the SIR model.The data is used on the nnumber of people of Dengue Fever and the number of residents in Tomohon City in 2015-2017 from the Regional Health Official and the Tomohon City Central Bureau of Statistics. The results of the study indicate that there is two equilibrium point of the SIR model for the development of dengue in Tomohon City, which is a disease free equilibrium and endemic equilibrium. The value of basic reproductive numbers of Dengue Fever in Tomohon city in all five sub-districts . These results indicate that dengue in Tomohon City will decrease. So that the number of dengue sufferers will decrease in a certain period of time. Keywords : Dengue Fever, SIR Model, Basic Reproductive Reproductive Number, Equilibrium. 
Analisis Faktor – Faktor yang Mempengaruhi Produksi Getah Pinus di Kabupaten Poso Jesi A. Lateka; Tohap Manurung; Jantje D. Prang
d\'Cartesian: Jurnal Matematika dan Aplikasi Vol. 8 No. 2 (2019): September 2019
Publisher : Sam Ratulangi University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35799/dc.8.2.2019.24195

Abstract

JESI APRIANI LATEKA. Analysis of Factors Affecting Pine Gum Production in Poso District. Supervised by JANTJE D. PRANG as main supervisor and TOHAP MANURUNG as a co-supervisor.            Poso Regency is a center of productivity for pine resin in Central Sulawesi, so it is very important to know the factors that influence the production of pine sap in Poso District. Referring to several previous studies, the accumulation of various factors can cause a problem or an event triggered by various previous events, to predict the use of multiple linear regression equations that can summarize these various factors. The data used in this study are data on the land area of each group (X1 ), the number of group workers (X2) and the number of hours of group work (X3). Based on the results of multiple linear regression analysis there is a symptom of multicollinearity between the variables of the number of workers and the number of hours worked, therefore to overcome this one variable is taken, namely the number of workers. The results of the analysis show that the variable area of land and the number of labor simultaneously affect the production of pine sap with a determination coefficient of 93%. Kata kunci:   Analysis of Multiple Linear Regression, Pine Forest in Poso District
The Implementation of Bipartite Graph To Minimize Crossing Number Problem of Crossroads in Manado Timboeleng Axellica Nazareth; Chriestie E.J.C Montolalu; Benny Pinontoan
d\'Cartesian: Jurnal Matematika dan Aplikasi Vol. 8 No. 2 (2019): September 2019
Publisher : Sam Ratulangi University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35799/dc.8.2.2019.24240

Abstract

The Implementation Of Bipartite Graph To Minimize Crossing Number Problem Of  Crossroads In Manado. Supervised by BENNY PINONTAN as main supervisor and CHRIESTIE E. J. C. MONTOLALU as co-supervisor. In general, the crossroads are the meeting points of two-way roads from four different places. This causes cross direction at that point. There are various methods that can be used to minimize the crossing number problem crossroad, for example graph theory. The ability of graph theory can later help describe crossroads in Manado into graph, with nodes and lines. In this case, the crossing number problems will solve by bipartite graph. Bipartite graph is a graph that does not have an odd cycle, and can be partitioned into two parts of a set of vertices. Based on results of this research, the appropriate form of the bipartite graph is and  in two different form. First, with an isolated vertex, and second, without isolated vertex. In the case of crossroads, Bipartite graph turns out to be one method that is very suitable and helps determine the crossing number and its solution quickly.
Designing an Auto Cropping Application System for Fish Eye Image Using the Edge Detection Method Brian Sulu; Jullia Titaley; Luther A. Latumakulita; Altien J. Rindengan
d\'Cartesian: Jurnal Matematika dan Aplikasi Vol. 8 No. 2 (2019): September 2019
Publisher : Sam Ratulangi University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35799/dc.8.2.2019.24255

Abstract

Indonesia is one of the largest archipelagic countries in the world with the ocean area is larger than the mainland. This potential provides a great opportunity to do research in the maritime sector. The purpose of this research is to develop the application system that can automatically recognize and separate the fisheye images using the edge detection method. By using 20 fish digital images which taken by digital camera, the application system can recognize and separate the fisheye characteristic features with a good accuracy of 90%.
Metode Transportasi Pada Distribusi Ikan di Pelabuhan Perikanan Sulawesi Utara Gustianti Batuwael; Fernando D. Pongoh; Marline S. Paendong
d\'Cartesian: Jurnal Matematika dan Aplikasi Vol. 8 No. 2 (2019): September 2019
Publisher : Sam Ratulangi University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35799/dc.8.2.2019.24258

Abstract

Pelabuhan perikanan adalah tempat pelayanan umum bagi masyarakat nelayan dan usaha perikanan, sebagai pusat pembinaan dan peningkatan kegiatan ekonomi perikanan yang digunakan untuk pangkalan operasional tempat berlabuh, mendaratkan hasil, penanganan, pengolahan, distribusi dan pemasaran hasil perikanan. Penelitian ini bertujuan untuk mengoptimalkan biaya distribusi ikan di pelabuhan Sulawesi Utara dari 2 pelabuhan ke 6 tujuan selama tahun 2017. Penelitian ini dilakukan di kantor Dinas Kelautan dan Perikanan Daerah Provinsi Sulawesi Utara. Metode analisis yang digunakan adalah menggunakan metode pendekatan vogel dan metode batu loncatan. Dan hasil penelitian dan perhitungan dengan program riset operasi yang diperoleh hasil bahwa pelabuhan mengeluarkan biaya distribusi ikan selama tahun 2017 sebesar Rp.11.908.504.200.

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