A Dual Ascent Procedure for Large Scale Uncapacitated Network Design
Name
OR-161-87.pdf
Size
3.34 MB
Format
Adobe PDF
Checksum (MD5)
288048c78b3c40e6e8f24d572ffd3a81
Author(s)
Balakrishnan, Anantaram
Magnanti, Thomas L.
Wong, Richard T.
Date Issued
May 1987
Publisher
Massachusetts Institute of Technology, Operations Research Center
Series/Report no.
Operations Research Center Working Paper;OR 161-87
Abstract
The fixed-charge network design problem arises in a variety of problem contexts including transportation, communication, and production scheduling.We develop a family of dual ascent algorithms for this problem. This approach generalizes known ascent procedures for solving shortest path, plant location,Steiner network and directed spanning tree problems. Our computational results for several classes of test problems with up to 500 integer and 1.98 million continuous variables and constraints shows that the dual ascent procedure and an associated drop-add heuristic generates solutions that, in almost all cases, are guaranteed to be within 1 to 3 percent of optimality. Moreover, the procedure requires no more than 150 seconds on an IBM 3083 computer. The test problems correspond to dense and sparse networks,including some models arising in freight transport.
MIT Department
Massachusetts Institute of Technology. Operations Research Center
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