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MAX PLUS ALGEBRA FOR DYNAMIC ANALYSIS SYSTEM OF TRANSPORT NETWORK (Case Study of Trans Hulontalangi Gorontalo City Transport) ., Nurwan; Yahya, Lailany
Sainstek Vol 6, No 4, 2011
Publisher : Jurnal Sainstek

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (32.811 KB)

Abstract

Petri nets and max plus algebra are a subclass of Discrete Event Systems (SED) that can determined and analyze the various properties of a system. Public transport is a very important community needs in urban life. Trans Hulontalangi bus is one of the transportation networks in the city of Gorontalo, held to address the problem of transport and reduce congestion. In this research constructed Petri net of transport lines trans Hulontalangi Gorontalo City, then conducted the study in the form max plus algebra. Number of place and transition of the Petri net is obtained respectively 14. Max plus algebra model is x(k +1) = Ax(k) , with ( ) 1 2 14 x(k) = x (k), x (k), , x (k) ' , and n n A Re .
PEMANFAATAN SMARTPHONE DAN LAPTOP PRIBADI MENUJU SMART TEACHER DAN SMART SOCIETY DI DESA MONGGUPO KECAMATAN ATINGGOLA KABUPATEN GORONTALO UTARA Nurwan, Nurwan; Achmad, Novianita; Resmawan, Resmawan
Jurnal Bakti Masyarakat Indonesia Vol 1, No 1 (2018): Jurnal Bakti Masyarakat Indonesia
Publisher : Lembaga Penelitian dan Pengabdian kepada Masyarakat, Universitas Tarumanagara

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1095.342 KB) | DOI: 10.24912/jbmi.v1i1.1876

Abstract

The widespread use of smartphones is still not comparable to the features contained therein. In fact, many useful things can be explored by utilizing the features available in smartphone devices, both for educational, community or entrepreneurial activities. Moreover, each smartphone is equipped with internet connection capability that can help users socialize and build a wider network. Having an internet connection on a smartphone and a personal laptop allows us to manage various activities more easily. The comfort internet provides causes internet users to increase over time. The purpose of this activity where teachers utilize personal smartphones and laptops in teaching is SMART Teacher. The definition of SMART in the SMART Teacher in this activity is SMART (Strategi Menghasilkan Alat belajaR berbasis Teknologi). While the use of personal smartphones and laptops for the community, especially for home industry or craft groups is the SMART Society. The definition of SMART in the SMART Society in this activity is SMART (Strategi Membangun wirausahA keReaTif). The method used in this activity is training / workshops and mentoring. The results of the training / workshop and mentoring activities are that teachers are able to utilize smartphones well in learning activities so that Smart Teachers are realized, and household industry groups, craft groups, or novice entrepreneurs are able to use smartphones to improve business for the realization of Smart SocietyABSTRAK: Penggunaan smartphone yang marak di masyarakat masih tidak sebanding dengan fitur-fitur yang terdapat didalamnya. Sejatinya, banyak hal bermanfaat yang dapat dieksplorasi dengan memanfaatkan fitur-fitur yang tersedia dalam perangkat smartphone, baik untuk kegiatan pendidikan maupun untuk kegiatan kemasyarakatan atau kewirausahaan. Terlebih lagi, setiap smartphone dilengkapi dengan fasilitas internet yang dapat membantu pengguna dalam bersosialisasi dan membangun jaringan yang lebih luas. Adanya koneksi internet pada smartphone dan melalui laptop pribadi memungkinkan mengelola berbagai macam kegiatan dengan lebih mudah. Kemudahan yang dapat diperoleh melalui internet menyebabkan pengguna internet selalu meningkat setiap saat. Tujuan dari kegiatan pemanfaatan smartphone dan laptop pribadi bagi guru dalam pembelajaran adalah SMART Teacher. Definisi SMART pada SMART Teacher yang diusung dalam kegiatan ini adalah SMART (Strategi Menghasilkan Alat belajaR berbasis Teknologi). Sedangkan kegiatan pemanfaatan smartphone dan laptop pribadi bagi masyarakat khususnya kalangan industri rumah tangga atau kelompok kerajinan adalah SMART Society. Definisi SMART pada SMART Society yang diusung dalam kegiatan ini adalah SMART (Strategi Membangun wirausahA keReaTif). Metode yang digunakan dalam kegiatan ini adalah pelatihan/workshop dan pendampingan. Hasil dari kegiatan pelatihan/workshop dan pendampingan adalah guru mampu memanfaatkan smartphone dengan baik dalam kegiatan pembelajaran sehingga Smart Teacher terwujud dan kelompok industri rumah tangga, kelompok pengrajin atau wirausaha pemula mampu memanfaatkan smartphone untuk membangun wirausaha sehingga Smart Society terwujud.
A MODEL ARCH(1) DAN GARCH(1,1) PADA PERAMALAN HARGA SAHAM PT. COWELL DEVELOPMENT Tbk. Bilondatu, Rosna Ningsih; Nurwan, Nurwan; Isa, Dewi Rahmawaty
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 13 No 1 (2019): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (200.762 KB) | DOI: 10.30598/barekengvol13iss1pp009-018ar676

Abstract

Penelitian ini memfokuskan pada peramalan harga saham PT. Cowell Development Tbk. menggunakan data pada Januari 2013 sampai Desember 2016. Hasil analisis diperoleh model terbaik adalah model ARIMA(2,1,12). Hasil pengujian asumsi residual white noise menggunakan uji Ljung-Box menunjukkan bahwa model ARIMA(2,1,12) merupakan residual white noise. Hasil uji ARCH-LM menunjukkan data mengandung efek heteroskedastisitas atau unsur ARCH. Model yang diajukan dalam penelitian ini adalah ARCH(1) dan GARCH(1,1). Nilai AIC dan BIC terkecil dari dua model ini adalah ARCH(1). Model ARIMA(2,1,12) dengan residual ARCH(1) merupakan model terbaik untuk meramalkan saham PT. Cowel Development Tbk. Penerapan model ARCH(1) untuk meramalkan harga saham PT. Cowel Development Tbk selama 10 hari periode 2013-2016, menunjukkan bahwa peramalan sudah mendekati data faktual dengan nilai MAPE sebesar 0,043%. Hal ini memberikan indikasi hasil peramalan sudah mendekati data faktual.
METODE EXPONENTIAL SMOOTHING EVENT BASED (ESEB) DAN METODE WINTER’S EXPONENTIAL SMOOTHING (WES) UNTUK PERAMALAN JUMLAH PENUMPANG TIBA DI PELABUHAN PENYEBERANGAN GORONTALO Payu, Muhammad Rezky Friesta; Nurwan, N.
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 13 No 3 (2019): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (146.797 KB) | DOI: 10.30598/barekengvol13iss3pp197-202ar935

Abstract

Forecasting the number of passengers can be a consideration for managers of Gorontalo Crossing Port regarding the provision of tickets. The number of passengers can be influenced by certain seasonal or special events. To see the special events that affect the number of passengers arriving at Gorontalo Crossing Port, the forecasting method used is the Exponential Smoothing Event Based (ESEB) method. The seasonal influences can be known through historical data patterns and using the Winter’s Exponential Smoothing (WES) method. After compared, the ESEB method is a better method of forecasting the number of arriving passengers at Gorontalo Crossing Port because it has a smaller MAPE value than the WES method.
ANALISIS KESTABILAN MODEL PENYEBARAN PENGGUNA NARKOBA DENGAN FAKTOR EDUKASI Husain, Moh Rizal; Nurwan, Nurwan; Resmawan, Resmawan
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 1 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (803.02 KB) | DOI: 10.30598/barekengvol14iss1pp069-078

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This article discusses the model of drug addicts with education. The analysis begins by constructing the model. Next, the equilibrium point and its stability conditions are determined, and numerical simulation is given at the end. Two equilibrium points obtained, those are the drug-addicts free equilibrium point and the drug-addicts endemic equilibrium point. Then the basic reproduction number ( ) as the expected value of infection per unit time is determined using the Next Generation Matrix approach. Based on the numerical simulation, every population is stable near to the drug-free equilibrium point at , means the population of the drug-addict constantly decrease and on a certain condition will be non-existent, and stable around to drug-endemic equilibrium point at , means the drug-addict population will constantly increase so the drug epidemic occurred. Through the numerical simulation, the biggest education is given, the more population susceptible to education increase which caused the number population of susceptible without education decrease.
ANALISIS KESTABILAN MODEL DISKRIT EKO-EPIDEMIOLOGI SALAMAH, ANI; Achmad, Novianita; Nurwan, Nurwan
TRANSFORMASI Vol 4 No 2 (2020): TRANSFORMASI : Jurnal Pendidikan Matematika dan Matematika
Publisher : Pendidikan Matematika FMIPA Universitas PGRI Banyuwangi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36526/tr.v4i2.950

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Penelitian ini membahas tentang model diskrit eko-epidemiologi. Model eko-epidemiologi adalah gabungan dari ilmu ekologi dan epidemiologi yang membahas tentang interaksi antara predator, prey rentan, dan prey terinfeksi menggunakan fungsi respon Holling tipe I dan pertumbuhan prey rentan mengunakan fungsi logistik untuk membatasi pertumbuhan yang berlebihan pada prey rentan.Model diskrit eko-epidemiologi diperoleh dengan mendiskritisasikan model eko-epidemiologi menggunakan metode Euler. Dari model diskrit tersebut diperoleh 5 titik kesetimbangan, yaitu titik kesetimbangan E0 dimana semua populasi mengalami kepunahan, titik kesetimbangan E1 ketika terjadi kepunahan pada populasi prey terinfeksi dan predator, titik kesetimbangan E2 ketika terjadi kepunahan pada populasi prey terinfeksi, titik kesetimbangan E3 ketika terjadi kepunahan pada populasi predator, dan titik kesetimbangan E4 ketika semua populasi hidup berdampingan. Berdasarkan hasil analisisnya, selalu tidak stabil, hal ini disebabkan oleh nilai eigen yang diperoleh pada persamaan linierisasi model di sekitar titik-titik ekuilibrium tersebut, nilai mutlaknya selalu besar satu. Untuk E1, E2, E3, dan E4 kestabilan titik-titik kesetimbanganditentukan oleh suatau syarat dan kondisi tertentu.
PENERAPAN MODEL INTEGER LINEAR PROGRAMMING DALAM OPTIMASI PENJADWALAN PERKULIAHAN SECARA OTOMATIS Wungguli, Djihad; Nurwan, Nurwan
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1001.471 KB) | DOI: 10.30598/barekengvol14iss3pp413-424

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Lectures scheduling is a difficult administrative task for universities. This happens because in lectures scheduling must combine the number of courses, approve the room, day and period, as well as teaching lecturers. The purpose of this article is to create an optimization model for courses scheduling using integer linear programming to minimize the level of dissatisfaction between lecturers and students. This model is applied to making a schedule in the Mathematics Study Program at Gorontalo State University. In this research, data and information collected about the scheduling of lectures as a basis for making models. There are 55 study groups scheduled in 4 rooms, 5 days and 12 time periods. Furthermore, the scheduling optimization model is made in the form of integer linear programming and is solved by LINGO 18.0 software. The result obtained from this study is a lecture schedule that is free of conflict. Lectures scheduling produced meets the requirements and requests for lecturers and students in the Mathematics Study Program. In addition, the resulting model can help the time needed to do the scheduling.
Goodwin Model with Clustering Workers' Skills in Indonesian Economic Cycle Mahmud, Sri Lestari; Resmawan, Resmawan; Ismail, Sumarno; Nurwan, Nurwan; Taki, Febriani
CAUCHY Vol 7, No 2 (2022): CAUCHY: Jurnal Matematika Murni dan Aplikasi (May 2022) (Issue in Progress)
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v7i2.13458

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The economic model which deals with the economic cycle is Goodwin's Model. It presents the relationship between the employment rate and wage shares. In this study, the modification model was made, taking into three types of workers, namely high, medium, and low-skilled workers. Studies of the model are conducted by determining the equilibrium point and its stability analysis. Furthermore, a numerical simulation is given to see which model satisfies the ideal of Goodwin‘s model cycle prediction by using Indonesian data from 2000 to 2020. In the end, an investigation into the effects of reducing the wage gap between the three types of workers was conducted. The results showed two equilibrium points, namely The Equilibrium Point without Employment Rate and The Wages Share (T1) and the Existence Equilibrium Point of Employment Rate and Wages Share (T2). T1 achieves a stable node condition when ScQd+pi+et while T2 reaches a stable center condition when ScQd+pi+et. The simulation showed Goodwin's model of high- and low-skilled workers produced the ideal of Goodwin model cycle predictions, whereas Goodwin's model of medium-skilled workers and the entire economy (capitalist) didn’t produce the ideal of Goodwin model cycle predictions. Eventually, the effects of reducing the wage gap make the economy unstable.
Bilangan terhubung titik pelangi pada graf bunga (Wm,Kn) dan graf Oleander (Orn) Taha, Dennynatalis; Nurwan, Nurwan; Nasib, Salmun K.; Yahya, Nisky Imansyah
Unnes Journal of Mathematics Vol 10 No 1 (2021)
Publisher : Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/ujm.v10i1.41247

Abstract

Penelitian ini bertujuan untuk mencari bilangan terhubung titik pelangi. Misalkan G=(V(G),E(G)) adalah Graf Terhubung tak-trivial. Graf G dikatakan terhubung titik pelangi jika antara setiap dua titik pada suatu lintasan memiliki warna yang berbeda. Rainbow Vertex Connection pada graf G yang terhubung (Rvc(G) merupakan minimum warna yang dibutuhkan untuk membuat graf G terhubung titik pelangi. Pada penelitian ini membahas tentang bilangan terhubung titik pelangi (Rvc(G) pada Graf Bunga (Wm,Kn) dan Graf Oleander (Orn) . Berdasarkan hasil dari penelitian maka diperoleh rvc(Wm,Kn)=2 jika m=3 dan m=4 dan n>=3, rvc(Wm,Kn)=3 jika m=5. rvc(Orn)=diam-1 jika n=3,n=4 dan n=5, rvc(Orn)=diam-1 jika n=6
DESKRIPSI KEMAMPUAN BERPIKIR KRITIS SISWA MELALUI PEMBELAJARAN DARING PADA MATERI SEGI EMPAT Perry Zakaria; Nurwan Nurwan; Frendy Dermawan Silalahi
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 9 Issue 1 June 2021
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v9i1.10539

Abstract

This research is a descriptive study that aims to describe students' critical thinking abilities carried out by online learning. This research was conducted in class VIII SMP Negeri Widyakrama involving 23 students as research subjects. Data collection was obtained from validated essay test instruments. The test instrument was used to collect data on students' mathematical critical thinking abilities with indicators (a) problem identification (b) analysis, (c) synthesis, and (d) drawing conclusions. The results showed that students' critical thinking abilities implemented through online learning at Widyakrama State Middle School were in the medium category. This is shown based on the classification of critical thinking abilities of 23 respondents. There are only 5 students who are in the high category, 14 students are in the medium category, and 4 other students are in a low category.