Models of Technologies by Mikhail V. Belov & Dmitry A. Novikov

Models of Technologies by Mikhail V. Belov & Dmitry A. Novikov

Author:Mikhail V. Belov & Dmitry A. Novikov
Language: eng
Format: epub
ISBN: 9783030310844
Publisher: Springer International Publishing


For , the value has the compact approximation

and

(2.8)

Note that expression (2.8) coincides with the approximate solution of the equation (see (2.2)), for which

Next, calculate the expected time of reaching the “absolute” learning level Lt = 1.

Assume several states of the environment have been tested by some time; let I ≤ K states with the probabilities {pi; i =  } be still unknown. Clearly, .

Denote by T({pi; i =  }) the expected time of testing the residual I states, i.e., the expected time of reaching the learning level Lt = 1. Using mathematical induction, prove the formula



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