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《Journal of Systems Engineering》 2008-01
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Optimal connection problem of single source multiple sinks on directed networks

LIN Hao PI Jun-de (College of Sciences,Henan University of Technology,Zhengzhou 450052,China)  
This paper studies an optimal connection problem on a directed network that several verti- ces(sinks)are required to be connected from a given vertex(source)such that the total length of the linking arcs is minimized.This problem can be regarded as a generalization of the shortest path problem in digraphs.The method used in this paper is based on the algorithmic analysis of combina- torial optimization,including the NP-hardness and polynomial solvable cases.For the latter aspect, some reduction rules play an important role.The main results of this paper are to establish effective algorithms for some special digraphs,such as series-parallel digraphs.Also,a heurist algorithm for general graphs is presented.The present work is to provide a basic approach for dealing with such an intractable problem.More structural properties and typical algorithms are worthy of further study.
【Fund】: 国家自然科学基金(10671183);; 河南工业大学校科研基金(07XTC037)
【CateGory Index】: N945
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