A Slime Mold Solver for Linear Programming Problems

  • Anders Johannson
  • James Zou
Conference paper

DOI: 10.1007/978-3-642-30870-3_35

Part of the Lecture Notes in Computer Science book series (LNCS, volume 7318)
Cite this paper as:
Johannson A., Zou J. (2012) A Slime Mold Solver for Linear Programming Problems. In: Cooper S.B., Dawar A., Löwe B. (eds) How the World Computes. CiE 2012. Lecture Notes in Computer Science, vol 7318. Springer, Berlin, Heidelberg

Abstract

Physarum polycephalum (true slime mold) has recently emerged as a fascinating example of biological computation through morphogenesis. Despite being a single cell organism, experiments have observed that through its growth process, the Physarum is able to solve various minimum cost flow problems. This paper analyzes a mathematical model of the Physarum growth dynamics. We show how to encode general linear programming (LP) problems as instances of the Physarum. We prove that under the growth dynamics, the Physarum is guaranteed to converge to the optimal solution of the LP. We further derive an efficient discrete algorithm based on the Physarum model, and experimentally verify its performance on assignment problems.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Anders Johannson
    • 1
  • James Zou
    • 2
  1. 1.Department of MathematicsUppsala UniversityUppsalaSweden
  2. 2.School of Engineering and Applied SciencesHarvard UniversityCambridgeUnited States of America

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