Jurnal Ilmiah Matematika dan Terapan
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KAJIAN MATEMATIS FITOREMEDIASI: PENENTUAN DISTRIBUSI KONSENTRASI MERKURI (Hg) PADA AKAR BAKAU (Rhizophora mucronata) MENGGUNAKAN METODE BEDA HINGGA
Full text linkThe existence of mercury as a pollutant in the water environment caused by industrial activities and natural process can gives directly and indirectly impact to the marine life. As an example, it makes the reduction of water quality. Considering the mercury as the most dangerous pollutant, it would require a proper handling program to reduce the amount of mercury in the water environment. such as planting of hyperakumulator plant. Rhizophora mucronata is one of hyperakumulator plants that can absorb mercury effectively. This study discusses the distribution of mercury (Hg) concentrations in Rhizophora mucronata roots, that is investigated mathematically using diffusion model. The modification of the model is = + (), where () states absorption roots function in absorbing mercury. A numerical scheme is derived by apply the finite difference method explicit scheme to get the numerical solutions. The simulation shows that the mercury concentrations is reduced from the root bark of the roots towards the central part. The difference of concentration distribution of mercury (Hg) in each layer, from the root bark of the roots towards the central part, will also decreases from the first week to the fifth week of time interval.Keywords : Diffusion Equations, Explicit Finite Difference Schemes, Mangrove, Mercur
ANALISIS KLASTER PAUTAN LENGKAP UNTUK MENGELOMPOKKAN KABUPATEN/KOTA DI PROVINSI SULAWESI TENGAH BERDASARKAN INDIKATOR KRIMINALITAS
Full text linkCriminality is all kinds of actions and deeds which is economically and psychologically harmful. The statistical method could be used to classify the crime is cluster analysis. Cluster analysis is a multivariate method which aims to classify a sample of subjects (or objects) on the basis of a set of measured variables into a number of different groups such that similar subjects are placed in to the same group. The objective of this research is to classify Regency/City in Central Sulawesi Province based on the criminality indicator and to discover the profile of each cluster which had been formed. The results of the study shows that those are two clusters formed: Cluster 1 consists of Buol, Banggai, Morowali, Toli-Toli, Donggala, and Tojo Una-Una Regency; Cluster 2 consists of Regency/Palu City, and Parigi Moutong. The profile of each cluster is: Cluster 1 with low crime rate on average and Cluster 2 with high crime rate on average.Keywords : Cluster Analysis, Complete Linkage, Criminality, Hierarchy Method
OPTIMALISASI PERSEDIAAN BAHAN BAKAR MINYAK INDUSTRI (SOLAR) PADA PT. PRIMA SENTOSA ALAM LESTARI MENGGUNAKAN METODE ECONOMIC ORDER QUANTITY (EOQ)
Full text linkPT. Prima Alam Lestari Sentosa is a company engaged in six areas such as transporter fuel, industrial fuel agents pertamina, SPPBE, general construction services, mining contractor, and the procurement of goods and services. In carrying out its production activity is associated with supplies of fuel oil. Where inventory is one of management activities related to storage costs and reservations so that the necessary optimization of inventory. In this study the authors using Economic Order Quantity to optimize the inventory. This study aims is to determine the inventory optimization of fuel oil at PT. Prima Alam Lestari Sentosa and compared it with the fuel inventory optimization EOQ method. . PT Prima Alam Lestari Sentosa set the amount every one reservations is 14212.50 liters with the number of bookings 317 timeseach year and the total cost of supply is . 710.304.976,352,- while when using the EOQ method, the ordering amount is 20.225 liters with the number of bookings are as 223 times each year and the total inventory cost . 668.280.488,26,-. Thus, in the year of 2016, it is about that the company's policy when using the EOQ method is equal to . 24.024.488,092.Keywords : EOQ Method, Inventory, Optimization
MODEL DINAMIK FASE PERTUMBUHAN BUAH KELAPA
Full text linkCoconut (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 = − − 1, = − 2 − , = − 3 − ϵ, = − 4 − γ, = − 5 − , = − 6 . 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 growt
RANCANG BANGUN SISTEM INFORMASI AKADEMIK FMIPA UNIVERSITAS TADULAKO BERBASIS ANDROID
Full text linkAcademic 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
MEMBANGUN MODEL DINAMIS PENANGKARAN POPULASI MALEO (Macrochepalon Maleo) YANG MEMPERTAHANKAN EKSISTENSINYA DARI PREDATOR
Full text linkMaleo (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 1 = ( 0,0,0,0, µ2 ) describing maleo extinction condition and critical point 2 = (∗ , ∗ , ∗ , ∗ , ∗ ) 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
OPTIMALISASI BIAYA TRANSPORTASI PENDISTRIBUSIAN KERAMIK MENGGUNAKAN MODEL TRANSPORTASI METODE STEPPING STONE (STUDI KASUS: PT. INDAH BANGUNAN)
Full text linkPT. Indah Bangunan is a distributor of ceramics in the city of Palu. This study aims are to obtain the cost of an optimal transportation in ceramic distribution. To obtain the objectives of this research several steps are done, namely: by creating a model of the transportation of the data obtained, by determining the initial solution using the method of Vogel’s Aprproxumation, and by optimizing the solution using the of Stepping Stone.From the researchits are found that theinitial solution is . and the optimal solution is , while the cost of transportation from the company beforeoptimization is .000.It means that PT. Indah Bangunan Palu can optimize the costs of transport for the distribution of ceramics on September 2016 with a cost savings of or
PELABELAN GRACEFUL GANJIL PADA GRAF DUPLIKASI DAN SPLIT BINTANG
Full text linkGraph is not an empty a finite of the objects that called point (vertex) with the couple was not that is the side (edge). The set point denoted by , while the set edge denoted by . Odd graceful labeling on graph with side is a function injective from so that induced function such that in label with so label sides would be different. A graph that have an odd graceful labeling is called odd graceful graph. The result showed that duplicate star graph for and split star graph for , for even satisfie odd graceful labeling
PENANGANAN PRODUKSI BUAH PISANG PASCA PANEN MELALUI MODEL PENGENDALIAN GAS ETILEN
Full text linkBananas 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
SISTEM SEDERHANA UNTUK MEMPREDIKSI RISIKO PEMBERIAN KREDIT
Full text linkCredit 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 dat