TY - GEN
T1 - The primal simplex approach to the QoS routing problem
AU - Xiao, Ying
AU - Thulasiraman, Krishnaiyan
AU - Xue, Guoliang
PY - 2004/12/1
Y1 - 2004/12/1
N2 - Quality-of-Service (QoS) routing problem requires the determination of a minimum cost path from a source node s to a destination node t in a data network such that the delay of the path is bounded by Δ (> 0). This problem also known as the constrained shortest path (CSP) problem is NP-hard. So, heuristics and approximation algorithms have been presented in the literature. Among the heuristics, the LARAC algorithm, based on the dual of the LP relaxation or the Lagrangian relaxation of the CSP problem is very efficient. In this paper we study the primal simplex approach to the LP relaxation of the CSP problem and present an approximation algorithm to this problem. Several issues relating to efficient implementations of our approach are discussed. Experimental results comparing the performance of the new algorithm with that of the LARAC algorithm are presented.
AB - Quality-of-Service (QoS) routing problem requires the determination of a minimum cost path from a source node s to a destination node t in a data network such that the delay of the path is bounded by Δ (> 0). This problem also known as the constrained shortest path (CSP) problem is NP-hard. So, heuristics and approximation algorithms have been presented in the literature. Among the heuristics, the LARAC algorithm, based on the dual of the LP relaxation or the Lagrangian relaxation of the CSP problem is very efficient. In this paper we study the primal simplex approach to the LP relaxation of the CSP problem and present an approximation algorithm to this problem. Several issues relating to efficient implementations of our approach are discussed. Experimental results comparing the performance of the new algorithm with that of the LARAC algorithm are presented.
UR - http://www.scopus.com/inward/record.url?scp=19644387147&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=19644387147&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:19644387147
SN - 0769522335
SN - 9780769522333
T3 - Proceedings - First International Conference on Quality of Service in Heterogeneous Wired/Wireless Networks, QShine 2004
SP - 120
EP - 129
BT - Proceedings - First International Conference on Quality of Service in Heterogeneous Wired/Wireless Networks, QShine 2004
A2 - Boukerche, A.
A2 - Cobb, J.
A2 - Chen, S.
A2 - Fang, M.Y.
T2 - Proceedings - First International Conference on Quality of Service in Heterogeneous Wired/Wireless Networks, QShine 2004
Y2 - 18 October 2004 through 20 October 2004
ER -