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Consider finding a shortest path for traveling between two cities by car, as illustrated in Figure 1. Such an example is likely to exhibit optimal substructure. That is, if the shortest route from Seattle to Los Angeles passes through Portland and then Sacramento, then the shortest route from Portland to Los Angeles must pass through Sacramento too.
For functions of a single real variable whose graphs have a bounded number of intersection points, the complexity of the lower or upper envelope can be bounded using Davenport–Schinzel sequences, and these envelopes can be computed efficiently by a divide-and-conquer algorithm that computes and then merges the envelopes of subsets of the ...
Research indicates that suboptimal compromises are often the result of negotiators failing to realize when they have interests that are completely compatible with those of the other party, leading them to settle for suboptimal agreements.
Optimal control problem benchmark (Luus) with an integral objective, inequality, and differential constraint. Optimal control theory is a branch of control theory that deals with finding a control for a dynamical system over a period of time such that an objective function is optimized. [1]
Monetary policy makers suffer from dynamic inconsistency with inflation expectations, as politicians are best off promising lower inflation in the future. But once tomorrow comes lowering inflation may have negative effects, such as increasing unemployment, so they do not make much effort to lower it.
This is a list of Latin words with derivatives in English language.. Ancient orthography did not distinguish between i and j or between u and v. [1] Many modern works distinguish u from v but not i from j.
IDA* is a depth-first search that looks for increasingly longer solutions in a series of iterations, using a lower-bound heuristic to prune branches once a lower bound on their length exceeds the current iterations bound. It works roughly as follows. First he identified a number of subproblems that are small enough to be solved optimally. He used:
Formally, a state is Pareto-optimal if there is no alternative state where at least one participant's well-being is higher, and nobody else's well-being is lower. If there is a state change that satisfies this condition, the new state is called a "Pareto improvement". When no Pareto improvements are possible, the state is a "Pareto optimum".