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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 135 Documents

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GENERAL UNCROSSING COVERING PATHS INSIDE THE AXIS-ALIGNED BOUNDING BOX Marco Ripà
Journal of Fundamental Mathematics and Applications (JFMA) Vol 4, No 2 (2021)
Publisher : Diponegoro University

Given the finite set of n_1⋅n_2⋅...⋅n_k points G(n_1,n_2,...,n_k) in R^???? such that n_k≥...≥n_2≥n_1∈Z+, we introduce a new algorithm, called MΛI, which returns an uncrossing covering path inside the minimum axis-aligned bounding box [0,n_1−1]×[0,n_2−1]×...×[0,n_k−1], consisting of 3⋅(n_1⋅n_2⋅...⋅n_k−1)−2 links of prescribed length n_k−1 units. Thus, for any n_k≥3, the link length of the covering path provided by our MΛI-algorithm is smaller than the cardinality of the set G(n_1,n_2,...,n_k). Furthermore, assuming k>2, we present an uncrossing covering path for G(3,3,...,3), comprising only 20*3^(k−3)−2 two units long edges, which is constrained by the axis-aligned bounding box [0,4−√3]×[0,4−√3]×[0,2]×...×[0,2].

IMPLEMENTASI METODE MULTINOMIAL NAÏVE BAYES CLASSIFIER UNTUK ANALISIS SENTIMEN Eva Liyan Woro Ningrum; Aris Puji Widodo
Journal of Fundamental Mathematics and Applications (JFMA) Vol 1, No 2 (2018)
Publisher : Diponegoro University

GO-JEK is an information technology-based service consisting of 3 main services, namely GO-JEK, GO-LIFE, and GO-PAY. As time goes by, customer complaints arise about the lack of satisfaction with GO-JEK services. One measure of GO-JEK customer service satisfaction can be acknowledged by way of analyzing sentiments on the data of public opinion twett submitted on the twitter official account, @gojekindonesia. In this research, sentiment analysis was carried out using the Naïve Bayes Classifier learning algorithm. The number of data twitts used is 9987. The twit data is labeled according to the class which includes positive, negative and neutral classes. Then the next process is data preprocessing consisting of cleansing, tokenization, filtering, stemming, and stopword removal. The evaluation method using 10-fold cross validation with the results obtained is precision value of 80%, recall of 80%, f1-score of 80%, maximum accuracy of 82% and average accuracy of 79%.

FUNGSI WRIGHT SEBAGAI SOLUSI ANALITIK PERSAMAAN DIFUSI-GELOMBANG FRAKSIONAL PADA MEDIA VISKOELASTIS Ray Novita Yasa; Agus Yodi Gunawan
Journal of Fundamental Mathematics and Applications (JFMA) Vol 3, No 1 (2020)
Publisher : Diponegoro University

A fractional diffusion-wave equations in a fractional viscoelastic media can be constructed by using equations of motion and kinematic equations of viscoelasticmaterial in fractional order. This article concerns the fractional diffusion-wave equations in the fractional viscoelastic media for semi-infinite regions that satisfies signalling boundary value problems. Fractional derivative was used in Caputo sense. The analytical solution of the fractional diffusion-wave equation in the fractional viscoelastic media was solved by means of Laplace transform techniques in the term of Wright function for simple form solution. For general parameters, Numerical Inverse Laplace Transforms (NILT) was used to determine the solution.

OPTIMAL CONTROL MODELLING OF COVID-19 OUTBREAK IN SEMARANG CITY INDONESIA Dhimas Mahardika; R. Heru Tjahjana; Sunarsih Sunarsih
Journal of Fundamental Mathematics and Applications (JFMA) Vol 3, No 2 (2020)
Publisher : Diponegoro University

Corona virus infection is lethal and life threatening to human life, for prevention it is necessary to carry out quarantined for a portion of susceptible, exposed, and infected population, this kind of quarantine is intended to reduce the spread of the corona virus. The optimal control that will be carried out in this research is conducting quarantine for a portion of susceptible, exposed, and infected individuals. This control function will be applied to the dynamic modelling of Covid-19 spread using Pontryagin Minimum Principle. We will describe the formulation of dynamic system of Covid-19 spread with optimal control, then we use Pontryagin Minimum Principle to find optimal solution of the control. The optimal control will aim to minimize the number of infected population and control measures. Numerical experiments will be performed to illustrate and compare the graph of Covid-19 spread model with and without control.

LOGISTIC MODEL DEVELOPMENT OF COVID-19 SPREAD WITH PHYSICAL DISTANCING INTERVENTION Okky Widya Arditya; Widowati Widowati; Sutimin Sutimin; R. Heru Tjahjana; Priyo Sidik Sasongko
Journal of Fundamental Mathematics and Applications (JFMA) Vol 4, No 1 (2021)
Publisher : Diponegoro University

In early 2020, covid-19 spread fast in the worldwide and cause the high death. The disease started from the Asian region which resulted in a viral pandemic in 2020. In order to anticipate the increasing of the cases, a strategy is needed to inhibit its transmission. The mathematical model approach is important tool for predicting of covid-19 spread in populations. In this paper we propose and analyze the dynamical behaviour of a developed logistic model by considering the effect of the contact patterns in reducing the covid-19 spread process. To verify the developed logistic model, numerical simulation was given with case study of covid-19 spread for patients under supervision in Central Java Province, Indonesia. Based on simulation results, it was found that physical distancing can reduce the growth of the covid-19 spread for patient under supervision. It can be seen from the number of covid-19 spread for patients under supervision with physical distancing intervention smaller compared to without physical distancing intervention.

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.

ANALISIS EMPIRIS TINGKAT KEPUASAN MAHASISWA PADA KUALITAS PELAYANAN DAN FASILITAS MENGGUNAKAN WEIGHTED LEAST SQUARES Nendra Mursetya Somasih Dwipa; Titis Sunanti
Journal of Fundamental Mathematics and Applications (JFMA) Vol 1, No 2 (2018)
Publisher : Diponegoro University

The present article aims to study the level of students’ satisfaction of PGRI Yogyakarta University towards service and facilities quality. To try and understand the factors which influence student satisfaction as well as consequences of it, this study test a weighted least squares model of student satisfaction. This study investigate determinant and dominant factors of the students’ satisfaction and its characteristics. The data were collected through a questionnaire administered to 160 students of PGRI Yogyakarta University to investigate their perceptions of the universities services. A questionnaire containing 30 questions has been used for data collection. The data were analyzed using the descriptive technique and the weighted least squares analysis. The measurement of the service quality is an important element to provide better, more efficient and more effective services. SPSS Software and Cronbach alpha index have been used for data analysis and reliability. The reliability factor should be improved first because it is dominant in determining the students’ satisfaction. Quality indicators constituting the reliability factor include classroom, library, laboratory, public area, and information system. The results show that, by percentage, 2 indicators are in the very good category, only 5 indicators are in the good category, 9 indicators are in the fairly good category, and 14 indicators are in the poor category. The results indicate that the universities service quality needs to be improving. The results of the analysis show that five determinant factors of the students’ satisfaction include tangibles, reliability, responsiveness, assurance, and empathy. By the priority scale, the reliability factor should be improved first because it is dominant in determining the students’ satisfactionThe present article aims to study the level of students’ satisfaction of PGRI Yogyakarta University towards service and facilities quality. To try and understand the factors which influence student satisfaction as well as consequences of it, this study test a weighted least squares model of student satisfaction. This study investigate determinant and dominant factors of the students’ satisfaction and its characteristics. The data were collected through a questionnaire administered to 160 students of PGRI Yogyakarta University to investigate their perceptions of the universities services. A questionnaire containing 30 questions has been used for data collection. The data were analyzed using the descriptive technique and the weighted least squares analysis. The measurement of the service quality is an important element to provide better, more efficient and more effective services. SPSS Software and Cronbach alpha index have been used for data analysis and reliability. The reliability factor should be improved first because it is dominant in determining the students’ satisfaction. Quality indicators constituting the reliability factor include classroom, library, laboratory, public area, and information system. The results show that, by percentage, 2 indicators are in the very good category, only 5 indicators are in the good category, 9 indicators are in the fairly good category, and 14 indicators are in the poor category. The results indicate that the universities service quality needs to be improving. The results of the analysis show that five determinant factors of the students’ satisfaction include tangibles, reliability, responsiveness, assurance, and empathy. By the priority scale, the reliability factor should be improved first because it is dominant in determining the students’ satisfaction.

BEBERAPA MODIFIKASI PADA ALGORITMA KRIPTOGRAFI AFFINE CIPHER Dian Eka Wijayanti
Journal of Fundamental Mathematics and Applications (JFMA) Vol 1, No 2 (2018)
Publisher : Diponegoro University

Affine Cipher Cryptography Technique is one of the techniques in classical cryptography which is quite simple so it is very vulnerable to cryptanalysis. Affine cipher's advantage is having an algorithm that can be modified with various techniques. The modifications that can be made to Affine Cipher is to combine Affine cipher's algorithm with other ciphers, replace Affine cipher's key with various functions and matrices and expand the space for plaintext and ciphertexts on Affine cipher. Affine cipher can also be applied to the stream cipher as a keystream generator. This research discusses several modifications of Affine cipher algorithm and performs several other modifications. These modifications are combining Affine Chiper and Vigenere Cipher on , combining Affine, Vigenere and Hill Cipher with invertible matrix applications on . Furthermore, a comparison of the three modifications will be carried out to obtain a new cryptographic method that is more resilient to the cryptanalysis process.

SOME RESULT OF NON-COPRIME GRAPH OF INTEGERS MODULO n GROUP FOR n A PRIME POWER Masriani Masriani; Rina Juliana; Abdul Gazir Syarifudin; I Gede Adhitya Wisnu Wardhana; Irwansyah Irwansyah; Ni Wayan Switrayni
Journal of Fundamental Mathematics and Applications (JFMA) Vol 3, No 2 (2020)
Publisher : Diponegoro University

One interesting topic in algebra and graph theory is a graph representation of a group, especially the representation of a group using a non-coprime graph. In this paper, we describe the non-coprime graph of integers modulo group and its subgroups, for is a prime power or is a product of two distinct primes.

NILAI KETAKTERATURAN TOTAL DARI EMPAT COPY GRAF BINTANG Corry Corazon Marzuki; Yusnita Sari; Abdussakir Abdussakir; Fitri Aryani
Journal of Fundamental Mathematics and Applications (JFMA) Vol 4, No 1 (2021)
Publisher : Diponegoro University

Misalkan adalah suatu graf dan adalah bilangan bulat positif. Pelabelan- total pada graf adalah suatu pemetaan Bobot titik dinyatakan dan bobot sisi dinyatakan Suatu pelabelan- total dikatakan tak teratur total, jika bobot setiap titik berbeda dan bobot setiap sisi berbeda. Nilai ketakteraturan total (totally irregularity strength) dari graf dinotasikan dengan adalah nilai minimum atau label terbesar minimum yang digunakan untuk melabeli graf dengan pelabelan-k total tak teratur total. Dalam makalah ini diperoleh nilai ketakteraturan total 4 copy graf bintan Sn adalah dengan merupakan bilangan bulat positif dan

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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