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Algorithm for Monitoring Minimum Cost in Fuzzy Dynamic Networks

Author

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  • Bozhenyuk Alexander
  • Gerasimenko Evgeniya

    (Southern Federal University)

Abstract

The present paper examines the task of minimum cost flow finding in a fuzzy dynamic network with lower flow bounds. The distinguishing feature of this problem statement lies in the fuzzy nature of the network parameters, such as flow bounds, transmission costs and transit times. The arcs of the considered network have lower bounds. Another feature of this task is that fuzzy flow bounds, costs and transit times can vary depending on the flow departure time. Algorithm, which implements the solution of considered problem, is proposed.

Suggested Citation

  • Bozhenyuk Alexander & Gerasimenko Evgeniya, 2013. "Algorithm for Monitoring Minimum Cost in Fuzzy Dynamic Networks," Information Technology and Management Science, Sciendo, vol. 16(1), pages 53-59, December.
    • Handle: RePEc:vrs:itmasc:v:16:y:2013:i:1:p:53-59:n:8
    DOI: 10.2478/itms-2013-0008
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    References listed on IDEAS

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    1. L. R. Ford & D. R. Fulkerson, 1958. "Constructing Maximal Dynamic Flows from Static Flows," Operations Research, INFORMS, vol. 6(3), pages 419-433, June.
    2. Cai, X. & Sha, D. & Wong, C. K., 2001. "Time-varying minimum cost flow problems," European Journal of Operational Research, Elsevier, vol. 131(2), pages 352-374, June.
    3. Ahuja, Ravindra & Orlin, James & Pallottino, Stefano & Scutella, Maria, 2003. "Dynamic Shortest Paths Minimizing Travel Times And Costs," Working papers 4390-02, Massachusetts Institute of Technology (MIT), Sloan School of Management.
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