The Owen set and the core of semi-infinite linear production situations

Stef Tijs, Judith B. Timmer, Natividad Llorca, Joaqu´ın Sánchez-Soriano

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Abstract

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.
Original languageUndefined
Title of host publicationSemi-Infinite Programming
EditorsMiguel Ángel Goberna, Marco A. López
Place of PublicationDordrecht
PublisherKluwer Academic Publishers
Pages365-386
Number of pages14
ISBN (Print)978-1-4020-0032-4
Publication statusPublished - 2001

Publication series

NameNonconvex Optimization and Its Applications
PublisherKluwer Academic Publishers
Volume57

Keywords

  • EWI-18079
  • METIS-201323
  • IR-72753
  • Core
  • Cooperative games
  • duality gap
  • linear production

Cite this

Tijs, S., Timmer, J. B., Llorca, N., & Sánchez-Soriano, J. (2001). The Owen set and the core of semi-infinite linear production situations. In M. Á. Goberna, & M. A. López (Eds.), Semi-Infinite Programming (pp. 365-386). (Nonconvex Optimization and Its Applications; Vol. 57). Dordrecht: Kluwer Academic Publishers.