Indonesian Journal of Applied Mathematics
Indonesian Journal of Applied Mathematics is a scientific publication media that publishes articles from the results of research or studies in the field of applied mathematics, focusing on Computational Mathematics, Optimization, Actuarial, Statistics, Numerical Modelling, Mathematical Physics, Financial Mathematics and Combinatorics. This journal publish twice in a year April and October. Indonesian Journal of Applied Mathematics is fully supported by Mathematics Study Program and Actuarial Study Program of Institut Teknologi Sumatera.
Articles
46 Documents
<![CDATA[Analisis Faktor Indeks Harga Konsumen (IHK) Menurut Kelompok Pengeluaran yang Mempengaruhi Laju Inflasi Provinsi Lampung Tahun 2020 ]]>
<![CDATA[Ayu Aprianti]]>;
<![CDATA[Tiara Shofi Edriani]]>
<![CDATA[ Indonesian Journal of Applied Mathematics Vol 2 No 2 (2023): Indonesian Journal of Applied Mathematics Vol. 2 No. 2 January Chapter ]]>
Publisher : <![CDATA[Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia ]]>
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DOI: 10.35472/indojam.v2i2.1028
<![CDATA[The Consumer Price Index (CPI) is used as the basis for calculating regional inflation rates. The balance of the CPI variable by Expenditure Group (CPI-EG) needs to be considered so that it does not have a major impact on the inflation rate. The purpose of this study is to determine the CPI-EG variable that affects the inflation rate in Lampung Province using the factor analysis method through the extraction technique of Principal Component Analysis. Factor analysis aims to reduce the CPI-EG variable into a factor with a smaller number. Based on the result of factor analysis there are 3 CPI-EG variables that were reduced because they did not meet the feasibility test and 8 CPI-EG variables that could be analyzed further. These variables form 1 factor which is named the Community Supporting Needs Factor. These factors can explain 79,304% of the total variance. Of the 8 CPI-EG variables, the Health Variable is the most dominant effect on the inflation rate in Lampung Province with a strong correlation of 0,980. This inflation rate is due to public health needs due to the increase in Covid-19 cases in Lampung Province in 2020.]]>
<![CDATA[Analisis Hubungan Kepadatan Penduduk dengan Pola Penyebaran COVID-19 Provinsi DKI Jakarta menggunakan Regresi Robust ]]>
<![CDATA[Edriani, Tiara Shofi]]>;
<![CDATA[Rahmadani, Anisa]]>;
<![CDATA[Noor, Dear Michiko Mutiara]]>
<![CDATA[ Indonesian Journal of Applied Mathematics Vol. 1 No. 2 (2021): Indonesian Journal of Applied Mathematics Vol. 1 No. 2 April Chapter ]]>
Publisher : <![CDATA[Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia ]]>
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DOI: 10.35472/indojam.v1i2.353
<![CDATA[COVID-19 pandemic have been spread around the world since the first outbreak on Desember 2019 in Wuhan, China. DKI Jakarta as one of the highest population density among 34 provinces in Indonesia, has become an endemic area of COVID-19 with the rate of new cases show some fluctuation for each month along 2020. This is a secondary data research which drawn from Health Ministry of Indonesia as well as Center of Statistics for DKI Jakarta. Focus and the scope of this paper is on analyzing the relation between new cases of COVID-19 with population density of Jakarta’s districts. Descriptive and inferential analysis that combined with Robust Regression Test are conducted due to some outliers data. This unbiased method shows a good regression model of spreading new positive cases. M-Estimator Robust Regression with Tukey Bisquare function, shows the best result with the least Residual Standar Error (RSE), that is 0.411. Analysis on statistical test for the chosen model shows that population density has significant impacts on outbreak pattern of COVID-19 in Jakarta. But mobilities and interactions betweeen citizens has also give a great impact.]]>
<![CDATA[Penerapan Algoritma Batchelor-Wilkins dalam Pengklasteran Graf ]]>
<![CDATA[Christyan Tamaro Nadeak]]>
<![CDATA[ Indonesian Journal of Applied Mathematics Vol 3 No 1 (2023): Indonesian Journal of Applied Mathematics Vol. 3 No. 1 July Chapter ]]>
Publisher : <![CDATA[Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia ]]>
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DOI: 10.35472/indojam.v3i1.1259
<![CDATA[Batchelor-Wilkins Algorithm is a simple and heuristic clustering algorithm used when the number of classes is unknown. In this paper we will use Batchelor-Wilkins algorithm in graph clustering, specifically a Banana Tree Graph B(n,k), a graph obtained by connecting one leaf of each of n copies of a complete bipartite graph K_{1,k-1} to a single root vertex.]]>
<![CDATA[Analisis Kestabilan Solusi Soliton pada Persamaan Schrodinger Nonlinier Diskrit Nonlokal ]]>
<![CDATA[Gusrian Putra]]>;
<![CDATA[Hanifah Septaningtiyas]]>;
<![CDATA[Elsa Nabila]]>;
<![CDATA[Lisa Arianti Br Tarigan]]>
<![CDATA[ Indonesian Journal of Applied Mathematics Vol 2 No 1 (2022): Indonesian Journal of Applied Mathematics Vol. 2 No. 1 April Chapter ]]>
Publisher : <![CDATA[Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia ]]>
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DOI: 10.35472/indojam.v2i1.730
<![CDATA[In this paper, the Nonlocal Discrete Nonlinear Schrodinger (DNLS) equation that interpolates the Nonlocal Ablowitz-Ladik DNLS and the Nonlocal Cubic DNLS equations and its stability are studied in detail. The solution of the Nonlocal SNLD equation is a soliton wave in the form of a Gaussian ansatz obtained using the method of Variational Approximation (VA). The stability of the solution is also analyzed using the VA. These semi-analytical results are then compared to numerical results. The soliton and its stability obtained via VA is concluded to be having a fairly good conformity with numerical results.]]>
<![CDATA[Analisis Korelasi Luas Lahan Serta Ekspor Kopi Lampung Terhadap Ekspor Kopi Indonesia ]]>
<![CDATA[Rika Agustin]]>;
<![CDATA[Dini Novita]]>;
<![CDATA[Hendri Pratama]]>;
<![CDATA[Safira Sela]]>;
<![CDATA[Syahna Cyntia]]>;
<![CDATA[Dear Michiko M. Noor]]>
<![CDATA[ Indonesian Journal of Applied Mathematics Vol 1 No 1 (2020): Indonesian Journal of Applied Mathematics Vol. 1 No. 1 October Chapter ]]>
Publisher : <![CDATA[Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia ]]>
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<![CDATA[Lampung merupakan produsen kopi terbesar kedua dan sumber pengekspor kopi pertama di Indonesia. Sementara Indonesia merupakan pengekspor kopi terbesar ke-4 di dunia. Kopi menjadi salah satu sumber pendapatan devisa utama negara. Paper ini membahas tentang hubungan antara luas lahan kopi di Indonesia dengan jumlah kopi yang diekspor. Hubungan antara eksport kopi lampung dengan eksport kopi Indonesia turut menjadi pokok bahasan utama pada jurnal ini. Data diperoleh dari Badan Pusat Statistik yang diolah secara kuantitatif. Pengolahan data dilakukan dengan menerapkan metode statistika non parametrik yaitu uji korelasi Spearman dengan bantuan SPSS 25. Hasil penelitian menunjukkan bahwa luas lahan kopi cukup berpengaruh terhadap jumlah ekspor kopi Indonesia, begitu pula dengan jumlah ekspor kopi Lampung yangpengaruhnya tinggi terhadap jumlah ekspor kopi Indonesia.]]>
<![CDATA[Aplikasi Fuzzy Linier Programming dengan Metode Branch and Bound untuk Mengoptimalkan Jumlah Produksi dan Keuntungan Penjualan Roti di Italia Bakery Bandar Lampung ]]>
<![CDATA[Achmad Suryadi Nasution]]>;
<![CDATA[Fatin Trihastuti]]>;
<![CDATA[Sri Efrinita Irwan]]>
<![CDATA[ Indonesian Journal of Applied Mathematics Vol 2 No 2 (2023): Indonesian Journal of Applied Mathematics Vol. 2 No. 2 January Chapter ]]>
Publisher : <![CDATA[Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia ]]>
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DOI: 10.35472/indojam.v2i2.1030
<![CDATA[Italia Bakery is one of the bakeries in Bandar Lampung that produces various types of sandwiches, namely meat bread, and green bean bread. The Italian Bakery factory has difficulty in determining the optimal amount of bread production as well as controlling the right amount of raw materials. This causes losses for the factory because bread that is not worth the market will be thrown away, as a result of which the profits obtained do not reach the maximum limit. This problem can be solved by planning the optimal production amount based on the amount of raw material supply and the amount of demand with fuzzy linear programming methods. Results that have been completed with fuzzy linear programming that is still a fractional number can be rounded using the branch and bound method. Based on the results of research conducted, it is known that the use of both methods can increase the company's profits by 8,17%.]]>
<![CDATA[Analisis Dinamik Model SIR Pada Kasus Penyebaran Penyakit Corona Virus Disease-19 (COVID-19) ]]>
<![CDATA[Sari, Shinta Puspita]]>;
<![CDATA[Arfi, Eristia]]>
<![CDATA[ Indonesian Journal of Applied Mathematics Vol. 1 No. 2 (2021): Indonesian Journal of Applied Mathematics Vol. 1 No. 2 April Chapter ]]>
Publisher : <![CDATA[Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia ]]>
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DOI: 10.35472/indojam.v1i2.354
<![CDATA[Corona Virus Disease-19 (COVID-19) merupakan salah satu virus yang menyebabkan penyakit pada manusia dan hewan. Penyakit ini menyebabkan gangguan saluran pernapasan sedang atau berat. Telah dilakukan penelitian untuk mengetahui dinamika perkembangan COVID-19 dengan menggunakan model persamaan diferensial SIR. Model SIR merupakan salah satu pemodelan matematika yang menghubungkan antara individu yang rentan, terinfeksi dan individu yang sembuh. Berdasarkan hasil analisis dinamik model SIR dengan parameter laju infeksi dan laju kesembuhan berturut-turut yaitu beta = 0.5 dan gama=0.3 . Model SIR memiliki dua titik kesetimbangan yaitu kesetimbangan bebas penyakit pada titik E_0=(0,0,0) dan titik kesetimbangan endemik pada titik E_1=(gama/beta,0,0) . Analisis kestabilan perilaku dinamik model S dan I pada titik kesetimbangan E_0=(0,0,0) memiliki sifat semi stabil dan E_1=(gama/beta,0,0) memiliki sifat konstan. Hal ini menunjukkan bahwa akan terjadi epidemi COVID-19 dalam kurun waktu tertentu. Solusi dinamik model SIR pada titik kesetimbangan menggunakan solusi numerik metode runge-kutta orde 4 dengan solusi analitik menunjukkan suatu perbedaan yang tidak terlalu besar saat mencapai titik kestabilan.]]>
<![CDATA[Simulasi Pergerakan Dana Tabarru Produk Asuransi Jiwa Unit Link Syariah ]]>
<![CDATA[Indah Gumala Andirasdini]]>;
<![CDATA[Ratih Suryaningsih]]>
<![CDATA[ Indonesian Journal of Applied Mathematics Vol 3 No 1 (2023): Indonesian Journal of Applied Mathematics Vol. 3 No. 1 July Chapter ]]>
Publisher : <![CDATA[Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia ]]>
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DOI: 10.35472/indojam.v3i1.1261
<![CDATA[Premi or known as Contributions in sharia insurance are part of tabbaru fund which is paid by participants. Tabarru’ has puposes to provide the "benevolent funds" with the sincere intention of helping each other among fellow "takaful" participants when one of them suffers a misfortune, such as death. These funds provided by insurance participants will be used to pay claims or insurance benefits by insurance companies. A sharia insurance company is considered doing well financially when tabbaru's funds are well managed to paid the insurance claim. In addition, the company must have sufficient funds to overcome the underwriting deficit in case it happen. This study aims to simulate the adequacy of a company's tabarru’ funds in each period, assuming there is no change in the number of participants during that period. The simulation results can conclude the adequacy of tabarru funds to pay participant claims. Sum of tabarru’ funds are calculated based on the sum of each participant's tabarru’ contribution, which is affected by each sharia-linked unit life insurance product and the participant's policy period. The tabarru’ fund sufficiency simulation is predicted using the IMA(2,1) time series model. The results of this study conclude that the average tabarru funds for each product will be used up in the following year with the criteria of the number of people making claims of not less than five participants. In this study, we found that the company can survive if the number of claims paid from the tabarru' fund with participants tabarru' fund contributions is balanced.]]>
<![CDATA[Analisis Prediksi Data Kasus Covid-19 di Provinsi Lampung Menggunakan Recurrent Neural Network (RNN) ]]>
<![CDATA[Akhdan Aziz Ghozi]]>;
<![CDATA[Ayu Aprianti]]>;
<![CDATA[Ahmad Dzaki Putra Dimas]]>;
<![CDATA[Rifky Fauzi]]>
<![CDATA[ Indonesian Journal of Applied Mathematics Vol 2 No 1 (2022): Indonesian Journal of Applied Mathematics Vol. 2 No. 1 April Chapter ]]>
Publisher : <![CDATA[Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia ]]>
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DOI: 10.35472/indojam.v2i1.763
<![CDATA[This study aims to examine the architectural performance of the Recurrent Neural Network (RNN) model in predicting Covid-19 cases in Lampung Province. The RNN method is part of Deep Learning which will be used to model data on Covid-19 cases in Lampung Province from March 26, 2020 to March 28, 2021. The RNN model was chosen because the Covid-19 data is in the form of a time series and the advantages of RNN are that it can capture information on the data time series using multiple network layers which allow better modeling and resulting in high prediction accuracy. The data is divided into 3, namely active cases, recovered cases, and dead cases. After preparing the data, the 368 data were divided into 294 initial latih data and 74 test data. After latih on the data for each data, then a test is carried out on the data for each data as a reference for predicting the latest data. The most optimal results show the cumulative active case model with RMSE=0.0022; for cumulative recovery cases obtained RMSE = 0.0007; while the cumulative death cases obtained RMSE = 0.0012. Based on the modeling error, then make predictions on the three cases which results in RMSE = 0.001 for cumulative active cases; RMSE=0.0027 for cumulative recovery cases; and RMSE=0.001 for cumulative death cases.]]>
<![CDATA[Analisis Korelasi Sistem Kuliah Lintas Prodi dengan Keefektifan Pembelajaran Mahasiswa Program Studi Matematika Institut Teknologi Sumatera (ITERA) ]]>
<![CDATA[Yenci Brika Enkekes]]>;
<![CDATA[Khairina Alzulfa Yanti]]>;
<![CDATA[Roni Setiawan]]>;
<![CDATA[Novia Restiana]]>;
<![CDATA[Yuen Rona Fadia]]>;
<![CDATA[Tri Utomo]]>
<![CDATA[ Indonesian Journal of Applied Mathematics Vol 1 No 1 (2020): Indonesian Journal of Applied Mathematics Vol. 1 No. 1 October Chapter ]]>
Publisher : <![CDATA[Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia ]]>
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<![CDATA[Kuliah Lintas Prodi adalah kegiatan mengikuti mata kuliah yang ditawarkan di luar mata kuliah Program Studi Matematika. Penelitian ini bertujuan untuk mengetahui hubungan antara keberlakuan sistem kuliah lintas prodi dengan keefektifan pembelajaran mahasiswa Program Studi Matematika Institut Teknologi Sumatera (ITERA). Hal ini melatarbelakangi permasalahan psikologis mahasiswa Program Studi Matematika angkatan 2017 dan 2018. Metode penelitian yang digunakan dalam penelitian ini adalah metode statistik dan pengujian hipotesis dengan Uji Korelasi Pearson dengan menggunakan variabel yaitu skor sistem kuliah lintas prodi dan skor keefektifan dalam belajar. Teknik pengumpulan data yang dilakukan adalah memperoleh data dari kuisioner dengan hasil 52 responden, yang berikutnya digunakan teknik penyajian skor hasil kuisioner. Dari hasil penelitian yang dilakukan maka dapat disimpulkan bahwa tidak terdapat korelasi yang signifikan antara sistem kuliah lintas prodi dengan keefektifan pembelajaran mahasiswa Program Studi Matematika Institut Teknologi Sumatera (ITERA).]]>
