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Rectangular maximal assignment with lattice of dual price 1.0
File ID: 79411






Rectangular maximal assignment with lattice of dual price 1.0
Download Rectangular maximal assignment with lattice of dual price 1.0http://www.iqservices.com/cuteverify.htmlReport Error Link
License: Freeware
File Size: 10.0 KB
Downloads: 10
Submit Rating:
Rectangular maximal assignment with lattice of dual price 1.0 Description
Description: 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.

License: Freeware

Related: quotfrom, Survey, assignment, Model, auctionsquot, combinatorial, Complete, giving, Lower, Forms, Corner, upper, Lattice, Update, Markus, called, Algorithm, hungarian, Easily, Found

O/S:BSD, Linux, Solaris, Mac OS X

File Size: 10.0 KB

Downloads: 10



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