Journal of Mathematics UNP
Journal of Mathematics UNP is a journal to publish article from student researches in UNP Mathematics study program, and we also kindly accept other article from outside of our study program related to Mathematics: consists of publication in Algebra, Analysis, Combinatoric, Geometry, Differential Equations, Graph and/or Mixed Mathematics Applications: consists of publication in Application of Differential Equations, Mathematics Modelling, Mathematics Physics, Mathematics Biology, Financial Mathematics, Application of Graph and Combinatorics, Optimal Control, Operation Research, and/ or Mixed Statistics: consists of publication on Development and/ or Application of statistics in various aspects.
Articles
404 Documents
Analisis Risiko Investasi pada Portofoliodengan Value at Risk (VaR) Menggunakan Simulasi Monte Carlo
Afra Moudi Luthfiyanti;
Media Rosha
Journal of Mathematics UNP Vol 5, No 4 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v5i4.11118
Abstract— Investment is the placement of a number of funds at this time for the purpose to obtain a number of benefits in the future. In investing, Value at Risk is needed as a measurement tool that serves as a risk estimator that will occur. The method used to calculate VaR is the Monte Carlo Simulation method that performs simulations by generating random numbers. The data used in this study is secondary data, that is data on the closing price of Unilever and Telekomunikasi stock in the June 2019-November 2019 period. The data analysis technique used is calculate stock returns, conduct a normality test, simulate the return value using parameter estimation, estimate the maximum loss, calculate the VaR value and the average of VaR. Based on research result at a 95% confidence level, a period of one day and an initial investment fund is assumed ????????. ????. ????????????. ????????????. ???????????? it is possibility of losses amounted to ????????. ????????. ????????????. ????????????, ????????.Keywords— investment, Value at Risk (VaR), Monte Carlo simulation.
Model Matematika Penanggulangan Pencemaran Udara dengan Penanaman Pohon
Esty Wahyuni;
Muhammad Subhan
Journal of Mathematics UNP Vol 3, No 1 (2018): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v3i1.4659
Abstract – Air pollution is greatly feared by urban communities, as the majority of them use motor vehicles. The purpose of the research is to know the factors that increas air pollution using mathematical model. This research is a basic research using descriptive method. Research steps are identifying problems, determining variables, parameters, assumptions, forming mathematical models, analyzing models and interpreting models. The mathematical model analysis results obtained by a stable fixed point. Where the fixed point is which is the maximum value of each concentration. The stability behavior of the fixed point is strongly influenced by the condition of the parameter value of the model that is the rate of change of each factor. Factors that affect the increase of carbon monoxide in the air are the sources of carbon monoxide derived from motor vehicles, the source must be controlled so that the increase of carbon monoxide in the air can be limited.
Analisis Nilai Ekspor Impor Menurut Standard International Trade Classification (SITC) di Provinsi Sumatera Barat Menggunakan Analisis Profil
Tia Istiramadhani;
Helma Helma
Journal of Mathematics UNP Vol 7, No 2 (2022): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v7i2.12499
Export is the activity of selling goods and services produced domestically to foreign countries. Meanwhile, import is the activity of purchasing goods and services made abroad into the country. If the value of exports and imports experiences instability, the country's economy will also experience instability which will have an impact on the country's income. For this reason, it is necessary to describe the comparison of the value of exports and imports in the province of West Sumatra according to the Standard International Trade Classification (SITC) using profile analysis. This research aims to determine the class of goods according to the Standard International Trade Classification (SITC) which is optimal using profile analysis. In the profile analysis, a comparison of the average value of exports and imports is carried out using the parallelism test, the overlap test and the level test and continued testing for each variable. The results of the tests that have been carried out are that the item code 4 (vegetable and animal oil/fat) has developed well.
Metode Zero Suffix Dalam Meminimumkan Biaya Pengiriman Barang (Studi Kasus PT. Aspac Cargo)
Ega Rizka Wahyuni;
Arnellis Arnellis
Journal of Mathematics UNP Vol 6, No 3 (2021): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v6i3.11826
Logistics business activities, expedition services and couriers are sectors that experienced a growth spurt and even showed an increase in transaction value. PT. Asia Pacific Dirgantara (Aspac Cargo) is an expedition service company that requires a mechanism in the distribution of goods. In the distribution of goods, planning to determine shipping costs is very influential. Good planning makes PT. Aspac Cargo is superior to other shipping companies so that it can get maximum profit. The purpose of this study was to determine the minimum cost of shipping goods at PT. Aspac Cargo using the Zero Suffix method and the minimum cost percentage obtained by PT. Aspac Cargo in minimizing the cost of shipping goods using the Zero Suffix method. This research is applied research and the data used are data on delivery of goods, data on demand for delivery of goods and data on the cost of shipping goods from the city of origin to the city of destination. The final result of the application of the Zero Suffix method to minimize the cost of shipping goods at PT. Aspac Cargo is Rp. 322,322,000 and the percentage of the minimum cost obtained by PT. Aspac Cargo in minimizing the cost of shipping goods using the Zero Suffix method, which is 16.9%
Preferensi Wisatawan Terhadap Tempat Rekreasi Pantai Air Manis di Kota Padang dengan Menggunakan Analisis Konjoin
Julian Heru Saputra;
Dewi Murni
Journal of Mathematics UNP Vol 4, No 4 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v4i4.7918
Abstract–Tourism sector is one sector that can be developed so that can bring benefits to the surrounding area. The development of tourism has economic impact as expanding businesses and opportunities for employment. One of the attractions in West Sumatra is Air Manis Beach. The purpose of this research is to find out how the combination of attribute from the level of visitor preferences with Air Manis Beach. The type of research used is survey research. Population in this research was visitors Air Manis Beach and used sample as much 100 visitors. The sampling is accidental sampling method. Instrument in this research is questionnaire. Data analysis used is conjoint analysis. Research result from the most popular combination of visitors is beach, amiable and attractive, and mosque. Combinations that less liked by visitors are food and beverages, broadminded and ATV(All Terrain Vehicle).Keywords–Conjoint Analysis, Attributes, Preferences, Tourism.
Prediksi Persediaan Minyak Bumi Menggunakan Model Dinamis Distribusi Lag, Dinamis Autoregressive , dan Autoregressive Distribusi
Hary Merdeka;
Helma Helma;
Yenni Kurniawati
Journal of Mathematics UNP Vol 6, No 1 (2021): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v6i1.11548
Abstract – Energy security is the availability of energy sources that are not disconnected at an affordable price. Problems that occur in energy security in Indonesia is an imbalance in the production of petroleum consumption in Indonesia. Therefore the aim of this study to predict the oil supplies for several years later. Based on the results obtained from the model distribution autoregressive lag model . a petroleum supplies, petroleum consumption in the two previous periods, and oil production earlier period. From the model can be predicted that oil supplies in 2014 and 2015 respectively amounting to 3.112.002 and 3.335.348 terajoule. This model depicts the predictions of inventory that is influenced by petroleum consumption in the two previous periods and production of petroleum in the previous period amounted to 98.28%. Keywords – Energy security, lag distributiondynamic models, dynamicautoregressive, distribution autoregressive lag, ARDL.
Model Matematika Pengaruh Gempabumi Terhadap Bangunan Bertingkat
Latifah Hanum;
Muhammad Subhan
Journal of Mathematics UNP Vol 5, No 2 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v5i2.8921
Abstract — Earthquakes have an impact on building damage. Buildings with low-rise floors are often found to be damaged more than multi-storey buildings. The aim of the research is to investigate the movement of the building floor to see the structure response of building to the earthquake. Research on mathematical models of the effect of earthquakes on multi-storey buildings involves a system of differential equation which is solved by applying the eigenvalue method and eigenvector. The effect of coulomb damping is also incorporated in this study. The results of the study will show the history of displacement time, velocity, and acceleration of each building floor to earthquake loads and the relationship between natural frequency and earthquake time period. Keywords — Mathematical Modelling, Earthquake, Coulomb Damping.
Penggunaan Metode Attained Age Normal dan Projected Unit Credit Pada Perhitungan Pembiayaan Dana Pensiun (Studi Kasus: PERUMDA Tirta sakti Kerinci)
Miranda, Dede;
Arnellis, Arnellis
Journal of Mathematics UNP Vol 7, No 4 (2022): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v7i4.13669
The problem in this study is that PERUMDA Tirta Sakti must provide guarantees to employees regarding pension funds. This study aims to calculate the amount of normal contributions, actuarial obIigations, using the AAN and PUC methods. This is applied research, and the participants are all PERUMDA Tirta Sakti Kerinci employees. Purposive sampling is the method of sampling.When compared to the Projected Unit Credit method, the findings demonstrated that the normal contribution calculated using the Attained Age Normal method increased significantly as one approached retirement age. The PUC method yields a lower amount of actuarial liabilities than the AAN method. The total amount of accumulated pension contributions has an impact on the size of theiipension benefit. The amassed annuity commitments are straight forwardly corresponding to the benefits got by the members.
Penggunaan Metode Autoregressive Integrated Moving Average untuk Meramalkan Nilai Tukar Petani di Sumatera Barat
Yosela, Fiera;
Arnellis, Arnellis
Journal of Mathematics UNP Vol 7, No 4 (2022): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v7i4.13817
Resident of West Sumatra is mostly absorbed in the agricultural sector. The welfare of farmers is the main priority which is believed to be in development in that sector. Therefore we need a benchmark to measure prosperity of peasant, either is farmer’s exchange rate. This study has goal of get best ARIMA model to predict the farmer’s exchange rate of West Sumatra. Research results to get greates model ARIMA (1,1,1) have smallest MSE vaIue 2681^(-9). The shape of the model is Y_t^0.09=0.0005685-0.5270Y_(t-1)^0.09+Y_(t-1)^0.09+0.5270Y_(t-2)^0.09+0.9921e_(t-1)+e_t.
Pemodelan Matematika Penyebaran Penyakit Toksoplasmosis dengan Pengaruh Vektor
Risman, Junero;
Rosha, Media
Journal of Mathematics UNP Vol 7, No 4 (2022): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v7i4.13882
Toxoplasmosis is a sickness as a result of the parasite Toxoplasma gondii, which can attack humans and animals, especially cats. The reason for this investigation is to discover the model, the results of model analysis, and an interpretation of the results of a mathematical model analysis of the spread toxoplasmosis by vector effects. The strategies used on this take a look at are descriptive. A mathematical model of the spread toxoplasmosis by vector influence takes the form of a nonlinear system of equations consisting of eight nonlinear equations. Analysis results of a mathematical model with two fixed points, a disease-free fixed point and a diseased fixed point. Each is asymptotically stable, subject to several conditions. The resulting baseline reproductive numbers indicate that the disease is becoming epidemic as the horizontal transmission rate and transmission rate from the latent population to the infected population within the vector increase.