Memory loss property for products of random matrices in the max-plus algebra

Memory loss property for products of random matrices in the max-plus algebra

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Article ID: iaor20102614
Volume: 35
Issue: 1
Start Page Number: 160
End Page Number: 172
Publication Date: Feb 2010
Journal: Mathematics of Operations Research
Authors:
Abstract:

Products of random matrices in the max-plus algebra are used as models of a wide range of discrete event systems, including train or queueing networks, job shops, timed digital circuits, or parallel processing systems. Several mathematical models such as timed event graph or task-resources models also lead to max-plus products of matrices.

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