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An amoeboid algorithm for solving linear transportation problem

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  • Gao, Cai
  • Yan, Chao
  • Zhang, Zili
  • Hu, Yong
  • Mahadevan, Sankaran
  • Deng, Yong

Abstract

Transportation Problem (TP) is one of the basic operational research problems, which plays an important role in many practical applications. In this paper, a bio-inspired mathematical model is proposed to handle the Linear Transportation Problem (LTP) in directed networks by modifying the original amoeba model Physarum Solver. Several examples are used to prove that the provided model can effectively solve Balanced Transportation Problem (BTP), Unbalanced Transportation Problem (UTP), especially the Generalized Transportation Problem (GTP), in a nondiscrete way.

Suggested Citation

  • Gao, Cai & Yan, Chao & Zhang, Zili & Hu, Yong & Mahadevan, Sankaran & Deng, Yong, 2014. "An amoeboid algorithm for solving linear transportation problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 398(C), pages 179-186.
    • Handle: RePEc:eee:phsmap:v:398:y:2014:i:c:p:179-186
    DOI: 10.1016/j.physa.2013.12.023
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    References listed on IDEAS

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