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Unnes Journal of Mathematics
Published by Universitas Negeri Semarang
ISSN : 22526943     EISSN : 24605859     DOI : https://doi.org/10.15294/ujm
Core Subject : Education,
Mathematics
Unnes Journal of Mathematics (UJM) publishes research issues on mathematics and its apllication. The UJM processes manuscripts resulted from a research in mathematics and its application scope, which includes. The scopes include research in: 1. Algebra 2. Analysis 3. Discrete Mathematics and Graph Theory 3. Differential Equation 4. Geometry 5. Mathematics Computation, 6. Statistics.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 234 Documents
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ANALISIS KESTABILAN TITIK KESETIMBANGAN MODEL MATEMATIKA PROSES TRANSMISI VIRUS DENGUE DI DALAM TUBUH MANUSIA DENGAN TERAPI OBAT HERBAL Juliah, Intan; Supriyono, Supriyono
Unnes Journal of Mathematics Vol 5 No 2 (2016)
Publisher : Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/ujm.v5i2.13122

Abstract

Dengue fever is an infectious diseese caused by the dengue virus. Dengue virus in to the human body through the intermediary of A. Aegypti mosquito bites. In the human body, the virus uses the cell as a medium to poliferate and survive. The presence of viruses in the human body activates the immune respone is T-cell to inhibit the breeding of dengue virus takes too medicinal plants. In this article, the transmission of dengue virus in the human body modeled mathematically, the next will be determined the stability of the equilibrium point of the model. Result of analysis showed that the stability of the equilibrium point of dengue virus depends on the basic reproduction ratio (R0). If R0 < 1 then the equlibrium point is virus free local asymptotically stable, whereas if R0 > 1 then the equilibrium point is endemic will be asymptotically stable local
PERBANDINGAN ALGORITMA BRANCH AND BOUND DAN ALGORITMA GENETIKA UNTUK MENGATASI TRAVELLING SALESMAN PROBLEM (TSP) (Studi Kasus PT. JNE Semarang) Nugroho, Ari Yulianto; Suyitno, Amin; Arifudin, Riza
Unnes Journal of Mathematics Vol 5 No 2 (2016)
Publisher : Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/ujm.v5i2.13123

Abstract

This study examines an optimum solution to the search of Travelling Salesman Problem (TSP). The purpose of this paper is finding the shortest route at PT. Jalur Nugraha Ekakurir (JNE) Semarang on condition that every town is just visited once, except for the beginning address. Branch and bound algorithm dan genetic algorithm, is proposed to solve optimization problems with using Matlab software. Measurement of the effectiveness of the work system is done by comparing the calculation results between the branch and bound algorithm and genetic algorithm which is the best modification. Population size, pc, pm, and the number of generations are used as modifications. The results showed that the length of the resulting circuit using genetic algorithm is smaller than the length of using circuit branch and bound algorithm. This shows that genetic algorithm is more effective in determining the shortest circuit for delivery of goods in PT. Jalur Nugraha Ekakurir (JNE) Semarang
PENERAPAN GRAF PADA PERSIMPANGAN MENGGUNAKAN ALGORITMA WELSH-POWEL UNTUK OPTIMALISASI PENGATURAN TRAFFIC LIGHT Setiawan, Danang Aji; Suyitno, Amin; Arifudin, Riza
Unnes Journal of Mathematics Vol 5 No 2 (2016)
Publisher : Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/ujm.v5i2.13125

Abstract

The purpose of this study are to determine (1) the application of the intersection graph using Welsh-Powell algorithm for optimizing traffic light setting and (2) simulating traffic light settings using Microsoft Visual Basic 6.0. The method used includes several stages, namely data collection, processing and analysis of data, the manufacturing simulation, and conclusion. From the results of the analysis showed that the results of the calculation for the Jerakah intersection no more effective than primary data due at the intersection of the most effective own calculations have been made by DISHUBKOMINFO of Semarang and intersection calculations for STIKES Tlogorejo produce better effectiveness of primary data so that the calculations have been made suitable to be applied to the intersection. Making the simulation to present the case of setting the traffic light at the Jerakah intersection and at the STIKES Tlogorejo intersection in visual form so that the resolution of the easier and shorter, because the duration of the simulation can include a red light, yellow light, and green light by random
SIMULASI JARINGAN JALAN DI KOTA SEMARANG BERBASIS ALGORITMA FLOYD-WARSHALL UNTUK MENANGANI MASALAH LINTASAN TERPENDEK Harsono, Harsono; Mulyono, Mulyono; Suyitno, Amin
Unnes Journal of Mathematics Vol 5 No 2 (2016)
Publisher : Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/ujm.v5i2.13127

Abstract

This study aimes to know the result of simulation program of road network by using Floyd-Warshall algorithm and visual basic programing. This study also aims to prove that the manual calculation is not different with the simulation of road networking in finding the shortest path of a graph. The method include (1) problem identification, (2) study of litetature, (3) data collection, (4) desainning and constructing simulation program, (5) implementasion of simulation, (6) evaluation of simulation program, (7) drawing conclution. Based on road network data of semarang city with is represented in a form of graph and running simulation Floyd-Warshall algorithm which is the result of desainning and creating the program by using visual basic programming. This simulation resulting shortest path for finding from start verteks to destination verteks after represented to simulation program.Based result manual calculation and the simulation Floyd-Warshall algorithm of this graph is not different
HYPER-PARABOLOIDA DALAM RUANG EUCLID BERDIMENSI-N Rahmat, Muhammad Syifaur; Suhito, Suhito; Sutarto, Hery
Unnes Journal of Mathematics Vol 5 No 2 (2016)
Publisher : Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/ujm.v5i2.13128

Abstract

One study in geometry is parabolic and paraboloid. Parabola is the locus of points equidistant from a given point and line. Expansion paraboloida on space n> 3 can be done by working through its analytical properties. Issues raised is how to find and formulate general equation of hyper-paraboloid, hyper-paraboloid tangent plane, and the polar plane of hyper-paraboloid. The purpose of this research is to formulate a general equation-paraboloida hyper, hyper-paraboloida tangent plane, and the polar plane of hyper-paraboloid. The method used is literature. In this study, the authors limit the issues discussed in the hyper-paraboloid centered at O and O’ with a symmetry axis parallel to the coordinate axes as well as the focal point lies on the axis symmetry. Results of this research is the general equation of hyper-paraboloid, hyper- paraboloid tangent plane, and the polar plane of hyper-paraboloid
ESTIMASI MULTIVARIATE ADAPTIVE REGRESSION SPLINES (MARS) PADA INDEKS HARGA SAHAM GABUNGAN (IHSG) Asriani, Elisa Desi; Sugiman, Sugiman; Hendikawati, Putriaji
Unnes Journal of Mathematics Vol 5 No 2 (2016)
Publisher : Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/ujm.v5i2.13130

Abstract

The purpose of this study is to know: (1) a estimation best MARS on CSPI with criteria GCV; (2) importance predictors variables against the model best obtained. Variabels affecting Composite Stock Price Index (CSPI) are inflation, interest rate, exchange rate the Rupiah againts the u.s.dollar, Dow Jones index, Nikkei 225 index, and Hang Seng index. MARS model is derived by combination of BF, MI, and MO through trial and error. MARS method on CSPI because nonparametric and high dimention is data has variabels predictors from 3 to 20 and data sampel from 50 to 1000. The analysis MARS method on CSPI with do testing parameters of regression nonparametric model, standaritation, and The results estimation MARS best on CSPI is BF=18, MI=1, and MO=1, GCV minimum is 0,05640. Predictors variables that were significans are inflation; exchange rate the rupiah againts the US$; Dow Jones index; interest rate; and Nikkei 225 index with contributions of importance are 100%; 86,54114%; 84,31259%; 38,18755%; and 32,75410%.
ANALISIS INTERVENSI FUNGSI STEP PADA HARGA SAHAM (STUDI KASUS SAHAM PT FAST FOOD INDONESIA Tbk) Sari, Ratna Novita; Mariani, Scolastika; Hendikawati, Putriaji
Unnes Journal of Mathematics Vol 5 No 2 (2016)
Publisher : Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/ujm.v5i2.13131

Abstract

The analysis of the intervention is analysis a time series data that is affected by events outside the control of which may result in a change in the time series. Intervention analysis is used to analyze the data time series data of known intervention time. The main objective of this research is to determine the best intervention model on price of stock data PT Fast Food Indonesia Tbk period December 2013-January 2014, so the best forecasting method can be used to predict price of stock data PT Fast Food Indonesia Tbk for the next period with the help of SAS software program. Based on the analysis of the obtained the best intervention model that is a model of ARIMA (2,4,2) with the order of b = 20, s = 5, r = 0. The model of forecasting results obtained with the model of the step function intervention shows that the value of his predictions are within the threshold interval 95% confident with the results of the Eastern 70.82, MSE amounting to 386.94, and the RMSE of 19.671. So the forecast results can be used to estimate the daily price of stock data PT Fast Food Indonesia Tbk on 23 January 2014 to 20 February 2014 post intervention due to the occurrence of a policy dividend that caused significantly decreased just around the time the intervention only.
PEMODELAN MATEMATIKA EPIDEMI INFLUENZA DENGAN MEMPERHATIKAN PELUANG KEBERHASILAN VAKSINASI DAN KEKEBALAN TETAP Aulia, Nisa; Kharis, Muhammad; Supriyono, Supriyono
Unnes Journal of Mathematics Vol 5 No 2 (2016)
Publisher : Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/ujm.v5i2.13132

Abstract

This study reviews about a mathematical model for influenza epidemic. The mathematical model used is in the form of SIR epidemic models.This model considerates the factors of vaccination as a prevention of influenza diseases spread and immunity remains of each person who has recovered from the disease. In this research, it is conducted the study concerning the mathematical model of influenza epidemics by considering the chances of vaccination success and immunity remains, analysis of equilibrium and stability of the model, as well as model simulation and interpretation of model behavior. The method used is literature review, laboratory studies and analysis. The first step in this research is to determine the problem, formulate the problem, literature review, analysis and problem solving as well as the conclusion. As the results, it is obtained a model with four variable and nine parameters. From the model obtained an equilibrium point that is disease free equilibrium point which is stable asymptotically on R0 < 1 and unstable on R0 > 1. Furthermore, It is concluded that there is no possibility of widespreadoutbreaks and a geometric overview is given in the form of simulation with Maple 12 program.
PENERAPAN ALGORITMA DIJKSTRA DAN FLOYD-WARSHALL UNTUK MENENTUKAN RUTE TERPENDEK TEMPAT WISATA DI BATANG Marlina, Leni; Suyitno, Amin; Mashuri, Mashuri
Unnes Journal of Mathematics Vol 6 No 1 (2017)
Publisher : Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/ujm.v6i1.13544

Abstract

Fasilitas petunjuk arah menuju tempat-tempat wisata di Batang sangat minim, sehingga para wisatawan kesulitan mencari rute yang efisien menuju tempat-tempat wisata tersebut. Permasalahannya adalah bagaimana menentukan rute terpendek tempat wisata di Batang menggunakan algoritma Dijkstra dan Floyd-Warshall. Tujuan penelitian ini adalah untuk menemukan penyelesaian dari penerapan algoritma Dijkstra dan Floyd-Warshall dalam menentukan rute terpendek dari stasiun/terminal di Batang menuju ke tempat wisata di Batang. Langkah-langkah dari penelitian meliputi (1) membuat graf berbobot rute tempat wisata di Batang, (2) menemukan penyelesaian dari penerapan algoritma Dijkstra, (3) menemukan penyelesaian dari penerapan algoritma Floyd-Warshall, (4) menentukan rute terpendek yang direkomendasikan. Berdasarkan hasil penelitian diperoleh 27 rute terpendek di mana 25 rute adalah sama dan terdapat 2 rute yang berbeda. Rute yang berbeda tersebut yaitu (1) rute terpendek dari Terminal Banyuputih ke Tubing Pandansari dan (2) rute terpendek dari Terminal Banyuputih ke Bandar Ecopark. Dapat disimpulkan bahwa algoritma Dijkstra lebih tepat untuk digunakan dalam menentukan rute terpendek tempat wisata di Batang.
KETEPATAN KLASIFIKASI DENGAN MENGGUNAKAN METODE MULTIVARIATE ADAPTIVE REGRESSION SPLINE (MARS) PADA DATA KELOMPOK RUMAH TANGGA KABUPATEN CILACAP Anam, Saroful; Sugiman, Sugiman; Sunarmi, Sunarmi
Unnes Journal of Mathematics Vol 6 No 1 (2017)
Publisher : Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/ujm.v6i1.13638

Abstract

Groups of households based on per capita expenditure is composed of two groups of poor households and non-poor households, to separate individuals or objects into a group so it can be located ata particular group can use the method of classification. The purpose of this study was to determine the classification results and errors in the results classification of households in Cilacap district based on the factors affecting the level of poverty in Cilacap with methods Multivariate Adaptive Regression Spline (MARS). MARS is a nonparametric regression method that can be used for high-dimensional data is. To get the best MARS models, do a combination of value Basis Function (BF), Maximum Interaction (MI), and the Minimum Observation (MO) by trial and error. The best model is the model that is used in combination with BF = 45, MI = 3, MO = 1 because it has the smallest value that is equal to 0,030 GCV. Based on the variables that affect groups of households in Cilacap, the result of classification of 37 households with poor category, 34 households appropriately classified as poor, while one 3 households are classified as poor. Likewise, of the 113 households with non-poor category, 113 households appropriately classified into the category of not poor, and no household misclassified into the household with non-poor category. Retrieved classification accuracy of 98.00% of the value of Apparent Error Rate (APER) at 2.00% and the Press's Q test showed that statistically MARS method has been consistent in classifying the data. So as to further research on the classification suggested using the method MARS, by looking at the value of the smallest GCV and GCV value if they have the same smallest it can be seen with the smallest MSE value judgment.

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