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On the Hardness of Approximating the Multicast Delay Variation Problem

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2 Author(s)
Pi-Rong Sheu ; Nat. Yunlin Univ. of Sci. & Technol., Touliu ; Shan-Tai Chen

Given a network with one source and multiple destinations, the multicast delay variation problem attempts to construct a multicast tree such that the interdestination delay variation among all the paths from the source to each destination is minimized. In this paper, we show that the problem is NP-hard and that it is not approximable within a constant factor in polynomial time unless NP = P. These findings indicate that it is impossible to develop efficient optimal or approximation algorithms for any multicast routing problem under the interdestination delay variation constraint unless NP = P.

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Computers, IEEE Transactions on  (Volume:56 ,  Issue: 11 )