Methods of producing a glass sheet each comprise the step of creating a vacuum to force the entire lateral portion of the glass ribbon to engage an anvil portion of a breaking device in the elastic zone. The vacuum is provided by a plurality of pressure zones that are operated independent from one another, wherein each pressure zone is provided with a set of suction cups. In further examples, glass ribbon breaking devices each include a plurality of pressure zones that are configured to be operated independent from one another with each pressure zone being provided with set of suction cups.