An achievement rate approach to linear programming problems with an interval objective function

An achievement rate approach to linear programming problems with an interval objective function

0.00 Avg rating0 Votes
Article ID: iaor19972533
Country: United Kingdom
Volume: 48
Issue: 1
Start Page Number: 25
End Page Number: 33
Publication Date: Jan 1997
Journal: Journal of the Operational Research Society
Authors:
Keywords: fuzzy sets, programming: fractional
Abstract:

In this paper, the authors focus on a treatment of a linear programming problem with an interval objective function. From the viewpoint of the achievement rate, a new solution concept, the maximin achievement rate solution, is proposed. Nice properties of this solution are shown: a maximin achievement rate solution is necessarily optimal when a necessarily optimal solution exists, and if not, then it is still a possibly optimal solution. An algorithm for a maximin achievement rate solution is proposed based on a relaxation procedure together with a simplex method. A numerical example is given to demonstrate the proposed solution algorithm.

Reviews

Required fields are marked *. Your email address will not be published.