Alpha Epsilon Journal of Mathematics

Penerapan Algoritma Welch Powell Untuk Menyusun Jadwal Mata Kuliah Di IST Annuqayah

Inda Arundani — 2025-01-28

Graph coloring is the giving of color to certain objects in the graph. These objects can be nodes, edges, and regions. This study aims to look at the process and results of graph coloring using the Welch Powell Algorithm in the preparation of class schedules for the Mathematics and Biology Study Program, Faculty of Mathematics and Natural Sciences, Annuqayah Institute of Science and Technology. The type of research used is descriptive qualitative research. The object of research in this study is the list of lecturers, list of courses, lecture active hours, and the number of rooms used. Data analysis was carried out by modeling a list of lecturers with a list of courses into a graph and determining the minimum color in the coloring process using Welch Powell's algorithm. In this research, we know the performance of the Welch Powell algorithm in compiling schedules for each study program and combined scheduling. Based on the scheduling results, it can be concluded that the application of Welch Powell's algorithm for combined scheduling is more effective and more efficient to use than scheduling for each study program. In addition to not overlapping between courses, it can also save space.

Implementasi Metode Regresi Linear Berganda Dalam Memprediksi Santri Baru Di Pondok Pesantren Al-Falah Sumber Gayam

Khalishatus Shafariyah — 2025-01-29

Al-Falah Islamic Boarding School Sumber Gayam, Kec. Kadur, Kab. Pamekasan is one of the boarding schools that fluctuates in terms of the number of new students each year. Therefore, predictions are very necessary to find out the number of new students who will register in the following year. The aim is to help the committee for accepting new students to be ready to prepare the boarding facilities as well as possible. The multiple linear regression method is the method used in this research to predict future conditions using previous data and to determine whether or not there is an influence exerted by the independent variable on the dependent variable. Annual student alumni data, boarding school facilities, annual fees and data on outstanding students are variables that are thought to influence the number of new students in 2023-204 by calculating MAPE and RMSE errors. The results of the research obtained as many as 98 new students based on testing the r2, r, F test and t test based on the sig value. < 0.05 which was calculated manually and SPSS version 26 calculations. The results show that the variables studied have a significant effect on the number of new students registering in 20232024 with a MAPE accuracy of 0.02% and an RMSE accuracy of 0.66%, this shows that the ability of the forecasting model formed can be said to be good or accurate.

Penerapan Metode Weight Product (WP) dalam Seleksi Penerima Beasiswa di SMAT Insan Hanifa Sumber Payung

Faruq Kushartono — 2025-01-28

This study aims to design a decision support system for identifying scholarship recipients using the Weighted Product method at SMAT Insan Hanifa Sumber Payung. The Weighted Product (WP) method is a commonly used technique in decision-making. Out of a total of 42 students, the decision support system will select 15 eligible students for the scholarship based on calculations using the WP method. The research results show that D31 achieved the highest score with a value of 0.030735641. This indicates that student D31 and 14 other students meet the criteria set as potential scholarship recipients. Additionally, the designed system is also rated well with a satisfaction level of 86.1%

Analisis Metode Rantai Markov Untuk Memprediksi Status Pasien Di Pusat Kesehatan Masyarakat (Puskesmas) Guluk-Guluk Kabupaten Sumenep

Ulfatul Husna — 2025-01-29

Markov chains are a method for predicting future events using certain techniques from current data. One application of the Markov Chain method is related to event prediction, such as predicting the number of patient statuses in a health center. It is hoped that predicting the number of patient statuses can be used in various program planning. This research using the Markov Chain method uses patient data in May 2023 at the Guluk-Guluk Health Center, Sumenep Regency. The data is analyzed to determine the transition from one state to another, then converted into a transition probability matrix and then searched for the steady state (equilibrium). Apart from being searched using the transition probability matrix, the steady state can be found using the substitution method. If the result values are aqual then the two method processes carried out are correct. The results of this research state that the Guluk-Guluk Community Health Center will experience steady state conditions that will occur in December 2024, with equilibrium conditions occurring in the 20^th period. The respective transition probability values are 94.2% for improving conditions, 4 .9% for normal conditions, and 0.9% for severe conditions.

Solusi Numerik Model Matematika Pada Kasus Kecanduan Media Sosial Tiktok Di Pondok Pesantren Annuqayah Latee II Menggunakan Metode Runge Kutta

Siti Romlah — 2025-01-29

TikTok social media is a medium that can develop users' creativity, but most users compete to express themselves due to frequently viewing content so that they are obsessed with creating content and continuously trying various content movements. This can result in an addiction to viewing or addiction to TikTok content movements. Modifying the TikTok social media addiction model is one of the objectives of this research, starting by distributing a questionnaire to 100 respondents. Next, a programming simulation was carried out using the Runge Kutta Butcher method with Python tools. With the results, the Runge Kutta Butcher method can provide high accuracy and is effective in solving the SEIIRS model. The population increased with an increase of 18 individuals exposed, indicating the possibility of movement of susceptible individuals. The decline in infected populations 1 and 2 shows that individuals in these populations are slowly becoming recovered individuals. Based on the findings of this research, it can be concluded that Santri PP Annuqayah Latee II had previously experienced TikTok addiction and would return to normal status (cured but vulnerable) on Day 200.