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Rectangular maximal assignment with lattice of dual price 1.0

  Date Added: March 24, 2013  |  Visits: 251

Rectangular maximal assignment with lattice of dual price

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auction_match: Compute optimal (maximal) weighted assignment and the corresponding "lattice of dual prices" supporting the optimal assignment. auction_match(disMatrix) computes the optimal assignment for the given rectangular value matrix, for example the assignment of bidders (in rows) to objects (in columns) and vice versa. [assignment,r,p,u,v,value] = ASSIGNMENTOPTIMAL(DISTMATRIX) returns the assignment vector (in assignment) and the overall value (in value) and v: surplus of columns if columns were bidding for rows. u: the corresponding prices of rows. p: prices for columns if rows were bidding for columns r: the corresponding surplus of rows. Note that (p,-r) forms the lower corner and (v,-u) forms the upper corner in the lattice of optimal dual vector supporting the optimal assignment thus giving the complete lattice. Ref. the survey "From the Assignment Model to Combinatorial Auctions" This is update of the assignment code by Markus Buehren which used Munkres Algorithm for MINIMAL weighted matching. A description of Munkres algorithm (also called Hungarian algorithm) can easily be found on the web.

Requirements: No special requirements
Platforms: Matlab
Keyword: Algorithm Assignment Auctionsquot Called Combinatorial Complete Corner Easily Forms Found Giving Hungarian Lattice Lower Markus Model Quotfrom Survey Update Upper
Users rating: 0/10

License: Freeware Size: 10 KB
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