optimal path problem

optimal path problem
задача о выборе оптимального пути

Англо-русский словарь по экономике и финансам. — М.: Экономическая школа. . 1993.

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  • Shortest path problem — A graph with 6 vertices and 7 edges In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized. An example is… …   Wikipedia

  • Longest path problem — In graph theory, the longest path problem is a problem of finding the longest path in a graph. Unlike the shortest path problem, this problem is NP complete which means that the optimal solution cannot be found in polynomial time unless P=NP.The… …   Wikipedia

  • Optimal control — theory, an extension of the calculus of variations, is a mathematical optimization method for deriving control policies. The method is largely due to the work of Lev Pontryagin and his collaborators in the Soviet Union[1] and Richard Bellman in… …   Wikipedia

  • Path cover — Given a directed graph G = (V, E), a path cover is a set of directed paths such that every vertex v ∈ V belongs to at least one path. Note that a path cover may include paths of length 0 (a single vertex).[1] A path cover …   Wikipedia

  • Optimal substructure — Figure 1. Finding the shortest path using optimal substructure. Numbers represent the length of the path; straight lines indicate single edges, wavy lines indicate shortest paths, i.e., there might be other vertices that are not shown here. In… …   Wikipedia

  • Travelling salesman problem — The travelling salesman problem (TSP) is an NP hard problem in combinatorial optimization studied in operations research and theoretical computer science. Given a list of cities and their pairwise distances, the task is to find a shortest… …   Wikipedia

  • Canadian traveller problem — In computer science and graph theory, the Canadian traveller problem is a generalization of the shortest path problem to graphs where the cost of traversing an edge isn t completely known until reaching it. The problem was introduced by… …   Wikipedia

  • Optimization problem — In mathematics and computer science, an optimization problem is the problem of finding the best solution from all feasible solutions. Optimization problems can be divided into two categories depending on whether the variables are continuous or… …   Wikipedia

  • Clique problem — The brute force algorithm finds a 4 clique in this 7 vertex graph (the complement of the 7 vertex path graph) by systematically checking all C(7,4)=35 4 vertex subgraphs for completeness. In computer science, the clique problem refers to any of… …   Wikipedia

  • Maximum flow problem — An example of a flow network with a maximum flow. The source is s, and the sink t. The numbers denote flow and capacity. In optimization theory, the maximum flow problem is to find a feasible flow through a single source, single sink flow network …   Wikipedia

  • Induced path — An induced path of length four in a cube. Finding the longest induced path in a hypercube is known as the snake in the box problem. In the mathematical area of graph theory, an induced path in an undirected graph G is a path that is an induced… …   Wikipedia


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