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Journal : Unisda Journal of Mathematics and Computer Science (UJMC)

JEMBATAN PADA GRAF FUZZY INTUITIONISTIC Siti Alfiatur Rohmaniah; Bayu Surarso; Bambang Irawanto
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 1 No 01 (2015): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1462.553 KB) | DOI: 10.52166/ujmc.v1i01.438

Abstract

An intuitionistic fuzzy graph consist of a couples of node sets V and set of edges E which the sum of degree membership and degree non membership each of nodes and each of edges in closed interval [0,1], the degree membership each of edges is less than or equal with the minimum of degree membership each of related nodes, and degree non membership each of edges is less than or equal with the maximum degree non membership each of related nodes. An intuitionistic fuzzy graph H can be said as intuitionistic fuzzy subgraph from intuitionistic fuzzy graph G if node set V of H is subset of node set V of G and edge set E of H is subset of edge set E of G. If there is an intuitionistic fuzzy graph G with nodes set of V and if each of edge has degree membership and non membership unconstantly, then G has at least one bridge. The theorem is proven to hold if the intuitionistic fuzzy graph has cycle.
PEMODELAN REGRESI COX DAN REGRESI WEIBULL WAKTU SEMBUH DIARE PADA BALITA Siti Alfiatur Rohmaniah; Danardono Danardono
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 2 No 1 (2016): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (961.098 KB) | DOI: 10.52166/ujmc.v2i1.449

Abstract

There are some consequences that occur because of diarrhea such as low levels of hemoglobin, weight loss, and dehydration. Severe dehydration can lead to death. This study aims to model the time cured of diarrhea on infants used the Cox regression method and Weibull regression to determine the factors that signicantly influence the long diarrhea. The method used to analyze data on infants under diarrhea includes sex, duration of diarrhea from beginning to heal, age of the children, the value of nutrition in infants and toddlers hemoglobin levels. Further, it continued by modeling these factors using cox regression and regression weibull. The results obtained the nutritional value on infants signicantly eect on diarrhea in infants.
PERHITUNGAN VALUE AT RISK (VaR) DENGAN SIMULASI MONTE CARLO (STUDI KASUS SAHAM PT. XL ACIATA.Tbk) Siti Alfiatur Rohmaniah
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 3 No 1 (2017): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (106.902 KB) | DOI: 10.52166/ujmc.v3i1.459

Abstract

Value at Risk (VaR) can be simply defined as an estimate of the maximum potential loss under the normal market conditions at a specific time period and with the specific confidence level. For the calculation can be done by various methods including VaR parametric estimates. VaR is calculated by simulating the properties of the risk factors and the value of assets by raising the sequence of random asset prices at the T time, given the value of asset prices sample with time t where T> t.
Analisis Data Produksi Ikan Konsumsi Menggunakan Uji Friedman Emy Natun Na'imah; Siti alfiatur Rohmaniah
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 6 No 01 (2020): Unisda Journal of Mathematics and Computer science
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/ujmc.v6i01.2384

Abstract

Agriculture in Lamongan district is known as minipadi. This is because the majority of rice fields in Lamongan district can also be used for fisheries. It is appropriate that the development of the agriculture and fisheries sectors receive special attention and the results can be seen as one of the keys to the success of the government in realizing people's welfare. The purpose of this study was to determine the descriptive data analysis of fish production in Lamongan district with the Friedman test. From the maximum value of production, the sector that is most superior in consumption fish production is pond cultivation, and the lowest is floating net cage cultivation. The districts with the most potential in consumption fish production are Glagah, Karamgbinangun and Turi Districts.
Analisis Sistem Antrian Pasien Rawat Jalan Menggunakan Distribusi Poisson dan Distribusi Erlang Siti Alfiatur Rohmaniah; Siti Masnikafah; Mohammad Syaiful Pradana
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 7 No 2 (2021): Unisda Journal of Mathematics and Computer science
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/ujmc.v7i2.2768

Abstract

Antrian di Puskesmas merupakan proses menunggu pasien untuk mendapat pelayanan. Fenomena antrian yang panjang dan lama terjadi pada Puskesmas Turi Kabupaten Lamongan terlebih pada saat kondisi yang ramai.Tujuan penelitian ini untuk mengetahui jumlah pelayan optimum Puskesmas Turi dalam kondisi ramai pasien. Penentuan jumlah pelayan berdasarkan tingkat kedatangan yang terwakilkan dengan Distribusi Poisson, sedangkan waktu pelayanan diwakili oleh Distribusi Erlang. Pada penelitian ini terdapat tiga fase pelayanan yaitu pendaftaran, pelayanan dokter, dan pelayanan apotek. Dalam penentuan jumlah pelayan optimal melihat dari nilai ultilitas. Hasil penelitian pada kondisi ramai pasien di Puskesmas Turi terjadi pada hari Senin dengan laju kedatangan 4 pasien per menit dan laju pelayanan selama 10 menit per pasien. Rata-rata waktu menunggu dalam antrian sebesar 0,035 menit, rata-rata waktu menunggu dalam sistem selama 0,04 menit dan rata-rata banyaknya pasien dalam antrian maupun sistem tidak ada pasien per menitnya. Nilai ultilitas yang diperoleh sebesar 0,4, sehingga jumlah pelayan pada saat kondisi ramai pasien sudah sesuai sebanyak satu pelayan.
Model Kontrol Optimal SIR Pada Penyakit Campak Awawin Mustana Rohmah; Siti Alfiatur Rohmaniah; Rifky Ardhana Kisno Saputra
UJMC (Unisda Journal of Mathematics and Computer Science) Vol 8 No 1 (2022): Unisda Journal of Mathematics and Computer science
Publisher : Mathematics Department, Faculty of Mathematics and Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/ujmc.v8i1.3226

Abstract

The SIR model is one of the epidemic models to describe the spread of infectious diseases with healing and without immunity to these infections. Environmental changes can affect changes in disease patterns that can cause endemic. One of the diseases that cause endemic is Measles (Measles). Therefore, it is necessary to take preventive measures to reduce the rate of spread of the disease, the most effective measure to prevent the spread of the disease is vaccination. Measles transmission prevention events that occur in a population can be modeled in a mathematical form, one of which is the SIR model. The SIR model is divided into four subpopulations, namely the susceptible population or a subpopulation of susceptible individuals to the disease, the infected subpopulation or a subpopulation of infected individuals and can transmit the disease and the recovary subpopulation or individual subpopulation recovering from the disease. Vaccination in this case is the addition of controls to the SIR model, where before being controlled, Measles was only treated normally without vaccines, so that the disease is still common in the community. Giving the right vaccine will reduce the number of infected subpopulations, so that the recovery subpopulation will increase. In this study, the SIR model was developed with the addition of controls. The control in this model is a vaccination given to infected subpopulations, so that the recovery subpopulation has increased, because the number of infected subpopulations has decreased. Abstrak Model SIR merupakan salah satu model epidemik untuk menggambarkan penyebaran penyakit infeksi dengan adanya penyembuhan dan tanpa adanya kekebalan terhadap infeksi tersebut. Perubahan lingkungan hidup dapat mempengaruhi perubahan pola penyakit yang dapat menimbulkan endemik. Salah satu penyakit yang menyebabkan endemi yaitu penyakit Campak (Measles). Oleh karena itu perlu adanya tindakan pencegahan untuk mengurangi laju penyebaran penyakit tersebut, tindakan yang dinilai paling efektif untuk mencegah penyebaran penyakit adalah dengan cara vaksinasi. Kejadian pencegahan penularan penyakit Campak yang terjadi pada suatu populasi dapat dimodelkan ke dalam bentuk matematis, salah satunya adalah model SIR. Model SIR dibagi menjadi empat subpopulasi yaitu populasi susceptible atau subpopulasi individu rentan terhadap penyakit, subpopulasi infected atau subpopulasi individu terinfeksi serta dapat menularkan penyakit dan subpopulasi recovary atau subpopulasi individu sembuh dari penyakit. Vaksinasi dalam hal ini adalah penambahan kontrol pada model SIR, dimana sebelum dikontrol, penyakit Campak hanya diobati biasa tanpa pemberian vaksin, sehingga penyakit tersebut masih banyak dijumpai di masyarakat. Pemberian vaksin yang tepat, akan menurunkan jumlah subpopulasi terinfeksi, sehingga subpopulasi recovery akan mengalami kenaikan. Pada penelitian ini mengembangkan model SIR dengan penambahan kontrol. Kontrol pada model tersebut merupakan vaksinasi yang diberikan kepada subpopulasi infected, sehingga subpopulasi recovery mengalami kenaikan, kerena jumlah subpopulasi infected menurun.
Penugasan Multi Objective pada Industri Konveksi di Kabupaten Lamongan Mohammad Syaiful Pradana; Siti Alfiatur Rohmaniah
UJMC (Unisda Journal of Mathematics and Computer Science) Vol 10 No 2 (2024): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department, Faculty of Sciences and Technology Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/ujmc.v10i2.8835

Abstract

There are various problems that must be faced by convection industry owners in Lamongan district in order to get optimal results in their business. These problems can include production costs, production time, production quality and income from products sold. The aim of this research is to optimize problems through implementing a multi-objective assignment method. The assignment method used in this research is the Weighted-Sum method, where this method changes the multi-objective objective function into one objective function by assigning weights to each objective function on a scalar basis. Based on the results of the implementation of the weighted-sum method, a pair of workers with tasks with optimal total resources was obtained.
Masalah Penugasan Pada Teknisi Untuk Perbaikan Mesin Produksi Dalam Skenario Ketidakpastian Mohammad Syaiful Pradana; Siti Alfiatur Rohmaniah; Awawin Mustana Rohmah
UJMC (Unisda Journal of Mathematics and Computer Science) Vol 11 No 1 (2025): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department, Faculty of Sciences and Technology Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/ujmc.v11i1.10571

Abstract

The problem of technician assignment in terms of production machine repair is the main focus of this research to help smooth the production process, maintain the availability and performance of the machine where the repair process depends on the efficiency of the technician team. Unexpected machine damage, the level of complexity of machine repair, as well as different competencies and availability of technicians are part of the uncertainty conditions in machine repair. This research focuses on the uncertainty scenario (Sk1, Sk2, Sk3) of technician assignment for production machine repair with a case study involving 3 machines (M1, M2, M3) and 4 technicians (T1, T2, T3, T4). The method used adapts the Hurwicz and Bayes rules (H+B) where this method is designed for one-time decisions and pure strategies with the aim of minimizing the total machine repair time. The results of the application of the optimal solution method found are assignments (T1 - M1) 6.67 hours, (T2 - M2) 8.46 hours, and (T4 - M3) 7.86 hours and resulting in a minimum total repair time of 22.99 hours. Further research could be conducted to extend the model to consider different repair costs and technician capabilities as well as other approaches to uncertainty such as Fuzzy Logic or Stochastic Programming.
Analisis dan Simulasi Model Matematika SIRC pada Dinamika Penyakit Diabetes Mellitus dengan Komplikasi Awawin Mustana Rohmah; Alvina Wiliyanti; Mohammad Syaiful Pradana; Siti Alfiatur Rohmaniah; Rifky Ardhana Kisno Saputra
UJMC (Unisda Journal of Mathematics and Computer Science) Vol 11 No 2 (2025): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department, Faculty of Sciences and Technology Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/ujmc.v11i2.12276

Abstract

Diabetes is a global health problem with a continuously increasing prevalence, adversely affecting quality of life and increasing the risk of health complications. This study applies the SIRC mathematical model to describe the temporal dynamics of diabetes, with model parameters calibrated using recent data. System stability is analyzed using the Jacobian method to determine equilibrium points and system behavior. The results indicate a high incidence of disease and complications, while the recovery rate remains relatively low. The basic reproduction number (R₀) of 1.6483 suggests that the disease still has the potential to spread. Furthermore, the equilibrium point E₁ is found to be unstable due to the presence of positive eigenvalues. This study provides important insights into diabetes dynamics that may support effective health management strategies.