Penerapan Algoritma Prim dalam Menentukan Minimum Spanning Tree (MST) (Studi Kasus: Jaringan Pipa PDAM Tirta Muaro Jambi)
نویسندگان
چکیده
Salah satu contoh masalah dalam graf adalah pencarian pohon merentang. Terdapat dua kasus yang pada umumnya dibahas merentang, yaitu merentang maksimum dan minimum. Ada beberapa algoritma dapat digunakan untuk mencari minimum dari sebuah berbobot atau dikenal dengan istilah Minimum Spanning Tree (MST). Pada penelitian ini dilakukan jaringan pipa air PDAM perumahan mendalo asri, menggunakan Algoritma Prim. Pencarian secara manual software TORA. Pengambilan data di kantor Tirta Muaro Jambi, Provinsi Jambi. Dari diperoleh disusun gambar bentuk terhubung tak berarah serta memiliki bobot. tersebut selanjutnya Tree. ini, diketahui bahwa prim baik maupun bantuan TORA, menunjukkan pemilihan sisi iterasi sama menghasilkan struktur MST jumlah bobot juga sebesar 5.876 meter. Dibandingkan awal 7.898 meter, maka hasil selisih cukup signifikan 2.022
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This first algorithm is quite simple. (Though this was probably known earlier, its proof can be found in Prof. Indyk’s 1999 paper “Sublinear Time Algorithms for Metric Space Problems”.) Let Dij denote the distance between a pair of points i and j, over m total points. The entries of Dij must satisfy the triangle inequality; additionally the matrix is symmetric. Note that the matrix size (i.e., ...
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متن کاملAn Efficient Distance-Energy-based Minimum Spanning Tree (DE-MST) for Wireless Sensor Networks
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متن کاملAn Efficient Distance-Energy-based Minimum Spanning Tree (DE-MST) for Wireless Sensor Networks
The sensor nodes used in Wireless Sensor Networks (WSN) perform close-range sensing in any environment and are compact, battery-powered, light-weight devices. The overall network performance depends on the routing protocols in the network layer and the flow control protocols at the data link layer. This study proposes a novel routing protocol by adapting the Minimum Spanning Tree (MST), Low-Ene...
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ژورنال
عنوان ژورنال: Jurnal Ilmiah Matematika dan Terapan (Jurusan Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Tadulako)
سال: 2022
ISSN: ['1829-8133', '2540-766X']
DOI: https://doi.org/10.22487/2540766x.2022.v19.i1.15890