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Heuristic methods for delay constrained least cost routing using κ-shortest-paths
Zhanfeng Jia   Varaiya, P.  
Electr. Eng. & Comput. Sci. Dept., Univ. of California, Berkeley, CA, USA;

This paper appears in: Automatic Control, IEEE Transactions on
Publication Date: April 2006
Volume: 51,  Issue: 4
On page(s): 707- 712
ISSN: 0018-9286
INSPEC Accession Number: 8934986
Digital Object Identifier: 10.1109/TAC.2006.872827
Current Version Published: 2006-04-10

Abstract
The delay constrained least cost (DCLC) problem is to find the least cost path in a graph subject to a delay constraint. First formulated in the context of routing in computer networks, the DCLC model also applies to problems of path planning and other decision problems. DCLC is NP-complete. Many heuristic methods have been proposed for it. This note presents two new methods based on the κ-shortest-path (κSP) approach. These heuristic methods-one centralized, the other distributed-are both polynomial. In numerical experiments the proposed algorithms almost always find the optimal paths.

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