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Contact Name
I Wayan Sudarsana
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+6281320509373
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mathjurnal.untad@gmail.com
Editorial Address
Jl. Soekarno-Hatta Km 9 No 1 Palu 94116
Location
Kota palu,
Sulawesi tengah
INDONESIA
JURNAL ILMIAH MATEMATIKA DAN TERAPAN
Published by Universitas Tadulako
ISSN : 18298133     EISSN : 2450766X     DOI : -
Core Subject : Education,
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.
Articles 307 Documents
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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (549.487 KB) | DOI: 10.22487/2540766X.2019.v16.i1.12766

Abstract

Let 𝐺 = (𝑉, 𝐸) be a connected graph and 𝑆 ⊆ 𝑉(𝐺). For a vertex v ∈ V(G) and an ordered k-partition Π = {𝑆1 , 𝑆2 , … , 𝑆𝑘 } of 𝑉(𝐺), the representation of v with respect to Π is the k-vector 𝑟(𝑣|𝛱 = (𝑑(𝑣, 𝑆1), 𝑑(𝑣, 𝑆2), . . . , 𝑑(𝑣, 𝑆𝑘)), where d(v,Si) denotes the distance between v and Si. The k-partition Π is said to be resolving if for every two vertices 𝑢, 𝑣  𝑉(𝐺), the representation 𝑟(𝑢|П)  𝑟(𝑣|Π). The minimum k for which there is a resolving k-partition of 𝑉(𝐺) is called the partition dimension of 𝐺, denoted by 𝑝𝑑(𝐺). The wheel graph 𝑊𝑛 𝑜𝑛 𝑛 + 1 vertices with 𝑉(𝑊𝑛) = {𝑣0, 𝑣1, . . . , 𝑣𝑛}. Let 𝑙2 ,𝑙2 ,… ,𝑙𝑛be non-negative integers, 𝑙𝑖 ≥ 1, for 𝑖  {0,1,2, . . . , 𝑛}. The thorn graph of the graph Wn, with parameters 𝑙0 ,𝑙1 ,… ,𝑙𝑛 is obtained by attaching li new vertices of degree one to the vertex vi of the graph Wn. The thorn graph is denoted by 𝑇ℎ(𝑊𝑛,𝑙0 ,𝑙1 ,… ,𝑙𝑛). In this paper we give the upper bounds for the partition dimension of 𝑊3 and 𝑊4 denoted by 𝑝𝑑(𝑇ℎ(𝑊3 ,𝑙0 ,𝑙1 ,𝑙2 ,𝑙3 )) and 𝑝𝑑(𝑇ℎ(𝑊4 ,𝑙0 ,𝑙1 ,𝑙2 ,𝑙3 ,𝑙4 )). 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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (479.87 KB) | DOI: 10.22487/2540766X.2018.v15.i2.13225

Abstract

Ternary semigroups 𝑇 is obtained from a nonempty set 𝑇 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 𝑇 is an ordered semigroup 𝑇 that satisfies the properties for each 𝑎, 𝑏, 𝑐, 𝑑 ∈ 𝑇 if 𝑎 ≤ 𝑏 then (𝑎𝑐𝑑) ≤ (𝑏𝑐𝑑) and (𝑑𝑐𝑎) ≤ (𝑑𝑐𝑏). 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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (706.833 KB) | DOI: 10.22487/2540766X.2019.v16.i2.13997

Abstract

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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (636.665 KB) | DOI: 10.22487/2540766X.2019.v16.i2.14596

Abstract

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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (669.691 KB) | DOI: 10.22487/2540766X.2019.v16.i2.14985

Abstract

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 𝑇1, 𝑇2, 𝑇3 and 𝑇4 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 𝑇1, 𝑇2, 𝑇3which describes equilibrium conditions and a stable 𝑇4 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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (504.114 KB) | DOI: 10.22487/2540766X.2019.v16.i2.14986

Abstract

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 𝑥1 and 𝑥2 and biased 𝑏1 dan 𝑏2 symbolized. With hiddenlayers comprising 𝑧1, 𝑧2, 𝑧3, 𝑧4, … , 𝑧17 . 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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (594.984 KB) | DOI: 10.22487/2540766X.2019.v16.i2.14987

Abstract

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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (788.976 KB) | DOI: 10.22487/2540766X.2019.v16.i2.14988

Abstract

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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (949.536 KB) | DOI: 10.22487/2540766X.2019.v16.i2.14989

Abstract

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 – 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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (710.811 KB) | DOI: 10.22487/2540766X.2019.v16.i2.14990

Abstract

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.