The Owen Set and the Core of Semi-Infinite Linear Production Situations

  • Stef Tijs
  • Judith Timmer
  • Natividad Llorca
  • Joaquín Sánchez-Soriano
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 57)


We study linear production situations with an infinite number of production techniques. Such a situation gives rise to a semi-infinite linear program. Related to this program, we introduce primal and dual games and study relations between these games, the cores of these games and the so-called Owen set.


Production Plan Maximal Profit Shadow Price Transformation Technique Grand Coalition 
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Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • Stef Tijs
    • 1
  • Judith Timmer
    • 1
  • Natividad Llorca
    • 2
  • Joaquín Sánchez-Soriano
    • 2
  1. 1.CentER and Department of EconometricsTilburg UniversityTilburgThe Netherlands
  2. 2.Department o f Statistics and Applied MathematicsMiguel Hernández UniversityElcheSpain

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