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An Overview of Transience Bounds in Max-Plus Algebra

Published 14 May 2014 in math.CO and cs.DM | (1405.3458v1)

Abstract: We survey and discuss upper bounds on the length of the transient phase of max-plus linear systems and sequences of max-plus matrix powers. In particular, we explain how to extend a result by Nachtigall to yield a new approach for proving such bounds and we state an asymptotic tightness result by using an example given by Hartmann and Arguelles.

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