In this paper a multilevel programming problem, that is, three level programming problem is considered. It involves three optimization problems where the constraint region of the first level problem is implicitly determined by two other optimization problems. The objective function of the first level is indefinite quadratic, the second one is linear and the third one is linear fractional. The f...

We use potentials for calculate a reduced costs in the increment of the objective function for the linear-fractional non-homogeneous flow programming optimization problem with additional constraints of general kind. The effective algorithm for solution of the system of potentials for a sparse matrix is considered. AMS Subject Classification: 65K05, 90C08, 90C35, 05C50, 15A03, 15A06

The firefly algorithm (FA), which is usually used in optimization problems, is a stochastic, population-based algorithm inspired by the intelligent, collective behavior of fireflies in nature. In the standard FA, each firefly in each neighborhood is compared with other fireflies, and the less-bright firefly moves toward the brighter one (in the maximization optimization). In fact, in the standa...

1639 Venkateswara and Kumar Firefly Algorithm based Optimal Power Flow with Static VAR Compensator for Improvement of Power System Security under Network Contingency  Abstract— At present owing to the increase in power demand power system have become more complex and heavily loaded, and are subjected to unstable or insecure operations. In order to provide a secure operation of the power system...