Memory Loss Property for Products of Random Matrices in the Max-Plus Algebra
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چکیده
منابع مشابه
Memory Loss Property for Products of Random Matrices in the Max-Plus Algebra
Products of random matrices in the max-plus algebra are used as a model for a class of discrete event dynamical systems. This can model a wide range of systems including train or queuing networks, job-shop, timed digital circuits or parallel processing systems. Some stability results have been proved under the so-called memory loss property. When the random matrices are i.i.d, we prove that the...
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Products of random matrices in the (max,+) algebra are used as a model for a class of discrete event dynamical systems. J. Mairesse proved that such a system couples in finite times with a unique stationary regime if and only if it has a memory loss property. When the system is driven by an i.i.d sequence, we prove that the memory loss property is generic in the following sense : if it is not f...
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ژورنال
عنوان ژورنال: Mathematics of Operations Research
سال: 2010
ISSN: 0364-765X,1526-5471
DOI: 10.1287/moor.1090.0434