Strategy in a competitive video game is needed to reach a successful game, for example, Valorant. Route planning is one of the strategies in playing games. In consideration of making a new strategy, this research develops a binary integer programming (BIP) model to generating optimal route depending on passable paths, travel time, kills, and survivability. By using POM QM for Windows to compute the model, we obtained optimal modified routes that can be combined in the role and agent composition.
在竞技视频游戏中，要想取得成功，就必须制定策略，例如《Valorant》。路线规划是游戏中的策略之一。为了制定新的策略，本研究开发了一种二元整数编程（BIP）模型，根据可通行路径、行进时间、杀伤力和生存能力生成最优路线。通过使用 POM QM for Windows 计算该模型，我们获得了可与角色和代理组合相结合的最佳修改路线。
{"title":"Valorant Haven Strategy Using BIP and Weighted Graph","authors":"Ermelinda Benna Kireyna, Jovian Dian Pratama, Mauliddino Rizky Pratama, Sri Lutfiya Dwiyeni, Apni Diyanti, Bernardinus Rico Dewanto, Sunarsih","doi":"10.31605/jomta.v6i1.3511","DOIUrl":"https://doi.org/10.31605/jomta.v6i1.3511","url":null,"abstract":"Strategy in a competitive video game is needed to reach a successful game, for example, Valorant. Route planning is one of the strategies in playing games. In consideration of making a new strategy, this research develops a binary integer programming (BIP) model to generating optimal route depending on passable paths, travel time, kills, and survivability. By using POM QM for Windows to compute the model, we obtained optimal modified routes that can be combined in the role and agent composition.","PeriodicalId":313373,"journal":{"name":"Journal of Mathematics: Theory and Applications","volume":"29 1‐2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140698420","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-06DOI: 10.31605/jomta.v6i1.3594
Wahidah Sanusi
Peristiwa banjir dan kekeringan merupakan dua peristiwa yang masih menjadi topik menarik bagi para peneliti karena kedua peristiwa tersebut merugikan kelangsungan hidup manusia, baik secara langsung maupun tidak langsung. Kedua fenomena tersebut juga tidak dapat dipastikan kapan mulai atau berakhirnya, sehingga diperlukan suatu model probabilistik seperti model rantai Markov. Model ini dapat menggambarkan karakteristik curah hujan, seperti nilai peluang, durasi dan periode ulang kejadian basah dan kering. Penentuan peluang transisi suatu model rantai Markov dapat dilakukan dengan menggunakan pendekatan klasik maupun pendekatan Bayes. Penelitian ini bertujuan untuk menentukan peluang transisi model rantai Markov menggunakan pendekatan Bayes empirik, dan untuk memperoleh gambaran karakteristik curah hujan Kota Makassar. Penelitian ini menggunakan data curah hujan bulanan dari empat stasiun curah hujan di Kota Makassar untuk periode tahun 1988 sampai 2017. Data diperoleh dari Dinas Pengelolaan Sumber Daya Air dan Balai Besar Badan Meteorologi, Klimatologi, dan Geofisika Wilayah IV Provinsi Sulawesi Selatan. Berdasarkan estimasi Bayes empirik peluang transisi model Rantai Markov, hasil penelitian ini menunjukkan bahwa kota Makassar akan mengalami keadaan basah dua bulan berturut-turut, begitupun dengan keadaan kering. Selain itu, hasil penelitian ini juga menunjukkan bahwa pada umumnya kota Makassar akan lebih sering mengalami keadaan basah dibanding keadaan lainnya dengan rata-rata durasi keadaan basah sekitar 7 bulan.
{"title":"Estimasi Bayes Empirik pada Model Rantai Markov untuk Menggambarkan Karakteristik Curah Hujan di Kota Makassar","authors":"Wahidah Sanusi","doi":"10.31605/jomta.v6i1.3594","DOIUrl":"https://doi.org/10.31605/jomta.v6i1.3594","url":null,"abstract":"Peristiwa banjir dan kekeringan merupakan dua peristiwa yang masih menjadi topik menarik bagi para peneliti karena kedua peristiwa tersebut merugikan kelangsungan hidup manusia, baik secara langsung maupun tidak langsung. Kedua fenomena tersebut juga tidak dapat dipastikan kapan mulai atau berakhirnya, sehingga diperlukan suatu model probabilistik seperti model rantai Markov. Model ini dapat menggambarkan karakteristik curah hujan, seperti nilai peluang, durasi dan periode ulang kejadian basah dan kering. Penentuan peluang transisi suatu model rantai Markov dapat dilakukan dengan menggunakan pendekatan klasik maupun pendekatan Bayes. Penelitian ini bertujuan untuk menentukan peluang transisi model rantai Markov menggunakan pendekatan Bayes empirik, dan untuk memperoleh gambaran karakteristik curah hujan Kota Makassar. Penelitian ini menggunakan data curah hujan bulanan dari empat stasiun curah hujan di Kota Makassar untuk periode tahun 1988 sampai 2017. Data diperoleh dari Dinas Pengelolaan Sumber Daya Air dan Balai Besar Badan Meteorologi, Klimatologi, dan Geofisika Wilayah IV Provinsi Sulawesi Selatan. Berdasarkan estimasi Bayes empirik peluang transisi model Rantai Markov, hasil penelitian ini menunjukkan bahwa kota Makassar akan mengalami keadaan basah dua bulan berturut-turut, begitupun dengan keadaan kering. Selain itu, hasil penelitian ini juga menunjukkan bahwa pada umumnya kota Makassar akan lebih sering mengalami keadaan basah dibanding keadaan lainnya dengan rata-rata durasi keadaan basah sekitar 7 bulan.","PeriodicalId":313373,"journal":{"name":"Journal of Mathematics: Theory and Applications","volume":"41 14","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140733853","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-06DOI: 10.31605/jomta.v6i1.3241
Wahyudin Nur, Darmawati
Rabies is a zoonotic disease which is spread by animals mostly carnivores. Rabies regards as tropic disease. In this article, we construct a mathematical model for rabies involving dog vaccination and dog population management. The model has two equilibrium points, namely rabies-free equilibrium point and endemic equilibrium point. We determine the effective reproduction ratio using next generation matrix. Our dynamical analysis shows that rabies-free equilibrium point is conditionally stable. A global sensitivity analysis is performed to investigate which intervention is the most crucial among the two interventions considered in the model. We use Latin hypercube sampling method to generate parameter space. To investigate the parameter sensitivity, we calculate the partial rank correlation coefficient. We provide numerical experimental results related to stability and global sensitivity analysis. Our results show that the effective reproduction ratio is more sensitive to dog population management than vaccination intervention. This suggests that dog population management intervention, such as sterilization and monitoring of dog movements significantly reduces the effective reproduction ratio compared to vaccination programs. In addition, the number of infectious dogs has a strong correlation with dog culling actions.
{"title":"Global Sensitivity Analysis of A Rabies Epidemic Model involving Dog Vaccination and Dog Population Management","authors":"Wahyudin Nur, Darmawati","doi":"10.31605/jomta.v6i1.3241","DOIUrl":"https://doi.org/10.31605/jomta.v6i1.3241","url":null,"abstract":"Rabies is a zoonotic disease which is spread by animals mostly carnivores. Rabies regards as tropic disease. In this article, we construct a mathematical model for rabies involving dog vaccination and dog population management. The model has two equilibrium points, namely rabies-free equilibrium point and endemic equilibrium point. We determine the effective reproduction ratio using next generation matrix. Our dynamical analysis shows that rabies-free equilibrium point is conditionally stable. A global sensitivity analysis is performed to investigate which intervention is the most crucial among the two interventions considered in the model. We use Latin hypercube sampling method to generate parameter space. To investigate the parameter sensitivity, we calculate the partial rank correlation coefficient. We provide numerical experimental results related to stability and global sensitivity analysis. Our results show that the effective reproduction ratio is more sensitive to dog population management than vaccination intervention. This suggests that dog population management intervention, such as sterilization and monitoring of dog movements significantly reduces the effective reproduction ratio compared to vaccination programs. In addition, the number of infectious dogs has a strong correlation with dog culling actions.","PeriodicalId":313373,"journal":{"name":"Journal of Mathematics: Theory and Applications","volume":"28 13","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140734654","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-05DOI: 10.31605/jomta.v6i1.2999
K. Khadijah, Hikmah Hikmah, Fardinah Fardinah, Apriyanto Apriyanto, N. Nurhidayah, Sri Dian Lestari
Inflasi merupakan salah satu parameter untuk mengukur kestabilan perekonomian di Indonesia. Menjaga stabilitas perekonomian dapat dilakukan dengan mengendalikan laju inflasi. Pengendalian laju inflasi, selain melalui kebijakan yang ditetapkan pemerintah juga dapat dilakukan dengan meramalkan inflasi untuk periode selanjutnya. Peran serta setiap wilayah di Indonesia sangat diperlukan, termasuk Provinsi Sulawesi Selatan yang memiliki 5 kota Indeks Harga Konsumen (IHK) yakni Kota Bulukumba, Watampone, Makassar, Parepare dan Palopo. Inflasi merupakan data deret waktu bulanan yang diduga dipengaruhi oleh aspek antar lokasi dan variabel eksogen. Peramalan inflasi yang melibatkan efek waktu, lokasi dan variabel eksogen dapat menggunakan Generalized Space Time Autoregressive with Exogenous Variable (GSTARX). Penelitian ini, meramalkan inflasi 5 kota di Sulawesi Selatan menggunakan GSTARX dengan variabel eksogen yaitu IHK serta pembobot lokasi yang digunakan adalah bobot seragam dan invers jarak. Penelitian ini bertujuan untuk mendapatkan model peramalan yang sesuai dan mengetahui hasil peramalan inflasi pada 5 kota di Sulawesi Selatan. Hasil penelitian menunjukkan bahwa model GSTARX adalah model yang cocok dan hasil peramalan inflasi 5 kota di Sulawesi Selatan menunjukkan bahwa pembobot invers jarak memiliki akurasi yang lebih baik karena nilai rata-rata RMSE bobot invers jarak lebih kecil dibanding bobot seragam. Akan tetapi, terdapat selisih yang cukup besar antara hasil peramalan dengan data out-sample (aktual). Efek spasial secara menyeluruh belum mampu dijelaskan oleh kedua bobot yang digunakan menjadi penyebabnya.
{"title":"Model Generalized Space Time Autoregressive with Variable Exogenous (GSTARX) Dalam Meramalkan Data Inflasi di Sulawesi Selatan","authors":"K. Khadijah, Hikmah Hikmah, Fardinah Fardinah, Apriyanto Apriyanto, N. Nurhidayah, Sri Dian Lestari","doi":"10.31605/jomta.v6i1.2999","DOIUrl":"https://doi.org/10.31605/jomta.v6i1.2999","url":null,"abstract":"Inflasi merupakan salah satu parameter untuk mengukur kestabilan perekonomian di Indonesia. Menjaga stabilitas perekonomian dapat dilakukan dengan mengendalikan laju inflasi. Pengendalian laju inflasi, selain melalui kebijakan yang ditetapkan pemerintah juga dapat dilakukan dengan meramalkan inflasi untuk periode selanjutnya. Peran serta setiap wilayah di Indonesia sangat diperlukan, termasuk Provinsi Sulawesi Selatan yang memiliki 5 kota Indeks Harga Konsumen (IHK) yakni Kota Bulukumba, Watampone, Makassar, Parepare dan Palopo. Inflasi merupakan data deret waktu bulanan yang diduga dipengaruhi oleh aspek antar lokasi dan variabel eksogen. Peramalan inflasi yang melibatkan efek waktu, lokasi dan variabel eksogen dapat menggunakan Generalized Space Time Autoregressive with Exogenous Variable (GSTARX). Penelitian ini, meramalkan inflasi 5 kota di Sulawesi Selatan menggunakan GSTARX dengan variabel eksogen yaitu IHK serta pembobot lokasi yang digunakan adalah bobot seragam dan invers jarak. Penelitian ini bertujuan untuk mendapatkan model peramalan yang sesuai dan mengetahui hasil peramalan inflasi pada 5 kota di Sulawesi Selatan. Hasil penelitian menunjukkan bahwa model GSTARX adalah model yang cocok dan hasil peramalan inflasi 5 kota di Sulawesi Selatan menunjukkan bahwa pembobot invers jarak memiliki akurasi yang lebih baik karena nilai rata-rata RMSE bobot invers jarak lebih kecil dibanding bobot seragam. Akan tetapi, terdapat selisih yang cukup besar antara hasil peramalan dengan data out-sample (aktual). Efek spasial secara menyeluruh belum mampu dijelaskan oleh kedua bobot yang digunakan menjadi penyebabnya.","PeriodicalId":313373,"journal":{"name":"Journal of Mathematics: Theory and Applications","volume":"9 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140739577","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-05DOI: 10.31605/jomta.v6i1.3096
E. Kurniadi
In this paper, we study symplectic form on low dimensional real Lie algebra. A symplectic form is very important in classifying of Lie algebra types. Based on their dimension and certain conditions, there are two types of Lie algebras. A lie algebra with odd dimension endowed with one-form such that is called a contact Lie algebra, while a Lie algebra whose dimension is even and it is endowed with zero index is called a Frobenius Lie algebra. The research aimed to give explicit formula of a symplectic form of low dimensional contact Lie algebras and Frobenius Lie algebras. We established that a one-form associated to simplectic form determine a type of a Lie algebra whether a contact or a Frobenius Lie algebras.To clearer the main results, we give some examples of one-form and symplectic form of Frobenius and contact Lie algebras.
{"title":"Symplectic Form yang Berkaitan Dengan Satu-form Suatu Aljabar Lie Berdimensi Rendah","authors":"E. Kurniadi","doi":"10.31605/jomta.v6i1.3096","DOIUrl":"https://doi.org/10.31605/jomta.v6i1.3096","url":null,"abstract":"In this paper, we study symplectic form on low dimensional real Lie algebra. A symplectic form is very important in classifying of Lie algebra types. Based on their dimension and certain conditions, there are two types of Lie algebras. A lie algebra with odd dimension endowed with one-form such that is called a contact Lie algebra, while a Lie algebra whose dimension is even and it is endowed with zero index is called a Frobenius Lie algebra. The research aimed to give explicit formula of a symplectic form of low dimensional contact Lie algebras and Frobenius Lie algebras. We established that a one-form associated to simplectic form determine a type of a Lie algebra whether a contact or a Frobenius Lie algebras.To clearer the main results, we give some examples of one-form and symplectic form of Frobenius and contact Lie algebras. ","PeriodicalId":313373,"journal":{"name":"Journal of Mathematics: Theory and Applications","volume":"14 14","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140738868","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This study discusses the Leslie-Gower predator-prey model with the Sokol-Howell response function and anti-predator behavior. It is assumed that prey has anti-predator behavior that aims to reduce the risk of predation and not as an attempt by prey to find food. This study aims to formulate a Leslie-Gower predator-prey model with the Sokol-Howell response function and anti-predator behavior, analyze the model's equilibrium point and model interpretation. Stability analysis was carried out using the linearization method. The type of stability is determined based on the characteristic eigenvalues obtained using Routh-Hurwitz criteria. The results of the analysis of the equilibrium point show that prey populations will exist and predators will become extinct if the anti-predator coefficient is greater than the intrinsic growth coefficient of predators, while prey and predator populations will always exist if the intrinsic growth coefficient of predators is greater than the anti-predator coefficient and fulfills other conditions required. Based on the numerical simulations performed, the interpretation is that an enlarged anti-predator coefficient increases the number of prey populations until they approach the carrying capacity, while predator populations decrease significantly and over time experience extinction.
{"title":"Model Predator-Prey Leslie-Gower dengan Fungsi Respon Sokol-Howell dan Perilaku Anti Predator","authors":"Fardinah, Darma Ekawati, Hikmah Hikmah, Hirman Rachman","doi":"10.31605/jomta.v6i1.2971","DOIUrl":"https://doi.org/10.31605/jomta.v6i1.2971","url":null,"abstract":"This study discusses the Leslie-Gower predator-prey model with the Sokol-Howell response function and anti-predator behavior. It is assumed that prey has anti-predator behavior that aims to reduce the risk of predation and not as an attempt by prey to find food. This study aims to formulate a Leslie-Gower predator-prey model with the Sokol-Howell response function and anti-predator behavior, analyze the model's equilibrium point and model interpretation. Stability analysis was carried out using the linearization method. The type of stability is determined based on the characteristic eigenvalues obtained using Routh-Hurwitz criteria. The results of the analysis of the equilibrium point show that prey populations will exist and predators will become extinct if the anti-predator coefficient is greater than the intrinsic growth coefficient of predators, while prey and predator populations will always exist if the intrinsic growth coefficient of predators is greater than the anti-predator coefficient and fulfills other conditions required. Based on the numerical simulations performed, the interpretation is that an enlarged anti-predator coefficient increases the number of prey populations until they approach the carrying capacity, while predator populations decrease significantly and over time experience extinction.","PeriodicalId":313373,"journal":{"name":"Journal of Mathematics: Theory and Applications","volume":"60 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140739414","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-05DOI: 10.31605/jomta.v6i1.3353
Try Azisah Nurman, Andi Mariani, R. Rahmat
Penelitian ini mengkaji mengenai penyelesaian masalah persamaan polinomial dengan membandingkan Metode Muller dan Metode Newton-Raphson dengan Dekomposisi Adomian yang Dimodifikasi menggunakan bantuan program Python berdasarkan nilai akar, nilai galat, dan jumlah iterasi. Persamaan polinomial dalam satu variabel ditetapkan sama dengan nol. Persamaan yang digunakan dalam penelitian ini ialah persamaan polinomial berderajat 5 dan persamaan polinomial berderajat 6. Hasil penelitian menunjukkan bahwa Metode Muller memperoleh nilai akar berbentuk real, iterasi yang lebih banyak dan nilai galat yang masih besar. Sedangkan pada Metode Newton-Rapshon dengan Dekomposisi Adomian yang Dimodifikasi memperoleh nilai akar berbentuk real, iterasi yang lebih sedikit dan nilai galatnya kecil. Dengan demikian, metode terbaik yang dapat digunakan dalam menyelesaikan masalah persamaan polinomial ialah metode Newton-Raphson dengan Dekomposisi Adomian yang dimodifikasi.
{"title":"Perbandingan Metode Muller dan Metode Newton-Raphson dengan Dekomposisi Adomian yang Dimodifikasi dalam Menyelesaikan Persamaan Polinomial","authors":"Try Azisah Nurman, Andi Mariani, R. Rahmat","doi":"10.31605/jomta.v6i1.3353","DOIUrl":"https://doi.org/10.31605/jomta.v6i1.3353","url":null,"abstract":"Penelitian ini mengkaji mengenai penyelesaian masalah persamaan polinomial dengan membandingkan Metode Muller dan Metode Newton-Raphson dengan Dekomposisi Adomian yang Dimodifikasi menggunakan bantuan program Python berdasarkan nilai akar, nilai galat, dan jumlah iterasi. Persamaan polinomial dalam satu variabel ditetapkan sama dengan nol. Persamaan yang digunakan dalam penelitian ini ialah persamaan polinomial berderajat 5 dan persamaan polinomial berderajat 6. Hasil penelitian menunjukkan bahwa Metode Muller memperoleh nilai akar berbentuk real, iterasi yang lebih banyak dan nilai galat yang masih besar. Sedangkan pada Metode Newton-Rapshon dengan Dekomposisi Adomian yang Dimodifikasi memperoleh nilai akar berbentuk real, iterasi yang lebih sedikit dan nilai galatnya kecil. Dengan demikian, metode terbaik yang dapat digunakan dalam menyelesaikan masalah persamaan polinomial ialah metode Newton-Raphson dengan Dekomposisi Adomian yang dimodifikasi.","PeriodicalId":313373,"journal":{"name":"Journal of Mathematics: Theory and Applications","volume":"129 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140740565","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-26DOI: 10.31605/jomta.v5i1.2782
Analisis Hubungan, Antara Nilai, Mata Kuliah, Metode Statistika, D. Mata, Kuliah Teori, Peluang Pada, Mahasiswa Statistika, Korelasi Somers', D. Reski, W. Yanti, Retno Mayapada, Andi Sri, Rahayu Kasma, Syandriana Syarifuddin, Andi Seppewali, Teori Peluang
The subjects studied at university are often interrelated and form an intact of complete knowledge. This study aims to analyze the asymmetrical relationship between Statistical Methods scores and Probability Theory scores in Statistics students through Somers' d correlation analysis. Based on the analysis performed, it was found that there was a strong correlation (0.612 and 0.716) between the scores obtained by students in the Statistical Methods and Probability Theory. The analysis also shows that the scores of the Statistical Method that students obtained has a significant influence on students' Probability Theory scores. So it can be concluded, that the higher the student's Statistical Method score obtained in the early semester, the higher the chance for students to get high Probability Theory scores in the following semester.
{"title":"Analisis Hubungan antara Nilai Mata Kuliah Metode Statistika dan Mata Kuliah Teori Peluang pada Mahasiswa Statistika dengan Korelasi Somers' D","authors":"Analisis Hubungan, Antara Nilai, Mata Kuliah, Metode Statistika, D. Mata, Kuliah Teori, Peluang Pada, Mahasiswa Statistika, Korelasi Somers', D. Reski, W. Yanti, Retno Mayapada, Andi Sri, Rahayu Kasma, Syandriana Syarifuddin, Andi Seppewali, Teori Peluang","doi":"10.31605/jomta.v5i1.2782","DOIUrl":"https://doi.org/10.31605/jomta.v5i1.2782","url":null,"abstract":"The subjects studied at university are often interrelated and form an intact of complete knowledge. This study aims to analyze the asymmetrical relationship between Statistical Methods scores and Probability Theory scores in Statistics students through Somers' d correlation analysis. Based on the analysis performed, it was found that there was a strong correlation (0.612 and 0.716) between the scores obtained by students in the Statistical Methods and Probability Theory. The analysis also shows that the scores of the Statistical Method that students obtained has a significant influence on students' Probability Theory scores. So it can be concluded, that the higher the student's Statistical Method score obtained in the early semester, the higher the chance for students to get high Probability Theory scores in the following semester.","PeriodicalId":313373,"journal":{"name":"Journal of Mathematics: Theory and Applications","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121027696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-24DOI: 10.31605/jomta.v5i1.2751
Rahmat Syam, Wahidah Sanusi, Muhammad Abdy, M. Farhan
Penyebaran COVID-19 di Indonesia pada tahun 2019 sangat tinggi, salah satu wilayah dengan angka terinfeksi tertinggi ialah di Provinsi Sulawesi Selatan. Sikap yang diambil pemerintah dalam menanganinya yaitu dengan memberikan vaksin ke seluruh wilayah Indonesia. Vaksin yang diberikan terdiri atas dua yaitu vaksin primer dan vaksin Booster. Pemberian vaksin Booster COVID-19 membuat masyarakat berpikir apakah memang dibutuhkan?. Oleh karena itu dibutuhkan suatu model peramalan untuk meramalkan kebutuhan jumlah vaksin Booster COVID-19 di Provinsi Sulawesi Selatan. Penelitian ini bertujuan untuk mengetahui bentuk pemodelan data jumlah vaksin Booster COVID-19 di Provinsi Sulawesi Selatan menggunakan model ARIMA, diawali dengan pengecekan kestasioneran data, identifikasi model dugaan, estimasi dan uji parameter, uji asumsi residual, pemilihan model terbaik, peramalan, dan uji ketepatan peramalan. Hasil penelitian ini menunjukkan bahwa model terbaik pada peramalan kebutuhan jumlah vaksin Booster COVID-19 di Provinsi Sulawesi Selatan adalah model ARIMA (1,1,0) dengan nilai ketepatan peramalan menggunakan MAPE sebesar 1.38%.
{"title":"Penerapan Model ARIMA terhadap Kebutuhan Jumlah Vaksin Booster COVID-19 di Provinsi Sulawesi Selatan","authors":"Rahmat Syam, Wahidah Sanusi, Muhammad Abdy, M. Farhan","doi":"10.31605/jomta.v5i1.2751","DOIUrl":"https://doi.org/10.31605/jomta.v5i1.2751","url":null,"abstract":"Penyebaran COVID-19 di Indonesia pada tahun 2019 sangat tinggi, salah satu wilayah dengan angka terinfeksi tertinggi ialah di Provinsi Sulawesi Selatan. Sikap yang diambil pemerintah dalam menanganinya yaitu dengan memberikan vaksin ke seluruh wilayah Indonesia. Vaksin yang diberikan terdiri atas dua yaitu vaksin primer dan vaksin Booster. Pemberian vaksin Booster COVID-19 membuat masyarakat berpikir apakah memang dibutuhkan?. Oleh karena itu dibutuhkan suatu model peramalan untuk meramalkan kebutuhan jumlah vaksin Booster COVID-19 di Provinsi Sulawesi Selatan. Penelitian ini bertujuan untuk mengetahui bentuk pemodelan data jumlah vaksin Booster COVID-19 di Provinsi Sulawesi Selatan menggunakan model ARIMA, diawali dengan pengecekan kestasioneran data, identifikasi model dugaan, estimasi dan uji parameter, uji asumsi residual, pemilihan model terbaik, peramalan, dan uji ketepatan peramalan. Hasil penelitian ini menunjukkan bahwa model terbaik pada peramalan kebutuhan jumlah vaksin Booster COVID-19 di Provinsi Sulawesi Selatan adalah model ARIMA (1,1,0) dengan nilai ketepatan peramalan menggunakan MAPE sebesar 1.38%.","PeriodicalId":313373,"journal":{"name":"Journal of Mathematics: Theory and Applications","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124860094","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-10DOI: 10.31605/jomta.v5i1.2309
Hirman Rachman, H. Mawengkang
The sea holds many resources that are very important for life, and one of them is the potential of fisheries, which is a basic human need. Indonesia, as a maritime country whose waters cover 2/3 of its territory, most of its people who live in coastal areas have utilized this condition by conducting fisheries management activities. However, the process still needs technical support to optimize the results. This research will review the production planning process of processed marine products under demand uncertainty. This research will construct a model to minimize production costs by considering demand uncertainty. The model will be computed using Mixed Integer Linear Program (MILP) method to provide the decision of processed products produced and the amount of production.
{"title":"Perencanaan Produksi Makanan Laut dengan Pertimbangan Permintaan dan Kapasitas","authors":"Hirman Rachman, H. Mawengkang","doi":"10.31605/jomta.v5i1.2309","DOIUrl":"https://doi.org/10.31605/jomta.v5i1.2309","url":null,"abstract":"The sea holds many resources that are very important for life, and one of them is the potential of fisheries, which is a basic human need. Indonesia, as a maritime country whose waters cover 2/3 of its territory, most of its people who live in coastal areas have utilized this condition by conducting fisheries management activities. However, the process still needs technical support to optimize the results. This research will review the production planning process of processed marine products under demand uncertainty. This research will construct a model to minimize production costs by considering demand uncertainty. The model will be computed using Mixed Integer Linear Program (MILP) method to provide the decision of processed products produced and the amount of production.","PeriodicalId":313373,"journal":{"name":"Journal of Mathematics: Theory and Applications","volume":"114 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116489580","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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