A method inspired by Physarum for solving the Steiner problem

Atsushi Tero, Toshiyuki Nakagaki, Kazutaka Toyabe, Kenji Yumiki, Ryo Kobayashi

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)109-123
Number of pages15
JournalInternational Journal of Unconventional Computing
Volume6
Issue number2
Publication statusPublished - May 26 2010
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Computer Science(all)

Fingerprint Dive into the research topics of 'A method inspired by Physarum for solving the Steiner problem'. Together they form a unique fingerprint.

  • Cite this

    Tero, A., Nakagaki, T., Toyabe, K., Yumiki, K., & Kobayashi, R. (2010). A method inspired by Physarum for solving the Steiner problem. International Journal of Unconventional Computing, 6(2), 109-123.