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Adjacent vertices on transportation polytopes

โœ Scribed by Patrick G. McKeown; David S. Rubin


Publisher
John Wiley and Sons
Year
1975
Tongue
English
Weight
526 KB
Volume
22
Category
Article
ISSN
0894-069X

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๐Ÿ“œ SIMILAR VOLUMES


Determining adjacent vertices on assignm
โœ Patrick G. McKeown ๐Ÿ“‚ Article ๐Ÿ“… 1976 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 353 KB

## Abstract To rank the solutions to the assignment problem using an extreme point method, it is necessary to be able to find all extreme points which are adjacent to a given extreme solution. Recent work has shown a procedure for determining adjacent vertices on transportation polytopes using a mo

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Define the transportation polytope T n,m to be a polytope of non-negative n ร— m matrices with row sums equal to m and column sums equal to n. We present a new recurrence relation for the numbers f k of the k-dimensional faces for the transportation polytope T n,n+1 . This gives an efficient algorith