Buffer capacity for accommodating machine downtime in serial production lines.

This paper investigates the smallest level of buffering (LB), necessary to ensure the desired production rate in serial lines with unreliable machines. The reliability of machines is assumed to obey either exponential, or Erlang, or Rayleigh models. The LB is measured in units of the average downtime, T[sub down]. The dependence of LB on the reliability model, the number of machines, M, the average uptime, T [sub up], and the efficiency, e = T[sub up]/(T[sub up] + T[sub down]) is analysed. It is shown that reliability models with larger coefficient of variation require larger LB, and an empirical law that connects LB of the exponential model with those for other reliability models is established. It is shown that LB is an increasing function of M, but with an exponentially decreasing rate, saturating at around M = 10. Also, it is shown that LB does not depend explicitly on T[sub up] and is a decreasing function of e . Based on these results, rules-of-thumb are provided for selecting buffer capacity, which guarantee sufficiently high line efficiency. [ABSTRACT FROM AUTHOR]