Annals of Operations Research

, Volume 25, Issue 1, pp 75–99 | Cite as

Minimum concave-cost network flow problems: Applications, complexity, and algorithms

  • G. M. Guisewite
  • P. M. Pardalos
Article

Abstract

We discuss a wide range of results for minimum concave-cost network flow problems, including related applications, complexity issues, and solution techniques. Applications from production and inventory planning, and transportation and communication network design are discussed. New complexity results are proved which show that this problem is NP-hard for cases with cost functions other than fixed charge. An overview of solution techniques for this problem is presented, with some new results given regarding the implementation of a particular branch-and-bound approach.

Keywords

Concave-cost network flow global optimization complexity theory NP-hard transportation problems 

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Copyright information

© J.C. Baltzer A.G. Scientific Publishing Company 1990

Authors and Affiliations

  • G. M. Guisewite
    • 1
  • P. M. Pardalos
    • 2
  1. 1.HRB SystemsState CollegeUSA
  2. 2.Department of Computer SciencePennsylvania State UniversityUniversity ParkUSA

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