An optimal policy is one which in some sense gets the best out of the process as a whole by maximizing the value of the product.

The essential characteristic of an optimal policy when the state of the stream is transformed in a sequence of stages with no feedback was first isolated by Bellman.

He recognized that whatever transformation may be effected in the first stage of an R-stage process, the remaining stages must use an optimal Af-stage policy with respect to the state resulting from the first stage, if there is to be any chance of optimizing the complete process.

Moreover, by systematically varying the operating conditions in the first stage and always using the optimal Af-stage policy for the remaining stages, we shall eventually find the optimal policy for all R stages.

If, however, we are seeking the optimal R-stage policy for a given feed state, only one search for a maximum is required at the final step.

But even more important than this is the fact that the direct search by simultaneously varying all operating conditions has produced only one optimal policy, namely, that for the given feed state and R stages.

The principle of optimality thus brings a vital organization into the search for the optimal policy of a multistage decision process.

An optimal policy is an admissible policy Af which maximizes the objective function P.

When it is necessary to be specific we say that the optimal policy is an optimal R-stage policy with respect to the feed state Af.

This is the feed state of the subsequent Af stages which, according to the principle of optimality, must use an optimal Af-stage policy with respect to this state.

In finding the optimal R-stage policy from that of Af stages, only the function Af is needed.

To extract the optimal R-stage policy with respect to the feed state Af, we enter section R of this table at the state Af and find immediately from the last column the maximum value of the objective function.

In the third column is given the optimal policy for stage R, and in the fourth, the resulting state of the stream when this policy is used.

However, FLARE has most likely not reached optimal design requirements and further understanding of FLARE and how it works is completely necessary to ensure the evolution of the technology.

Helsinki has an optimal location for great circle routes between Western Europe and the Far East.

Helsinki has an optimal location for great circle airline traffic routes between Western Europe and the Far East.

In addition to these critical items, the equipment used to assemble the cartridge also has an effect on its uniformity / consistency and optimal shape / size ; dies used to size the cartridges can be matched to the chamber of a given gun.

Decisions only reach an optimal when they are unanimous, when votes are not coerced and everyone has veto power ( Buchanan and Tullock 1962 ).

This entails defining a cost function such that, for the optimal solution ,-i. e., no solution has a cost less than the cost of the optimal solution ( see Mathematical optimization ).

Because it does not know the whole input, an online algorithm is forced to make decisions that may later turn out not to be optimal, and the study of online algorithms has focused on the quality of decision-making that is possible in this setting.

The main strand of domain centered research has been the research on color terminology, although this domain according to Lucy and admitted by color terminology researchers such as Paul Kay, is not optimal for studying linguistic relativity, because color perception, unlike other semantic domains, is known to be hard wired into the neural system and as such subject to more universal restrictions than other semantic domains.

* pitch-the " normal " speaking style has close to optimal pitch.

In fact, HA has been described as the ECM molecule that not only contributes to the maintenance of an optimal tissue viscosity that allows phonation, but also of an optimal tissue stiffness that allows frequency control.

Thinner pack ice over the Bering Sea has reduced the amount of resting habitat near optimal feeding grounds.

After spending some time building and stocking the raft and deciding when the weather conditions will be optimal ( using an analemma he has created in his cave to monitor the time of year ), he launches, using the sail to overcome the powerful surf.

Distributed. net has completed distributed massively parallel searches for optimal order-24, order-25 and order-26 Golomb rulers, confirming the suspected candidates.

Distributed. net also has plans to find optimal Golomb rulers ( OGRs ) of order-27 and order-28.

* Rational agent, entity which has clear preferences, models uncertainty via expected values, and always chooses to perform the action that results in the optimal outcome for itself from among all feasible actions

A current plenoptic camera design has 40, 000 lenses working together to grab the optimal picture.

Although the three-peg version has a simple recursive solution as outlined above, the optimal solution for the Tower of Hanoi problem with four pegs ( called Reve's puzzle ), let alone more pegs, is still an open problem.

The treatment of consumption in terms of cost-benefit analysis is known as optimal foraging theory, and has been quite successful in the study of animal behavior.

The DCT, and in particular the DCT-II, is often used in signal and image processing, especially for lossy data compression, because it has a strong " energy compaction " property ( Ahmed, Natarajan and Rao, 1974 ; Rao and Yip, 1990 ): most of the signal information tends to be concentrated in a few low-frequency components of the DCT, approaching the Karhunen-Loève transform ( which is optimal in the decorrelation sense ) for signals based on certain limits of Markov processes.

Welfare economics has shown that the existence of externalities results in outcomes that are not socially optimal.

One of his other findings resulted from measurements of the dependence of the intensity of the electric photo current on the gas pressure, where he found the existence of an optimal gas pressure P < sub > m </ sub > corresponding to a maximum photocurrent ; this property was used for a creation of solar cells.

The zero-sum property ( if one gains, another loses ) means that any result of a zero-sum situation is Pareto optimal ( generally, any game where all strategies are Pareto optimal is called a conflict game ).

The Coase Theorem states that assigning property rights will lead to an optimal solution, regardless of who receives them, if transaction costs are trivial and the number of parties negotiating is limited.

Controllability is an important property of a control system, and the controllability property plays a crucial role in many control problems, such as stabilization of unstable systems by feedback, or optimal control.

Optimal erasure codes have the property that any k out of the n code word symbols are sufficient to recover the original message ( i. e., they have optimal reception efficiency ).

As such, it has the desirable property that it is guaranteed to find the optimal local alignment with respect to the scoring system being used ( which includes the substitution matrix and the gap-scoring scheme ).

This property allows programs to produce an expectation value for the optimal local alignment of two sequences, which is a measure of how often two unrelated sequences would produce an optimal local alignment whose score is greater than or equal to the observed score.

In data compression, a universal code for integers is a prefix code that maps the positive integers onto binary codewords, with the additional property that whatever the true probability distribution on integers, as long as the distribution is monotonic ( i. e., p ( i ) ≥ p ( i + 1 ) for all positive i ), the expected lengths of the codewords are within a constant factor of the expected lengths that the optimal code for that probability distribution would have assigned.

In fact this result is not optimal ; by considering the unfolded Banach-Mazur game we can show that determinacy of Γ ( for Γ with sufficient closure properties ) implies that every set of reals that is the projection of a set in Γ has the property of Baire.