Heuristic Methods for Delay Constrained Least Cost Routing Using$k$-Shortest-Paths

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 isNP-complete. Many heu...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 51; no. 4; pp. 707 - 712
Main Authors Jia, Z., Varaiya, P.
Format Journal Article
LanguageEnglish
Published New York, NY Institute of Electrical and Electronics Engineers 01.04.2006
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ISSN0018-9286
DOI10.1109/TAC.2006.872827

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Summary: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 isNP-complete. Many heuristic methods have been proposed for it. This note presents two new methods based on thek-shortest-path(k SP)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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ISSN:0018-9286
DOI:10.1109/TAC.2006.872827