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Reports (Research Report) Year : 1994

Revisiting subgradient techniques applied to 3d linear assignment problem

Alexandre Tusera
  • Function : Author
Dominique Fortin
  • Function : Author

Abstract

A subgradient technique which relies on a local approximation of AP3 polytope is proposed. On the one hand, it improves over standard subgradient enhanced with a whole class of facets, since it requires far less facets; furthermore, the selected facets are more accurate with respect to the gap between a relaxed solution and a feasible one. On the other hand, it compares favorably to Bundle-Trust method which is based on a subgradient approximation. Apart from this method, a Monge sequence is devised on a substructure local to relaxed/feasible gap, that affords us to recover from zig-zagging in some pathological cases.
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Dates and versions

inria-00074405 , version 1 (24-05-2006)

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  • HAL Id : inria-00074405 , version 1

Cite

Alexandre Tusera, Dominique Fortin. Revisiting subgradient techniques applied to 3d linear assignment problem. [Research Report] RR-2266, INRIA. 1994. ⟨inria-00074405⟩
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