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Emut Emut
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Computer Science & IT Decision Sciences, Operations Research & Management Education Mathematics

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PRELIMINARY STUDY ON APPLICATION OF MAX PLUS ALGEBRA IN DISTRIBUTED STORAGE SYSTEM THROUGH NETWORK CODING Agus Maman Abadi; Musthofa Musthofa; Emut Emut
Jurnal Sains Dasar Vol 4, No 1 (2015): April 2015
Publisher : Faculty of Mathematics and Natural Science, Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (95.393 KB) | DOI: 10.21831/jsd.v4i1.8420

Abstract

The increasing need in techniques of storing big data presents a new challenge. One way to address this challenge is the use of distributed storage systems. One strategy that implemented in distributed data storage systems is the use of Erasure Code which applied to network coding. The code used in this technique is based on the algebraic structure which is called as vector space. Some studies have also been carried out to create code that is based on other algebraic structures such as module.  In this study, we are going to try to set up a code based on the algebraic structure which is a generalization of the module that is semimodule by utilizing the max operations and sum operations at max plus algebra. The results of this study indicate that the max operation and the addition operation on max plus algebra cannot be used to establish a semimodule code, but by modifying the operation "+" as "min", we get a code based on semimodule. Keywords:   code, distributed storage systems, network coding, semimodule, max plus algebra
APLIKASI ALGORITMA HYBRID FUZZY-WARSHALLUNTUK MENENTUKAN RUTE TERCEPAT JARINGAN KERJA POLRES MAGELANG KOTA Dzikri Udkhia Rizqi Dzikri Udkhia Rizqi; Emut Emut; Nur Hadi Waryanto Nur Hadi Waryanto
Jurnal Kajian dan Terapan Matematika Vol 5, No 1 (2016): Jurnal Matematika
Publisher : Jurnal Kajian dan Terapan Matematika

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Abstract

" Kota Magelang merupakan salah satu kota yang memiliki potensi timbulnya tindakan kriminal maupunpelanggaran hukum. Permasalahan seperti ini tentu harus mendapat penanganan cepat dari pihak kepolisian. Salahsatu upaya untuk mendukung kinerja kepolisian adalah dengan menentukan rute tercepat menuju Tempat KejadianPerkara. Dalam skripsi ini, gabungan nilai panjang jalan dan kepadatan lalu lintas jalan di Kota Magelang akandiolah dengan Logika Fuzzy menjadi suatu nilai kemacetan jalan. Selanjutnya nilai kemacetan jalan tersebutdigunakan untuk mencari rute terpendek jaringan kerja Polres Magelang Kota dengan Algoritma Warshall.Pengolahan data dilakukan dengan software bantu Matlab R2010b. Hasil perhitungan menghasilkan rute tercepatberdasarkan nilai kemacetan jalan yang paling minimum dari semua titik rawan ke titik rawan lainnya. Ini artinyatelah ditemukan rute tercepat dari titik pusat (�1) yaitu Polres Magelang Kota ke semua titik rawan.
Co-Authors Agus Maman Abadi Dzikri Udkhia Rizqi Dzikri Udkhia Rizqi Musthofa Musthofa Nur Hadi Waryanto Nur Hadi Waryanto