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Conservation Laws, Extended Polymatroids and Multi-Armed Bandit Problems: An Unified Approach to Indexable Systems
Excerpt from Conservation Laws, Extended Polymatroids and Multi-Armed Bandit Problems: An Unified Approach to Indexable Systems
An interesting distinction, which is not emphasized in the literature, is that examples (1) and (2) above are indexable systems, but they are not in general decomposable systems. Example however, has a more refined structure. It is indexable, but not decomposable. Under discounting, while it is decomposable under the average cost criterion (the cu rule). As already observed, the multi-armed bandit problem is an example of a decomposable system, while example (4) above is also decomposable.
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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
An interesting distinction, which is not emphasized in the literature, is that examples (1) and (2) above are indexable systems, but they are not in general decomposable systems. Example however, has a more refined structure. It is indexable, but not decomposable. Under discounting, while it is decomposable under the average cost criterion (the cu rule). As already observed, the multi-armed bandit problem is an example of a decomposable system, while example (4) above is also decomposable.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
61 pages, Hardcover
First published August 5, 2015
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