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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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ANALISIS MODEL ANTRIAN MULTIPLE CHANNEL MULTIPLE PHASE SERVICE DALAM PROSES PEMBUATAN KARTU MAHASISWA (KTM) PADA BANK BNI UNTAD Usman, R; Jaya, A I; Lusiyanti, D
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 1 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

The queue is a common situation that is common in our daily lives as consumers waited in front of the booth to get a turn to the service or service facilities. One example is the manufacture queue Student Identity Card (KTM) Tadulako in Bank BNI UNTAD. The purposes of this research is to analyze the characteristics of the making of queue Student Identity Card (KTM) Tadulako in Bank BNI of UNTAD. By calculating the probability were no queues (ð‘ƒ0 ),the average customer in the queue (ð¿ð‘Ž),the average customer in the system (ð¿ð‘ ),the average waiting time for customers in the queue (Wa ),the average time waiting for customers in the system (Wð‘ ). The results showed that the model type of queue that is used in the manufacture of Student Card (KTM) Tadulako in Bank BNI UNTAD is a model of multiple channels-multiple phase (M / M / S) with a Poisson arrival pattern distribution and exponential distribution service time. The analysis shows the performance characteristics of a queuing system manufacture KTM BANK BNI of UNTAD can be said to have been effective, because of the steady state in each stage. On Wednesday, the value of (ð‘ƒ0 ) at CS is 0,145 and the teller is 0.8879,for the value of (ð¿ð‘Ž) in CS is 1.8821 and the teller customer is a customer 0.0004 tothe value (ð¿ð‘ ) 3.4948is the customer, to the value of (Wa ) on CS is 33.5373 minutes and the teller was 0.0075 minutes, to the value of (Wð‘ ) is 74.1952 minutes. On Thursday, the value of (ð‘ƒ0 ) on CS was 0.121 and the teller is 0.8837,for the value of (ð¿ð‘Ž) in CS is 2.4998 and the teller customer is a customer 0.0005 tothe value (ð¿ð‘ ) 4.1918is the customer, to the value of (Wa ) on CS is 42.4061 minutes and the teller was 0.0081 minutes, to the value of (Wð‘ ) is 71.1808 minutes.Keywords : Exponential Distribution, Poisson Distribution, Queue Multi Phase

KAJIAN MATEMATIS FITOREMEDIASI: PENENTUAN DISTRIBUSI KONSENTRASI MERKURI (Hg) PADA AKAR BAKAU (Rhizophora mucronata) MENGGUNAKAN METODE BEDA HINGGA Nurhidayah, Nurhidayah; Jaya, A I; Ratianingsih, R
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 1 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

The 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 ð‘¢ð‘¡ = ð‘˜ð‘¢ð‘¥ð‘¥ + ð‘“(ð‘¥), where ð‘“(ð‘¥) 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, Mercury

PEMODELAN WAKTU TUNGGU PENUMPANG PADA JALUR ANGKUTAN DALAM KOTA PALU MENGGUNAKAN ALJABAR MAX-PLUS Natalia, Y; Sudarsana, I W; Lusiyanti, D
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 1 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

Passenger waiting time is the time required by passengers starting from the stops until getting transport. The purpose of this research is to get the model of waiting time passengers on the freight line in the Palu city. The first step is the preparation of directed graphs based on the existring routes, then calculate the mileage and travel time using synchronization rules and power algorithm with initial vector ð‘¥ = 0 obtained the value ð‘ = 2, ð‘ž = 1 and ð‘ = 102by using the appplication rock Scilab 5.5.2 and Map-Plus Toolbox obtained eigenvalues as the departure period of 102 and eigenvektor as the initial departure time.Keywords : Eigenvalues, Eigenvectors, Max-Plus Algebra, Waiting Time.

KENDALI OPTIMAL MODEL PENYEBARAN PENYAKIT BLOOD DESEASE BACTERIUM (BDB) PADA TANAMAN PISANG KEPOK DENGAN INOKULASI BAKTERI ENDOFIT Islami, N; Ratianingsih, R; Nacong, N
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 1 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

Banana plants are the most widely grown plants in Indonesia. In its growth period, banana plants can experience an attack of the disease Blood Desease Bacterium (BDB) caused by Ralstonia solanacearum Phylotipe IV which is the main cause of the loss of banana yield in Indonesia. BDB can cause plant death and crop failure. To represent this phenomenon a mathematical model was developed to reperents the spread BDB of Kepok banana plants by inoculating endophytic bacteria. Adapted 2 SEI epidemic models for banana and SI plant populations for the insect population trigona spp. The SEI model of banana population is divided into 3 subclasses, namely the BDB susceptible population class (ð‘†â„Ž), exposed population class (ð¸â„Ž), and population class infected with BDB disease (ð¼â„Ž). It was also observed the class of banana population that received treatment (ð‘†ð‘¡ ). This group was a class of banana population that was given endophytic bacteria. The SI model was adapted for the insect population trigona spp. which are grouped into 2 subclasses, namely the vulnerable population class to infect BDB (ð‘†ð‘£ ), and the population class is ready to infect BDB (ð¼ð‘£ ). Analysis of the stability of the model is carried out at a critical point then an optimal control of the spread of BDB disease through inoculation of endophytic bacteria is carried out. Controlling the rate of suppression of BDB transmission in bananas is done by keep the Î² parameters (isolates of endophytic bacteria inoculated into banana plants) for the purpose of reducing the incidence of BDB in banana plants. The simulation are carried out for optimal control design, using the principle of minimum Pontryagin, optimal solutions are obtained which show that controlling BDB disease with endophytic bacterial inoculation is said to be successful because it can reduce the number of infected banana plant populations.Keywords : BDB Disease, Endophytic bacteri, Inoculation, Ralstonia Solanacearum Phylotipe IV , Trigona spp., The Minimum Principle of Pontryagin.

OPTIMALISASI PERSEDIAAN BAHAN BAKAR MINYAK INDUSTRI (SOLAR) PADA PT. PRIMA SENTOSA ALAM LESTARI MENGGUNAKAN METODE ECONOMIC ORDER QUANTITY (EOQ) Santi, Santi; Jaya, A I; Sahari, A
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 1 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

PT. 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 ð‘…ð‘. 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 ð‘…ð‘. 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 ð‘…ð‘. 24.024.488,092.Keywords : EOQ Method, Inventory, Optimization.

ANALISIS KLASTER PAUTAN LENGKAP UNTUK MENGELOMPOKKAN KABUPATEN/KOTA DI PROVINSI SULAWESI TENGAH BERDASARKAN INDIKATOR KRIMINALITAS Utami, I T; Rais, Rais; Seftiani, W
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 1 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

Criminality 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.

MODEL PENGENDALIAN ALAMI PENYAKIT EMBUN JELAGA OLEH JAMUR CAPNADIUM SP PADA TANAMAN CENGKEH MENGGUNAKAN KUMBANG HELM CYCLONEDA SPP SEBAGAI PREDATOR KUTU DAUN (COCCOUS VIRIDIS GREEN Sudirman, Sudirman; Ratianingsih, R; Puspita, J W
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 1 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

Soot dew disease is one of the clove plant diseases caused by fungi Capnadium sp. fungus Capnadium sp living on filth of aphids Coccous Viridis Green. The fungus is spread by vectors of black ants that exist on a clove vulnerable. To control the disease naturally, people utilize the helmet beetles Cycloneda spp as a pest predator of aphids Coccous Viridis Green. The mathematical models that represent the natural control of the disease was adapted from the SI model. The model provides 9 exiting critical points which describes the state of the system. The results of the stability analysis of the critical points using the method of Linearization and Routh-Hurwitz shows that there are 4 disease-free critical points such that the solution can be maintained in the neighbourhood of the critical points. All endemic critical points are unstable such that the solution will leave the critical points. Simulation at the endemic critical points indicates the existence of helmet beetles Cycloneda spp population that able to suppress the spread of this disease by preying aphids Coccus Viridis Green.Keywords : Dew Soot, Helmet Beetles, Aphids, Mathematical Models.

KONTROL OPTIMAL PADA PEYEBARAN TUBERKULOSIS DENGAN EXOGENOUS REINFECTION Nainggolan, J; Iswar, F J; Abraham, Abraham
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 1 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

Tuberculosis is a disease caused by Mycobacterium tuberculosis. Tuberculosis can be controlled through treatment, chemoprophylaxis and vaccination. Optimal control of treatment in the exposed compartment can be done in an effort to reduce the number of exposed compartments individual into the active compartment of tuberculosis. Optimal control can be completed by the Pontryagin Maximum Principle Method. Based on numerical simulation results, optimal control of treatment in the exposed compartment can reduce the number of infected compartments individual with active TB.Keywords : Exogenous Reinfection, Optimal Control, Pontryagin's Maximum Principle, Spread Of Tuberculosis.

POTRET KESEHATAN MASYARAKAT DI KOTA PADANG DENGAN METODE WAJAH CHERNOFF Oktavia, A; Rina, I; Agusta, V
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 1 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

Chernoff Face Method is a method used to represent multiple variable data in the form of a cartoon face with 20 specific facial features. In this study, we will show how the use of the Chernoff face method to see a portrait of public health in the city of Padang. Health indicators will be paired with specific facial features of Chernoff's face using Principal Component Analysis (PCA). The results of this study are expected to provide an overview of public health protection for each sub-district in Padang City and Padang City as a whole. Keywords : Chernoff Face Method, Health Indicators, Principal Component Ananlysis.

PENERAPAN METODE FUZZY MAMDANI UNTUK MEMPREDIKSI JUMLAH PRODUKSI KARET (STUDI KASUS: DATA PERSEDIAAN DAN PERMINTAAN PRODUKSI KARET PADA PTP NUSANTARA XIV (PERSERO) KEBUN AWAYA, TELUK ELPAPUTIH, MALUKU-INDONESIA) Rahakbauw, D L; Rianekuay, F J; Lesnussa, Y A
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 1 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

Good corporate management will determine the development of a company. In addition, the necessary production planning is also required to achieve maximum profit. This study uses data from PTP Nusantara XIV (Persero) Awaya Garden, Teluk Elpaputih, Maluku Province Indonesia, which is engaged in the production of raw rubber. This research uses Fuzzy Mamdani method to predict the amount of rubber production based on the demand data, inventory and production of rubber per day in April 2016. From the research result obtained the exact amount of rubber production with the percentage of truth value equal to 87,83% and the resultant error is 12,17%.Keywords : Demand, Fuzzy Logic Mamdani Method, Inventory, Production.

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Contact Name
I Wayan Sudarsana

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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