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APLIKASI MODEL JUKES CANTOR DALAM MENENTUKAN PELUANG BASA NITROGEN KETURUNAN SUATU INDIVIDU Bayu Prihandono, Nahrul Hayati, Mariatul Kiftiah,
BIMASTER Vol 5, No 02 (2016): BIMASTER
Publisher : BIMASTER

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (418.752 KB)

Setiap individu memiliki DNA yang merupakan identitas biologis personal yang spesifik. Namun dalam satu keluarga setiap individu memiliki kecocokan pola urutan basa nitrogen. Oleh karena itu, dapat dilakukan analisis terhadap pola urutan basa nitrogen dari generasi ke generasi. Model Jukes Cantor adalah model yang dapat digunakan untuk menganalisis pola urutan basa nitrogen tersebut. Penelitian ini bertujuan untuk menganalisis proses terbentuknya model Jukes Cantor yang dapat digunakan untuk menentukan nilai peluang basa nitrogen pada DNA keturunan suatu individu. Adapun nilai peluang basa nitrogen yang dimaksud adalah peluang basa Adenin (PA), Guanin (PG), Sitosin (PC), dan Timin (PT). Proses pembentukan model Jukes Cantor dimulai dengan menentukan nilai peluang basa nitrogen pada DNA leluhur (po) serta menentukan peluang bersyarat dari substitusi basa nitrogen pada DNA leluhur dan keturunan pertama. Selanjutnya, peluang bersyarat yang telah ditentukan sebelumnya dapat digunakan untuk membentuk matriks transisi (M) pada model Jukes Cantor. Dari matriks M dapat diketahui nilai eigen (Î»), matriks diagonal dari nilai eigen (D), basis untuk ruang eigen, matriks V yang mendiagonalisasi M, serta invers dari matriks V. Kemudian, nilai-nilai yang telah diketahui dari matriks M dapat digunakan untuk menentukan matriks transisi M t yakni M t = VDtV-1 Berdasarkan langkah-langkah tersebut, dapat diperoleh model Jukes Cantor dalam menentukan peluang basa nitrogen keturunan suatu individu sebagai berikut pt=M tp0. Dengan menerapkan model pada suatu barisan DNA leluhur dengan PA=0,3; PG=0,225; PC=0,25; dan PT=0,225 maka nilai peluang basa nitrogen pada salah satu individu dari keturunan ke-t adalah Â dan . Kata Kunci: Model Jukes Cantor, Peluang Basa Nitrogen

The Correlation Analysis between the Number of CIF and the Number of Account at Bank Syariah Indonesia KCP Batam Raden Patah Rani Gusrita; Nahrul Hayati
JURNAL SINTAK Vol. 3 No. 1 (2024): SEPTEMBER 2024
Publisher : LPPM-ITEBA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62375/jsintak.v3i1.370

A crucial indicator in assessing the progress and performance of Islamic banks can be seen from the quantity of customers, which is reflected through the number of CIFs (Customer Information Files) and total accounts. This study aims to analyze the correlation between the number of CIFs and the number of accounts at Bank Syariah Indonesia (BSI) Batam Raden Patah Sub-Branch Office. This research uses monthly secondary data from May 2023 to July 2024, covering a period of 15 months. The analytical methods used include descriptive statistics, Kolmogorov-Smirnov normality test, Pearson correlation analysis, and trend analysis. The results show a very strong and significant positive correlation between the number of CIFs and the number of accounts. Trend analysis reveals consistent growth in both variables, with an increase of 8% in the number of CIFs and 7.12% in the number of accounts during the observation period. Keywords: CIF; accounts; Pearson correlation

Comparative Study of Griya Hasanah Product Usage and Interest Rate Impact at Bank Syariah Indonesia KCP Batam Raden Patah Ahmad Andrevi Alrasyidin; Nahrul Hayati
JURNAL SINTAK Vol. 3 No. 1 (2024): SEPTEMBER 2024
Publisher : LPPM-ITEBA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62375/jsintak.v3i1.375

The Griya Hasanah product is a home installment financing option offered by Bank Syariah Indonesia, designed to facilitate customers in purchasing a house through credit payments. This study aims to determine whether there is a difference in the number of customers using the Griya Hasanah product each month and to assess whether interest rates have an impact on the number of customers. The research method used is quantitative, with data collection techniques involving secondary data provided by Bank Syariah Indonesia KCP Batam Raden Patah. Data analysis was conducted using linear regression tests and one-way ANOVA tests. Based on the data analysis, the first conclusion drawn is that there is no significant difference in the number of customers using the Griya Hasanah product. The second conclusion is that changes in interest rates do not have a significant impact on the number of customers using the Griya Hasanah product.

UTILIZING DISCRETE HIDDEN MARKOV MODELS TO ANALYZE TETRAPLOID PLANT BREEDING Hayati, Nahrul; Sulistyono, Eko; Handayani, Vitri Aprilla
Jurnal Matematika UNAND Vol 13, No 4 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.4.244-256.2024

In plant heredity, the phenotype is the result of observation that can be directly observed, while the genotype is the underlying hidden factor that underlies the expression of the phenotype. The genotype is an important aspect that needs to be understood to explain the pattern of trait inheritance and predict trait inheritance in subsequent generations. The discrete hidden Markov model is a model generated by pair of an unobserved Markov chain and an observation process. This model can be applied to tetraploid plant crosses by modeling genotypes as hidden state and phenotypes as the obeservation process. The probability of dominant phenotype in monohybrid, dihybrid and trihybrid crosses occurring over ten generations during that period is as follows 61,305%, 37,583%, and 23,041%. Furthermore, as more traits are crossed, the probability of dominant phenotype appearing within ten generations decreases. When the dominant phenotype occurs over ten generations, the same genotype can be obtained in monohybrid, dihybrid, and trihybrid crosses, which is heterozygous in the first and second generations, while from the third to the tenth generation it is homozygous dominant.

UTILIZING DISCRETE HIDDEN MARKOV MODELS TO ANALYZE TETRAPLOID PLANT BREEDING Hayati, Nahrul; Sulistyono, Eko; Handayani, Vitri Aprilla
Jurnal Matematika UNAND Vol. 13 No. 4 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.4.244-256.2024

In plant heredity, the phenotype is the result of observation that can be directly observed, while the genotype is the underlying hidden factor that underlies the expression of the phenotype. The genotype is an important aspect that needs to be understood to explain the pattern of trait inheritance and predict trait inheritance in subsequent generations. The discrete hidden Markov model is a model generated by pair of an unobserved Markov chain and an observation process. This model can be applied to tetraploid plant crosses by modeling genotypes as hidden state and phenotypes as the obeservation process. The probability of dominant phenotype in monohybrid, dihybrid and trihybrid crosses occurring over ten generations during that period is as follows 61,305%, 37,583%, and 23,041%. Furthermore, as more traits are crossed, the probability of dominant phenotype appearing within ten generations decreases. When the dominant phenotype occurs over ten generations, the same genotype can be obtained in monohybrid, dihybrid, and trihybrid crosses, which is heterozygous in the first and second generations, while from the third to the tenth generation it is homozygous dominant.

Application of Simple Moving Average in Predicting Operational Expenditure at PT. Tri Tunas Unggul Lunardi, Louis; Hayati, Nahrul; Handayani, Lilies
JURNAL SINTAK Vol. 3 No. 2 (2025): MARET 2025
Publisher : LPPM-ITEBA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62375/jsintak.v3i2.555

This research aims to analyze and predict operational expenditure patterns at PT. Tri Tunas Unggul using the Simple Moving Average (SMA) method. The research data consists of daily operational expenditure records from July to October 2024. The analysis employs two SMA periods, 7-day and 30-day intervals, to identify both short-term and long-term expenditure trends. The results show that the 7-day SMA provides more responsive tracking of changes in daily expenditures, while the 30-day SMA reveals more stable long-term trends. The analysis identifies three significant peaks in the 7-day SMA in early August, late September, and mid-October, indicating cyclical spending patterns. This research demonstrates that the SMA method can be effectively utilized as a financial analysis tool to support decision-making in managing operational costs and investment strategies at PT. Tri Tunas Unggul.

Analysis of International Tourist Visits Based on Nationality and Tourism Travel Characteristics Using Complete Linkage Handayani, Vitri Aprilla; Sulistyono, Eko; Arrafi, Adamsyam; Hayati, Nahrul
Statistika Vol. 25 No. 1 (2025): Statistika
Publisher : Department of Statistics, Faculty of Mathematics and Natural Sciences, Universitas Islam Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29313/statistika.v25i1.5801

Abstract. This research aims to analyze the characteristics of international tourists in Indonesia using Clustering Method: Complete Linkage. The study successfully identified 5 distinct clusters based on nationality and tourism travel characteristics. The analysis showed significant differences between clusters in terms of country of origin, travel patterns, preferences, expenditure, and tourist activities. Cluster 1 was dominated by ASEAN and Middle Eastern countries with stable visitation patterns influenced by geographical proximity and cultural and business relationships. Cluster 2 was the largest group, encompassing various countries with holiday and business tourism characteristics, longer stays, and higher expenditure. Clusters 3, 4, and 5 each consisted of a single country: Timor Leste, Hong Kong, and Papua New Guinea respectively, with unique visitation patterns. Each cluster showed differences in travel purposes, length of stay, expenditure, and activities of interest. A deep understanding of each tourist group’s characteristics was crucial for developing more targeted tourism marketing strategies. The clustering results could be utilized for infrastructure planning, resource allocation, promotional strategies, and service improvements tailored to each group’s characteristics, thereby enhancing tourist experiences and Indonesia’s overall tourism competitiveness.

Fuzzy time series markov chain and discrete-time markov chain analysis of export gonggong in Batam Anggraeni, Andini Setyo; Sabarinsyah, Sabarinsyah; Hayati, Nahrul; Wati, Dia Cahya; Ananda, Serly Tri
Desimal: Jurnal Matematika Vol. 8 No. 1 (2025): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v8i1.26494

Gonggong snails are an important fisheries commodity that has high economic value. However, freight on board export Gonggong has a bigger probability to decrease (below the half-term weighted average). So, more in-depth research is needed about Gonggong exports. In this research we will model and forecast Gonggong exports in Batam City using the Fuzzy Time Series Markov Chain (FTMC) and Discrete-Time Markov Chain (DTMC) methods. In FTMC the data will be divided into six states based on the fuzzification results, while in DTMC the data will be divided into four states, namely very low, low, high, and very high. Gonggong export data in kilograms for Batam City for 2020-2024 is sorted based on H.S. Code. The results of research using FTMC and DTMC provide similar results, namely that in the next six months, in December 2024, Gonggong's export size will experience an equilibrium condition where in the following months the export size will not experience significant changes. The highest possibility that will occur in this condition is that Gonggong's exports will be low with a probability of 39.99%, and the probability that exports will be very low is 24.75%. This is confirmed by the results of analysis using the fuzzy time series Markov chain. The results of the analysis predict that Gonggong's export in the following month, namely July 2024, will be 6,169.97 kg, which is in the low export size category. Predictions for the next month can also be made by continuing the calculation using FTMC.

Peningkatan Kapasitas Pengolahan Data Penjualan dan Analisis Tren Pasar untuk Optimalisasi Strategi Bisnis di CV Sabila Craft Batam Handayani, Vitri Aprilla; Wibowo, Sadiq Ardo; Rahman, Taufiq; Anggraeni, Andini Setyo; Sulistyono, Eko; Hayati, Nahrul; Lunardi, Louis; Asikin, Nur
Jurnal SOLMA Vol. 14 No. 2 (2025)
Publisher : Universitas Muhammadiyah Prof. DR. Hamka (UHAMKA Press)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22236/solma.v14i2.18357

Pendahuluan: Program pengabdian ini bertujuan membantu CV. Sabila Craft Batam, perusahaan kerajinan yang belum memiliki sistem pencatatan dan analisis data penjualan yang terstruktur. Akibatnya, pengambilan keputusan bisnis masih bersifat intuitif. Kegiatan ini diharapkan mampu meningkatkan kemampuan perusahaan dalam mengelola data dan menganalisis tren pasar guna mendukung pengambilan keputusan yang lebih tepat. Metode: Pendekatan yang digunakan bersifat edukatif-partisipatif melalui pelatihan, pendampingan teknis, dan simulasi studi kasus. Peserta dilatih menggunakan perangkat lunak sederhana untuk pencatatan penjualan dan analisis data. Hasil: Terdapat peningkatan pemahaman dalam pencatatan dan analisis data. CV. Sabila Craft mulai membentuk sistem pencatatan yang lebih rapi serta strategi pemasaran berbasis data. Kesimpulan: Kegiatan ini berhasil meningkatkan keterampilan analisis data, sehingga CV. Sabila Craft lebih siap bersaing dan mengambil keputusan bisnis secara terukur.

Pelatihan Pengolahan Data Penjualan dan Analisis Tren Pasar Kuliner Seafood Khas Melayu di Kelong Arjam Mentarau Bertuah Hayati, Nahrul; Sulistyono, Eko; Anggraeni, Andini Setyo; Handayani, Vitri Aprilla; Sabarinsyah; Utami, Arli Magfirah; Putri, Tia Aura; Devikaduri, Laras
Jurnal SOLMA Vol. 14 No. 2 (2025)
Publisher : Universitas Muhammadiyah Prof. DR. Hamka (UHAMKA Press)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22236/solma.v14i2.18605

Background: Kelong Arjam Mentarau Bertuah, usaha kuliner seafood khas Melayu di Batam, menghadapi kendala dalam pengelolaan data penjualan dan analisis tren pasar yang masih dilakukan secara manual. Kegiatan Pengabdian kepada Masyarakat (PkM) ini bertujuan meningkatkan kapasitas mitra melalui pelatihan dan pendampingan berbasis teknologi, khususnya dalam pengolahan data penjualan dan analisis tren pasar, guna meningkatkan efisiensi dan daya saing usaha. Metode: Kegiatan ini dilaksanakan melalui metode pelatihan dan pendampingan, yang mencakup penggunaan aplikasi pengolahan data penjualan (Microsoft Excel), analisis tren pasar, serta simulasi bisnis untuk menguji berbagai skenario strategis. Hasil: Terjadi peningkatan signifikan dalam kemampuan mitra untuk mengelola data penjualan secara digital dan menganalisis tren pasar. Mitra berhasil mengidentifikasi produk favorit dan pelanggan favorit, serta meningkatkan laba bersih melalui simulasi pengurangan biaya operasional. Selain itu, mitra kini mampu merancang strategi pemasaran berbasis data, seperti promosi produk premium dan program loyalitas pelanggan. Kesimpulan: Kegiatan PkM ini berhasil mencapai target dengan meningkatkan efisiensi operasional dan strategi pemasaran mitra. Rekomendasi untuk kegiatan selanjutnya adalah pendampingan jangka panjang, pengembangan sistem loyalitas pelanggan, dan ekspansi pemasaran digital untuk memperluas jangkauan pasar. Dampak kegiatan ini diharapkan dapat menjadi model bagi pengembangan UMKM kuliner lainnya.

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