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Journal Cover Jurnal Fourier
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  This is an Open Access Journal Open Access journal
   ISSN (Print) 2252-763X - ISSN (Online) 2541-5239
   Published by UIN Sunan Kalijaga Yogyakarta Homepage  [5 journals]
  • Protokol Otentikasi Berdasarkan Masalah Konjugasi Pada Grup Unit Atas Ring
           Endomorfisma END(Z_p×Z_(p^2 ) )

    • Authors: Muhamad Zaki Riyanto
      Pages: 1 - 8
      Abstract: Diberikan suatu bilangan prima p, maka adalah ring non-komutatif dengan elemen satuan dan memuat sebanyak  elemen. Climent et.al. (2011) telah menunjukkan bahwa ring isomorfis dengan ring , serta memberikan penerapan dari ring tersebut dalam kriptografi, yaitu berupa protokol pertukaran kunci berdasarkan masalah dekomposisi. Pada makalah ini, protokol pertukaran kunci tersebut dikembangkan menjadi suatu protokol otentikasi. Fungsi dari protokol otentikasi adalah sebagai sarana untuk membuktikan kebenaran identitas pihak pengirim (user) kepada pihak penerima (server). Dalam makalah ini diperkenalkan suatu protokol otentikasi yang didasarkan pada masalah konjugasi pada grup unit . Penggunaan grup unit unit  didasarkan pada fakta bahwa grup ini memuat sebanyak  elemen. Apabila semakin besar bilangan prima p yang digunakan, maka diharapkan masalah konjugasi pada grup  menjadi lebih sulit untuk dipecahkan.
      PubDate: 2017-04-03
      DOI: 10.14421/fourier.2017.61.1-8
      Issue No: Vol. 6, No. 1 (2017)
       
  • Kesemiprimaan Aljabar Lintasan dan Aljabar Lintasan Leavit

    • Authors: Khurul Wardati
      Pages: 9 - 20
      Abstract: Aljabar lintasan RE dan aljabar lintasan Leavitt LR (E) atas ring komutatif unital R dikonstruksi dari semigrupring yang merupakan aljabar asosiatif dan bebas. Syarat perlu dan cukup RE prima mendasar, semiprima mendasar dan LR (E) prima mendasar masing-masing berkaitan dengan struktur grafnya. Akan tetapi, kesemiprimaan LR (E) bergantung pada R yang semiprima. Hal ini berakibat sebarang aljabar lintasan leavitt atas lapangan selalu semiprima.  
      PubDate: 2017-04-03
      DOI: 10.14421/fourier.2017.61.9-20
      Issue No: Vol. 6, No. 1 (2017)
       
  • Kaitan Antara Ruang Sobolev dan Ruang Lebesgue

    • Authors: Pipit Pratiwi Rahayu
      Pages: 21 - 26
      Abstract: Measureable function space and its norm with integral form has been known, one of which is Lebegsue Space and Sobolev Space. In applied Mathematics like in finding solution of partial differential equations, that two spaces is soo usefulness. Sobolev space is subset of Lebesgue space, its mean if we have a function that element of Sobolev Space then its element of Lebesgue space. But the converse of this condition is not applicable. In this research, we will give an example to shows that there is a function element of Lebesgue space but not element of Sobolev space
      PubDate: 2017-04-03
      DOI: 10.14421/fourier.2017.61.21-26
      Issue No: Vol. 6, No. 1 (2017)
       
  • Optimasi Perencanaan Produksi Kue Dan Bakery di Home Industry “SELARAS
           CAKE” Menggunakan Model Goal Programming

    • Authors: Nusaibah Al Istiqomah, Dwi Lestari
      Pages: 27 - 35
      Abstract: This study aimed to: know the model of the production planning problem solving goal programming model without the priority objectives and goal programming model of the priority goals, determine the demand forecast cakes and bakery as well as to determine which is optimal between the two models in determining the amount of production. This research was conducted in bakery products such as cakes and banana muffins, brownies, sponge rollers, greenis, bakery and chocolate pizza bakery. By reviewing of some of the literature, this problem can be solved by using a goal programming models and models without priority objectives programminng goal with the priority goal. Based on the research, production plans generated from both models is identical, ie the amount of production of banana muffins as many as 31 586 units, greenis as many as 31 839 units, sponge rollers as many as 31 839 units, brownies as many as 60645 units, chocolate bakery as many as 16 425 units, and pizza bakery as many as 164 245 units , Meanwhile, on the model of goal programming without priority objectives the company obtained revenue of Rp 426,034,500.00 with a production cost of US $ 147,021,000.00, while the advantages of goal programming models with a priority goal of Rp 376,759,500.00 and production costs Rp 131,006,600.00. This means, if the profit is assumed to revenue minus production costs, then for a greater profit, the company suggested using the model of goal programming without priority objectives for yield greater reductions.
      PubDate: 2017-04-04
      DOI: 10.14421/fourier.2017.61.27-35
      Issue No: Vol. 6, No. 1 (2017)
       
  • Analisis Risiko Investasi Saham Syariah Dengan Model Value AT
           Risk-Asymmetric Power Autoregressive Conditional Heterocedasticity
           (VaR-APARCH)

    • Authors: Syarif Hidayatullah, Mohammad Farhan Qudratullah
      Pages: 37 - 43
      Abstract: Penelitian ini membahas analisis risiko data runtun waktu dengan model Value at Risk- Asymmetric Power Autoregressive Conditional Heteroscedasticity (VaR-APARCH)dalam pasar modal syariah. Metode yang digunakan dalam penelitian ini adalah penerapan kasus.Data yang digunakan adalah harga penutupan harian saham dalam Jakarta Islamic Index (JII)periode 4 Maret 2013 sampai 8 April 2015.Model APARCH yang dipilih berdasarkan nilai Schwarz Criterion (SC).Langkah-langkah dalam penelitian ini adalah menguji kestasioneran data, mengidentifikasi model ARIMA,mengestimasi parameter model ARIMA, menguji diagnostik model ARIMA, mendeteksi ada tidaknya unsur ARCH atau unsur heteroskedastisitas, uji asimetris data saham, mengestimasi model APARCH, menguji diagnostik model APARCH, dan menghitung risiko dengan VaR-APARCH.Model terbaik yang dipilih adalah ARIMA ((3),0,0) dan APARCH (1,1). Model ini valid untuk menganalisis besar risiko investasi dalam jangka waktu 10 hari ke depan.
      PubDate: 2017-04-04
      DOI: 10.14421/fourier.2017.61.37-43
      Issue No: Vol. 6, No. 1 (2017)
       
 
 
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