ISSN:
1436-4646
Keywords:
Assignment Problem
;
Dual Method
;
Signature
;
Linear Programming
;
Simplex Method
;
Pivoting
;
Average Behavior
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract “Where there is abundance of mystery and confusion in every direction, the truth seldom remains hidden for long. It's a matter of having plenty of angles to go at it from. Only the utterly simple crimes - the simplex crimes, you may say - have the trick of remaining baffling.” - Sir John (from Michael Innes,The Open House (A Sir John Appleby Mystery), Penguin Books, 1974). A dual simplex method for the assignment problem leaves open to choice the activity (i,j) of rowi and columnj that is to be dropped in pivoting so long asx ij 〈 0. A choice (i,j) over columnsj having at least 3 basic activities that minimizesx ij is shown to converge in at most ( 2 n-1 ) pivots, and at most O(n 3) time, and it is argued that on average the number of pivots is at mostn logn.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01580579
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