Abstract
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7.1 Introduction
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7.2 Bracket words
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7.3 Expansion in continued fractions
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7.4 Average waiting time in a single queue
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7.4.1 Jumps
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7.4.2 Formula of the average waiting time
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7.4.3 Properties
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7.5 Average waiting time for two queues
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7.5.1 Presentation of the Model
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7.5.2 Optimal Policies
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7.5.3 Optimal Ratio
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7.5.4 Algorithm and computational issues
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7.6 Numerical experiments
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7.7 Appendix: proof of Theorem 29
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7.8 Appendix: proof of Lemma 37
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7.9 Appendix 7.9 : proof of Theorem 30
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© 2003 Springer-Verlag Berlin Heidelberg
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Altman, E., Gaujal, B., Hordijk, A. (2003). Part II: 7 Optimal routing in two deterministic queues. In: Discrete-Event Control of Stochastic Networks: Multimodularity and Regularity. Lecture Notes in Mathematics, vol 1829. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39705-2_8
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DOI: https://doi.org/10.1007/978-3-540-39705-2_8
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