42 research outputs found
On a network equilibrium problem with mixed demand
© Springer International Publishing Switzerland 2016.In the present paper, we formulate the network equilibrium problem with mixed demand containing the fixed and variable components. We present the equilibrium conditions and the conditions for existence of solution of this problem. In addition, we show that the network equilibrium problem with mixed demand generalizes the network equilibrium problems with fixed demand and elastic demand and establish the connection with the auction equilibrium problem. Preliminary computational experiments are also presented
Singular Value Homogenization: a simple preconditioning technique for linearly constrained optimization and its potential applications in medical therapy
Well-posedness for parametric generalized vector quasivariational inequality problems of the Minty type
Partial linearization method for network equilibrium problems with elastic demands
© Springer International Publishing Switzerland 2016.We suggest a partial linearization method for network equilibrium problems with elastic demands, which can be set-valued in general. The main element of this method is a partially linearized auxiliary problem. We propose a simple solution method for the auxiliary problem, which is based on optimality conditions. This method can be viewed as alternative to the conditional gradient method for the single-valued case. Some results of preliminary calculations which confirm efficiency of the new method are also presented