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INDONESIA
JURNAL ILMIAH MATEMATIKA DAN TERAPAN
Published by Universitas Tadulako
ISSN : 18298133     EISSN : 2450766X     DOI : -
Core Subject : Education,
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.
Articles 307 Documents
Klasifikasi Pasien Kanker Payudara Menggunakan Metode Rough Set M Rifai; Musdalifah, S; Lusiyanti, D
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 2 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (700.086 KB) | DOI: 10.22487/2540766X.2019.v16.i2.14991

Abstract

ABSTRACTBreast cancer is a condition where the cell has lost control and its normal mechanism, so that abnormal growthoccurs quickly and uncontrollably that occurs in breast tissue. The basic thing that needs to be known about thecancer is the stage, so that the handling of the patient can be done correctly. In determining the cancer stage Union for International Cancer Control (UICC) uses several indicators, namely, the primary tumor which describes the size of the tumor and the expansion of the tumor to the chest wall, involvement of lymph nodes around the breast and distant metastases to other organs. Therefore, it is necessary to have a decision support system application that aims to classify cancer patient data based on the Stadium. One classification method that looks for the Decision Rule is the Rough Set. Basically this Rough set method is a decision-making method that is used to find a pattern from the data set that is processed. So that a pattern / rule can be obtained that can be used as a reference in decision making. In this study the pattern obtained as many as 16 will be entered into the Net-Bean software with java language so that it becomes a decision support system, then the system will be tested using 135 test data From these tests, namely by comparing the actual data with the results obtained from the decision support system application. So, the accuracy is 100%.Keywords : Classification, Breast Cancer Stadium, Rough Set.
Penerapan Sistem Antrian Sebagai Upaya Mengoptimalkan Pelayanan Pembayaran Pajak Kendaraan Bermotor Di Kantor Samsat Kota Palu Serlyng; Jaya, A I; Sahari, A
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 2 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (652.35 KB) | DOI: 10.22487/2540766X.2019.v16.i2.14992

Abstract

ABSTRACTOne phenomenon that often occurs in daily life is a queue phenomenon. When queue is too long, it will harm the customer, therefore improving system servicing and optimizing the number of servers expected to reduce the queue, so the process of waiting does not happen too long. In the process of payment of motor vehicle tax at SAMSAT Palu City, it has been known that the queuing system using model Multi Channel- Multi Phase. Thissystem occurs if there are two or more facilities serving with services more than one phase. The ains of thisreseareh are to determine the characteristics of quene system and to know the number of person that required in the process of rehiele tax payment so that the service becomes optimal. The results stated that each phases of 1,2,3 and 4 is consist of 2 person, and motor vehicle tax payment servises in SAMSAT Palu is 108,9 minutes forone customer. Once optimized, an alternative solution to queue problem in SAMSAT Palu city is added person.The addition of 3 person at phase 1, 4 person phase 2, 5 person at phase 3 and phase 4. Will shorten the queuelength from (108,9) minutes to (29,76) minutes for one customer.Keywords : Model Multi Channel- Multi Phase, Samsat Queue.
Modifikasi Teorema Konvolusi Transformasi Kanonikal Linier Quaternion Sisi Kiri Oktaviana, W; Musdalifah, S; Resnawati
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 2 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (523.772 KB) | DOI: 10.22487/2540766X.2019.v16.i2.14993

Abstract

ABSTRACTQuaternion Linear Canonical Transform (QLCT) is a generalization of the Linear Canonical Transform (LCT) onquaternion algebra which plays an important role in optics and signal processing. QLCT can be seen asgeneralization of Quaternion Fourier Transform (QFT). Based on the fact, this paper propose the formulat ofmodification convolution theorem based on left-sided QLCT by considering the fundamental relationship betweenleft-sided QLCT and QFT. The results showed the modification convolution theorem for left-sided QLCT based onrelationship between left-sided QLCT and QFT as a sum of multiplication of left-sided QFT can be derived.Keywords : Convolution Theorem, Quaternion Fourier Transform, Quaternion Linear Canonical Transform
Penentuan Rute Terpendek Pendistribusian Tabung Gas Lpg 3 Kg Pt. Fega Gas Palu Pratama Menggunakan Algoritma Tabu Search Riswan; Sahari, A; Lusiyanti, D
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 2 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (594.128 KB) | DOI: 10.22487/2540766X.2019.v16.i2.15004

Abstract

ABSTRACTDistribution is one of the important tools in the company business activities. The problem that is often occurred indistribution is the determination of the shortest route. The purpose of this study is optimitation distribution route of3 kg LPG gas cylinders which is carried out by PT. Fega Gas Palu Pratama in Palu City, considering that thiscompany has not used a particular method in determining the distribution route of 3 kg LPG gas cylinders. Themethod used in this study is the Tabu Search algorithm. The algorithm of the Tabu Search method are of follows,first by determine the initial solution using the closest Nearest Neighbor, determine alternatives by exchange 2points in the solution, evaluate alternative solutions, determine a new optimum solution, update the Tabu List, thenwhen the termination criteria are obtained then the Tabu Search algorithm will stop otherwise it will revert toexchanging 2 points evaluation. The process of calculating the Tabu Search algorithm is conducted manually andbuilt using MATLAB. Based on the research that has been done, it is obtained that the shortest, more efficient routeis 21.91 km which has reduction of 7.26 km from the initial route 29.17 km.Keywords : Algorithm Tabu Search, Distribution, Shortest Route.
Model Matematika Pengendalian Penyebaran Penyakit Schistosomiasis Menggunakan Itik Sebagai Musuh Alami Bagi Keong Perantara Schistosomiasis Karini, I; Ratianingsih, R
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 17 No. 1 (2020)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1062.642 KB) | DOI: 10.22487/2540766X.2020.v17.i1.15163

Abstract

In Indonesia Schistosomiasis is only found in Central Sulawesi Province, in the highlands of Lindu, the Napu plateau and the Bada plateau, Poso Regency. The disease is caused by the Schistosoma japonicum worm which requires an intermediary host, namely the Oncomelania hupensis lindoensis snail, which is an endemic animal in the area. This study examined mathematically the control of the spread of Schistosomiasis by using ducks as natural enemies for intermediate snails. The human population is divided into vulnerable human subpopulations and a subpopulation of infected humans. Interactions between snail populations and duck populations are expressed as interactions between Predator and Prey. The Schistosoma japonicum worm population is seen as a population growth cycle model. The stability of the model is analyzed using the Jacobi matrix, which is evaluated at a critical point. The model has two critical points 𝑇1 and 𝑇2 which represent a disease-free conditions, while 𝑇3 represents endemic point. Mathematical model simulations controlling the spread of Schistosomiasis. The simulation is using ducks with early populations indicate that disease control by using ducks is less effective because it takes a very long time to be estimated at 55 years. Keywords : Conch Oncomelania Hupensis Lindoensis, Duck, Schistosomiasis, Schistosoma Japonicum Worm.
Penyelesaian Vehicle Routing Problem Untuk Efisiensi Rute Pendistribusian Produk Minuman Teh Pucuk Harum Menggunakan metode Saving Matriks Studi Kasus (PT. Cipta Niaga Semesta Palu) Putrafi, R; Sahari, A
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 17 No. 1 (2020)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (529.871 KB) | DOI: 10.22487/2540766X.2020.v17.i1.15164

Abstract

Vehicle Routing Problem Is a Problem related to the route of product distribution to the consumers. With the existence of these problems a company is expected to seek away a way so that the distribution process can arrive on time to scattered consumers and obtain more efficient routes and costs. Therefore a method which can help the process of scheduling a good route and obtaining optimum costs and efficient delivery was used. One of the methods used was Saving Matrix, which in its operation could efficient the delivery route so that the minimum total distance was obtained. The company's actual mileage was greater than the distance travelled by the route after using the Saving Matrix method. The total difference in distance produced was 106,35 km or more saving 41,2 % from the actual distance of the company and using Saving Matrix could save the distribution costs of Rp. 5.687.640 or save 33,8 % of the cost before applying the method.
Prediksi Pendonor Darah Potensial Menggunakan Algoritma Learning Vector Quantitation (LVQ) (Studi Kasus : Unit Transfusi Darah PMI Kota Palu, Sigi Dan Donggala) Susiani, N K; Jaya, A I
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 17 No. 1 (2020)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (800.597 KB) | DOI: 10.22487/2540766X.2020.v17.i1.15165

Abstract

Potential blood donors are blood donors who can donate their blood back after success through 2 stages of blood donation such as the physical health test (active) and the screening test (laboratory test). The purpose of this study are to obtain an application that can be used to predict potential blood donors who will donate their blood back at the PMI Palu, Sigi and Donggala Blood Transfusion Units, and to obtain their level of accuracy using the Learning Vector Quantitation algorithm. This prediction application for potential blood donors makes it easier for the public to know whether they can donate their blood or not. Classification is done using 300 data consisting of 70% training data and 30% testing data. The data used in this study are data taken in 2018. The accuracy of the best weighting in stage 1 is 95.56% obtained using the training rate (α) of 0.1≤α≤0.25 and the rate reduction training (decα) which is varied. While the best weighting results in stage 2 have an average accuracy rate of 100% obtained by using a training rate (α) of 0.000001≤α≤0.5 and a reduction in the rate of training (decα) which varies.
Mengkaji Perputaran Uang Bank Melalui Model Kaldor-kalecki: Tinjauan Numerik Untuk Sistem Kartu Kredit Sehani, A; Ratianingsih, R; Puspita, J W
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 17 No. 1 (2020)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (618.945 KB) | DOI: 10.22487/2540766X.2020.v17.i1.15166

Abstract

Credit Card is a card payment instrument, where the cardholder's payment obligation is firstly fulfilled by the acquirer or publisher which use third party funds in the form of investments to pay the obligation payment of cardholder. These investment funds are managed as the initial fund of credit card customers. Some of the generated profits could be saved as bank deposits, while others are used for joint capital investment funds. The preview description shows the circulation of bank deposit of the credit card system which mathematically corresponds to the concept represented by Kaldor-Kalecki model. The aims of this study is that money circulation process is represented numerically by such model solution using the Runge-Kutta method. The interpretation of the numerical solution of the Kaldor-Kalecki model of the credit card system is simulated for Bank Mega's financial report data in 2017, the results shows that Bank Mega was found a decline of the number of credit card production. It could be said that the numerical solutions well represented the condition of the credit card system issued by Bank Mega. Negative values of numerical solution also reviews as period of the Bank investment
Analisa Pengendalian Persediaan Sepatu Pada PT. Buccheri Indonesia Menggunakan Metode Economic Order Quantity Sretiani, N K; Jaya, A I; Nacong, N
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 17 No. 1 (2020)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (478.967 KB) | DOI: 10.22487/2540766X.2020.v17.i1.15170

Abstract

PT. Buccheri Indonesia is a company engaged in the sale of shoes, sandals and bags. These days the high level of competition in the shoes and sandals industry makes every manufacturer of shoes and sandals must pay close attention to market changes. Inventory is the most important thing in a company and has an important influence on business functions, especially the operational functions of marketing, which includes ordering costs and storage costs, so inventory optimization is needed. In this study, the author uses the Economic Order Quantity method to optimize shoes inventory. This study aims find to are out the point of reorder, order frequency, and comparison between company policy and Economic Order Quantity method. PT. Buccheri Indonesia stipulates the number of orders on each time order is 5,943 pairs of shoes, with the frequency of ordering 48 times/year, and the inventory’s total cost is Rp.406,843,938. While using the Economic Order Quantity method the number of orders on each time is 7,214 pairs of shoes, the frequency ordering 39 times/year, and the inventory’s total cost is Rp.396,776,965.06. So, the difference cost of company policies and by using the Economic Order Quantity method, is Rp.10,066,972.94,-
Optimalisasi Persediaan Bahan Bakar Solar Pada PT. Macindo Mitra Raya Dengan Metode Economic Order Quantity (EOQ) Rizanjani, M E; Sahari, A; Andri
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 17 No. 1 (2020)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2020.v17.i1.15172

Abstract

PT. Macindo Mitra Raya is a type of diesel oil (BBM) industrial company that supplies diesel fuel to full fill industrial nesercity, where one of the prices of diesel is the cost of inventory that needs to be managed. This study aims to determine the total cost of diesel fuel type inventories and determine the amount of stock of diesel fuel that is economical at PT. MACINDO MITRA RAYA through the Economic Order Quantity (EOQ) method. To calculation the number of economical orders, the formula √ 2𝐷𝑆 𝐻 is used. Then to determine the total fuel inventory cost, the formula √2𝐷𝑆𝐻 is used where D is the annual fuel order, S as the order ordering cost and H as the total ordering cost per message. From the results of the study indicate that the economical order for PT.Macindo Mitra Raya is 48,814.07 liters and the amount of inventory costs is Rp. 1,199,039,533. From the results obtained from the research conducted it has implications for the greatest efficiency in the cost of inventory of PT. Macindo Mitra Raya.