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JURNAL ILMIAH MATEMATIKA DAN TERAPAN

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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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MENGKAJI PERILAKU HARGA KOMODITI PANGAN DI KOTA PALU MENGGUNAKAN METODE BACKPROPAGATION Peole, I N; Ratianingsih, R; Lusiyanti, D
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 1 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Artificial neural network is an information processing paradigm that is inspired by biological neural cell systems, like the brain, that processes information. The purpose of this research is to develop neural networks to predict the price of food commodities using backpropagation method. The research was conducted by using the rate of monthly price of food commodities in Palu from January 2011 - December 2015. The data is used to predict food commodity prices forduring 2016. The backpropagation networks consists of three layers. The first layer of input is constructedin the form of monthly prices of IR 64, ciherang, membramo, cimandi, superwin, sintanur, cisantana, sticky black, sticky white, yellow corn dry, white corn, soybeans, peanuts, green beans, cassava, sweet potato, onion, garlic, red pepper large, red pepper curls, cayenne pepper, cabbage round, potatoes, tomatoes, carrots, cauliflower, beans, onion, avocado, red apples, green apples, oranges, jackfruit, mango, pineapple, papaya, banana, banana horns, rambutan, bark, olive, durian, watermelon, and mangosteen from January â€“ December that consist of 12 variables. One hidden layer consistof five neurons and the other one is the output, that isÂ the food commodity prices. The training process shows that on a maximum iterations on 500, constant learning rate 0,3 and 0,6 momentum, the predictions have 97.92% of level accuracy. The identification resultof food commodity prices behavior in Palu is predicted as follow: IR 64 Rp7.387, ciherang Rp8.182, membramo Rp8.150, cimandi Rp8.131, superwin Rp8.228, sintanur Rp8.660, cisantana Rp8.122, black sticky rice Rp21.383, white sticky rice Rp16.558, dry yellow corn Rp5.983, white corn Rp9.283, soybeans Rp14.600, peanuts Rp20.008, green beans Rp16.375, cassava Rp8.225, sweet potato Rp8. 542, red onion Rp28.550, garlic Rp21.208, red chili Rp27.308, curly red chili Rp23.650, cayenne Rp36.450, round cabbage Rp6.833, Rp12.067 potatoes, tomatoes Rp6.108, carrots 11.000, cauliflower Rp8.625, beans Rp10.333, scallion Rp25.242, avocado 11.000, red apple Rp29.023, green apple Rp31.067, orange Rp6.083, jackfruit Rp23.483, mango Rp11.187, pineapple Rp8.183, papaya Rp10.600, bananas Rp8.481, horn banana Rp2.683, rambutan Rp8.450, barking Rp5.625, tan Rp8.366, durian Rp19.208, watermelon Rp14.528 and mangosteen Rp18.067. It is predicted that the food commodity prices increased monthly.

OPTIMALISASI PENDISTRIBUSIAN BARANG MENGGUNAKAN METODE GOAL PROGRAMMING (STUDI KASUS: PT. WULANTIKA UTAMA) Novrianti, S S; Jaya, A I; Resnawati, Resnawati
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 1 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

PT.Wulantika Utama is one of distributor in Palu who distribute products from factories to retailers. The purpose of this research are to maximize the distribution numbers of trucks and minimize the cost of distribution. Goal Programming is a method that can solve the problem with more than one purpose. Goal Programming model formulation in this study consists of 5 priority and 5 constraint functions. The fifth priority is the storage capacity, the number of trucks used for the distribution of goods to Donggala, Ampana, Poso, and cost targets are minimum distribution. Constraint function consists of inventory in the warehouse, the number of trucks and distribution costs. The results showed that the supply of goods by the warehouse capacity that can fulfiil the necessary distributionÂ product during a month amounted to 14.755 cartons. Optimal distribution for each destination, in Donggala are 8 trucks with a capacity of 250 cartons, Poso are 20 trucks with a capacity of 300 cartons and Ampana are 14 trucks with a capacity of 500 cartons. This result can save distribution costs of Rp.90.993.009 from the previous distribution costsÂ of Rp. 282 602.689.

OPTIMALISASI PENDISTRIBUSIAN BARANG DI PT.SINAR NIAGA SEJAHTERA PALU MENGGUNAKAN METODE GOAL PROGRAMMING Hidaen, B; Jaya, A I; Resnawati, Resnawati
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 1 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

PT.Sinar Niaga Sejahtera isone ofdistributorin Palu who distribute products to a variety of shops. Goal Programming is a method that can solve the problem with more than one purposes. The purposes of this study are Â to maximize the number of the car and minimize the distribution Â cost of Â PT.Sinar Niaga Sejahtera. Goal Programming model formulationin this research consistsof 6 priorities and 6 function constraints. The sixth priorities are,warehous capacity, the number of cars used to the distribution of goods to store Sinar Kasih II,store Cahaya Indah, store Bintang Â Rezeki, store Hi. Abdullah, and a minimum distribution costs. Constraint functions consist of a number of cars and the cost of distribution. The research results showed that the supply of goods by the warehouse capacity that can fulfiil the necessary distribution of goods during the month amounted to 136.93 or 8.628 box Optimal volume distribution of goods in each store are sequentially Sinar Kasih II which is 2 units with a capacity of 4 Â or 252 box, Cahaya Indah 3 units with a capacity of 7 Â or 441 box, Hi. Abdullah 2 units with a capacity of 12 or 756 box and Star 2 cars Rezeki capacity of 4 . This model can save the distribution costs of Rp. 7.127.147 from the previous distribution costs of Rp. 35.000.000.

PERUBAHAN DISTRIBUSI MERKURI (Hg) TERHADAP WAKTU DI SEDIMEN SUNGAI POBOYA Febrianti, I; Ratianingsih, R; Puspita, J W
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 1 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Poboya is illegal gold mining area at Palu City. The amalgamate process of gold extraction is prepared traditionally using mercury. Tailing of this process which contains mercury is throwed away to the ground. The mercury contain will infiltrate to the soil water and later on pollute Poboyaâ€™s river. Related to the mercury that categorized as dangerous material, this researchÂ purposes to investigate the mercury distribution changing at Poboyaâ€™s river sediment. The mercury distribution changing is investigated by modify the advection-diffusion equation model. The model was completed by the initial conditions and Neumann boundary conditions. To get the numerical solutions, it is used a numerical scheme namely Duffort Frankel finite difference method for the second derivative, and Center Scheme for the first derivative. The solution represents the mercury distribution changing with respect to time at the Poboyaâ€™s river sediment. The simulation result explains that 0,0521 ppm mercury is distributed from the upper bound (current source) observation domain following the sediment direction (to estuary) caused by the advection process and decreased due to the diffusion process. For , the mecury was distributedÂ 0,00285 m to the estuary direction with the mercury concentration is 0,005 ppm, until , mercury was distributed 0,00832 m to estuary with mercury concentration is 0,005 ppm. In fact that at the estuary (lower bound), the 0,0244 ppm mercury that was already deposited will be diffused in an opposite direction. The advection process and the low initial mercury concentration, makes the reached distribution distance is no longer far comparing to the opposited mercury distribution. ForÂ Â the mercury was distributed 0,000822 m to the upper direction with mercury concentration is 0,005 ppm, until , the mercury was distributed 0,000873 m with mercury concentration is 0,005 ppm

PERBANDINGAN ANTARA METODE CART (CLASSIFICATION AND EGRESSION TREE) DAN REGRESI LOGISTIK (LOGISTIC REGRESSION) DALAM MENGKLASIFIKASIKAN PASIEN PENDERITA DBD (DEMAM BERDARAH DENGUE) Lestawati, R; Rais, Rais; Utami, I T
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 1 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Classification is one of statistical methods in grouping the data compiled systematically. The classification of an object can be done by two approaches, namely classification methods parametric and non-parametric methods. Non-parametric methods is used in this study is the method of CART to be compared to the classification result of the logistic regression as one of a parametric method. From accuracy classification table of CART method to classify the status of DHF patient into category of severe and non-severe exactly 76.3%, whereas the percentage of truth logistic regression was 76.7%, CART method to classify the status of DHF patient into categories of severe and non-severe exactly 76.3%, CART method yielded 4 significant variables that hepatomegaly, epitaksis, melena and diarrhea as well as the classification is divided into several segmens into a more accurate whereas the logistic regression produces only 1 significant variables that hepatomegaly

APLIKASI REGRESI KUANTIL PADA KASUS DBD DI KOTA PALU SULAWESI TENGAH Idris, N; Rais, Rais; Utami, I T
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 1 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Palu city is one of the cities with unstable changes of natural conditions. The natural conditions such as the frequency of rainy day, temperature and humidity which are always changeable bring bad impacts and will cause of diseases especially dengue hemorrhagic fever (DBD). Therefore, it needs an action to recognise whether or not the natural condition factor influences the spread of DBD and determines what factors of the natural condition can influence the spread of DBD. This research applied quantile regression in the case of DBD in Palu city. Quantile regression is an analysis technique regarding to the functional relationship between one dependent variable with one or more independent variables which can provide accurate and stable results even though there will be outliers. Based on the result of the research, it is obtained that the natural condition factor affected the spread of DBD. This is because from 3 natural conditions only 11 significant or influential quantiles on the tested data, the quantiles are 0,30; 0,35; 0,40; 0,45; 0,50; 0,55; 0,60; 0,65; 0,70; 0,75 and 0,80. Meanwhile the most influential factor of natural conditions in spreading DBD isÂ the frequency of rainy day because it has positive which means that 1 progress of percentage will increase the quantity of DBD case.

PELABELAN SELIMUT AJAIB SUPER PADA GRAF LINTASAN Farida, N; Sudarsana, I W; Resnawati, Resnawati
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Let ðº = (ð‘‰, ð¸) be a simple graph. An edge covering of ðº is a family of subgraphs ð»1 , â€¦ , ð»ð‘˜ such that each edge of ð¸(ðº) belongs to at least one of the subgraphs ð»ð‘– , 1 â‰¤ ð‘– â‰¤ ð‘˜. If every ð»ð‘– is isomorphic to a given graph ð», then the graph ðº admits an ð» âˆ’ covering. Let ðº be a containing a covering ð», and ð‘“ the bijectif function ð‘“: (ð‘‰ âˆª ð¸) â†’ {1,2,3, â€¦ , |ð‘‰| + |ð¸|} is said an ð» âˆ’magic labeling of ðº if for every subgraph ð» â€² = (ð‘‰ â€² ,ð¸ â€² ) of ðº isomorphic to ð», is obtained that âˆ‘ ð‘“(ð‘‰) + âˆ‘ ð‘“(ð¸) ð‘’âˆˆð¸(ð»â€² ð‘£âˆˆð‘‰(ð» ) â€² ) is constant. ðº is said to be ð» âˆ’super magic if ð‘“(ð‘‰) = {1, 2, 3, â€¦ , |ð‘‰|}. In this case, the graph ðº which can be labeled with ð»-magic is called the covering graph ð» âˆ’magic. The sum of all vertex labels and all edge labels on the covering ð» âˆ’ super magic then obtained constant magic is denoted by âˆ‘ ð‘“(ð»). The duplication graph 2 of graph ð·2 (ðº) is a graph obtained from two copies of graph ðº, called ðº and ðº â€² , with connecting each respectively vertex ð‘£ in ðº with the vertexs immediate neighboring of ð‘£ â€² in ðº â€² . The purpose of this study is to obtain a covering super magic labeling for of ð·2 (ð‘ƒð‘š) on (ð·2 (ð‘ƒð‘› )) for ð‘› â‰¥ 4 and 3 â‰¤ ð‘š â‰¤ ð‘› âˆ’ 1. In this paper, we have showed that duplication path graph (ð·2 (ð‘ƒð‘› )) has ð·2 (ð‘ƒð‘š) covering super magic labeling for ð‘› â‰¥ 4 and 3 â‰¤ ð‘š â‰¤ ð‘› âˆ’ 1 with constant magic for all covering is âˆ‘ ð‘“(ð·2 (ð‘ƒð‘š) (ð‘ ) ) = âˆ‘ ð‘“(ð·2 (ð‘ƒð‘š) (ð‘ +1) )

MODEL DINAMIK FASE PERTUMBUHAN BUAH KELAPA Yulinda, Yulinda; Jaya, A I; Ratianingsih, R
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Coconut (Cocos nucifera L.) is one of the Indonesian potential natural plant resources. Its fruit is a main part of the tree that plays an important role in raw materials industry. It is because the material could be processed to be a benefical various products. The diversity of the coconut fruit products leads to the importance of the study on coconut growth phase development. The model is expressed in a system of differential equation ð‘‘ð‘€ ð‘‘ð‘¡ = ð‘… âˆ’ ð›¼ð‘€ âˆ’ ðœ‡1ð‘€, ð‘‘ð‘ƒ ð‘‘ð‘¡ = ð›¼ð‘€ âˆ’ ðœ‡2ð‘ƒ âˆ’ ð›½ð‘ƒ, ð‘‘ð¶ ð‘‘ð‘¡ = ð›½ð‘ƒ âˆ’ ðœ‡3ð¶ âˆ’ Ïµð¶, ð‘‘ð‘€ð‘Ž ð‘‘ð‘¡ = ðœ–ð¶ âˆ’ ðœ‡4ð‘€ð‘Ž âˆ’ Î³ð‘€ð‘Ž, ð‘‘ð‘€ð‘ ð‘‘ð‘¡ = ð›¾ð‘€ð‘Ž âˆ’ ðœ‡5ð‘€ð‘ âˆ’ ðœŽð‘€ð‘ , ð‘‘ð‘€ð‘ ð‘‘ð‘¡ = ðœŽð‘€ð‘ âˆ’ ðœ‡6ð‘€ð‘ . The dinamic of coconut growth phase is studied by consider its stability at the critical point. The stability is determined using linearization method. The solution is analyzed both analitically and numerically. Simulated a stable endemic critical point indicates that the coconut production could be well prevent in each phase of growth

MEMBANGUN MODEL DINAMIS PENANGKARAN POPULASI MALEO (Macrochepalon Maleo) YANG MEMPERTAHANKAN EKSISTENSINYA DARI PREDATOR Gusmawan, T; Ratianingsih, R; Nacong, N
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Maleo (Macrocephalon maleo) is one of the endangered endemic species of Sulawesi due to diminishing spawning habitat, community exploitation and predators. The dynamic model of maleo population captivity to conserve its existence from predators is a mathematical model that describes the dynamics of maleo population growth cycle (M) with the threat of predators (P). In this study, the population of eggs maleo divided into two groups that are eggs in the free zone (Tb) and eggs in breeding (Tp). The eggs are in the captive breeding will be transfered to the exposure group (E). The model represents the interaction between the predators and populations reflecting maleo in each growth phase. The model has two critical points, namely the critical point ð‘‡1 = ( 0,0,0,0, ðœ‘ Âµ2 ) describing maleo extinction condition and critical point ð‘‡2 = (ð‘€âˆ— , ð‘‡ð‘âˆ— ,ð¸ âˆ— , ð‘‡ð‘âˆ— , ð‘ƒ âˆ— ) which describes the endemic conditions of maleo growth dynamics. The stability analysis shows that the system is unstable at both critical points. It is because the values of the first column in the Routh Hurwitz table changes in sign. Simulations of the endemic conditions showed that the maleo and egg populations in the free zone are decreasing with respect to time even though the exposed maleo still exist. The unstable endemic indicates that the existence of maleo breeding program in conservation areas still need another efforts support.

RANCANG BANGUN SISTEM INFORMASI AKADEMIK FMIPA UNIVERSITAS TADULAKO BERBASIS ANDROID Prasetyo, W F; Sudarsana, I W; Lusiyanti, D
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Academic information system based on Android necessary to support the effectiveness management of academic data such as input card study plan and input the value of course. To build Siakad Android application, the authors do the research of the database web Siakad Faculty of Natural Science Tadulako University that includes all the data of students, faculty, courses, card study plan, and card study result. The purpose of this study was to obtain academic information system based on Android Tadulako University Faculty of Mathematics and Natural Sciences. This application is built with features such as view bio, view the result of study, view the transcript, input study plan card, input result study card, wait confirm of study plan, and confirm study plan. Based on the results and discussion, it can be concluded that academic information system can support the effectiveness of academic data processing, such as the study plan input, and the input value of the course.

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Contact Name I Wayan Sudarsana

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Editorial Address Jl. Soekarno-Hatta Km 9 No 1 Palu 94116

Location Kota palu, Sulawesi tengah INDONESIA

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Contact Name
I Wayan Sudarsana

Contact Email
-

Phone
+6281320509373

Journal Mail Official
mathjurnal.untad@gmail.com

Editorial Address
Jl. Soekarno-Hatta Km 9 No 1 Palu 94116

Location
Kota palu,

Sulawesi tengah

INDONESIA