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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 12 Documents
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Search results for , issue "Vol. 17 No. 1 (2020)" : 12 Documents clear
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.
Model Matematika Kendali Optimal Intensitas Cahaya Dan Nutrisi Pada Pertumbuhan Mikroalga Dengan Menggunakan Metode Pontryagin Azim; Ratianingsih, R; 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 (687.429 KB) | DOI: 10.22487/2540766X.2020.v17.i1.15173

Abstract

Microalgae are the most primitive plant-sized cellular organisms commonly known as phytoplankton. The habitat of its life is in waters or humid places. This organism is a primary producer of water that has any capability to photosynthesis like any other high-level plants. This study examines mathematically the optimal control of light intensity and liquid waste nutrition in microalgae growth. Growth liter is done by setting the intensity of light in the process of glucose formation and nutrition tofu liquid waste, tapioca, industry, and households as the additional nutrients of microalgae. The Pontryagin maximun principles is used to determine the optimal control solution. The solution is solved from the state and co-state equation that stationery evaluated using the indexed performance maks 𝐽[𝑢1 + 𝑢2 ] = ∫ 𝐺(𝑡) − 𝑡𝑓 𝑡0 𝑆(𝑡) − 1 2 𝑢1 (𝑡) 2 − 1 2 𝑢2 (𝑡) 2𝑑𝑡 with the stationer condition that gives the optimal control 𝑢1 ∗ = 𝛾2𝛼2𝑄𝐵 and 𝑢2 ∗ = −𝛾5𝜌1𝑆. The results shows that before the optimal control of light intensity and nutrition of liquid waste is applied, the concentration of microalgae biomass becomes 5.915 g / liter on the 20th day stayed at the 105th day. The lipid quota with an initial value of 0.6 g/liter will decrease to 0.2 g / liter at 4th day which is the equilibrium point. Optimal control of the regulation of light intensity of 2-9 klux and liquid waste nutrition provided a significant increase in the amount of microalgae biomass and lipid quota, with the regulation of light intensity of 2- 9 klux and tofu liquid waste nutrition which gave the largest increase in the amount of microalgae biomass and lipid quota
Kestabilan Model Matematika Infeksi Primer Penyakit Varicella Dan Infeksi Rekuren Penyakit Herpes Zoster Oleh Virus Varicella Zoster Hardiyanti; Ratianingsih, R; Hajar
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 (725.899 KB) | DOI: 10.22487/2540766X.2020.v17.i1.15180

Abstract

Varicella and herpes zoster are two infectious skin diseases of human that caused by varicella zoster virus, where varicella disease is a primary infection that often infected younger people while herpes zoster disease is a recurrent disease that often infected older people because of reactivation of latent varicella-zoster virus. If the pain caused by herpes zoster after recurrent phase is a appeared then the condition is known as postherpetic neuralgia. This study builds a mathematical model of primary infection (varicella disease) and recurrent infection (herpes zoster disease) developed from the SIR model (Susceptible, Infected, Recovered). The human population is divided into seven subpopulations, namely susceptible, infection, recovered of varicella, herpes zoster and postherpetic neuralgia subpopulation. Stability analysis at the critical point by linearization method gives a critical point 𝑇1 that guaranted to exist and unstable if 𝛼 𝜇(𝛽1+𝜇) 𝐴 , while the critical point 𝑇1 does not have any reqruitment. Stability analysis at the endemic disease-free critical point is represented 𝑇1 that will be unstable if 𝑇2 exist and stable 𝑇1 if 𝑇2 exist. Numerical simulations by simulated to describe such temporary disease-free conditions and an endemic stable conditions.
Implementasi Metode K-Nearest Neighbor Untuk Mengklasifikasi Jenis Penyakit Katarak Safaat, M; Sahari, A; Lusiyanti, D
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 (599.389 KB) | DOI: 10.22487/2540766X.2020.v17.i1.15184

Abstract

The eyes is one of the five senses that are very important for humans that are used to see the beauty of nature and interact with the environment properly. If the eyes has a problems or diseases, it will be very severe. One of the disorders in the eye is cataract. Cataract if allowed, it will get worse for the sufferer. Therefore, the accuracy of determining the type and layout of early cataract is very important to prevent the more severe effects of cataract. One way to find out early on the type of cataract is by using the mathematical approach to data mining, namely the K-Nearest Neighbor (KNN) method. The concept of the KNN method is to find the nearest neighbor and choose the majority of the classes in the cluster. In this study, the system classified cataract types based on the symptoms experienced by cataract patients at Anutapura Palu Hospital whose research data was obtained from January 2018-March 2018 which amounted to 170 data. The results of this study indicate the accuracy of the KNN method for 170 data at 91.76% Keywords : Cataract, Classification, K-Nearest Neighbor (KNN)
Representasi Unitar Tak Tereduksi Grup Lie Dari Aljabar Lie Filiform Real Berdimensi 5 Kurniadi, E
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 (519.032 KB) | DOI: 10.22487/2540766X.2020.v17.i1.15185

Abstract

In this paper, we study a harmonic analysis of a Lie group of a real filiform Lie algebra of dimension 5. Particularly, we study its irreducible unitary representation (IUR) and contruct this IUR corresponds to its coadjoint orbits through coadjoint actions of its group to its dual space. Using induced representation of a 1-dimensional representation of its subgroup we obtain its IUR of its Lie group

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