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All Journal Jurnal Matematika Sains dan Teknologi JURNAL MATHEMATIC PAEDAGOGIC Jurnal Matematika dan Sains (JMS)
Fitroh Resmi
Universitas Billfath
Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Education Mathematics Physics Other

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KENDALI OPTIMAL PERTUMBUHAN POPULASI ECENG GONDOK DENGAN IKAN GRASS CRAP DAN PEMANENAN Fitroh Resmi; Aris Alfan; Slamet Ifandi
Jurnal Matematika Sains dan Teknologi Vol. 20 No. 2 (2019)
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (737.73 KB) | DOI: 10.33830/jmst.v20i2.204.2019

Abstract

Water hyacinth is a wild aquatic plant that grows quickly. The growth of water hyacinth need to be controled to prevent the flood and not to disturb paddy irrigation channels. Grass carp as herbivorous fish is used as natural predator to reduce the population of water hyacinth. The interaction between water hyacinth and grass carp is modeled using the prey-predator system. In this model there are harvest factors and predation factors using Holling type III. The optimal control problem is applied to minimize the mass of water hyacinth and harvest efforts of water hyacinth and maximize the mass of grass carp. The solution uses the Pontryagin Principle. The result is that the harvesting of water hyacinth and the grass carp can minimize the water hyacinth biomass at the end of time. Eceng gondok merupakan tanaman liar di perairan yang tumbuh dengan cepat. Pertumbuhannya perlu dikendalikan agar tidak menyebabkan banjir dan tidak mengganggu saluran irigasi persawahan. Ikan grass carp sebagai ikan herbivora digunakan sebagai predator alami untuk mengurangi populasi eceng gondok. Hubungan antara eceng gondok dan ikan grass carp dimodelkan dengan menggunakan sistem prey-predator. Pada model ini terdapat faktor pemanenan dan faktor predasi menggunakan Holling tipe III. Masalah kendali optimal diterapkan dengan tujuan untuk meminimumkan massa eceng gondok dan usaha pemanenan eceng gondok serta memaksimumkan massa ikan grass carp. Penyelesaiannya menggunakan Prinsip Pontryagin. Hasilnya dengan adanya usaha pemanenan eceng gondok dan pengadaan ikan grass carp dapat meminimumkan biomassa eceng gondok di waktu akhir.
Kendali Optimal pada Sistem Prey Predator dengan Pemberian Makanan Alternatif pada Predator Fitroh Resmi
JURNAL MATHEMATIC PAEDAGOGIC Vol 4, No 1 (2019): September 2019
Publisher : Universitas Asahan

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (815.975 KB) | DOI: 10.36294/jmp.v4i1.762

Abstract

Dalam artikel ini dibahas sistem prey predator dengan pemberian makanan alternatif pada predator. Pemberian makanan alternatif bertujuan untuk memenuhi kebutuhan makanan predator. Namun, pemberian makanan alternatif memerlukan biaya. Untuk mengatasi masalah tersebut, diperlukan adanya pengendalian terhadap jumlah pemberian makanan alternatif. Penentuan kendali yang optimal menggunakan Prinsip Maksimum Pontryagin. Hasil simulasi menunjukkan bahwa pemberian makanan alternatif secara optimal dapat memaksimumkan populasi prey dan predator di waktu akhir serta meminimumkan biaya akibat pemberian makanan alternatif.
EVALUASI METODE PEMBELAJARAN DIMASA PANDEMI MENGGUNAKAN METODE ANALYTICAL HIERARCHY PROCESS (AHP) Ayu Rohmawati; Fitroh Resmi
Jurnal Matematika dan Sains (JMS) Vol. 1 No. 2 (2021): Jurnal Matematika dan Sains (JMS)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55273/jms.v1i2.120

Abstract

E-learning is a learning media that is being used 100% in various universities. Because it is still new, elearning needs to be evaluated to make it even better. The purpose of this study is to evaluate e-learning tofind out how much the method can be accepted by students. This study uses the AHP method because thissystem is able to analyze using a number of criteria in the selection of practical courses. The method is doneby comparing the matrix of a number of criteria from the results of student questionnaire forms. Theresults show that students still prefer face-to-face methods rather than e-learning because face-to-face materialis more easily absorbed and interactions with lecturers are more interwoven than using e-learning.Keywords : e-learning, analytical hierarchy process, face to face
PENENTUAN BREAK EVEN POINT MELALUI REGRESI DAN NEWTON RAPHSON Fitroh Resmi; Aris Alfan; Nihaya Alivia Coraima Dewi
Jurnal Matematika dan Sains (JMS) Vol. 3 No. 1 (2023): Jurnal Matematika dan Sains (JMS)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55273/jms.v3i1.210

Abstract

Determining Break Even Point (BEP) in a production is an important thing to do. BEP analysis is used as a basis for profit planning. By knowing the Break Even Point (BEP), management can determine the amount of production or sales that must be made according to the profit target to be achieved. The research method used is literature review (literature study). Data collection techniques using secondary data taken from the Kaggle site. Data analysis uses descriptive statistics with the help of the python program. In certain cases, the production costs or selling cost is not a linear function. So it is necessary to form a mathematical equation through regression. The model is evaluated using MAE, MSE and R2. Determination of BEP is done by forming the equation of production costs and selling costs which are then solved by the Newton Raphson method. The results of this study are the regression method and Newton raphson can be used as an alternative in determining the BEP for cases that are not linear.
Co-Authors Aris Alfan Ayu Rohmawati Nihaya Alivia Coraima Dewi Slamet Ifandi