Mathematical Programming

, Volume 72, Issue 3, pp 229–258 | Cite as

A strongly polynomial algorithm for a concave production-transportation problem with a fixed number of nonlinear variables

  • Hoang Tuy
  • Saied Ghannadan
  • Athanasios Migdalas
  • Peter Värbrand
Article

Abstract

We show that the production-transportation problem involving an arbitrary fixed number of factories with concave production cost is solvable in strongly polynomial time. The algorithm is based on a parametric approach which takes full advantage of the specific structure of the problem: monotonicity of the objective function along certain directions, small proportion of nonlinear variables and combinatorial properties implied by transportation constraints.

Keywords

Concave minimization Global optimization Combinatorial optimization Facility location Production-Transportation Parametric approach Strongly polynomial algorithm 

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Copyright information

© The Mathematical Programming Society, Inc. 1996

Authors and Affiliations

  • Hoang Tuy
    • 1
  • Saied Ghannadan
    • 1
  • Athanasios Migdalas
    • 1
  • Peter Värbrand
    • 1
  1. 1.Department of Mathematics, Division of OptimizationLinköping Institute of TechnologyLinköpingSweden
  2. 2.Institute of MathematicsHanoiViet Nam

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