Asymptotic sign-solvability, multiple objective linear programming, and the nonsubstitution theorem

نویسندگان

  • Lawrence Cayton
  • R. Herring
  • A. Holder
  • J. Holzer
  • C. Nightingale
  • T. Stohs
چکیده

In this paper we investigate the asymptotic stability of dynamic, multipleobjective linear programs. In particular, we show that a generalization of the optimal partition stabilizes for a large class of data functions. This result is based on a new theorem about asymptotic sign-solvable systems. The stability properties of the generalized optimal partition are used to extend a dynamic version of the Nonsubstitution Theorem.

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عنوان ژورنال:
  • Math. Meth. of OR

دوره 64  شماره 

صفحات  -

تاریخ انتشار 2006