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Network Flow Problems With Step Cost Functions

In: Supply Chain And Finance

Author

Listed:
  • R. Yang

    (Department of Industrial and Systems Engineering, University of Florida, 303 Weil Hall, Gainesville, FL 32611, USA)

  • P. M. Pardalos

    (Department of Industrial and Systems Engineering, University of Florida, 303 Weil Hall, Gainesville, FL 32611, USA)

Abstract

Network flow problems are widely studied, especially for those having convex cost functions, fixed-charge cost functions, and concave functions. However, network flow problems with general nonlinear cost functions receive little attention. The problems with step cost functions are important due to the many practical applications. In this paper, these problems are discussed and formulated as equivalent mathematical mixed 0-1 linear programming problems. Computational results on randomly generated test beds for these exact approached solution procedure are reported in the paper.

Suggested Citation

  • R. Yang & P. M. Pardalos, 2004. "Network Flow Problems With Step Cost Functions," World Scientific Book Chapters, in: Panos M Pardalos & Athanasios Migdalas & George Baourakis (ed.), Supply Chain And Finance, chapter 18, pages 299-313, World Scientific Publishing Co. Pte. Ltd..
    • Handle: RePEc:wsi:wschap:9789812562586_0018
    as

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