A milking system includes teat cups connected to a respective milk evacuation tube; a vacuum pump; a milk tank; vacuum adjustment arrangements, configured to adjust an inlet vacuum pressure level, provided to the respectively associated teat cup; vacuum pressure sensors each configured to measure vacuum pressure under each teat; a processing device configured to: set an inlet vacuum pressure level; obtain measurements of a resulting vacuum pressure level of the associated teat cup; compare it with a desired milking vacuum pressure level; calculate an adjusted inlet vacuum pressure level to achieve the desired milking vacuum pressure level; and cause adjustment according to the respectively calculated adjustment, independently of an animal identity.