Interior-point methods and their applications to power systems: A classification of publications and software codes

Since Karmarkar's first successful interior-point algorithm for linear programming in 1984, the interest and consequently the number of publications in the area have increased tremendously, leaving the newcomers to the field trapped in a jungle of papers and reports. In this paper we review and classify major publications on interior-point methods theory, on the practical implementation of the most successful interior-point algorithms, and on their applications to power systems optimization problems. A listing of state-of-the-art interior-point software codes and major online research resources in the Internet are included.