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Unisda Journal of Mathematics and Computer Science (UJMC)

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Published by Universitas Islam Darul Ulum

ISSN : 24603333 EISSN : 2579907X DOI : -

Core Subject : Science, Education,

Computer Science & IT Education Mathematics

Unisda Journal of Mathematics and Computational Science (UJMC) is a research journal published by Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan with the scope of pure mathematics, applied science, education, statistics

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Articles 129 Documents

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Model Rantai Pasok Pada Sistem Produksi Menggunakan Petri Net dan Aljabar Max Plus ahmad afif; Dian Mustofani
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 5 No 01 (2019): Unisda Journal of Mathematics and Computer Science (UJMC)
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Abstract. Supply chain production system is a process of coordination and integration of activities ranging from the procurement of goods and services, transforming raw materials into semi-finished goods and finished goods, to distribute to the consumers in an efficient manner. Supply chain analysis is used to regulate the supply of the production system so as not to overload so that it can reduce the costs of the entire production system which includes the costs of processing, transportation and distribution of raw materials, semi-finished goods and finished goods. Petrinet can describe the supply chain model as a dynamic production systems with discrete events with max plus algebra approach to help calculate the length of time in the distribution and production in the supply chain. Keywords: supply chain, production system, petri net, max plus algebra Abstrak. Rantai pasok pada sistem produksi merupakan proses koordinasi dan integrasi kegiatan mulai dari pengadaan barang dan jasa, mengubah bahan baku menjadi barang setengah jadi dan barang jadi, hingga mendistribusikan kepada konsumen dengan cara efisien. Analisis rantai pasok dipakai untuk mengatur pasokan dari sistem produksi supaya tidak terjadi overload sehingga dapat mengurangi biaya dari keseluruhan sistem produksi yang meliputi biaya pengolahan, transportasi dan distribusi bahan baku, barang setengah jadi dan barang jadi. Petrinet dapat menggambarkan model rantai pasok sebagai sistem produksi yang dinamis dengan kejadian diskrit dengan pendekatan aljabar max plus untuk membantu menghitung lamanya waktu dalam pendistribusian dan produksi dalam rantai pasok. Kata kunci : rantai pasok, sistem produksi, petri net, aljabar max plus

Estimasi Parameter Distribusi Weibull Dan Aplikasinya pada Pengendalian Mutu Dengan Memanfaatkan Kuantil Cecilia Novianti Salsinha
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 5 No 01 (2019): Unisda Journal of Mathematics and Computer Science (UJMC)
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Abstract. Weibull distribution is one of the continuous probability distributions. As the other distributions, Weibull distribution is also characterized by Mean, Variance and Moment Generation Function. The advantage of this distribution compared to other distributions is its flexibility, that is, this distribution can change to another distribution such as an exponential distribution depending on the value of the selected distribution parameters, namely scale parameters and form parameters. From the distribution graph, it can be shown that, the flexibility will appear very clear. One application of the Weibull distribution is in statistical process control. Because not all data is normally distributed, the Shewhart control chart cannot be used. One way to solve this problem is that the data is analyzed with Weibull control charts by utilizing quantiles, namely 0.00135, 0.5 and 0.99865. Quantile 0.00135 is the bottom quintile used to form the Lower Control Limit, the Middle Line is the median of the data, which is 0.5 which replaces the average and the last to form the Upper Control Limit the top quintile is 0.99865. By generating 200 data with Weibull distribution, if the data is analyzed by Shewhart control charts then there is a lot of data that is outside the control limit so it will be concluded that the graph is out of control. Therefore, if the data is not from a Normal distribution, the use of Shewhart control charts is not recommended. Keywords: Weibull Distribution, Maximum Likelihood Estimation (MLE), Quality Control, Weibull Control Charts Abstrak. Distribusi Weibull merupakan salah satu distribusi probabilitas kontinu. Sama halnya dengan distribusi lainnya, distribusi Weibull pun dicirikan dengan Mean, Variansi dan Fungsi Pembangkit Momen. Kelebihan distribusi ini dibandingkan dengan distribusi lainnya adalah fleksibilitasnya, yaitu distribusi ini dapat berubah menjadi distribusi lain seperti distribusi eksponensial tergantung pada nilai parameter distribusi yang dipilih yaitu parameter skala dan parameter bentuk. Jika dilihat dari grafik distribusinya maka akan tampak sangat jelas fleksibilitas tersebut. Salah satu aplikasi dari distribusi Weibull yaitu dalam pengendalian proses statistik. Oleh karena tidak semua data berdistribusi normal maka grafik pengendali Shewhart tidak dapat digunakan. Salah satu cara menyelesaikan masalah tersebut adalah data dianalisis dengan grafik pengendali Weibull dengan memanfaatkan kuantil-kuantil yaitu 0,00135, 0,5 dan 0,99865. Kuantil 0,00135 adalah kuantil bawah yang digunakan untuk membentuk Batas Pengendali Bawah, Garis Tengah adalah median dari data yaitu 0,5 yang menggantikan rata-rata dan untuk membentuk Batas Pengendali Atas digunakan kuantil atas yaitu 0,99865. Dengan membangkitkan data sebanyak 200 data berdistribusi Weibull, jika data tersebut dianalisis dengan grafik pengendali Shewhart maka terdapat banyak data yang berada diluar batas pengendali sehingga akan disimpulkan bahwa grafik tak terkendali. Oleh karena itu, jika data bukan berasal dari distribusi Normal, penggunaan grafik pengendali Shewhart tidak disarankan. Kata Kunci: Distribusi Weibull, Estimasi Maximum Likelihood, Pengendalian Mutu, Grafik Pengendali Weibull

Peramalan Kebutuhan Air Untuk Penyiapan Lahan Menggunakan Metode Siklis (Studi Kasus Daerah Irigasi Bendungan Batu Bulan Kec.Moyo Hulu) Koko Hermanto; Silvia Firda Utami
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 5 No 01 (2019): Unisda Journal of Mathematics and Computer Science (UJMC)
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Abstract. The area of agriculture in the Moyo Hulu sub-district of Sumbawa Regency is 6000 hectares with irrigation water sources from Batu Bulan Dam, which is the largest dam in Sumbawa Regency with an area of 932 hectares. Considering that Sumbawa Regency is one of the regions with a high level of drought, information on irrigation water requirements for land preparation needs to be known because it can optimize the allocation of the use of dam water discharge. And one of the important stages needed in the planning and management of irrigation systems. Based on this, the aim of this study is to forecast water requirements for land preparation in the irrigation area of Batu Bulan Dam by using cyclical methods because the data patterns are cyclical or seasonal. The factors that influence water requirements for preparing agricultural land are topography, hydrology, climatology and soil texture. From these factors, the data is then analysed so that the volume of water preparation needs to be obtained every month so that the results of the analysis can be predicted for the next period. Keyword: Forecasting, Cyclic methods, water requirements for land preparation, irrigation, agriculture. Abstrak. Luas area pertanian di kecamatan Moyo Hulu Kabupaten Sumbawa sebesar 6000 hektar dengan sumber air irigasi dari Bendungan Batu Bulan yang merupakan bendungan terbesar di Kabupaten Sumbawa dengan luas 932 hektar. Mengingat Kabupaten Sumbawa salah satu wilayah dengan tingkat kekeringan yang cukup tinggi maka Informasi kebutuhan air irigasi untuk penyiapan lahan perlu diketahui karena dapat mengoptimalkan pengalokasian pengunaan debit air bendungan. Serta salah satu tahap penting yang diperlukan dalam perencanaan dan pengelolaan sistem irigasi. Berdasarkan hal tersebut tujuan dari penelitian ini adalah meramalkan kebutuhan air untuk penyiapan lahan di daerah irigasi Bendungan Batu Bulan dengan menngunakan metode siklis karena pola datanya bersifat siklis atau musiman. Adapun faktor-faktor yang mempengaruhi kebutuhan air untuk penyiapan lahan pertanian adalah topografi, hidrologi, klimatologi dan tekstur tanah. Dari data-data faktor tersebut selanjutnya dianalisa sehingga diperoleh volume kebutuhan air penyiapan lahan setiap bulannya sehingga dari hasil analisa tersebut dapat diramalkan untuk periode berikutnya. Keyword: Peramalan, metode Siklis,Kebutuhan air penyiapan lahan, irigasi, pertanian.

Analisis Intervesi Fungsi Step Efek Program Tol-Laut Terhadap Pergerakan Harga Saham TMAS.JK Wigid Hariadi
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 5 No 01 (2019): Unisda Journal of Mathematics and Computer Science (UJMC)
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Abstract. Intervention analysis is used to evaluate the effect of external events on a time series data. Sea-highway program is one of the leading programs Joko Widodo-Jusuf Kalla in presidential election 2014. So the author want to modeling the effect from Sea-highway programs on stock price movement in the shipping sector, TMAS.JK (Pelayaran Tempuran Emas tbk). After analyzing, proven that it has happened intervention on movement of daily stock price TMAS.JK caused by Sea-highway programs. Intervention I, on 11 August 2014, which was efect as a result of the election of the Joko Widodo-Jusuf kalla pair as President and vice President Republic of Indonesia on 22 july 2014. Intervention II, on 10 november 2014, president Joko Widodo speech in APEC about Sea-highway Program, and offering investment in port construction to foreign country. So that the model of time series analysis that right is intervention analysis model multi input step function, where the model is ARIMA (2,1,0), StepI (b=0, s=2, r=1), StepII (b=3, s=0, r=1). Keywords: Intervention Analysis, Multi Input, Step Function, Sea-highway. Abstrak. Analisis intervensi digunakan untuk mengevaluasi efek dari peristiwa eksternal pada suatu data time series. Program Tol-Laut merupakan salah satu program unggulan pasangan Joko Widodo-Jusuf Kalla dalam pemilu 2014. sehingga, penulis ingin memodelkan efek dari Program Tol-Laut terhadap pergerakan harga saham dibidang pelayaran, TMAS.JK (Pelayaran Tempuran Emas tbk). Setelah dilakukan analisis data, terbukti bahwa terjadi intervensi pada pergerakan harga saham harian TMAS.JK yang disebabkan oleh efek dari program Tol-Laut. Dimana intervensi I, pada tanggal 11 Agustus 2014, yang diduga sebagai dampak dari terpilihnya pasangan Joko widodo-Jusuf Kalla sebagai presiden dan wakil presiden Republik Indonesia pada tanggal 22 Juli 2014. Intervensi II, pada tanggal 10 November 2014, pidato Presiden Joko Widodo di forum APEC mengenai program tol laut, dan menawarkan investasi dibidang pembangunan pelabuhan kepada bangsa asing. Sehingga model analisis time series yang tepat adalah model analisis intervensi multi input fungsi step, dimana modelnya adalah ARIMA (2,1,0), StepI (b=0, s=2, r=1), StepII (b=3, s=0, r=1). Kata kunci: Analisis intervensi, Multi Input, fungsi step, Tol-Laut.

Analisa Penumpang dengan Metode SARIMA (Studi Kasus: Bandar Udara Raja Haji Fisabilillah) Yayuk Setyaning Astutik
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 5 No 01 (2019): Unisda Journal of Mathematics and Computer Science (UJMC)
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Abstract, Raja Haji Fisabilillah International Airport is an airport in Tanjungpinang and it is quite high in service levels for the flow of passengers and goods. Based on the data from Airport Quality Angkasa Pura II, the passengers growth has both decreased and increased in the last 3 (three) years. In 2015, there were 258,936 people in total and has decreased to 246,828 people in 2016 and increased again in 2017 by 351,688 people. Therefore, it is necessary to evaluate the terminal of the airport. The methods are used observation and forecasting is SARIMA. The evaluation and analysis results show that terminal of this airport still meet the applicable standards and passenger movements for the next year 2020 indicate that all equipment facilities for the needs of terminal passengers of Raja Haji Fisabilillah International Airport are still adequate. Keywords: SARIMA, Forecasting, Passenger, Airport. Abstrak, Bandar Udara Internasional Raja Haji Fisabilillah merupakan bandar udara yang ada di Kota Tanjungpinang dan merupakan bandara yang cukup tinggi dalam tingkat pelayanan terhadap arus penumpang maupun barang. Berdasarkan data dari Airport Quality Angkasa Pura II bahwa pertumbuhan penumpang mengalami penurunan dan peningkatan dalam 3 (tiga) tahun terakhir, tercatat data tahun 2015 sebanyak 258.936 orang, tahun 2016 menurun menjadi 246.828 orang dan meningkat kembali di tahun 2017 sebanyak 351.688 orang. Maka diperlukan evaluasi terhadap terminal penumpang dari bandara ini. Metode yang digunakan adalah observasi dan peramalan dengan SARIMA. Hasil evaluasi dan analisis menunjukkan bahwa terminal penumpang Bandar Udara Internasional Raja Haji Fisabilillah masih memenuhi standar dan syarat yang berlaku dan pergerakan penumpang untuk tahun mendatang 2020 menunjukkan seluruh fasilitas peralatan pelayanan kebutuhan terminal penumpang Bandar Udara Internasional Raja Haji Fisabilillah masih memadai. Kata kunci: SARIMA, Peramalan, Penumpang, Bandara.

Analisis Keterkontrolan Model Penyebaran Virus Polio Tipe Vaccine-Derived Polio Virus (VDPV) dan Wild Polio Virus (WPV) Sari Cahyaningtias; Rani Kurnia Putri
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 5 No 01 (2019): Unisda Journal of Mathematics and Computer Science (UJMC)
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Abstract, Administering vaccines is important as an effort to eradicate polio which is spread by polio virus through physical contact from person to person and exacerbated by an unhealthy sanitation environment. Giving this vaccine does not mean without side effects, administering an oral vaccine (OPV) without proper calculation causes the person given the vaccine to be contract the virus, the truth is, vaccine contains a weakened virus. Therefore, control in administering vaccines is important to do.The polio virus is transmitted to people with weak immune systems and poor sanitation environment, called WPV (Wild Polio Virus). Another impact that is feared from giving OPV is the occurrence of Vaccine Derrived Polio Virus (VDPV), a condition in which the polio virus mutates to become malignant and gives rise to a new type of polio virus. In this study, the mathematical model of the polio virus distribution was formed into a system of non-linear dynamic equations which then carried out a control analysis of the dynamic system of distribution polio by establishing the vaccination rate as the control of the system. The results of the control analysis show that the system can be controlled with the control variables given, namely (1) the level of vaccination of vulnerable children; (2) vaccination rates of vulnerable children without vaccines. Keywords: equilibrium point, control, vaccination level, polio type VDPV and WPV Abstrak, Pemberian vaksin penting dilakukan sebagai upaya pemberantasan penyakit polio yang disebarkan oleh virus polio melalui kontak fisik dari orang ke orang dan diperparah dengan lingkungan sanitasi yang tidak sehat. Pemberian vaksin ini bukan berarti tanpa efek samping, pemberian dosis vaksin oral (OPV) tanpa perhitungan yang tepat menyebabkan orang yang diberi vaksin dapat terjangkit virus tersebut, karena sejatinya, vaksin berisikan virus yang telah dilemahkan. Oleh sebab itu, kontrol dalam pemberian vaksin, penting untuk dilakukan. Virus polio yang menular ke orang dengan daya tahan tubuh lemah dan lingkungan sanitasi yang buruk, disebut dengan WPV (Wild Polio Virus). Dampak lain yang dikhawatirkan dari pemberian OPV adalah terjadinya Vaccine Derrived Polio Virus (VDPV) yaitu suatu keadaan dimana virus polio bermutasi menjadi ganas dan menimbulkan virus polio tipe baru. Pada penelitian ini, model matematika dari persebaran virus polio ini dibentuk kedalam system persamaan dinamik tak linier yang kemudian dilakukan analisis keterkontrolan dari sistem dinamik persebaran polio tersebut dengan menetapkan tingkat vaksinasi sebagai control dari sistem. Hasil analisis keterkontrolan menunjukkan bahwa system dapat dikontrol dengan variabel kendali yang diberikan, yaitu (1) tingkat vaksinasi anak-anak rentan; (2) tingkat vaksinasi anak-anak rentan tanpa vaksin. Keywords: titik kesetimbangan, keterkontrolan, tingkat vaksinasi, polio tipe VDPV dan WPV

SISTEM ANTRIAN MODELGEO/G/1 DENGAN VACATION Novita Eka Chandra; Supriyanto Supriyanto; Renny Renny
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

Queue processes are stochastic processes which involve the arrival process and the service process. In a queue, there is a condition of servers that become unavailable for a period of time called vacation. The purpose of this research is to analyze the derivation Geo/G/1 queue systems model with vacation and its application. Furthermore, based on simulation on vacation model, with different values of traffic intensity and vacation parameter, we concluded that the bigger traffic intensity and vacation parameter values, then the mean of total number of costumers in a system and the mean of waiting time in the queue that is caused by vacation will be decreased.

TEOREMA WEYL UNTUK OPERATOR HYPONORMAL Gunawan Gunawan
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

This paper aims at describing the natures of Hyponormal operator to secure the existence of Weyl’s theorem. The discussion on Weyl’s theorem requires definitions of compact, Fredhlom, and Weyl’s operator. In addition, samples and natures of compact and Fredhlom operator in Hilbert space will also be observed.

METODE TRIPLE EXPONENTIAL SMOOTHING HOLT-WINTERS UNTUK PERAMALAN JUMLAH WISATAWAN NUSANTARA DI KABUPATEN BANYUWANGI Feby Indriana Yusuf; Dwi Hilda Anjasari
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 4 No 2 (2018): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Forecasting is how to predict future event by considering the past data. This research aims to determine the results of the comparison of forecasting the number of domestic tourists in Banyuwangi by triple exponential smoothing method of Holt-Winters multiplicative and additive models in order to obtain the best model. The data used in this research is the number of domestic tourists in Banyuwangi period January 2010 to March 2018. The results showed that forecasting by the triple exponential smoothing method of multiplicative models with a smoothing constant α = 0.18; γ = 0.03 and β = 0.1 obtained the smallest value of MAPE and MSE.

Analisa Struktur Balok dengan Metode Momen (Studi Kasus: Proyek Pembangunan Grand Mall Batam) Yayuk Setyaning Astutik
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 4 No 2 (2018): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

The Grand Mall Batam Development Project with number of stories 30 and 1 basement. Footing Plan of this project using bore pile. Observations are made at the project construction site for data collection for 3 months in 2018. The beams used are dimensins of B350 x 750 dimensions with a top reinforcement of 6D20 mm, 2D12 mm for center reinforcement, 3D20 mm for bottom reinforcement and D10-200 mm for diameter distance. The calculation of the beam starts with the planning data on the beam structure analysis, namely Concrete Quality 29 Mpa (K-350), Screw 500 Mpa and Plain Iron 260 Mpa. The loading on the beam is carried out in the field that work, the child beam and the main beam with details of dead load, live load, factored load. On the main reinforcement of the beam, the moment is calculated, namely the moment of the field, the moment of support and the moment of the plan. Based on the calculation of loading on the beam, the deflection value is 0.01709 m. Calculation of stirrup reinforcement on the beam where the required distance is 254.0073 mm and a distance of 200 mm is taken with an iron diameter of 10 mm. So the calculation of the main reinforcement of beam and stirrup reinforcement is in the Safe category.

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