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0N THE COMPLEXITY OF AN OPTIMAL ROUTING TREE PROBLEM

0N THE COMPLEXITY OF AN OPTIMAL ROUTING TREE PROBLEM
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摘要 A routing tree for a set of tasks is a decision tree which assigns the tasks to their destinationsaccording to the features of the tasks. A weighted routing tree is one with costs attached to each linkof the tree. Links of the same feature have the same cost. It is proved that the problem of finding ?routing tree of the minimum cost for a given set of tasks of two features is NP-complete. A routing tree for a set of tasks is a decision tree which assigns the tasks to their destinationsaccording to the features of the tasks. A weighted routing tree is one with costs attached to each linkof the tree. Links of the same feature have the same cost. It is proved that the problem of finding ?routing tree of the minimum cost for a given set of tasks of two features is NP-complete.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1989年第1期68-80,共13页 应用数学学报(英文版)
基金 This research was supported in part by the NSF grants DCB-8501226 and DCR-8696135. Part of this work was done while the first author was at the Mathematical Sciences Research Institute, Berkeley, California, and while the second author was at the Departm
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