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- W2022649112 abstract "It is being stated in recent literature that greedy policies provide optimal scheduling for identical scalar Gauss-Markov systems. Here, the performance index is the sum of the covariances of the systems from time 1 to a time horizon <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>N</i> . The scheduling decisions from time 0 to <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>N</i> -1 constitute the policy. In this note we show that when <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>N</i> =1, the statement is true. Our main result is to show that when <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>N</i> =2 the greedy policy fails to be optimal for identical scalar Gauss-Markov systems, in contradiction to the statement, and illustrating the complexity of the problem." @default.
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- W2022649112 date "2011-12-01" @default.
- W2022649112 modified "2023-09-24" @default.
- W2022649112 title "A Note on Greedy Policies for Scheduling Scalar Gauss-Markov Systems" @default.
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- W2022649112 doi "https://doi.org/10.1109/tac.2011.2161837" @default.
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