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All Journal Jurnal Matematika Majalah Ilmiah Fisioterapi Indonesia E-Jurnal Matematika
Ni Made Asih
Prodi Matematika FMIPA Universitas Udayana
Decision Sciences, Operations Research & Management Health Professions Mathematics Neuroscience Public Health

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APLIKASI METODE KHUN-TUCKER DALAM PENJUALAN OLI MOBIL (Studi Kasus : PT. Anugrah Mitra Dewata) Ni Made Asih; I Nyoman Widana
Jurnal Matematika Vol 2 No 1 (2012)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2012.v02.i01.p18

Abstract

Aplikasikan Metode Khun-Tucker dalam kasus penjualan oli mobil padaPT. Anugrah Mitra Dewata merupakan salah satu kasus optimasi bersyarat, untukmengetahui oli apa yang harus diproduksi oleh perusahaan, agar mencapai keuntunganmaksimal dan nilai-nilai ekstrim yang akan diperoleh, yang nantinya berperandalam menentukan tingkat keuntungan yang diperoleh perusahaan. Metode Khun-Tucker ini dapat dipergunakan untuk mencari solusi optimal dari suatu fungsi tanpamemandang sifat apakah linier atau nonlinier. Dalam proses pengerjaannya MetodeKhun-Tucker secara esensial melibatkan langkah-langkah yang sama seperti halnyaMerode Lagrange, yaitu: Membentuk Lagrangian untuk dapat menghitungtitik-titik kritisnya, mencari semua solusi (x; ), dan menghitung nilai f(x). Dalamproses pencarian semua solusi x dan nya dibantu dengan menggunakan programMATLAB. Hasil penelitian menunjukkan pada caturwulan I dengan memproduksioli SMO HP sebanyak 587 liter diperoleh keuntungan maksimal perusahaansebesar Rp 19.837.000 . Untuk caturwulan II dengan memproduksi oli SMO HPPLUS sebanyak 776 liter diperoleh keuntungan maksimal perusahaan sebesar Rp20.112.000. Untuk caturwulan III dengan memproduksi oli SMO HP sebanyak 470liter diperoleh keuntungan maksimal perusahaan sebesar Rp 20.029.000.
Optimalisasi Harga Penjualan Perumahan dengan Metode Goal Programming (Studi Kasus: Golden Gindi Residence Kota Bima Nusa Tenggara Barat) Lilik Ika Rahmawati; G. K. Gandhiadi; Ni Made Asih
Jurnal Matematika Vol 3 No 2 (2013)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2013.v03.i02.p38

Abstract

This research aims to determine the minimum selling price of each type of house using the method of goal programming, so that the developer  get profit  in appropriate with the targets set. Goal Programming method is one of the method of solving linear programming to solve the problems that include multiple targets. The result of the research showed: (1) the minimum salling price type of house 36/150 is Rp. 56.371.450,-; (2) type 45/150 is Rp. 77.261.250,-; (3) type 52/150 is Rp. 84.221.445,56. To calculate monthly installment purchase of a home within 5 years and 10 years using Capital Recovery Factor (CRF) method with annual interest of 11.5%. In order to obtain the amount of monthly loan installments within 5 years with 60 time installments for the type 36/150 is Rp. 930.250 , type 45/150 is Rp. 1.275.000 and type 52/150 is Rp. 1.389.800. By using the same method obtained the amount of monthly installments within 10 years with 120 installments for the type 36/150 is Rp. 549.900, type 45/150 is Rp. 815.300 and type 52/150 is Rp. 888.800 . Optimal selling price obtained was lower than the selling price from the developer, so the developer need to consider again the results obtained for the salling price of homes. The calculation of credit installments depending on the amount of interest and repayment period, so not become burden for the customers.
Optimalisasi Harga Penjualan Perumahan dengan Metode Goal Programming (Studi Kasus: Golden Gindi Residence Kota Bima Nusa Tenggara Barat) Lilik Ika Rahmawati; G. K. Gandhiadi; Ni Made Asih
Jurnal Matematika Vol 3 No 2 (2013)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

This research aims to determine the minimum selling price of each type of house using the method of goal programming, so that the developer  get profit  in appropriate with the targets set. Goal Programming method is one of the method of solving linear programming to solve the problems that include multiple targets. The result of the research showed: (1) the minimum salling price type of house 36/150 is Rp. 56.371.450,-; (2) type 45/150 is Rp. 77.261.250,-; (3) type 52/150 is Rp. 84.221.445,56. To calculate monthly installment purchase of a home within 5 years and 10 years using Capital Recovery Factor (CRF) method with annual interest of 11.5%. In order to obtain the amount of monthly loan installments within 5 years with 60 time installments for the type 36/150 is Rp. 930.250 , type 45/150 is Rp. 1.275.000 and type 52/150 is Rp. 1.389.800. By using the same method obtained the amount of monthly installments within 10 years with 120 installments for the type 36/150 is Rp. 549.900, type 45/150 is Rp. 815.300 and type 52/150 is Rp. 888.800 . Optimal selling price obtained was lower than the selling price from the developer, so the developer need to consider again the results obtained for the salling price of homes. The calculation of credit installments depending on the amount of interest and repayment period, so not become burden for the customers.
Evaluasi Premi Joint Life Pasangan Suami Istri Menggunakan Copula Frank I Nyoman Widana; Ni Made Asih
Jurnal Matematika Vol 8 No 1 (2018)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2018.v08.i01.p97

Abstract

This paper introduces the joint life satatus for married couples with independent and dependent mortality models. Using Frank copula and Indonesia Life Tables 2011, we evaluate the impact of dependent future lifetimes on the net single and level premium. The results show premium rates are reduced if models of dependent future lifetime are used compared to the models using an assumption of independence.
Analisis Korelasi Kanonik Hubungan Perilaku Pemimpin dan Motivasi Kerja Karyawan I Gusti Ayu Made Srinadi; Ni Made Asih; Ayuk Dwi Cahyani
Jurnal Matematika Vol 4 No 1 (2014)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2014.v04.i01.p44

Abstract

Kualitas pemimpin merupakan penentu keberhasilan organisasi yang dipimpin. Hubungan antara pemimpin dengan karyawannya merupakan hubungan saling ketergantungan yang umumnya tidak seimbang. Dalam proses interaksi yang terjadi antara pemimpin dan karyawan, berlangsung proses saling memengaruhi. Penelitian ini bertujuan untuk mencari hubungan perilaku pemimpin terhadap motivasi kerja karyawan dengan menggunakan analisis korelasi kanonik. Pengujian dengan menggunakan analisis korelasi kanonik menunjukkan bahwa perilaku pemimpin dengan motivasi karyawan memiliki keeratan hubungan dengan nilai korelasi kanonik sebesar 0,9058533. Faktor perilaku pemimpin yang paling tinggi berkorelasi dengan motivasi kerja karyawan di McDonald’s Kuta Beach adalah faktor kemampuan mengarahkan dan menghadapi karyawan dengan nilai korelasi yaitu sebesar 0,7619707.
Perhitungan Iuran Normal Program Pensiun dengan Asumsi Suku Bunga Mengikuti Model Vasicek I Nyoman Widana; Ni Made Asih
Jurnal Matematika Vol 7 No 2 (2017)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2017.v07.i02.p85

Abstract

Labor has a very important role for national development. One way to optimize their productivity is to guarantee a certainty to earn income after retirement. Therefore the government and the private sector must have a program that can ensure the sustainability of this financial support. One option is a pension plan. The purpose of this study is to calculate the normal cost with the interest rate assumed to follow the Vasicek model and analyze the normal contribution of the pension program participants. Vasicek model is used to match with the actual conditions. The method used in this research is the Projected Unit Credit Method and the Entry Age Normal method. The data source of this research is lecturers of FMIPA Unud. In addition, secondary data is also used in the form of the interest rate of Bank Indonesia for the period of January 2006-December 2015. The results of this study indicate that the older the age of the participants, when starting the pension program, the greater the first year normal cost and the smaller the benefit which he or she will get. Then, normal cost with constant interest rate greater than normal cost with Vasicek interest rate. This occurs because the Vasicek model predicts interest between 4.8879%, up to 6.8384%. While constant interest is only 4.25%. In addition, using normal cost that proportional to salary, it is found that the older the age of the participants the greater the proportion of the salary for normal cost.
PEMBERIAN MANIPULASI MILLS PADA TERAPI ULTRASOUND (US) DAN TRANSCUTANEUS ELECTRICAL NERVE STIMULATION (TENS) DAPAT LEBIH MENURUNKAN INTENSITAS NYERI PADA TENNIS ELBOW TIPE II Ni Made Sulasih
Majalah Ilmiah Fisioterapi Indonesia Vol 1 No 2 (2013): Majalah Ilmiah Fisioterapi Indonesia
Publisher : Bachelor of Physiotherapy and Physiotherapy Profession Study Program, Faculty of Medicine, Udayana University in collaboration with Indonesian Physiotherapy Association (IPA)

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (62.89 KB)

Abstract

Tennis elbow is a painful type II lateral epicondilus characterized by inflammation of the extensor carpi radialis brevis tendoperiosteal due to the use of the hand and wrist excessively, causing small tears in the extensor carpi radialis brevis tendoperiosteal. This study aimed to determine the additional Mill’s manipulation in the US and TENS therapy can further decrease pain in tennis elbow type II. The study was conducted with the design of pre-test and post-test control group, which found the number of samples for the control group with the intervention of the US and TENS as many as 14 people, and the treatment group by the US, TENS, and Mill’s manipulation as many as 14 people. From the results of hypothesis testing using two different test average is paired sample t-test in the control group obtained t value of 40.48 with a mean value of 49.93, p
APLIKASI METODE ROTATED GUMBEL COPULA UNTUK MENGESTIMASI VALUE AT RISK PADA INDEKS SAHAM PASAR ASIA IKHSAN AKBAR; KOMANG DHARMAWAN; NI MADE ASIH
E-Jurnal Matematika Vol 8 No 3 (2019)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2019.v08.i03.p255

Abstract

Value at Risk is a tool used to calculate the value of risk in investing. The purpose of this study was to estimate VaR in the portfolio using the rotated Copula Gumbel approach, which originated from the Archimedean copula family. Copula can provide an overview of the relationship between random VaRiables on a quantil scale which is very useful in explaining the interrelationships in extreme events. This VaR calculation is used in portfolios from the Indonesian stock index (JKSE), Malaysia (KLSE), Singapore (STI), and South Korea (KOSPI), in the period of June 1, 2016 to June 1, 2018 (519 data). VaR is calculated using a daily period with a confidence level of 99%. So that the VaR of each portfolio is obtained, JKSE-KLSE is 1.41%, JKSE-STI is 1.38%, JKSE-KOSPI is 1.39%, KLSE-STI is 1.44%, KLSE-KOSPI is 1.42%, KOSPI-STI is 1.48%. The highest risk level that can be derived from the portfolio contains a combination of the Singapore stock index (STI) and the South Korean stock index (KOSPI).
APLIKASI ALGORITMA GENETIKA UNTUK MERAMALKAN KONSUMSI PREMIUM KOTA DENPASAR VICTOR MALLANG; KETUT JAYANEGARA; NI MADE ASIH; I PUTU EKA N. KENCANA
E-Jurnal Matematika Vol 3 No 4 (2014)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2014.v03.i04.p079

Abstract

This research aimed to forecast the gasoline demand at Denpasar using genetic algorithm method. This  algorithm was selected because of easy to implement and its ability to find acceptable solution quickly.  This algorithm works by searching the best individu according to fitness function defined. The series data used in the research were 60 observations of monthly gasoline demand at Denpasar for period January 2009 through December 2013.  By observing the Partial Autocorrelation Function (PACF) plot, we found the last lag before the series become stationer was sixth lag.  Based on this finding, we decided the best individu was represented by six genes. This individu, in addition, was used to make in-sample forecasting.  The forecasted data had mean absolute error (MAE) as much as 553,27 kiloliters.  For one semester out-of sample forecast, we found gasoline consumption fluctuated with lowest and highest consumption were for February 2014 and June 2014, respectively.
OPTIMALISASI PENJUALAN KAIN ENDEK DENGAN METODE KARUSH-KUHN-TUCKER (KKT) I GEDE ARIS JANOVA PUTRA; NI MADE ASIH; I NYOMAN WIDANA
E-Jurnal Matematika Vol 4 No 4 (2015)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2015.v04.i04.p105

Abstract

This study is conducted to determine the optimal sales value of endek mastuli, endek rangrang, endek saraswati, endek gradasi, and endek alam in Novala Busana Shop and Trans Collection Shop in order to reache maximum advantage by using Karush-Kuhn-Tucker (KKT) method. Karush-Khun-Tucker method can be used to find the optimum solution of the function regardless of whether linear or nonlinear. In the workmanship is KKT method essentially involves the same steps as Lagrange method, from a Lagrangean to be able to calculate the critical points, finding all solutions , and calculate of the value . In this study, most of quarterly show that which must be sold are kind of endek mastuli in reaching the maximum benefit. For other kinds of endek is constantly provided but it is not as much as before. Suggested to the next research could involve more variated variable with more interesting cases
Co-Authors Ayuk Dwi Cahyani Desak Putu Eka Nilakusmawati EKA VIRGIA PURWANTI FEMY AYU ASTITI G. K. Gandhiadi I GEDE ARIS JANOVA PUTRA I GEDE ARY SUARTAMA I GEDE WIKAN ADIWIGUNA I Gusti Ayu Made Srinadi I KOMANG GDE SUKARSA I Nyoman Widana I PUTU EKA IRAWAN I Putu Eka Nila Kencana I Wayan Sumarjaya IDA AYU PUTU CANDRA DEWI IKHSAN AKBAR INTAN AWYA WAHARIKA KADEK FRISCA AYU DEVI Ketut Jayanegara Komang Dharmawan Lilik Ika Rahmawati Lilik Ika Rahmawati MAKBUL MUFLIHUNALLAH MOH. GHISTA KUSUMA SHAFARDA NANDA NINGTYAS RAMADHANI UTAMI NI KADEK LESTARI PUTRI Ni Luh Putu Suciptawati PUTU AYU MAZIYYA TRISNA RAMADHAN VICTOR MALLANG WIRYA SEDANA