We study a continuous version of the capacity and flow assignment problem (CFA) where the design cost is combined with an average delay measure to yield a non convex objective function coupled with multicommodity flow constraints. A separable convexification of each arc cost function is proposed to obtain approximate feasible solutions within easily computable gaps from optimality. On the other...

Every function of several variables with the continuous second derivative can be convexified (i.e., made convex) by adding to it a quadratic “convexifier”. In this paper we give simple estimates on the bounds of convexifiers. Using the idea of convexification, many problems in applied mathematics can be reduced to convex mathematical programming models. This is illustrated here for nonlinear pr...

Abstract The optimal operation of the integrated electricity and heat systems (IEHS) can bring environmental benefits, reduce operational cost, achieve high penetration levels renewables. This review aims to provide a comprehensive overview IEHS modeling solution methods for operation. With respect operation, is reviewed from five aspects, including representation dynamic characteristics, flexi...

in this paper a comprehensive approach is presented to improve power swings damping based on direct lyapunov method. the approach combines superconducting magnetic energy storage (smes) system with static synchronous compensator (statcom). considering the energy absorption/injection ability of smes, in transient states the combination exchanges both active and reactive powers with power system....

The motivation for a closer investigation of Dieudonné-Rashevsky type problems (P) is two-fold. First, due to its close affinity to the basic problem of multidimensional calculus of variations, the problem (1.3) − (1.5) is well-suited as a model problem in order to ascertain how the proof of optimality conditions is influenced through the weakening of the convexity properties of the data. Since...

ÐIn this paper, a new method for the estimation of the fundamental matrix from point correspondences is presented. The minimization of the algebraic error is performed while taking explicitly into account the rank-two constraint on the fundamental matrix. It is shown how this nonconvex optimization problem can be solved avoiding local minima by using recently developed convexification technique...

The global optimisation of non-convex quadratically constrained quadratic programs is a notoriously difficult problem, being not only NP-hard in the strong sense, but also very difficult in practice. We present a new heuristic approach to this problem, which enables one to obtain solutions of good quality in reasonable computing times. The heuristic consists of four phases: binarisation, convex...

conclusions these results emphasize that an inappropriate decision making process pattern in a family has a significant effect on deviant behavior in adolescents. the fathers’ parenting is more strongly linked to their sons’ delinquency. so, family power structure and parent-child relationship can be considered in therapeutic interventions (prevention and treatment) for adolescents’ delinquency...

this paper presents a novel method to calculate the reference source current and the referencecompensating current for shunt active power filters (sapfs). this method first calculates theamplitude and phase of the fundamental load current from a recursive algebraic approach blockbefore calculating the displacement power factor. next, the amplitude of the reference mains currentis computed with ...