Jurnal Riset Mahasiswa Matematika
Jurnal Riset Mahasiswa Matematika (JRMM) publishes current research articles in any area of Mathematics Research such as graph labelings, modeling, statistics, actuaria, optimal network problems, metric dimension, graph coloring, rainbow connection and other related topics. JRMM is published six times a year, namely in February, April, June, August, October, December JRMM is published by the Association of Indonesian Islamic Religious University Mathematics Lecturers and Department of Mathematics Universitas Islam Negeri Maulana Malik Ibrahim Malang (UIN Malang). All papers will be refereed in the normal manner of mathematical journals to maintain the high standards. JRMM is an open access journal. Full-text access to all papers is available for free. Jurnal Riset Mahasiswa Matematika (JRMM) has been indexed by Google Scholar
Articles
180 Documents
<![CDATA[Analisis Model Stokastik Penularan Virus Hepatitis B ]]>
<![CDATA[Laila, Arina Nur]]>;
<![CDATA[Pagalay, Usman]]>;
<![CDATA[Widayani, Heni]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 2, No 1 (2022): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v2i1.14467
<![CDATA[The spread of hepatitis B virus (HBV) infection has been widely studied using the deterministic SIR model, in which individuals who recover from acute infection have temporary immunity to the virus. However, this deterministic model uses a constant rate of viral infection over time. This is not in accordance with the fact that the infection rate is a random parameter that depends on time. This study discusses the analysis of the stochastic model of hepatitis B virus transmission. The purpose of this study is to construct the SIR stochastic model by dividing the infection rate into two, namely the rate of acute and chronic infection following the Wiener process. The model is then searched for an analytical solution referring to the Ito formula. The analytical solution and the Wiener process are described by substituting parameter values in the form of acute and chronic infection rates (β+α), cure rate (γ), and initial values (S(0) and I(0)) to obtain the mean value (μ). and the standard deviation (σ) of dS(t) and dI(t). The results of the simulation show that the number of infected individuals (I(t)) will decrease rapidly if (γ) is greater but will increase rapidly if (β+α) and (I(0)) are greater.]]>
<![CDATA[Dinamika Model Matematika Reaksi T-Helper ]]>
<![CDATA[Tribhuana, Chilvia]]>;
<![CDATA[Pagalay, Usman]]>;
<![CDATA[Susanti, Elly]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 1, No 5 (2022): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v1i5.14477
<![CDATA[T cells are a major component of the human immune system. These T cells have a number that varies depending on the body's immune response when fighting bacteria or viruses. However, the condition of excess immune cells in the body can also be dangerous. Theoretical studies on the dynamics of T-Helper cells in the body are needed to get the right simulation in treating patients without conducting medical tests on every patient on a daily basis. This study discusses the dynamics of the mathematical model of the T-Helper reaction with the influence of antigen and IL-2. From this study, two equilibrium points were obtained, namely disease-free equilibrium and endemic equilibrium. The use of parameter values from the experimental results shows that the disease-free equilibrium point is locally unstable, while the endemic equilibrium point is locally stable. The numerical simulation showed that the antigen increased from 1st day to the highest value at 0.926 on the 11th day until on the 20th day it started to be constant towards at the value which is the antigen could be activate the resting T-Helper. The process of activating T-Helper, create IL-2 which can stimulating the proliferation and activity of T-Helper cells, so they can divide the activated cell of T-Helper into two memory cells.]]>
<![CDATA[Penerapan Metode Fuzzy Simple Additive Weigting Pada Interpretasi Hasil Penilaian Promosi Jabatan Pegawai Negeri Sipil ]]>
<![CDATA[Reta, Tre Hayu Ria]]>;
<![CDATA[Alisah, Evawati]]>;
<![CDATA[Jauhari, Mohammad Nafie]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 2, No 5 (2023): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v2i5.22004
<![CDATA[The Fuzzy Simple Additive Weighting (FSAW) method is a mechanism that can be used to support decision making. This method was chosen because a ranking process was carried out to determine the weight value of each attribute, which would select employees who were worthy of occupying the promoted position. This study aims to determine the results of the application of the FSAW method in the assessment of civil servant promotion at the Malang City Education and Culture Office to increase objectivity and fairness in the assessment of employee promotion. Some problems that often occur in employee evaluation are the employee evaluation process which is still conventional so that it is less effective in calculation. The solution to overcome this problem is to use a Fuzzy Multi Attribute Decision Making (FMADM) decision support system with the FSAW method. This method requires a process to normalize the decision matrix (X) against a scale that can be compared with all available alternative values. After each attribute has been determined its weight value, the ranking process is used to select the best alternative for this study. The criteria used in this decision support system are SKP score, length of service, class, and education. The membership function used is the Triangular Fuzzy Number (TFN) representation. The results of the ranking calculation or the best value show the highest value, namely 1 from alternative 1 (employee 1) who is entitled to a promotion. It is expected that by using the FSAW method, the task of selectors will be able to more quickly and precisely identify employees who are worthy of occupying positions promoted based on the desired conditions.]]>
<![CDATA[Analisis Dinamik Model Penyebaran Tumor Otak dengan Respon Sel Imun ]]>
<![CDATA[Anggraini, Resti Dwi]]>;
<![CDATA[Pagalay, Usman]]>;
<![CDATA[Nashichuddin, Achmad]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 1, No 3 (2022): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v1i3.14339
<![CDATA[The brain tumor distribution model with immune cell response is in the form of a non-linear system of ordinary differential equations with five equations. Each equation describes how immune cells in the brain, namely macrophages ( ), CD8+ T cells ( ), TGF- cytokines ( ) and IFN- ( ) cytokines interact with tumor cells, namely glioma cells ( ). From the calculation of the equilibrium point, the tumor cell-free conditions (DFE) and the endemic conditions (END) were obtained, in which tumor cells in long-term conditions were always present in the patient's brain. By using certain parameter values, it can be illustrated that the END condition is locally asymptotically stable while the DFE condition is locally unstable. This indicates that brain tumor cells, namely glioma cells ( ) will increase to their maximum value of 882650 cells and remain at that number from day 1000 onwards.]]>
<![CDATA[Pengamanan Pesan Menggunakan Algoritma One Time Pad dengan Linear Congruential Generator sebagai Pembangkit Kunci ]]>
<![CDATA[Maghfiroh, Jamilatul]]>;
<![CDATA[Turmudi, Turmudi]]>;
<![CDATA[Susanti, Elly]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 2, No 3 (2023): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v2i3.16770
<![CDATA[Cryptography is one method that can be used to secure a message by hiding the original text. This study uses the One Time Pad (OTP) algorithm to secure a message and the Linear Congruential Generator (LCG) algorithm as a key generator. The purpose of this study is to describe the key generation process using the LCG algorithm, the encryption and decryption process of messages using the OTP algorithm. The process of encrypting and decrypting messages using the OTP algorithm requires a key as long as the original message and must be random. Therefore, a random number generation process is carried out using the LCG algorithm before encoding the message. The results of this study are the LCG algorithm is able to build dynamic keys with the condition that the length of the period must be greater than or equal to the length of the plaintext. The process of encoding messages using the OTP algorithm has a high level of security because the number of characters used is more and the process of sending messages is easier. The resulting ciphertext is a very random and unreadable message that is difficult to decipher.]]>
<![CDATA[Veerebradiah Lokesha Reciprocal Status Index pada Komplemen Graf Total Diperumum dari Ring Bilangan Bulat Modulo ]]>
<![CDATA[Armeyntan, Tata Sutrafia]]>;
<![CDATA[Turmudi, Turmudi]]>;
<![CDATA[Jauhari, Mohammad Nafie]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 3, No 4 (2024): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v3i4.26657
<![CDATA[Suppose R is a commutative ring and H is a subset of R. The complement of the generalized total graph is a simple graph with all the elements in R as points and two different points x and y are directly connected if and only if x and y are not elements of H. This study aims to determine the general form of the VLRS index in the generalized total graph complement of the integer ring modulo 2p where p greater than or equal to 3 is the prime number for H the set of zero divisors and H the set of units of the ring integer modulo 2p. The steps in this study are to determine the set of zero divisors and the set of units of the integer ring modulo 2p, determine the distance of each point in the complement of the generalized total graph of the ring of integers modulo 2p, determine the reciprocal state in the complement of the generalized total graph of the ring integer modulo 2p, and determine the VLRS index in the complement of the generalized total graph from the integer ring modulo 2p. The results of this study are related to the general form of the VLRS index on the complement of the generalized total graph of the 2p modulo integer ring where p is a prime number and p is greater than or equal to 3 with H the set of zero divisors and H the set of units of the 2p modulo integer ring.]]>
<![CDATA[Estimasi Parameter Capital Assets Pricing Model Dengan Metode Generalized Method of Moments Dalam Perhitungan Value At Risk ]]>
<![CDATA[Wahyuni, Diah Maghfiroh]]>;
<![CDATA[Aziz, Abdul]]>;
<![CDATA[Juhari, Juhari]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 1, No 1 (2021): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v1i1.13413
<![CDATA[Capital Assets Pricing Model merupakan persamaan regresi antara premi risiko aset terhadap premi risiko pasar. Risiko ada jika pembuat keputusan tidak memiliki data untuk menyusun suatu dugaan. Pendugaan tersebut dapat dilakukan dengan generalized method of moments.Penelitian ini bertujuan untuk mengetahui hasil estimasi parameter pada Capital Assets Pricing Model menggunakan Generalized Method of Moments pada data saham PT. Indofood Tbk., serta mendapatkan nilai Value at Risk pada data saham PT. Indofood Tbk..Hasil yang diperoleh yaitu : , m=1,2,…. Dengan nilai maka model regresi pada saham PT. Indofood Tbk.. yaitu . Dengan tingkat signifikansi 5%, investasi awal Rp10.000.000,00 , kerugian yang akan ditanggung oleh investor adalah Rp1.265.800,00 .]]>
<![CDATA[Implementasi Data Mining Menggunakan Algoritma C4.5 pada Klasifikasi Penjualan Hijab ]]>
<![CDATA[Husna, Faridatul]]>;
<![CDATA[Rahman, Hairur]]>;
<![CDATA[Juhari, Juhari]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 2, No 2 (2022): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v2i2.14891
<![CDATA[Indonesia is known as a country with a majority Muslim population, this makes the need for clothing in Indonesia must also pay attention to the criteria for Muslim clothing, one of which is the hijab. Business developments in the fashion world, especially hijab, have become a trend setter at this time so that the large amount of data in the fashion business world creates conditions where there are businesspeople who have a lot of data but lack of information from that data. To deal with these conditions, it is necessary to classify the data. A classification is a process to find the same properties in a data set to be classified into different classes. One of the classification methods is the Decision tree using the C4.5 Algorithm. This research aims to determine the model and the accuracy of the C4.5 algorithm in classifying hijab sales from several hijab brands. The Decision tree model is obtained using the C4.5 algorithm with the first root being the price attribute, where the first root is the attribute that most affected the sale of the hijab. The result of calculating the accuracy value is 87% so that the Decision tree model and the classification process using the C4.5 Algorithm are classified as good. This research is expected to help businesspeople in the fashion sector, especially hijab, to find out the factors that influence consumer interest in a hijab product.]]>
<![CDATA[Solusi Eksak Sistem Imun Terhadap Virus Ebola ]]>
<![CDATA[Aisyiyah, Amadhea Aisyatul]]>;
<![CDATA[Widayani, Heni]]>;
<![CDATA[Herawati, Erna]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 3, No 2 (2023): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v3i2.22449
<![CDATA[The Ebola virus is a deadly disease that causes blood clots in the body's organs and is spread through direct contact with the blood or body fluids of sufferers. Based on this, the immune system in the body will continue to decrease and cause Ebola Hemorrhagic Fever. The 2014-2016 Ebola outbreak in West Africa has accelerated the development of several preventive vaccines against the Ebola virus. The goal of the vaccination is to induce immunity against infectious diseases. And also to stimulate the immune system and its ability to store and remember information about specific pathogens, leading to long-term protective immunity. The model equation for the Ebola virus vaccine in this study involves the concentration of the antigen which is a variable , by means of which the vaccine is inserted into the patient's body where it will attach to B memory cells which are variable , which will then be stimulated by the cells short-lived antibodies are denoted by variables or long-lived cells are denoted by variables , while antibodies will prove efficacy denoted by variables on the patient's immune response. The simulation of the exact solution for the Ebola vaccine uses the integration factor method which will later be compared with numerical simulations according to the parameter values from the research of Irene Balelli et al (2020). The simulation obtained has a very small calculation error value for each variable, which means that the exact value of the Ebola virus vaccination model shows that there is no significant difference to the numerical solution using the order 45 Rungge Kutta method, the largest resulting numerical error is 2.29640283510782×〖10〗^9.]]>
<![CDATA[Optimasi Distribusi Biaya Transportasi Melalui Metode Modified Distribution ]]>
<![CDATA[Marzuki, Ahmed Syarief]]>;
<![CDATA[Juhari, Juhari]]>;
<![CDATA[Alisah, Evawati]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 1, No 6 (2022): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v1i6.14531
<![CDATA[Distribution is the action or process of supplying goods to stores and other businesses that sell to consumers. If a product or service is distributed from a company, it requires adequate means of transportation and usually requires too large distribution costs. Delivery of goods at this company does not use mathematical methods in calculating its distribution to several places correctly. The purpose of this research is to create an optimal, efficient and effective distribution model for this company by applying the North West Corner Method and the Modified Distribution Method in July, August and September 2021. North West Corner Method for the initial solution and Modified Distribution Method as the optimal solution is a variation of the Stepping Stone method. The results of this research show that the distribution costs incurred by the company after being calculated using the North West Corner Method and the Modified Distribution Method are Rp. 6,961,779, - from Rp. 7,000,000. Then these two methods are able to help companies save distribution costs incurred.]]>
