Smoothed Analysis of the Successive Shortest Path Algorithm
نویسندگان
چکیده
منابع مشابه
Smoothed analysis of the successive shortest path algorithm
The minimum-cost flow problem is a classic problem in combinatorial optimization with various applications. Several pseudo-polynomial, polynomial, and strongly polynomial algorithms have been developed in the past decades, and it seems that both the problem and the algorithms are well understood. However, some of the algorithms’ running times observed in empirical studies contrast the running t...
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Roads play a vital role to the people live in different places and, from day to day, they travel to schools, to work, to shops, and to transport their goods. Even in this modern world, roads remain one of the mediums used most frequently for travel and transportation. The computation of a shortest path between different locations appears to be a key problem in the road networks. The wide range ...
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The underlying principle of the algorithm may be described as follows: the algorithm starts with the source; it visits the vertices in order of increasing cost, and maintains a set V of visited vertices (denoted by UsedVx in the article) whose cost from the source has been computed, and a tentative cost D(u) to each unvisited vertex u. In the article, the set of all unvisited vertices is denote...
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Computation of shortest paths is an integral component of many applications such as transportation planning and VLSI design. Frequently, a shortest path algorithm is selected for a given application based on the performance of the algorithm for a set of test networks. The performance of this algorithm, however, can be signiicantly diierent for networks not included in the test set. Therefore, i...
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We present a new preprocessing algorithm for embedding the nodes of a given edge-weighted undirected graph into a Euclidean space. In this space, the Euclidean distance between any two nodes approximates the length of the shortest path between them in the given graph. Later, at runtime, a shortest path between any two nodes can be computed using A* search with the Euclidean distances as heurist...
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ژورنال
عنوان ژورنال: SIAM Journal on Computing
سال: 2015
ISSN: 0097-5397,1095-7111
DOI: 10.1137/140989893