NOVELTY - An amount of product(s) (36, 38, 41, 42) produced by an air separation unit (X) is increased by integrating a single column cryogenic distillation unit (Y) such that the production of the air separation unit is boosted to A+B moles/h.    USE - For increasing the capacity for a separation apparatus.    ADVANTAGE - By using an additional plant, the cost of the second phase is minimized and the amount of the first product is increased.    DETAILED DESCRIPTION - A process for increasing the amount of product(s) produced by the air separation unit (X) comprises integrating the single column cryogenic distillation unit. The product has a different composition, and optionally a different state and/or a different pressure, from the fluid mixture(s). The air separation unit alone, before a single column cryogenic distillation unit is integrated to it, produces an A moles/h of a first product and the amount of the first product withdrawn from the air separation unit and optionally from the distillation unit is increased to C moles/h. C is greater than A, and comprises fluid steam(s) withdrawn from the air separation unit and optionally from the distillation unit. The integration comprises sending energy and/or fluid stream(s) from the air separation unit to the distillation unit and/or from the distillation unit to the air separation unit. The distillation unit treats fluid mixture(s) by process(es) such that the air separation unit produces an amount of first product A+B moles/h. The process(es) is/are pressurization, mixing, expansion, distillation, liquefaction, adsorption, and/or permeation.    An INDEPENDENT CLAIM is also included for an air separation apparatus having an air separation unit comprising a high and/or a low pressure column (25, 27) and possibly an intermediate pressure column and/or mixing column, which are thermally linked; means for producing a stream containing more than 20 mol % oxygen from a single column cryogenic distillation unit; means for sending part(s) of the stream to the high and/or low pressure column and/or intermediate pressure column and/or mixing column; means for sending cooled and purified air to the high pressure and/or to the distillation unit; and means for removing an oxygen enriched product from the unit(s) of the apparatus.    DESCRIPTION OF DRAWING(S) - The figure shows the first unit integrated with the second unit.    Air separation unit (X)    Single column cryogenic distillation unit (Y)    High pressure column (25)    Low pressure column (27)    Products (36, 38, 41, 42)