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Foundations of Average-Cost Nonhomogeneous Controlled Markov Chains
Engelsk Paperback
Foundations of Average-Cost Nonhomogeneous Controlled Markov Chains
Engelsk Paperback

478 kr
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Om denne bog

This Springer brief addresses the challenges encountered in the study of  the optimization of time-nonhomogeneous Markov chains. It develops new insights and new methodologies for systems in which concepts such as stationarity, ergodicity, periodicity and connectivity do not apply.

This brief introduces the novel concept of confluencity and applies a relative optimization approach. It develops a comprehensive theory for optimization of the long-run average of time-nonhomogeneous Markov chains. The book shows that confluencity is the most fundamental concept in optimization, and that relative optimization is more suitable for treating the systems under consideration than standard ideas of dynamic programming. Using confluencity and relative optimization, the author classifies states as confluent or branching and shows how the under-selectivity issue of the long-run average can be easily addressed, multi-class optimization implemented, and Nth biases and Blackwell optimality conditions derived. These results are presented in a book for the first time and so may enhance the understanding of optimization and motivate new research ideas in the area.

Product detaljer
Sprog:
Engelsk
Sider:
120
ISBN-13:
9783030566777
Indbinding:
Paperback
Udgave:
ISBN-10:
3030566773
Udg. Dato:
10 sep 2020
Længde:
0mm
Bredde:
155mm
Højde:
235mm
Forlag:
Springer Nature Switzerland AG
Oplagsdato:
10 sep 2020
Forfatter(e):
Kategori sammenhænge