On the Hardness of Approximating the Multicast Delay Variation Problem

  • Authors:
  • Pi-Rong Sheu;Shan-Tai Chen

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 2007

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Abstract

Given a network with one source and multiple destinations, the multicast delay variation problem attempts to construct a multicast tree such that the inter-destination 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 inter-destination delay variation constraint unless NP = P.