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このアイテムの引用には次の識別子を使用してください: http://hdl.handle.net/10445/4393

タイトル: A method inspired by Physarum for solving the Steiner problem
著者: Tero, Atsushi
Nakagaki, Toshiyuki
Toyabe, Kazutaka
Yumiki, Kenji
Kobayashi, Ryo
アブストラクト: We propose a new solver for the Steiner tree problem, inspired by a true slime mold Physarum polycephalum. This problem involves finding the network that connects multiple points on a plane through the shortest total length. Such a network is known as the Steiner minimum tree (SMT). The solution of this problem is important for the design of transport and communication networks, but is not easy to obtain because the computational time required increases rapidly with the number of points. Using Melzak’s algorithm, it is almost impossible to find the best solution for more than thirty points. However, it is known that an amoeboid organism, Physarum plasmodium, can construct a network on an agar plate between many points at which food is placed. Because the Physarum network sometimes has the same topology as the SMT, we have studied how this is achieved by constructing a mathematical model for the network dynamics, based on the physiological mechanism. Our investigation enables us to propose and discuss the prospects of a new method for solving the Steiner problem.
研究業績種別: 原著論文/Original Paper
資料種別: Journal Article
査読有無: あり/yes
単著共著: 共著/joint
発表雑誌名,発表学会名など: International Journal of Unconventional Computing
巻: 6
開始ページ: 109
終了ページ: 123
年月日: 2010年
出現コレクション:中垣 俊之

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