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Jurnal Matematika
Published by Universitas Udayana
ISSN : 16931394     EISSN : 26550016     DOI : https://doi.org/10.24843/JMAT
Core Subject : Education,
Mathematics
Jurnal Matematika (p-ISSN: 1693-1394 |e-ISSN: 2655-0016| DOI: 10.24843/JMAT ) is an open access journal which publishes the scientific works for researchers. The articles of this journal are published every six months, that is on June and December.
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Articles 6 Documents
 1 
Search results for , issue "Vol 12 No 2 (2022)" : 6 Documents clear
The Calculation of Life Insurance Premiums with A Multiple-State Model on Critical Illness Insuranceance Millennia Taraly; Neva Satyahadewi; Hendra Perdana
Jurnal Matematika Vol 12 No 2 (2022)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2022.v12.i02.p150

Abstract

Based on data from the Basic Health Research (Riskesdas) in 2018, the risk of critical illness is increasing and is the highest cause of death for Indonesian population. Currently, the cost of treating disease is not cheap, so maintaining health and preparing for the possibility of being diagnosed with a critical illness in the future is an important step. Critical Illness insurance premiums calculation includes cancer, stroke, heart, and diabetes mellitus. The benefits provided are in the form of death compensation, treatment costs when diagnosed with a critical illness, and there are also costs for Angioplasty surgery. Angioplasty surgery is performing when the individual has a serious critical heart condition and must be performed immediately 24 hours after a heart attack. The data information is in the form of the 2019 Indonesian Mortality Table, and the prevalence of critically ill patients with angioplasty surgical conditions. The premium calculation is carriying out for the insured male aged 40 years in good health, interest rate is 3.75%, the premium payment period and the insurance coverage period is 10 years. The annual net premium value obtained is IDR 5,859,788, of which the sum insured is IDR 500,000,000. There are 3 benefits obtained by the insured: (1) The cost of compensation received for Angioplasty surgery is 25% of the sum insured; (2) The cost of treatment compensation that will be given annually until the insurance coverage period ends when the insured is diagnosed with a critical illness, which is 100% of the sum insured minus the cost of compensation in the event of Angioplasty surgery; and (3) The value of compensation for death due to any cause, which is 100% of the sum insured minus the critical illness benefit for Angioplasty surgery
Optimalisasi Keuntungan Menggunakan Metode Branch And Bound Pada Produksi Spring Bed Daryana Dali; Yopi Andry Lesnussa; Venn Yan Ishak Ilwaru
Jurnal Matematika Vol 12 No 2 (2022)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2022.v12.i02.p151

Abstract

PT Satelit Maluku is a company that produces spring beds with three types, namely 2in1, ordinary spring beds and single beds. Every company established aims to get big profits as well as PT Satelit Maluku. To obtain large profits, companies need to make strategies so that each available material can be allocated optimally and appropriately. The purpose of this research is PT Satelit Maluku can optimize the profit of spring bed production by using the Branch and Bound and QM for Windows V5 methods. From the results of calculations using the Branch and Bound method and QM for windows V5, the optimal profit is Rp. 19,775,000 with a lot of production of spring bed type 2in1 is 0 (not producing), ordinary spring bed is 26 pieces and single bed is 3 pieces.
Analisis Positioning Merk Laptop dengan Menggunakan Metode MDS Nonmetrik dan CA Maria Romaana Ona Sain; Yudi Setyawan; Rokhana Dwi Bekti
Jurnal Matematika Vol 12 No 2 (2022)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2022.v12.i02.p152

Abstract

Abstract: This study aims to determine the positioning of laptop brands on attributes based on the perceptions and preferences of IST AKPRIND students. The method used is nonmetric multidimensional scaling and correspondence analysis. The results showed that: multidimensional scaling of perception data, quadrant I was occupied by HP and Dell, quadrant II was occupied by Toshiba, quadrant III was occupied by Acer, Lenovo, Asus, and quadrant IV was occupied by Apple. Then multidimensional scaling preference data, it is known that quadrant I is occupied by storage and price attributes, quadrant II is occupied by Apple with attributes of laptop resistance to damage, feature set, RAM, processor, quadrant III is occupied by brand image and warranty attributes, and quadrant IV is occupied by HP, Dell, Toshiba, Acer, Lenovo, Asus, and there are no attributes in quadrant IV. Using correspondence analysis, it is known that quadrant I is occupied by Apple with price attributes, quadrant II is occupied by Toshiba with attributes of brand image, processor, RAM, feature set, quadrant III is occupied by HP, Dell, Lenovo, Acer, Asus with attributes of laptop resistance to damage, quadrant IV is occupied storage and warranty attributes. There is no laptop in quadrant IV.
Optimasi Sistem Antrian Pada Loket Apotek RSUD Kabupaten Sumbawa Koko Hermanto; Muhammad Zikri Kautsar; Iksan Adiasa; Silvia Firda Utami
Jurnal Matematika Vol 12 No 2 (2022)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2022.v12.i02.p154

Abstract

Loket pengambilan obat atau apotek menjadi fasilitas yang wajib ada setiap Rumah Sakit. Namun masih banyak terjadi antrian yang cukup ramai pada loket pengambilan obat terutama pada hari sibuk, persoalan tersebut terjadi juga di Rumah Sakit Umum Daerah (RSUD) Kabupaten Sumbawa. Persoalan antrian yang terjadi harus diselesaikan secara optimal agar para penebus merasa puas terhadap pelayanan yang diberikan. Oleh karena itu penelitian ini bertujuan untuk mengevaluasi sistem antrian pada loket pengambilan obat menggunakan metode teori antrian. Berdasarkan hasil analisis, bahwa sistem antrian eksisting yaitu penggunaan satu loket layanan atau single channel single phase masih belum optimal dalam mengatasi jumlah antrian pada loket pengambilan obat di setiap hari kerja karena masih terdapat steady state (?) lebih besar dari satu yang berarti masih terdapat jumlah penebus obat masih mengantri lama di sistem. Oleh karena itu diusulkan untuk menambah satu pelayanan menjadi dua loket pelayanan pada setiap hari kerja sehingga memenuhi kondisi steady state (?) dan diperoleh jumlah penebus obat dalam antrian (Lq) adalah 1 penebus sampai 2 penebus, sedangkan waktu tunggu penebus obat dalam antrian (Wq) adalah 1,464 menit hingga 2,58 menit.
Analisis Sensitivitas Pada Model Matematika Penyebaran Penyakit Demam Dengue dengan Laju Insidensi NonLinier I Putu Winada Gautama; Ni Kadek Nova Anggarani; I Made Eka Dwipayana; Putu Veri Swastika
Jurnal Matematika Vol 12 No 2 (2022)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2022.v12.i02.p155

Abstract

Abstract: Dengue fever is a disease that can be fatal if not treated seriously. This disease is transmitted to humans through the Aedes Aegypti mosquito. Mathematical modeling is a tool used to understand the dynamics of dengue fever. Incomplete data creates uncertainty in the parameter values of the mathematical model. Uncertainty analysis to determine these parameters using sensitivity analysis. This study found that the bite rate of susceptible and infected mosquitoes and the mosquito death rate have a large influence on changes in the value of . Human recovery rate (r), mosquito mortality rate , and human mortality rate have a major influence on infected human individuals . The bite rate of susceptible and infected mosquitoes has the most positive influence on the number of infected mosquitoes . The mortality rate of mosquitoes had the most negative relationship with the number of mosquitoes infected with . Numerical simulations are carried out to determine the dynamics that occur when parameter values are increased or decreased. Keywords: Sensitivity Analysis, Dengue Fever, Mathematical Modeling
Analisis Klaster Kependudukan di Kota Blitar Menggunakan Metode Fuzzy C-Means Clustering Yumna Salsabila Firdaus; Rachmadania Akbarita; Rizka Rizqi Robby
Jurnal Matematika Vol 12 No 2 (2022)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2022.v12.i02.p153

Abstract

Blitar City is one of 9 cities in East Java province with an area of 32.58 km2, and has an unequal population distribution in every urban village. There is a difference of 11,719 people between urban villages that have a dense population and a small population. The purpose of this study is to analyze clusters or categorize the population of 21 urban villages in Blitar City by population migration factors, births and mortality. In this study using secondary data obtained from the Blitar City Statistics Centre, namely demographic data in 2019. The methodology used in this study is Fuzzy C-Means (FCM) cluster analysis. FCM is a cluster method in which the existence of each data in a cluster is determined by the degree of membership based on fuzzy logic theory. This method was chosen because it makes it possible to group data that is scattered irregularly. Create a convergent cluster centre using the objective function. The test results were then validated using Partition Entropy, Partition Coefficient and Pseudo F. There were many clusters = 2, 22 iterations, with an objective function of 98252.44. There are 14 urban villages in Group Cluster 1 and 7 urban villages in Cluster 2.

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