6) over the sequence of the forcing vector, the dynamic programming method and Bellman principle of optimality are applied.

Bellman principle of optimality which makes the identified results only be relevant to the responses of current and adjacent moments measured results, and irrelevant to the past responses and inverse results.

The mathematical formulation of the optimization problem here demands that the problem in equations (1-2) be reformulated using Pontryagin's Minimum Principle (PMP) and the principle of optimality of Hamilton, Jacobi and Bellman (HJB).

The second principle under the indirect approach is the Hamilton Jacobi-Bellman (HJB) formulation that transforms the problem of optimizing the cost functional [PHI] in (2) into the resolution of a partial differential equation by utilizing the principle of optimality in equation (11) (Bryson and Ho, 1975; Kirk, 1970).

First, we present an algorithm that can guarantee the optimal evaluation of queries with user-defined predicates with no assumptions on the cost model except that it follows the principle of optimality [Cormen et al.

It is assumed that the problem of query optimization satisfies the principle of optimality [Cormen et al.

The cost function assigns a real number to any given plan in the execution space that we have chosen and satisfies the principle of optimality [Cormen et al.

Such an approach guarantees the optimal, since the optimization problem satisfies the principle of optimality, i.

Moreover, the principle of optimality is self-explanatory: it is for the best that everything should be for the best (p.

One worries, however, whether the principle of optimality is not in fact more ontologically obscure than the theistic explanation.

It is, rather, the

principle of optimality reflected in the second premise that is self-explanatory--the fact that the best possible order exists.