Semi-Infinite Assignment and Transportation Games

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


Games corresponding to semi-infinite transportation and related assignment situations are studied. In a semi-infinite transportation situation, one aims at maximizing the profit from the transportation of a certain good from a finite number of suppliers to an infinite number of demanders. An assignment situation is a special kind of transportation situation where the supplies and demands for the good all equal one unit. It is shown that the special structure of these situations implies that the underlying infinite programs have no duality gap and that the core of the corresponding game is nonempty.


Assignment Problem Transportation Problem Demand Point Transportation Plan Cooperative Game Theory 
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Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • Joaquín Sánchez-Soriano
    • 1
  • Natividad Llorca
    • 1
  • Stef Tijs
    • 2
  • Judith Timmer
    • 2
  1. 1.Department of Statistics and Applied MathematicsMiguel Hernández UniversityElcheSpain
  2. 2.CentER and Department of Econometrics and Operations ResearchTilburg UniversityLE TilburgThe Netherlands

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