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Pup Matching: Model Formulations and Solution Approaches

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dc.creator Bossert, John M.
dc.creator Magnanti, Thomas L.
dc.date 2004-05-28T19:22:16Z
dc.date 2004-05-28T19:22:16Z
dc.date 2003-02
dc.date.accessioned 2013-10-09T02:37:31Z
dc.date.available 2013-10-09T02:37:31Z
dc.date.issued 2013-10-09
dc.identifier http://hdl.handle.net/1721.1/5076
dc.identifier.uri http://koha.mediu.edu.my:8181/xmlui/handle/1721
dc.description We model Pup Matching, the logistics problem of matching or pairing semitrailers known as pups to cabs that are able to tow one or two of the pups simultaneously, as an AfP-complete version of the Network Loading Problem (NLP). We examine a branch and bound solution approach tailored to the NLP formulation through the use of three families of cutting planes and four heuristic procedures. Theoretically, we specify facet defining conditions for a cut family that we refer to as odd flow inequalities and show that each heuristic yields a 2-approximation. Computationally, the cheapest of the four heuristic values achieved an average error of 1.3% among solved test problems randomly generated from realistic data. Branch and bound solved to optimality 67% of these problems. Application of the cutting plane families reduced the average relative difference between upper and lower bounds prior to branching from 18.8% to 6.4%.
dc.format 1777625 bytes
dc.format application/pdf
dc.language en_US
dc.publisher Massachusetts Institute of Technology, Operations Research Center
dc.relation Operations Research Center Working Paper;OR 366-03
dc.title Pup Matching: Model Formulations and Solution Approaches
dc.type Working Paper


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