On the uniqueness of solutions to linear programs

On the uniqueness of solutions to linear programs

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Article ID: iaor20032063
Country: United Kingdom
Volume: 53
Issue: 10
Start Page Number: 1127
End Page Number: 1132
Publication Date: Oct 2002
Journal: Journal of the Operational Research Society
Authors:
Abstract:

We provide a constructive method of checking whether a linear programming problem (LPP) has a unique feasible or a unique optimal solution. Our method requires the solution of only one extra LPP such that the original problem has alternative solutions if and only if the optimal value of the new LPP is positive. If the original solution is not unique, an alternative solution is displayed. Possible applications are discussed.

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