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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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DIMENSI PARTISI GRAF THORN DARI GRAF RODA W3 DAN W4 Riza, R; Zayendra, S; Mardhaningsih, A
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 1 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

Let ðº = (ð‘‰, ð¸) be a connected graph and ð‘† âŠ† ð‘‰(ðº). For a vertex v âˆˆ V(G) and an ordered k-partition Î = {ð‘†1 , ð‘†2 , â€¦ , ð‘†ð‘˜ } of ð‘‰(ðº), the representation of v with respect to Î is the k-vector ð‘Ÿ(ð‘£|ð›± = (ð‘‘(ð‘£, ð‘†1), ð‘‘(ð‘£, ð‘†2), . . . , ð‘‘(ð‘£, ð‘†ð‘˜)), where d(v,Si) denotes the distance between v and Si. The k-partition Î is said to be resolving if for every two vertices ð‘¢, ð‘£ ïƒŽ ð‘‰(ðº), the representation ð‘Ÿ(ð‘¢|ÐŸ) ï‚¹ ð‘Ÿ(ð‘£|Î ). The minimum k for which there is a resolving k-partition of ð‘‰(ðº) is called the partition dimension of ðº, denoted by ð‘ð‘‘(ðº). The wheel graph ð‘Šð‘› ð‘œð‘› ð‘› + 1 vertices with ð‘‰(ð‘Šð‘›) = {ð‘£0, ð‘£1, . . . , ð‘£ð‘›}. Let ð‘™2 ,ð‘™2 ,â€¦ ,ð‘™ð‘›be non-negative integers, ð‘™ð‘– â‰¥ 1, for ð‘– ïƒŽ {0,1,2, . . . , ð‘›}. The thorn graph of the graph Wn, with parameters ð‘™0 ,ð‘™1 ,â€¦ ,ð‘™ð‘› is obtained by attaching li new vertices of degree one to the vertex vi of the graph Wn. The thorn graph is denoted by ð‘‡â„Ž(ð‘Šð‘›,ð‘™0 ,ð‘™1 ,â€¦ ,ð‘™ð‘›). In this paper we give the upper bounds for the partition dimension of ð‘Š3 and ð‘Š4 denoted by ð‘ð‘‘(ð‘‡â„Ž(ð‘Š3 ,ð‘™0 ,ð‘™1 ,ð‘™2 ,ð‘™3 )) and ð‘ð‘‘(ð‘‡â„Ž(ð‘Š4 ,ð‘™0 ,ð‘™1 ,ð‘™2 ,ð‘™3 ,ð‘™4 )). Keywords : Partition Dimension, Resolving Partition, Thorn Graph, Wheel Graph.

KONDISI MINIMAL IDEAL KIRI TERURUT PADA SEMIGRUP TERNER TERURUT PARSIAL Andri, Andri; Nacong, Nasria
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Ternary semigroups ð‘‡ is obtained from a nonempty set ð‘‡ that given a mapping with a multiplication operation ternary that satisfied closed and associative properties. So, generally a ternary semigroup is an abstraction of a semigroup structure. Meanwhile, partially ordered ternary semigroups ð‘‡ is an ordered semigroup ð‘‡ that satisfies the properties for each ð‘Ž, ð‘, ð‘, ð‘‘ âˆˆ ð‘‡ if ð‘Ž â‰¤ ð‘ then (ð‘Žð‘ð‘‘) â‰¤ (ð‘ð‘ð‘‘) and (ð‘‘ð‘ð‘Ž) â‰¤ (ð‘‘ð‘ð‘). In a ternary semigroups there is also concept of left ideals. This study was conducted to examine the characteristics of ordered left ideals on partially ordered ternary semigroups. Furthermore, it will be discussed about the characteristics of minimal ordered left ideals on partially ordered semigroups.Keywords : Ternary Semigroups, Ordered Ternary Semigroups, Left Ideals, Ordered Left Ideals, Minimal of Ordered Left Ideals.

Rice Production Estimation In Central Sulawesi Through The Utilization Of Rainfall By Using Generalized Additive Model Handayani, L; Amelia, R; Putera, F H A
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 2 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

Climate models that are able to simulate rainfall in Indonesia so far have not been found. The highly complex topography and interaction of the sea, land and atmosphere adds to the complexity of simulations and predictions of rainfall in Indonesia, particularly in Central Sulawesi. This research focuses on utilizing the results of prediction or forecast rainfall. Rainfall forecasting results obtained are then modeled with data on the level of rice production, so we can predict the future supply of rice (rice). This study examines statistical downscaling modeling with a generalized additive model approach to describe the rainfall events that occur within a certain time period. The data used is rainfall data in Central Sulawesi Province, because this region is a supplier of rice in Sulawesi.

PENGELOLAAN LIMBAH PADAT KOTA PALU BERDASARKAN BIAYA PENGELOLAAN OPTIMAL Pratamasyari, D A
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 2 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

Waste is one of the source environmental problem point problem that need to attention. Waste problem becomes complex to be solved because related to the waste. In this research, waste management in Palu City is assessed based on optimal costs. real waste management in Palu City which is managed conventionally. Research result shows that the waste management of Palu city can be derived into such optimal, with the models of mathematic is to minimize which to have 3 constraint. The riil cost for manage Palu city is Rp.8.050.330.000. Keywords : waste management , mathematical models , optimal

Model Matematika Penyebaran Penyakit Bakteri Pumbuluh Kayu Cengkeh (BPKC) Chijra; Ratianingsih, R; Hajar
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 2 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

ABSTRACTClove wood vessels is one of the most damaging diseases of clove plants. This disease is caused by the bacterial Ralstonia Syzygii. the bacterial Rasltonia Syzygii lives in clove wood vessels. The bacterial Ralstonia Syzygii ispread through the Hindola Spp vector. The matemathical model that represents the spread of the disease isdeveloped from the SEI model (Suspectible, Exposed, Infected). The model gives 4 critical points ð‘‡1, ð‘‡2, ð‘‡3 and ð‘‡4 exist interaction between bacterial population Ralstonia Syzygii and Hindola Spp vector is less than the level of vulnerable clove recruitman divided by carrying capacity of Ralstonia Syzygii bacterial multiplied by Hindola Spp carrying capacity. The results of system stability analysis at the critical point using linearization give unstable three critical points ð‘‡1, ð‘‡2, ð‘‡3which describes equilibrium conditions and a stable ð‘‡4 critical point which describes endemic conditions. Numerical simulations are carried out to describe temporary disease-free conditions, and stable endemic conditionsKeywords : Clove Wood vessel Disease, Linierization Method, SEI Model

Prediksi Tingkat Pertumbuhan Ekonomi Provinsi Sulawesi Tengah Menggunakan Metode Backpropagation Jafaar, I M; Sahari, A; Lusiyanti, D
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 2 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

ABSTRACTEconomic growth in the region is the regional economy conditions change continuously towards a better State fora certain period. The slow economic growth became the latest leading indicator an area to develop. Indicators thatcan be used for example, GDP and inflation. On the research of these indicators will be used to predict the growthrate of the economy of Central Sulawesi province using the Backpropagation Neural Network Methods. Simulationof the program in the form of input data is represented ð‘¥1 and ð‘¥2 and biased ð‘1 dan ð‘2 symbolized. With hiddenlayers comprising ð‘§1, ð‘§2, ð‘§3, ð‘§4, â€¦ , ð‘§17 . and y as output. Based on the results and discussion has been done, can bedrawn the conclusion of process Neural Network prediction of Backpropagation with 1 hidden layer neurons andthe number 17 against 26 data represents data inflation and GDP of the year 2010 up to 2016 with sigmoid activationfunction binner was able to predict the rate of economic growth with a prediction error of 16.66%.Keywords : ANN, Backpropagation Method, Inflation, PDRB.

Optimalisasi Biaya Dan Waktu Pada Usaha Kerajinan Kayu Hitam Di Sumber Urip Ebony Dengan Menggunakan Metode Hungarian Maharani, M; Jaya, A I; Sahari, A
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 2 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

ABSTRACTPalu as the Capital of Central Sulawesi province is known as one of the crafts made from ebony. Ebony woodcraft industry in Palu begin to increase with the establishment of several business ebony, one of them is Sumber Urip Ebony Store that not only as a shop to sell the crafts, but at the same time as a place to produce the ebony wood crafts . This store have 9 workers and already have an adequate means of production. This study aimed is to propose the hungarian method to solve multi-objective assignment by optimizing the cost and time of production. From the results of the study is obtained that the total cost of producing all kinds of crafts is Rp. 8,080,000, - with a total of 87 days. This indicates more efficient results when compared with the cost of Rp. 12.6 50.000, - with a total of 115 days at Sumber Urip Ebony Store.Keywords : Assignments of Workers, Hungarian Method, Multi-objective Assignment, Optimize.

Rancang Bangun Aplikasi Pengontrolan Kupon BBM Kendaraan Dinas Dan Pelaporan Konsumsinya Dengan Sms Gateway Berbasis Barcode Tadjuka, M A; Jaya, A I; Ratianingsih, R
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 2 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

ABSTRACTThis study offers design of SMS Gateway application based a barcode- SMS Gateway for controlling theconsumption of fuel and reporting the consumption of official vehicles of Tadulako University, Department ofHygiene of Palu City and POLSEK of Easten Palu City. Barcode is an encoded information in form of thin and wide stripe with white line spacing in between. Controlling the fuel consumption is done by recapitulation the data that is send by SMS. It is contain information about the rest of quota for the current month. This application use open source softwares such us Gammu, MySql, Xampp, and PHP. The resulting application only transmit direct current month quota to the institution of Tadulako University, Department of Hygiene of Palu City and POLSEK of Easten Palu City.Keywords : Barcode, Gammu, MySql, PHP, SMS Gateway, Xampp.

Analisis Kestabilan Penyebaran Penyakit Antraks Pada Populasi Hewan Dengan Pemberian Vaksinasi: Studi Kasus Untuk Infeksi Pada Populasi Manusia Megawati; Ratianingsih, R; Hajar
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 2 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

ABSTRACTAnthrax is an infectious disease that caused by the Bacillus anthracis bacteria. The disease attacks animals such as cows in acute and preacute stage. Anthrax is a zoonotic disease that can be transmitted to humans through three types of media that are skin, digestive and respiratory tracts. To overcome the high death risk, treatment and vaccination of the period 6 â€“ 12 months are conducted. The aims of this study is developing a mathematical model of anthrax spread in animal populations with vaccination treatment. The model is also consider human populations, such that the SIRSV model (susceptible, Infected, Recovered, susceptible and Vaccine) is used for animal population and SI model (susceptible, Infected) is used for human population. The stability of model is analyzed at the critical points by linearization method. The free-disease unstable critical point and the stable endemic critical point are derived. The simulation shous that the number of infected animal and infected human population is not significantly different and indicates that the vaccination treatment could overcome the spread of anthrax succesfully.Keywords : Anthrax, Critical Point Endemic, Critical Point Non Disease, linearization method, Mathematical Models

Kendali Optimal Model Prognosis Sindrom Metabolik Dengan Faktor Resiko Obesitas Dan Diabetes Melitus Tipe II Menggunakan Minimum Pontryagin Nurannisa; Ratianingsih, R; Puspita, J W
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 16 No. 2 (2019)
Publisher : Program Studi Matematika, Universitas Tadulako

ABSTRACTMetabolic syndrome (SM) is a compound of risk factors of cordiovascular disease occurancy. Obesity and type IIdiabetes mellitus are the main two of the risk factors. The epidemiological data shous that the prevalence ofmetabolic syndrome in the world is 20-25%. The objective of these research is control to minimize the prognosisof the disease among the SM population that have obesity and type II DM risk factors. The pontryagin minimumprinciple is used to determine the optimal solution of the prognosis model that the optimal control. The solution is derived from the state and co-state state equations that are evaluated of the drug that give to the sufferer in stationary conditions. The performance Index was designed to minimize the number of SM population that suffer obesity and type II diabetes mellitus and the use of sulfonilurea that given as the normoweighted populations and biguanid for obese populations. The simulation of the optional solution shows that the optimal control was derived to control the number SM that have population of the optional solution obesity and type II DM risk with optimal biguanide 500 mg and sulfonilurea 5 mg as much.Keywords : Metabolic Syndrome, Minimum Pontryagin, Obesity, Stability ,Type II Diabetes Mellitus.

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Home Page

OAI Link

Editorial Team

Contact

Reviewer

Google Scholar

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

Abstract

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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