This paper employs the principles and ideas of Lean Production as the basis for its research, along with the tools and methods of Streamline Production and Leveling Production. It applies D2MAIC to improve logic and create a Lean Flow Production Model. This Model is provided primarily for traditional discontinuous Batch-and-Queue industries and focuses on improvements to the logic behind current practices; there is also an emphasis on tools and methods to facilitate greater ease and efficiency in the improvement of the overall process. The paper employs case studies to verify the benefits of each phase of the model; results showed material handling distance was improved by 52%, machine down time showed an improvement of 47.65% and the quantity of items requiring re-processing was improved (reduced) by 42.86%. Such evidence proves the feasibility and efficacy of the suggested Lean Flow Production Model.