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JURNAL ILMIAH MATEMATIKA DAN TERAPAN
Published by Universitas Tadulako
ISSN : 18298133     EISSN : 2450766X     DOI : -
Core Subject : Education,
Mathematics
Jurnal Ilmiah Matematika dan Terapan adalah Jurnal yang diterbitkan oleh Program Studi Matematika FMIPA Universitas Tadulako. Jurnal ini menerbitkan artikel hasil penelitian atau telaah pustaka bersifat original meliputi semua konsentrasi bidang ilmu matematika dan terapannya, seperti analisis, aljabar, kombinatorika, matematika diskrit, statistika, dan semua aspek terapannya.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 307 Documents
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PENANGANAN PRODUKSI BUAH PISANG PASCA PANEN MELALUI MODEL PENGENDALIAN GAS ETILEN Dafri, M; Ratianingsih, R; Hajar, Hajar
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (617.194 KB) | DOI: 10.22487/2540766X.2018.v15.i2.11351

Abstract

Bananas is a kind of fruit that has many benefits and economic value. However, because it is perishable, an unappropriate post-harvest handling will decreasing the economic value. Many factors affect the ripening of bananas, one of it is ethylene gas. The ethylene gas that contained in the banana flows from the higher concentration to the lower one. The flow should be controlled in order to make it decaying properly. Temperature is a parameter that affects the flow of ethylene. This research offers storage temperature regulation such that the life time of banana could be extended. A mathematical model that represents the ethylene flow among the subpopulations is discussed. The population are devided into sub-population of unripe bananas, normal ripe bananas, ripe bananas wounds, and rotten bananas. The Stability of the model is evaluated in the critical point by Jacobian matrix and the Routh Hurwitz Criteria. The control is design by minimizing the temperature parameters using the Pontryagin Minimum Principle. Simulation is ilustrated in four cases, the firts case is no bananas wound initially, second case is no bananas rot initially, third case is no ripened normal bananas initially, and the fourth case is the bananas ripe initially exiting. The simulations shows that before controling the temperature, in the amount of 120 bananas of firts case, the proces is condcuted in sixteen days, ten days for the second case, nine days for the third case, and eight days for the fourth case. After controling the temperature, for some amount of bananas of firts case, the proces is conduted in seventeen days, eleven days for the second case, ten days for the third case, and nine days for the fourth case.
OPTIMALISASI BIAYA TRANSPORTASI PENDISTRIBUSIAN KERAMIK MENGGUNAKAN MODEL TRANSPORTASI METODE MODIFIED DISTRIBUSITION (STUDI KASUS : PT. INDAH BANGUNAN) Ayulinansyah, S; Jaya, A I; Sahari, A
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (513.786 KB) | DOI: 10.22487/2540766X.2018.v15.i2.11352

Abstract

This study was conducted to obtain optimal costs of transportation in the distribution of Ceramics at PT. Indah Bangunan Palu. This research is carried out by several steps such as: making the model transportation of obtained the data, determining the initial solution by the method of Least cost, and finding the optimal solution with Modified Distribution (MODI) method. The research results showed that an initial solution is 𝑅𝑝. 53.919.000 and the optimal solution is 𝑅𝑝. 53.756.000. On the other hand the transportation cost from the company before optimization is 𝑅𝑝. 62.126.000. This indicates that PT. Indah Bangunan Palu can optimize the costs of transport for the distribution of ceramics on September 2016 with a cost savings of 𝑅𝑝. 8.370.000 or 13%
OPTIMALISASI BIAYA DAN WAKTU PELAKSANAAN PROYEK PEMBANGUNAN PERUMAHAN CITRALAND PALU MENGGUNAKAN METODE PROGRAM EVALUATION AND REVIEW TECHNIQUE (PERT) – CRITICAL PATH METHOD (CPM) Wardani, N M E; Musdalifah, S; Lusiyanti, D
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (492.976 KB) | DOI: 10.22487/2540766X.2018.v15.i2.11353

Abstract

This study aimed to optimize the cost and time of implementation of development projects in residential homes Citraland located in the town of Palu subdistrict villages Mantikulore Tondo. Completion of construction of residential houses has been delayed time of completion of the construction. This leads to greater costs incurred in development projects. Therefore, to solve these problems is necessary to analyze the optimization of project time to determine how long a project is completed. Optimization of costs and project execution time is calculated using the Critical Path Method (CPM). The method is based on the results obtained, namely the normal completion time of the project for 69 weeks with a total cost of Rp. 297,887,212.00. Aftertime optimization through crashing eachthe implementation of the activities of the development to 48 weeks with a total cost of Rp. 350,261,175.00. The probability of completion of project design development using methods Program Evolution and Review Technique (PERT) is great opportunity to complete the project work for 48 weeks amounted to 93.19%
OPTIMALISASI KEBUTUHAN GIZI PADA MENU MAKANAN IBU HAMIL ANEMIA MENGGUNAKAN METODE BRACH AND BOUND (Studi Kasus di Kecamatan Ampana Tete Kabupaten Tojo Una-Una Provinsi Sulawesi Tengah) Zulhajrah, Zulhajrah; Jaya, A I; Sahari, A
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (433.219 KB) | DOI: 10.22487/2540766X.2018.v15.i2.11354

Abstract

Anemia in pregnancy is a common problem because it reflects the value of socio-economic welfare of society and has had enormous influence on the quality of human resources. Settings menu maternal anemia is an effort to maintain the condition of pregnant women with anemia. This study aims to obtain optimal value nutritional needs of pregnant women anemia in Ampana Tete District of Tojo Una-Una Central Sulawesi province by using the branch and bound method. The parameters used in this study are the type of staple foods (𝑥1 ), the type of vegetable(𝑥2 ), types of fruit(𝑥3 ), types of side dishes(𝑥4 ), green beans(𝑥5 ), and milk(𝑥6 ), Results show 1st, 2 nd, and 3 rd of 36 combinations known to the most optimal combination for all trimester is a combination of 14. For the first trimester are as many as rice, 348 g spinach were 116 g,chicken eggs as 482 gmuch,and green beans 138 g, at a cost of 𝑅𝑝. 15680,00, 2nd trimester is as much as rice, 381 g spinach amount to 167 g, chicken 690 g eggs, and green beans as much as 154 g and of milk 3 g at a cost of 𝑅𝑝 20498,50, and the third trimester is rice, 345 g spinach, 127 g, chicken 914 g eggs, and green beans 176 g, at a cost of 𝑅𝑝. 24086.00 per day. The analysis has not been as expected because one of the drawbacks is the use of linear programming linearity as sumption that sometimes does not correspond to reality.
PENGATURAN PERSEDIAAN BERAS DI PERUM BULOG DIVRE SULTENG DENGAN METODE ECONOMIC ORDER QUANTITY (EOQ) Nildawati, Nildawati; Ratianingsih, R; Sahari, A
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (681.258 KB) | DOI: 10.22487/2540766X.2018.v15.i2.11355

Abstract

Perum BULOG of Central Sulawesi Division is a national rice logistic company that its responsibility is to guarantee the sufficiency to meet the rice needs. Perum BULOG also responsible to keep rice price stability. One of the rice price component is the inventory costs that need to be managed. In this research the management is refered to the rice scheme demand of four storages, that are Olaya, Lawanga, Jaya Kencana Toili and Galang. This study uses EOQ (Economic Order Quantity) that consist of five priorities, that are determining the of economical order, determining the amount of safety stock, determining the maximum inventory quantities, determining the reorder point and determining total inventory cost. The results showed that the number of economical order storage of Olaya is 1.817.120,57 kg/message, Lawanga is 1.893.400,78 kg/message, Jaya Kencana Toili is 1.575.543,38 kg/messages and Galang is 1.578.742,75 kg/message. The total Inventory Security for Olaya is 32.371,28 kg, Lawanga is 41.020,07 kg, Jaya Kencana Toili is 30.630,61 kg, and Galang is 57.307,99kg. The maximum inventory for Olaya is 1.849.491,85 kg, Lawanga is 1.934.420,85 kg, Jaya Kencana Toili is 1.606.173,99 kg, and Galang is 1.636.050,74 kg. The reorder point is proposed when rice stock of Olaya reaches 323.664,52 kg, Lawanga reaches 357.282,87 kg, Jaya Kencana Toili reaches 249.620,29 kg and Galang reaches 277.188 kg. The total inventory cost that use Economic Order Quantity is Rp. 2.507.626,39 for Olaya, Rp. 2.612.893,07 for Lawanga, Rp.2.174.249 ,87 for Jaya Kencana Toili, and Rp 2.178.665,00 for Galang. The Efficiency cost of rice supplies BULOG Division is Rp.40.405,29 for Olaya, Rp. 719.256,02 for Lawanga, Rp. 51187.63 for Jaya Kencana Toili, and Rp. 153.528,73 for Galang. These result gives greatest efficiency at the cost of supplies of Perum BULOG Division Central Sulawesi for Lawanga 22% as much.
SISTEM SEDERHANA UNTUK MEMPREDIKSI RISIKO PEMBERIAN KREDIT Lusiyanti, D; Nacong, N
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (394.101 KB) | DOI: 10.22487/2540766X.2018.v15.i2.11360

Abstract

Credit risk prediction is very beneficial for the bank or financing institution in making credit decisions. In the decisionmaking, a decision maker in a banking must be able to take the right decision to accept or reject the credit application. If the decision maker is right in making a decision, then the bank will get customers who support the health and sustainability of the banking business, and vice versa. In this study, Support Vector Machien (SVM) is implemented to predict the crediting risk. The data used is data obtained from one of the financing institutions. By using different activation functions, 80.9524% accuracy is obtained or there are 51 precisely predictable data from 63 existing data
PERBANDINGAN KINERJA KLASIFIKASI SUPPORT VECTOR MACHINE (SVM) DAN REGRESI LOGISTIK BINER DALAM MENGKLASIFIKASIKAN KETEPATAN WAKTU KELULUSAN MAHASISWA FMIPA UNTAD Utami, I T
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (650.82 KB) | DOI: 10.22487/2540766X.2018.v15.i2.11361

Abstract

Evaluasi kinerja klasifikasi dapat ditentukan berdasarkan persentase besarnya kesalahan klasifikasi (misclassification rate atau MCR). Penelitian ini bertujuan membandingkan kinerja klasifikasi ketepatan waktu kelulusan mahasiswa FMIPA UNTAD dengan menggunakan metode support vector machine dan regresi logistik biner. Hasil penelitian diperoleh bahwa kesalahan klasifikasi dengan menggunakan metode Support Vector Machine (SVM) dan regresi logistik biner masing-masing sebesar 16.84% dan 19.3%. Berdasarkan perbandingan kinerja kedua metode tersebut, metode dengan kesalahan klasifikasi terkecil adalah metode Support Vector Machine. Metode tersebut dapat digunakan untuk mengklasifikasikan ketepatan waktu kelulusan mahasiswa FMIPA UNTAD
SIMULASI PENANGANAN PENCILAN PADA ANALISIS REGRESI MENGGUNAKAN METODE LEAST MEDIAN SQUARE (LMS) Tusilowati, Tusilowati; Handayani, L; Rais, Rais
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (430.512 KB) | DOI: 10.22487/2540766X.2018.v15.i2.11362

Abstract

The simulation of handling of outliers on regression analysis used the method which was commonly used to predict the parameter in regression analysis, namely Least Median Square (LMS) due to the simple calculation it had. The data with outliers would result in unbiased parameter estimate. Hence, it was necessary to draw up the robust regression to overcome the outliers. The data used were simulation data of the number of data pairs ( X,Y) by 25 and 100 respectively. The result of the simulation was divided into 5 subsets of data cluster of parameter regression prediction by Ordinary Least Square (OLS) and Least Median Square (LMS) methods. The prediction result of the parameter of each method on each subset of data cluster was tested with both method to discover the which better one. Based on the research findings, it was found that The Least Median Square (LMS) method was known better than Ordinary Least Square (OLS) method in predicting the regression parameter on the data which had up to 3% of the percentage of the outlier.
RANCANG BANGUN APLIKASI STEGANOGRAPHY METODE MINIMUM ERROR LEAST SIGNIFICANT BIT REPLACEMENT (MELSBR) Aprilia, I; Ariyanti, D; Izzuddin, A
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (682.236 KB) | DOI: 10.22487/2540766X.2018.v15.i2.11364

Abstract

Digital data security today is an important part of user because of the increasingly widespread misuse of individuals who can easily open a personal thing. In this case, steganography is a technique that discusses the security of digital data information through the technique of hiding data into other data. Many methods are used in steganography techniques in the process of hiding digital data information. But in this study, the author uses the steganography method based on the insertion of files in the form of files, namely in this case * txt file using the Minimum Error Least Significant Bit Replacement (MELSBR) method with a media storage in the form of 24-bit bitmap files and data that can be inserted in the form of files * txt. The nature of the MELSBR method is to adapt to the local characteristics of the storage medium. In the process of image processing testing researchers use PSNR parameters to determine the quality comparison of digital images before and after processing. The results of this study, concealment and insertion using the MELSBR method with PSNR testing has a greater value so that it can be concluded that the image after processing is getting closer to the cover image.
TEOREMA KONVOLUSI PADA TRANSFORMASI FOURIER FRAKSIONAL QUATERNION SISI KIRI DAN SIFAT-SIFATNYA Wibowo, N H; Musdalifah, S; Resnawati, Resnawati
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 1 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (752.196 KB) | DOI: 10.22487/2540766X.2019.v16.i1.12732

Abstract

Fourier transform (FT) is growing very rapidly and applying in various fields such as analyzing and decomposing signals in the frequency domain. FT has been extended to quaternion algebra known as the Quaternion Fourier Transform (QFT). The purpose of this paper are to formulate the definition and properties of the left sided Quaternion Fractional Fourier Transform (QFFT), to formulate the definition and convolution theorem for left sided QFFT. Firstly, the results showed the formulation of the left sided QFFT definition and some of the properties such as linearity, translation, modulation and scalar. Secondly, its showed the formulation of convolution theorem for left sided QFFT and also the left sided QFFT of conjugate and translation convolution.

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