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Table 6 Optimal state distributions under the weighted reward criterion in scenario 1

From: Developing a weighted reward criterion for the Markov-based decision of road maintenance

	s ₁	s ₂	s ₃	s ₄	s ₅	s ₁	s ₂	s ₃	s ₄	s ₅	s ₁	s ₂	s ₃	s ₄	s ₅
	5th year					10th year					15th year
a ₁	0	0	0	0	0.005	0	0	0	0	0.002	0	0	0	0	0.001
a ₂	0	0	0.128	0	0	0	0	0.134	0.001	0	0	0	0.137	0	0
a ₃	0.240	0.573	0.011	0.043	0	0.168	0.682	0	0.013	0	0.153	0.702	0.001	0.006	0

	20th year					25th year					30th year
a ₁	0	0	0	0	0.001	0	0	0	0	0	0	0	0	0	0
a ₂	0	0	0.138	0	0	0	0	0.139	0	0	0	0	0.139	0	0
a ₃	0.150	0.705	0.002	0.004	0	0.149	0.707	0.002	0.003	0	0.149	0.707	0.002	0.003	0

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