A strongly polynomial simplex method for the linear fractional assignment problem

A strongly polynomial simplex method for the linear fractional assignment problem

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Article ID: iaor20102841
Volume: 36
Issue: 4
Start Page Number: 402
End Page Number: 407
Publication Date: Jul 2008
Journal: Operations Research Letters
Authors: ,
Keywords: simplex algorithm
Abstract:

In this paper we show that the complexity of the simplex method for the linear fractional assignment problem (LFAP) is strongly polynomial. Although LFAP can be solved in polynomial time using various algorithms such as Newton's method or binary search, no polynomial time bound for the simplex method for LFAP is known.

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