Jurnal Matematika, Statistika dan Komputasi
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Service Waiting Time Behavior of Express Maintenance (EM) Program of PT. Dunia Barusa Banda Aceh
Get PDFSurvival analysis is a statistical method that can be used to analyze duration time data of an event occurrence. This research uses secondary data from PT. Dunia Barusa branch Banda Aceh that collected from January to March 2017 which amounted to 107 data. The data is service waiting time (in minutes) of Express Maintenance (EM) program on sub section receptionist, service, final inspection, confirmation, technical complete, invoicing, customer notification and delivery. There are 4 functions analyzed, namely density probability function (PDF), cumulative distribution function (CDF), survival and hazard function. The study shows that the probability of a customer being in the waiting process of service tends to become smaller as the service waiting time become longer on each sub section of the EM program, as well as the probability to remain in the waiting process after the customer has been there within a certain period of time indicated by the survival function. The hazard function shows that the rate of a customer will be served instantaneously in the sub section receptionist, service, invoicing, customer notification and delivery changing over the time, while in the sub section of final inspection, technical complete and confirmation, the rates are constant over the time as high as 0.757, 0.794, and 3.336 respectively
Non-cash Payment Transaction Projection Using ARIMAX : Efect of Calendar
Get PDFAs the most Moslem country, economic activity in Indonesia is often parallel with the movement of Qamariah (lunar) calendar which is different with Gregorian calendar. Using calender variation, this research attempts to look for modified time series model for non-cash payment projection (forecast) aim. The result shows that calendar variation plays statistically significant role on non-cash payment, evidenced by significant payment in the month in which Eid Fitr occurs. The occurrence of Eid Fitr in the first and second week of the month is evidently characterized by increasing non-cash payment in one month earlier. The best model with highest accuracy for non-cash payment projection is ARIMAX(2,1,1) as it is able to capture the pattern, trend and fluctuation. It also suggests the peak of non-cash payment will be in December
Duality Property of Discrete Quaternion Fourier Transform
Get PDFWe introduce the discrete quaternionic Fourier transform (QDFT), which is generalization of discrete Fourier transform. We establish the version discrete of duality property duality related to the QDFT
Penerapan Metode Random Forest dalam Pengklasifikasian Penerima Kartu BPJS Kesehatan Penerima Bantuan Iuran (PBI) di Kabupaten Karangasem, Provinsi Bali 2017
Get PDFBPJS Kesehatan is a social security facility provided by the government to all people who are registered as members. BPJS Kesehatan membership is divided into two, namely BPJS for Contribution Assistance Recipients (BPJS PBI) and BPJS Non-Contribution Assistance Recipients (BPJS Non-PBI). In 2019, Bali Province is targeted to achieve Universal Health Coverage of 95 percent so that the Bali Provincial Government has budgeted funds worth IDR 945 billion to finance JKN - KBS services which are integrated with JKN - KIS. Karangasem is one of the four districts in Bali Province that received the most percentage of financing, which is 51 percent of the total budget needed when compared to other areas. This study aims to classify the BPJS-PBI recipient community based on education variables, employment indicators, age, and per capita expenditure in Karangasem Regency in 2017. The classification method used in this study is the random forest method. The results showed that the per capita expenditure variable had the largest contribution in classifying the status of PBI participants. The model that is formed produces an accuracy of 0.8017. This means that the model can predict 80.17 percent testing data correctly.BPJS Kesehatan merupakan fasilitas jaminan sosial yang diberikan oleh pemerintah kepada seluruh masyarakat yang terdaftar sebagai anggota. Keanggotaan BPJS Kesehatan dibagi menjadi dua, yaitu BPJS Penerima Bantuan Iuran (PBI) dan BPJS Non Penerima Bantuan Iuran (BPJS Non PBI). Pada tahun 2019, Provinsi Bali ditargetkan mencapai Universal Health Coverage sebesar 95 persen sehingga Pemerintah Provinsi Bali menganggarkan dana senilai Rp 945 miliar untuk pembiayaan layanan JKN - KBS yang diintegrasikan dengan JKN - KIS. Karangasem merupakan salah satu dari empat kabupaten di Provinsi Bali yang mendapatkan persentase pembiayaan paling banyak, yaitu sebesar 51 persen dari total anggaran yang dibutuhkan jika dibandingkan dengan wilayah lainnya. Penelitian ini bertujuan untuk mengklasifikasikan masyarakat penerima BPJS-PBI berdasarkan variabel pendidikan, indikator ketenagakerjaan, usia, dan pengeluaran per kapita di Kabupaten Karangasem tahun 2017. Metode klasifikasi yang digunakan dalam penelitian ini adalah metoderandom forest. Hasil penelitian menunjukan bahwa variabel pengeluaran per kapita memilikikontribusi terbesar dalam mengklasifikasikan status peserta PBI. Model yang terbentuk menghasilkanakurasi sebesar 0, 8017. Hal ini berarti model dapat mengklasifikasikan dengan tepat sebesar 80, 17persen
Stability Analysis of Model tuberculosis Spread in Diabetes Mellitus Patients with Treatment Factors
No full textDiabetes mellitus (Dm) is a disease associated with impaired immune function so it is more susceptible to get infections including Tuberculosis (Tb). Tb disease can also worsen blood sugar levels which can cause Dm disease. This study aims to analyze and determine the stability of the equilibrium point of the spread of Tb disease in patients with Dm with consideration nine compartments, which are susceptible Tb without Dm, susceptible Tb without Dm complication, susceptible Tb with Dm complication, expose Tb without Dm, expose Tb with Dm, infected Tb without Dm, infected Tb with Dm, recovered Tb without Dm, and recovered Tb with Dm with treatment factors. The result obtained from the analysis of the model is two equilibrium points, which are the non endemic and endemic equilibrium points. The endemic equilibrium point does not exist if , endemic will appear if . Analytical and numerical simulation show that the spread of disease can be reduced and stopped if treatment is given to the infected compartment
Clustering of District or City in Central Java Based COVID-19 Case Using K-Means Clustering
Get PDFCoronavirus Disease 2019 (COVID-19) is a new type of disease that has never been identified in humans. Severe cases of COVID-19 can cause acute respiratory syndrome, kidney failure, and even death. COVID-19 cases have spread all over the world, including in Indonesia. One province with a high number of COVID-19 cases is Central Java Province. Therefore, it is necessary to cluster districts or cities in Central Java based on the COVID-19 case to prevent the spread of COVID-19. Clustering the cases of COVID-19 is done using k-means clustering which is a method of clustering a number of data by means of partitions. The results show that cluster 2 and cluster 3 are areas that the government should pay more attention to because they are areas with a high number of active cases and the high death cases of COVID-19 in Central Java.
SEIPR-Mathematical Model of the Pneumonia Spreading in Toddlers with Immunization and Treatment Effects
Get PDFThis research discussed the SEIPR mathematical model on the spread of pneumonia among children under five years old. The development of the model was done by considering factors of immunization and treatment factors, in an effort to reduce the rate of spread of pneumonia. In this research, mathematical model construction, stability analysis, and numerical simulation were carried out to see the dynamics of pneumonia cases in the population. The model analysis produces two equilibrium points, which are the equilibrium point without the disease, the endemic equilibrium point, and the basic reproduction number ( ) as the threshold value for disease spread. The point of equilibrium without disease reaches a stable state at the moment , which indicates that pneumonia will disappear from the population, while the endemic equilibrium point reaches a stable state at that time , which indicates that the disease will spread in the population. Furthermore, numerical simulations show that increasing the rate parameters of infected individuals undergoing treatment ( ), the treatment success rate ( ), and the immunization proportion ( ), could suppress the basic reproductive number so that control of the disease spread rate can be accelerated
MODEL SPATIO TEMPORAL DATA CURAH HUJAN MENGGUNAKAN KALMAN FILTER DAN ALGORITMA EKSPEKTASI-MAKSIMISASI
Get PDFLocation and time dimension data modeling, also known as spatial-temporal data, generally has high complexity. This study analyzes a spatial-temporal model of rainfall data and climate variables, namely temperature, and humidity. The complexity of the relationship between variables and parameters in the spatial-temporal model is simplified by a hierarchical approach. The parameter estimation of the ratio-temporal model uses the Kalman Filter approaches and the Expectation-Maximization (EM) method combined with the bootstrap method to calculate the standard error estimation. Implementation of the spatial-temporal model on rainfall data in South Sulawesi Province with temperature and humidity shows that there is a relationship between rainfall and temperature and humidity.Pemodelan data berdimensi lokasi dan waktu atau dikenal sebagai data spasial-temporal, umumnya memiliki kompleksitas yang tinggi. Penelitian ini menganalisis pola data curah hujan menggunakan model spasial-temporal dan hubungannya dengan variable iklim yakni temperatur dan kelembaban. Kompleksitas hubungan antara variabel dan parameter dalam model spasial-temporal disederhanakan dengan pendekatan hierarki. Estimasi parameter model spasio-temporal menggunakan pendekatan Kalaman Filter dan metode Ekspektasi-Maksimisasi (EM) yang dikombinasikan dengan metode bootstrap untuk menghitung standar eror penaksiran parameter. Implementasi model spasial-temporal pada data curah hujan di Provinsi Sulawesi Selatan dengan kovariat temperatur dan kelembaban udara menunjukkan bahwa terdapat hubungan antara curah hujan dengan temperatur dan kelembaban
Partition Dimension of Complete Multipartite Graph
Get PDFDetermining a resolving partition of a graph is an interesting study in graph theory due to many applications like censor design, compound classification in chemistry, robotic navigation and internet network. Let and , the distance between an is . For an ordered partition of , the representation of with respect to is . The partition is called a resolving partition of if all representation of vertices are distinct. The partition dimension of graph is the smallest integer such that has a resolving partition with element.In this thesis, we determine the partition dimension of complete multipartite graph , which is limited by , with and . We found that , , and ,
Sentiment Analysis of Southeast Asian Games (SEA Games) in Philippines 2019 Based on Opinion of Internet User of Social Media Twitter with K-Nearest Neighbor and Support Vector Machine
Get PDFSports events are an activity that is in great demand, especially the people of Southeast Asia. One of the most prestigious sporting events in the Southeast Asian region is the Southeast Asian Games (SEA Games). SEA Games is one of the sporting events held in the Southeast Asia region and is only held every two years involving eleven member countries of the Association of South East Asian Nations (ASEAN). The most SEA Games issues occurred on Twitter with 20,600 tweets. This is because the 2019 SEA Games event in the Philippines experienced many irregularities, one of which is the Rizal Memorium stadium, which has not been renovated until now. The purpose of this study is to obtain and compare the results of the accuracy of the classification of Twitter users\u27 sentiments towards the 2019 SEA Games in the Philippines using k-nearest neighbor and support vector machine. The data used in this study comes from data from Twitter social media users who often use the hashtag "SEA Games 2019" which has been done with text preprocessing of 2697 tweets with data partitions of 60% for training data and 40% for testing data. The conclusion that can be drawn from this research is that the best accuracy results in the k-nearest neighbor and support vector machine classification are the support vector machine classification with a polynomial kernel of 92.96% so that the predictions of the Support Vector Machine classification tend to be negative.