How lean can lean buffers be?

This paper provides a quantitative characterization of the smallest, i.e., lean, buffer capacity necessary and sufficient to attain a desired throughput in serial production lines with identical exponential machines. The development is carried out in terms of normalized buffer capacity and production line efficiency. The smallest normalized buffer capacity required to ensure the desired line efficiency is referred to as the Lean Level of Buffering (LLB). Exact formulas for the LLB in two- and three-machine lines are presented and an approximate expression for the LLB in lines with more than three machines is derived. Along with these analytical results, several qualitative insights into the nature of lean buffering in serial production lines are presented.