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Details of Grant 

EPSRC Reference: GR/R37333/01
Title: Unresolved variants of the Assignment Problem
Principal Investigator: Butkovic, Professor P
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: School of Mathematics
Organisation: University of Birmingham
Scheme: Standard Research (Pre-FEC)
Starts: 19 November 2001 Ends: 18 November 2002 Value (£): 5,531
EPSRC Research Topic Classifications:
Logic & Combinatorics Mathematical Aspects of OR
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors Construction
Transport Systems and Vehicles
Related Grants:
Panel History:  
Summary on Grant Application Form
The analysis will use combinatorial tools, properties of permutations, graphs, matchings, duality theory and algorithms for generating permutations in ranking order to concentrate on the following:(i) Solving the unresolved variants of the assignment problem for special matrices, and in particular, for special Hankel matrices. This will include investigation of the maximum cardinality matching the problem for bipartite graphs corresponding to bivalent Hankel matrices and the assignment problem for such matrices.(ii) Finding and proving criteria for matrices which guarantee that the optimal solution which can be found efficiently.(iii) Investigation of properties of the optimal solution set of the assignment problem, with application to the parity assignment problem and to the best principal submatrix assignment problem.
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Summary
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Organisation Website: http://www.bham.ac.uk