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A correction to the connectedness of the Evans-Steuer algorithm of multiple objective linear programming

Schechter M., Steuer R. E.

Foundations of Computing and Decision Sciences

2005

Vol. 30, No. 4

351-359

The Evans-Steuer algorithm (and its ADBASE computerized implementation) for finding all efficient extreme points of a multiple objective linear program (MOLP) is based on efficient pivots. The justification of the algorithm rests on the assumption that the set of efficient basic index sets is connected with respect of efficient pivots. This assumption is incorrect. Nevertheless, the algorithm is valid and is, in fact, more efficient than originally believed.