Dynamic Min-Max Problems

  • Authors:
  • Uwe Schwiegelshohn;Lothar Thiele

  • Affiliations:
  • University Dortmund, Computer Engineering Institute, D-44221 Dortmund, Germany;Swiss Federal Institute of Technology (ETH), Computer Engineering and Networks Laboratory, CH-8092 Zurich, Switzerland

  • Venue:
  • Discrete Event Dynamic Systems
  • Year:
  • 1999

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Abstract

Inthis paper a method to check the solvability of a set of linearequations in the (\max, \min, +) algebra is described.Then, extensions to dynamic (or periodic) systems in the (\max,\min, +) algebra are provided. Further, some results regardingthe uniqueness of solutions in both cases are given. Finally,we address a more general quasi periodic problem and providean algorithm for its solution.