Numerical solution of some classes of complementarity and variational problems via dualization
Numerical Solution of the Transonic Equation by the Finite Element Method via Optimal Control
Numerical solutions of the mass transfer problem
Let μ and ν be two probability measures on the real line and let c be a lower semicontinuous function on the plane. The mass transfer problem consists in determining a measure ξ whose marginals coincide with μ and ν, and whose total cost ∫∫ c(x,y)dξ(x,y) is minimum. In this paper we present three algorithms to solve numerically this Monge-Kantorovitch problem when the commodity being shipped is one-dimensional and not necessarily confined to a bounded interval. We illustrate these numerical...
Numerical study of discretizations of multistage stochastic programs
This paper presents a numerical study of a deterministic discretization procedure for multistage stochastic programs where the underlying stochastic process has a continuous probability distribution. The discretization procedure is based on quasi-Monte Carlo techniques originally developed for numerical multivariate integration. The solutions of the discretized problems are evaluated by statistical bounds obtained from random sample average approximations and out-of-sample simulations. In the numerical...
Nuovi metodi per il Pallet Loading Problem
Nuovi metodi per l’ottimizzazione vincolata non lineare