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Journal of Fundamental Mathematics and Applications (JFMA)

jfma
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Published by Universitas Diponegoro

ISSN : 26216019 EISSN : 26216035 DOI : https://doi.org/10.14710

Core Subject : Science,

Decision Sciences, Operations Research & Management

Journal of Fundamental Mathematics and Applications (JFMA) is an Indonesian journal published by the Department of Mathematics, Diponegoro University, Semarang, Indonesia. JFMA has been published regularly in 2 scheduled times (June and November) every year. JFMA is established to highlight the latest update of mathematical researches in both theoretical and applied works. The scope in JFMA is pure mathematics and applied mathematics. All accepted papers will be published both in print and online versions. The online version can be accessed via the DOI link of each article. The print version can be ordered to the journal administrator. JFMA welcomes both theoretical and applied research work to be published in the journal. The topics include but are not limited to: (1) Mathematical analysis and geometry (2) Algebra and combinatorics (3) Discrete Mathematics (4) Mathematical physics (5) Statistics (6) Numerical method and computation (7) Operation research and optimization (8) Mathematical modeling (9) Mathematical Logic in Computer Science, Informatics, etc.

Arjuna Subject : Matematika - Matematika Terapan

Articles 9 Documents

Search results for , issue "Vol 5, No 1 (2022)" : 9 Documents clear

BEBERAPA KELAS RUANG BARISAN SELISIH DIPERUMUM TIPE CESARO Ahmad, Mizan
Journal of Fundamental Mathematics and Applications (JFMA) Vol 5, No 1 (2022)
Publisher : Diponegoro University

In this paper, we discuss about some classes of Cesaro Generalized differencesequence spaces. We observe their completeness and the relationships betweenthem. At the end of this paper, we construct the Kothe-Toeplitz dual of some class of Cesaro difference sequence spaces.

MODEL KERUGIAN AGGREGAT UNTUK JAMINAN KECELAKAAN KERJA BERDASARKAN SIMULASI David Elsa Kharisma; Leopoldus Ricky Sasongko; Tundjung Mahatma
Journal of Fundamental Mathematics and Applications (JFMA) Vol 5, No 1 (2022)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v5i1.14307

Abstract. Work Accident Insurance is a benefit in the form of cash and or health services provided when the participant guarantees a work accident that occurs in the work environment or on the road while doing work. This study discusses how to obtain an aggregate loss model for a work accident insurance based on a simulation. In the field of aggregate loss insurance is the total loss suffered by the insured that must be borne by the insurance company within a certain period. The data used are secondary data obtained from various journals and official websites of hospitals and the government. The purpose of this study was to determine the measures in the distribution model of the aggregate loss to the premium for a work accident insurance. The aggregate loss model in this study is divided into 3 cases, namely, the case of fixed costs, the case of random costs, and the case of random costs with the influence of present value. To get the best distribution results, 10,000 simulations were carried out, from the 3 simulated cases, the average reserve fund from work accident insurance was 26674.53 (in million rupiah). In addition, the average premium that each policyholder must find per month is 0.008405135 (in million rupiah). After the Kolmogorov - Smirnov test was carried out, the p-value was greater than the value of 0.05 so that it was known that the best distribution model was Normal.Abstrak. Jaminan Kecelakaan Kerja adalah manfaat berupa uang tunai dan atau pelayanan kesehatan yang diberikan pada saat peserta jaminan mengalami kecelakaan kerja yang terjadi di lingkungan kerja maupun di jalan saat sedang melakukan pekerjaan. Penelitian ini membahas tentang bagaimana memperoleh model kerugian aggregat suatu jaminan kecelakaan kerja berdasarkan simulasi. Dalam bidang asuransi kerugian aggregat adalah total kerugian yang dialami oleh tertanggung yang harus ditanggung oleh perusahaan asuransi dalam suatu periode waktu tertentu. Data yang digunakan adalah data sekunder yang diperoleh dari berbagai jurnal dan web resmi rumah sakit dan pemerintah. Tujuan dari penelitian ini adalah untuk mengetahui ukuran-ukuran dalam model distribusi kerugian aggregat hingga premi untuk suatu jaminan kecelakaan kerja. Model kerugian aggregat pada penelitian ini dibagi atas 3 kasus yaitu, kasus biaya tetap, kasus biaya acak, dan kasus biaya acak dengan pengaruh present value. Untuk mendapatkan hasil distribusi yang terbaik dilakukan 10000 kali simulasi, dari 3 kasus yang telah disimulasikan diperoleh rata – rata dana cadangan dari jaminan kecelakaan kerja yaitu sebesar 26674.53 (dalam juta rupiah). Selain itu, diperoleh juga rata – rata besar premi yang harus dibayarkan oleh setiap pemegang polis per bulan yaitu sebesar 0.008405135 (dalam juta rupiah). Setelah itu dilakukan uji Kolmogorov – Smirnov hingga didapat nilai p-value yang lebih besar dari nilai 0.05 sehingga diketahui bahwa model distribusi terbaik adalah Normal.

IMPLEMENTATION OF EXTENDED FINITE ELEMENT METHOD IN CRACK PROPAGATION OF CONCRETE Muhammad Rafi Purba; Tulus Tulus; M.R. Syahputra; Sawaluddin Sawaluddin
Journal of Fundamental Mathematics and Applications (JFMA) Vol 5, No 1 (2022)
Publisher : Diponegoro University

The Extended Finite Element Method is a numerical solution based on the Finite Element Method (FEM) XFEM has really become a very important generalization of classical finite element techniques, by establishing a mesh independent generalization of classical finite elements to reduce the mesh-dependent shortcomings of the solution. The application of XFEM in crack simulation should improve the modeling of the crack tip environment and also apply to generalized advanced global failure criteria, which is specifically designed to deal with problems in the engineering field Such as the fracture behaviour model. The purpose of this paper is to identify the application of the Extended Finite Element Method to a technical problem, namely fracture behaviour model. The media used is pure boneless concrete modelled with COMSOL Multiphysics 5.6 software by combining stress ratio, lateral strain due to axial loading, concrete density, and crack growth rate. The crack growth process provides initial prolonged growth along with the increase in crack size. In the end, the growth is faster. The reason for this accelerated growth is the stress intensity factor at the crack tip. As the crack grows, the stress intensity factor increases, leading to faster growth. The crack grows until it reaches a critical value, and fracture occurs. The test results obtained the cause of failure: the critical stress intensity is exceeded. See a comparison of crack size and stress cycle as the crack size increases. This accelerated growth is because the growth rate depends on the stress intensity factor at the crack tip, and the stress intensity factor depends on the crack size. As the crack grows, the stress intensity factor increases, leading to faster growth. The crack grows to a critical size, and failure occurs. The results show a relatively strong relationship between increasing crack size and increasing crack growth rate.

ON CYCLIC DECOMPOSITION OF Z-MODULE M_{m×r}(Z_n) Ni Wayan Switrayni; I Gede Adhitya Wisnu Wardhana; Qurratul Aini
Journal of Fundamental Mathematics and Applications (JFMA) Vol 5, No 1 (2022)
Publisher : Diponegoro University

A torsion module over a principal ideal domain has special properties related to the way how it is decomposed either into primary or cyclic submodules. This paper carries out a special case of such module over the ring of integer, which consists of all matrices with entries from the set of integer modulo n. The result shows that its decomposition depends on the prime factors of n.

ANOTHER LOOK AT A POLYNOMIAL SOLUTION FOR ALTERNATING POWER SUMS Leomarich F Casinillo
Journal of Fundamental Mathematics and Applications (JFMA) Vol 5, No 1 (2022)
Publisher : Diponegoro University

This paper aims to provide a new general explicit polynomial solution on power sums of consecutive positive integers under alternating signs. Moreover, it examines the solution under odd and even number of terms in the series and provides some examples.

ANALISIS KEPUASAN NASABAH TERHADAP FAKTOR-FAKTOR LAYANAN PERBANKAN MENGGUNAKAN METODE FUZZY-SERVQUAL PADA BCA TEGAL Saputri, Selvina Merry; Sasongko, Leopoldus Ricky; Linawati, Lilik
Journal of Fundamental Mathematics and Applications (JFMA) Vol 5, No 1 (2022)
Publisher : Diponegoro University

Bagi perusahaan yang bergerak di bidang jasa perbankan, kemampuan BCA Tegal untuk memberikan layanan yang baik kepada konsumen adalah hal yang krusial untuk diperhatikan guna dapat bertahan dalam persaingan bisnis. Peningkatan kualitas layanan wajib untuk terus diupayakan guna nasabah tidak berpaling dari BCA Tegal. Penelitian ini bertujuan untuk mengetahui layanan perbankan yang berpengaruh terhadap kepuasan nasabah dan yang perlu diprioritaskan untuk ditingkatkan agar nasabah BCA Tegal merasa puas dengan pelayanan. Kepuasan diukur melalui faktor-faktor dan atribut-atribut layanan perbankan yang ada di BCA Tegal. Digunakan sampel sebanyak 170 responden dari nasabah BCA Tegal. Metode analisis yang digunakan dalam penelitian adalah Fuzzy Service Quality. Hasil analisis dalam penelitian menunjukkan bahwa terdapat atribut dan faktor yang perlu untuk ditingkatkan guna memberikan layanan yang berkualitas. Layanan yang paling berpengaruh untuk kepuasan nasabah ada pada faktor assurance (jaminan). Sementara itu, layanan yang perlu untuk ditingkatkan adalah faktor responsiveness (daya tanggap).

OPTIMISASI MULTIOBJEKTIF DALAM PEMBENTUKAN PORTOFOLIO OPTIMAL SAHAM DENGAN PENGUKURAN VALUE AT RISK (VAR) Nanda Surya Jatnika; Esther Sorta Mauli Nababan
Journal of Fundamental Mathematics and Applications (JFMA) Vol 5, No 1 (2022)
Publisher : Diponegoro University

When investors invest in their stock, the strategy used by an investor is to form an optimal portfolio of shares. An optimal stock portfolio can be created by utilizing the multi-objective optimization method, which can help investors achieve maximum return and minimum risk simultaneously. The multi-objective method has a weighting factor that acts as a risk indicator to assist investors in taking risks on the expected return. This study aims to optimize investors' profits and losses by forming an optimal stock portfolio using multi-objective and Value at Risk (VaR) measurements. The data used by the researcher is the weekly closing price of stocks which are always included in the LQ-45 stock index for the period 31 January 2019 – to 31 December 2020. The formed portfolio consists of three stocks, namely INCO.JK, MNCN.JK, and EXCL.JK. From the formed portfolio, the number of losses and profits obtained by investors can be seen based on the magnitude of the weighting coefficient k. Therefore, the greater the chance of profit (return), the greater the chance of loss (risk) that investors will receive.

IDEMPOTENT MATRIX OVER SKEW GENERALIZED POWER SERIES RINGS Ahmad Faisol; Fitriani Fitriani
Journal of Fundamental Mathematics and Applications (JFMA) Vol 5, No 1 (2022)
Publisher : Diponegoro University

Let $R[[S,\leq,\omega]]$ be a skew generalized power series ring, with $R$ is a ring with an identity element, $(S,\leq)$ a strictly ordered monoid, and $\omega:S\rightarrow End(R)$ a monoid homomorphism. We define the set of all matrices over $R[[S,\leq,\omega]]$, denoted by $M_{n}(R[[S,\leq,\omega]])$. With the addition and multiplication matrix operations, $M_{n}(R[[S,\leq,\omega]])$ becomes a ring. In this paper, we determine the sufficient conditions for $R$, $(S,\leq)$, and $\omega$, so the element of $M_{n}(R[[S,\leq,\omega]])$ is an idempotent matrix.

PENGARUH FAKTOR KLAIM COVID-19 DALAM PENENTUAN MODEL KERUGIAN AGREGAT PADA ASURANSI KESEHATAN MANFAAT RAWAT JALAN BERDASARKAN SIMULASI Indah Kristin Utami; Leopoldus Ricky Sasongko; Tundjung Mahatma
Journal of Fundamental Mathematics and Applications (JFMA) Vol 5, No 1 (2022)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v5i1.14306

Abstract. Risk might happen at any time; it demands human to have protection, which can be achieved through insurance. In health insurance, there are two types of benefits, namely inpatient and outpatient. Outpatient health insurance benefit is considered for health treatment without hospitalization. In Covid-10 pandemic time, the insurance company should include decrement of Covid-19 in its cost and can use aggregate loss distribution model. The cost spend by the company can be used to calculate the premium. The data used were in the parameter form and were based on the secondary data from various sources. Those parameters were used to calculate the premium based on simulation. There were two focuses in this research, namely the health insurance of outpatient benefit with the additional of Covid-19 patients with random cost and fixed cost. Those two aspects did not show significant differences on the premium between the simulation with including Covid-19 risk or excluding Covid-19 risk, and the loss aggregate distribution model was normally distributed.Abstrak. Risiko yang dapat terjadi sewaktu-waktu menuntut manusia untuk mempunyai sebuah perlindungan, yang mana perlindungan tersebut dapat diperoleh melalui asuransi. Dalam asuransi terdapat asuransi kesehatan yang tergolong setidaknya menjadi dua manfaat yaitu manfaat rawat inap dan manfaat rawat jalan. Asuransi kesehatan manfaat rawat jalan merupakan manfaat asuransi yang menanggung biaya terhadap suatu rangkaian perawatan kesehatan yang tidak memerlukan opname. Dalam menghitung besar biaya yang harus dikeluarkan oleh perusahaan asuransi, digunakan penambahan decrement Covid-19 dan model distribusi kerugian aggregat. Biaya yang dikeluarkan perusahaan dapat digunakan untuk menghitung premi. Data yang digunakan merupakan data dalam bentuk parameter yang ditetapkan, yang mana parameter diperoleh berdasarkan data sekunder dari berbagai sumber. Parameter-parameter tersebut digunakan untuk melakukan penghitungan premi berdasarkan simulasi. Terdapat dua kasus yang menjadi fokus penelitian, yaitu asurasni kesehatan manfaat rawat jalan dengan penambahan penyebab covid dengan biaya acak dan tetap. Dari ke-2 kasus tidak menunjukkan perbedaan premi yang besar menunjukkan perbedaan kerugian agregat antara model simulasi dengan Covid-19 dan tanpa Covid-19, serta diperoleh model distribusi kerugian aggregat yaitu distribusi normal.

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Home Page

OAI Link

Editorial Team

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Contact Name Sutrisno Sutrisno

Contact Email s.sutrisno@live.undip.ac.id

Phone +62247474754

Journal Mail Official admin.math@live.undip.ac.id

Editorial Address Jl. Prof Soedarto, SH, Tembalang, Semarang, Indonesia 50275

Location Kota semarang, Jawa tengah INDONESIA

Abstract

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Abstract

Contact Name
Sutrisno Sutrisno

Contact Email
s.sutrisno@live.undip.ac.id

Phone
+62247474754

Journal Mail Official
admin.math@live.undip.ac.id

Editorial Address
Jl. Prof Soedarto, SH, Tembalang, Semarang, Indonesia 50275

Location
Kota semarang,

Jawa tengah

INDONESIA