Different techniques of adsorptive parametric pumping have been theoretically studied with the help of a multicomponent, non-linear model. For calculations, a mixture of three components was considered. The effect of the initial concentration on the performance of parametric pumping was found to be significant. In the high initial concentration range (where the isotherm is non-linear), a combination of batch and continuous parametric pumping was investigated. It is shown that products with constant composition can be obtained. In the low initial concentration range (where the isotherm is linear), it is necessary to use a special type of adsorptive parametric pumping, called temperature swing chromatography, for separating the components. It is shown how the separation builds up from cycle to cycle, and how to influence the purity of the components with the help of the hot regeneration.