Approximation and heuristic algorithms for delay constrained path selection under inaccurate state information

Ying Xiao, Krishnaiyan Thulasiraman, Guoliang Xue

Research output: Chapter in Book/Report/Conference proceedingConference contribution

8 Citations (Scopus)

Abstract

Given a communication network modeled as a directed graph with a delay parameter associated with each link, we consider the problem of determining the most probable delay constrained path from a source node to a destination node. Assuming that the link delays are random variables with continuous and differentiable probability density function and using the central limit theorem this problem can be formulated as a path problem which involves simultaneously optimizing two additive path parameters. Two cases arise. When there is one path with mean delay less than the delay bound, we present an exact pseudo polynomial algorithm, a fully polynomial time ε-approximation algorithm and a strongly polynomial heuristic algorithm. In the unlikely case when this assumption is violated, the problem is shown to be NP-hard and no constant factor approximation algorithm exists if P ≠ NP. We also study the path protection problem under inaccurate state information.

Original languageEnglish (US)
Title of host publicationProceedings - First International Conference on Quality of Service in Heterogeneous Wired/Wireless Networks, QShine 2004
EditorsA. Boukerche, J. Cobb, S. Chen, M.Y. Fang
Pages130-137
Number of pages8
StatePublished - 2004
EventProceedings - First International Conference on Quality of Service in Heterogeneous Wired/Wireless Networks, QShine 2004 - Dallas, TX, United States
Duration: Oct 18 2004Oct 20 2004

Other

OtherProceedings - First International Conference on Quality of Service in Heterogeneous Wired/Wireless Networks, QShine 2004
CountryUnited States
CityDallas, TX
Period10/18/0410/20/04

Fingerprint

Approximation algorithms
Heuristic algorithms
Polynomials
Directed graphs
Random variables
Probability density function
Telecommunication networks

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Xiao, Y., Thulasiraman, K., & Xue, G. (2004). Approximation and heuristic algorithms for delay constrained path selection under inaccurate state information. In A. Boukerche, J. Cobb, S. Chen, & M. Y. Fang (Eds.), Proceedings - First International Conference on Quality of Service in Heterogeneous Wired/Wireless Networks, QShine 2004 (pp. 130-137)

Approximation and heuristic algorithms for delay constrained path selection under inaccurate state information. / Xiao, Ying; Thulasiraman, Krishnaiyan; Xue, Guoliang.

Proceedings - First International Conference on Quality of Service in Heterogeneous Wired/Wireless Networks, QShine 2004. ed. / A. Boukerche; J. Cobb; S. Chen; M.Y. Fang. 2004. p. 130-137.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Xiao, Y, Thulasiraman, K & Xue, G 2004, Approximation and heuristic algorithms for delay constrained path selection under inaccurate state information. in A Boukerche, J Cobb, S Chen & MY Fang (eds), Proceedings - First International Conference on Quality of Service in Heterogeneous Wired/Wireless Networks, QShine 2004. pp. 130-137, Proceedings - First International Conference on Quality of Service in Heterogeneous Wired/Wireless Networks, QShine 2004, Dallas, TX, United States, 10/18/04.
Xiao Y, Thulasiraman K, Xue G. Approximation and heuristic algorithms for delay constrained path selection under inaccurate state information. In Boukerche A, Cobb J, Chen S, Fang MY, editors, Proceedings - First International Conference on Quality of Service in Heterogeneous Wired/Wireless Networks, QShine 2004. 2004. p. 130-137
Xiao, Ying ; Thulasiraman, Krishnaiyan ; Xue, Guoliang. / Approximation and heuristic algorithms for delay constrained path selection under inaccurate state information. Proceedings - First International Conference on Quality of Service in Heterogeneous Wired/Wireless Networks, QShine 2004. editor / A. Boukerche ; J. Cobb ; S. Chen ; M.Y. Fang. 2004. pp. 130-137
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