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PEMODELAN ANGKA PORI PADA STABILISASI TANAH GAMBUT Pradana, Mohammad Syaiful; Rohmah, Awawin Mustana
Buana Matematika : Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 8 No 2 (2018)
Publisher : Universitas PGRI Adi Buana Surabaya

Methods for improving peat soils to increase soil carrying capacity and reduce environmentally sound soil compressibility, namely stabilization of the peat layer. This method uses additives such as lime, fly ash and husks. This method has been developed based laboratory by civil engineers. However, it takes a relatively long time to find out the laboratory results. Therefore, research in the field of mathematical models for stabilization of peat soil was developed to predict the laboratory results. In this study, a mathematical model was derived one of the physical properties of peat soil, that is the pore number in stabilizing peat soil. The model is derived from fluid equations through porous media based on the principle of continuum and control volume. Furthermore, the model is completed using a finite difference method, the MacCormack scheme which consists of two steps, that are predictor and corrector. After the model is simulated using matlab, it is known that there is a decrease in the soil pore value to a constant condition. This decrease in pore number is due to chemical reactions that occur by additives which make the soil pores smaller. Keywords: pore number, maccormack, stabilization of peat soil

SELEKSI PENERIMAAN SISWA BARU DENGAN METODE FUZZY MADM TOPSIS Rohmah, Awawin Mustana
Jurnal Mahasiswa Matematika Vol 2, No 3 (2014)
Publisher : Jurnal Mahasiswa Matematika

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Optimisasi Perencanaan Produksi Pupuk Menggunakan Firefly Algorithm Dinita Rahmalia; Awawin Mustana Rohmah
Jurnal Matematika MANTIK Vol. 4 No. 1 (2018): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

In Indonesia, there are many farmers as a livelihood because of fertile soil for agriculture and the demand for food. Production planning is the important part of managing cost spent by the company. In production planning, there are many constraints which have to be satisfied such as the number of productions, the number of workers, and the number of inventory. In previous research, constrained optimizations have been solved by exact method or heuristic method. In this research, production planning optimization will be solved by Firefly Algorithm (FA). FA works as a behavior of Firefly. One of firefly behavior used is less bright firefly will move toward brighter firefly. The simulation results show that FA method can find an approaching optimal solution of production planning like production cost, worker cost, and inventory holding cost satisfying the constraints of the number of productions, workers, and inventory.

Analytic Hierarchy Process (AHP) dan Fuzzy TOPSIS pada Pemilihan Himpunan Pairing Terpilih dari Jadwal Penerbangan Dinita Rahmalia; Awawin Mustana Rohmah; Nuril Lutvi Azizah
JATI UNIK : Jurnal Ilmiah Teknik dan Manajemen Industri Vol 4, No 1 (2020): October
Publisher : Industrial Engineering, Engineering of Faculty, Universitas Kadiri

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30737/jatiunik.v4i1.922

In the flight industry, there are two highest costs such as fuel cost and crew cost. The crew cost is affected by pairings selected from flight schedule. This research will explain about selecting the set of selected pairings using Analytic Hierarchy Process (AHP) and Fuzzy Technique for Order Performance by Similarity to Ideal Solution (Fuzzy TOPSIS). Before using either Fuzzy AHP or Fuzzy TOPSIS, it will be formed collection of the set of selected pairings using greedy algorithm. After collection of the set of selected pairings is formed, then we determine goal and criteria. The goal is selecting the set of selected pairings from some alternatives. For each the set of selected pairings, there are some criterions such as the number of deadhead, the number of pairing A2, the number of pairing A3, the number of pairing A4, the number of pairing A5, and the number of pairing A6. Based on simulation results, both AHP and Fuzzy TOPSIS can select and give the rank of priority in entire the set of selected pairings. Pada industri maskapai penerbangan, terdapat dua biaya yang sangat besar yaitu biaya bahan bakar dan biaya kru. Biaya kru dipengaruhi oleh pairing yang terpilih dari jadwal penerbangan. Pada penelitian ini akan dilakukan pemilihan himpunan pairing terpilih menggunakan metode Analytic Hierarchy Process (AHP) dan Fuzzy Technique for Order Performance by Similarity to Ideal Solution (Fuzzy TOPSIS). Sebelum menggunakan AHP atau Fuzzy TOPSIS, akan dibentuk kumpulan dari himpunan pairing terpilih menggunakan greedy algorithm. Setelah kumpulan himpunan pairing terpilih terbentuk, maka dibentuk goal dan kriteria. Goal adalah memilih himpunan pairing terpilih dari beberapa alternative. Pada setiap himpunan pairing yang terpilih, terdapat beberapa kriteria seperti jumlah deadhead, jumlah pairing A2, jumlah pairing A3, jumlah pairing A4, jumlah pairing A5, dan jumlah pairing A6. Berdasarkan hasil perhitungan, metode AHP dan Fuzzy TOPSIS dapat memilih dan memberi peringkat prioritas pada pemilihan himpunan pairing terpilih.

PENGENDALIAN OPTIMAL MODEL PENYAKIT Awawin Mustana Rohmah; Rifky Ardhana Kisno Saputra
Jurnal Ilmiah Teknosains Vol 5, No 2 (2019): JiTek
Publisher : Universitas PGRI Semarang

Pada artikel ini dibahas model matematika tipe SEIR untuk menggambarkan penyebaran penyakit infeksi dengan adanya penyembuhan dan tanpa adanya kekebalan terhadap infeksi tersebut. Pada model penyebaran penyakit, populasi dibedakan menjadi empat subpopulasi yaitu subpopulasi susceptible (subpopulasi individu yang rentan terhadap penyakit), subpopulasi exposed (subpopulasi individu yang terinfeksi namun belum menunjukkan tanda-tanda mengidap penyakit), subpopulasi infected (subpopulasi individu yang terinfeksi serta dapat menularkan penyakit) dan subpopulasi recovered (subpopulasi individu yang sembuh dari penyakit). Dalam model epidemik masa inkubasi disebut periode laten (exposed). Adanya periode laten erat kaitannya dengan model epidemik SEIR. Penyebaran penyakit sangat luas, sehingga dilakukan kontrol untuk meminimumkan subpopulasi infected dengan cara memberikan obat pada subpopulasi tersebut, serta meminimumkan biaya dari obat tersebut terhadap subpopulasi infected. Sedemikian hingga subpopulasi terinfeksi berkurang dan subpopulasi recovered akan bertambah dengan biaya pengobatan yang minimum. Untuk membentuk model kontrol adalah memebentuk Persamaan Pontriagin, kemudian menurunkan Pontriagin Hamiltonian terhadap kontrol, selanjutnya hasil turunan kontrol tersebut disubstitusikan kedalam Hamiltonian, sehingga diperoleh Hamiltonian Optimal. Dalam menentukan State dengan cara menurunkan Hamiltonian Optimal terhadap SEIR dan untuk menentukan Co-State dengan cara menurunkan Hamiltonian Optimal terhadap masing - masing nilai batas akhir yang bebas. Simulasi yang digunakan dengan Software Matlab berbantuan toolbox BVP4C. Berdasarkan hasil simulasi tersebut, diperoleh bahawa subpopulasi terinfeksi mengalami penurunan mendekati nol, namun untuk subpopulasi yang sembuh mengalami kenaikan yang tinggi. Sedemikian hingga kontrol yang diberikan untuk pengendalian model penyebaran penyakit sangat efektif.

PEMODELAN ANGKA PORI PADA STABILISASI TANAH GAMBUT Mohammad Syaiful Pradana; Awawin Mustana Rohmah
Buana Matematika : Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 8 No 2 (2018)
Publisher : Universitas PGRI Adi Buana Surabaya

Methods for improving peat soils to increase soil carrying capacity and reduce environmentally sound soil compressibility, namely stabilization of the peat layer. This method uses additives such as lime, fly ash and husks. This method has been developed based laboratory by civil engineers. However, it takes a relatively long time to find out the laboratory results. Therefore, research in the field of mathematical models for stabilization of peat soil was developed to predict the laboratory results. In this study, a mathematical model was derived one of the physical properties of peat soil, that is the pore number in stabilizing peat soil. The model is derived from fluid equations through porous media based on the principle of continuum and control volume. Furthermore, the model is completed using a finite difference method, the MacCormack scheme which consists of two steps, that are predictor and corrector. After the model is simulated using matlab, it is known that there is a decrease in the soil pore value to a constant condition. This decrease in pore number is due to chemical reactions that occur by additives which make the soil pores smaller. Keywords: pore number, maccormack, stabilization of peat soil

SOLUSI POSITIF MODEL SIR Awawin Mustana Rohmah
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

Model that describes the epidemic spread of disease can spread in this area, one of which can be formed in the mathematical model of endemic SIR (susceptible, infected, and recovery). Based on the model, we can analysis existence and uniqueness, it shows that the system has solution and unique. Furthermore SIR indicated that the model has a positive solution. The final results obtained from this study is SIR model of having a uniqueand solution, as well as solutions that model is positive.

Analisis Jumlah Pengunjung dan Jumlah Wisata Terhadap PAD Kabupaten Lamongan Haykal Abidin; Awawin Mustana Rohmah
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.v6i01.2385

Lamongan Regency is one of the regencies in East Java which is quite potential to support economic needs. One of the potentials in Lamongan is the entertainment and recreation sector, in this case tourism. Tourism is one of the sectors that has experienced an increase in investment so that it is able to increase economic activity and have an impact on Regional Original Income (PAD). To determine the effect of the amount of tourism on PAD in Lamongan Regency, multiple linear regression analysis and determination coefficient analysis were carried out. The results of this study indicate that the number of tourists greatly influences the PAD in Lamongan Regency and has increased.

Penerapan Double Exponential Smoothing Holt dan ARIMA pada Jumlah Kebutuhan Gabah UD Lancar Ericha Dwi Ayu Prihastini; Novita Eka Chandra; Awawin Mustana Rohmah
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.v7i2.2761

Abstract. Since come the rice thresher (combi) machine effective than the manual process, the rice milling industries such us UD Lancar, only receiving the grain which produced from it so the supplay of rice is decreasing so resulting in the risk of loss for themselves. The forecasting activity in here used for to assist UD Lancar in estimating the demand for rice in the next period, so can anticipate looking for other grain supplier for to fulfill the demand of market. The data will be analyzed using the Double Exponential Smoothing Holt and ARIMA method. The result of the data processing is show the Double exponential smoothing holt method has MSE error value of 413.445.841,75,while in the ARIMA (2,1,1) method has MSE value was 64.826.353,94404. The Arima (2,1,1) method is better than the double exponential smoothing Holt method because it has a smaller MSE value, so it can be used in the forecasting. Keywords: Forecasting, Double Exponential Smoothing Holt, ARIMA. Abstrak. Sejak adanya mesin perontok padi (combi) yang memiliki tingkat efektifitas lebih baik dibandingkan proses manual, para pemilik industri penggilingan padi seperti UD Lancar kini hanya menerima gabah hasil proses mesin combi yang mengakibatkan persediaan beras mengalami penurunan sehingga dapat mengakibatkan permintaan konsumen tidak terpenuhi dan berujung pada resiko kerugian. Kegiatan peramalan ini bertujuan untuk memperkirakan permintaan beras UD Lancar pada periode selanjutnya, sehingga UD Lancar dapat mengantisipasi dengan cara mencari pemasok gabah lain untuk memenuhi permintaan pasar. Analisis data menggunakan metode Double Exponential Smoothing Holt dan ARIMA. Berdasarkan hasil analisis, pada metode Double Exponential Smoothing Holt memiliki nilai kesalahan MSE sebesar 413.445.841,75, sedangkan metode ARIMA (2,1,1) memiliki nilai kesalahan MSE sebesar 64.826.353,94404. Metode ARIMA (2,1,1) memiliki nilai kesalahan MSE lebih kecil dibandingkan metode Double Exponential Smoothing Holt, sehingga dapat digunakan dalam proses peramalan. Kata Kunci: Peramalan, Double Exponential Smoothing Holt, ARIMA.

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

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.

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