A dish washing machine is provided having a dosing device operable to add an additive product into the dishwasher, the dosing device being operatively connected to an arrangement that separately stores the basic chemical products of an all-round additive product independent of one another. The dosing device is operable to independently add into the dishwasher one basic chemical product not used for clear rinsing of the all-round additive product, at least two, but not all, of the basic chemical products of the all-round additive product together, or at least one reaction mixture consisting of the basic chemical products of the all-round additive product.