Successive shortest paths: Difference between revisions

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(Created page with "== Abstract view == '''Invariant:''' The capacity constraints are fulfilled. '''Variant:''' The '''balance discrepancy''' strictly decreases, that is, the value :<math>\sum_...")
 
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'''Variant:'''
'''Variant:'''
The '''balance discrepancy''' strictly decreases, that is, the value
The '''balance discrepancy''' strictly decreases, that is, the value
:<math>\sum_{v\in V}\left|\sum{w:(v,w)\in A}f(v,w)-\sum_{w:(w,v)\in A}f(w,v)-b(v)\right|</math>.
:<math>\sum_{v\in V}\left|\sum_{w:(v,w)\in A}f(v,w)-\sum_{w:(w,v)\in A}f(w,v)-b(v)\right|</math>.

Revision as of 07:42, 23 October 2014

Abstract view

Invariant: The capacity constraints are fulfilled.

Variant: The balance discrepancy strictly decreases, that is, the value

[math]\displaystyle{ \sum_{v\in V}\left|\sum_{w:(v,w)\in A}f(v,w)-\sum_{w:(w,v)\in A}f(w,v)-b(v)\right| }[/math].