Performance evaluation of a flow line systemwith Bernoulli sampling inspections

Workflow analysis of production lines with complete inspection and rework loops

“…Each one of these classes has its own routing matrix. Therefore, the outcome of each inspection or re-inspection and the routing of items in the system depend on each item's history of previous processings, as pointed out in Lee et al (1999). In a flow line with K machines there are a total of 2 K + 1 distinct classes and corresponding…”

“…More in Wittrock (1992) where the rework possibilities are truncated by ignoring "sufficiently improbable" ones. Lee et al (1999) present queueing models for a three-stage system with random inspection at each stage, which take into account all rework combinations of the three operations. For each processing stage, their models calculate the mean flow rates induced by first-pass and rework flows into that stage.…”

“…The statistics of flows due to rework, scrapping and replacement of defective items, as well as their impact on the processing times and inventory were first studied in Seidman and Nof (1985) and Tapiero and Hsu (1987) for single-stage production systems. Since then, the operational analysis of production systems with several machines and rework loops has received considerable attention (see, e.g., Wittrock 1992, Kim et al 1995, Crowley et al 1995, Narahari and Khan 1996, Lee et al 1999, Li 2004, Ioannidis et al 2004, and Pradhan and Damodaran 2008.…”

“…All the models above, with the exception of that in Lee et al (1999), assume simple rework loops which involve a single machine or a chain of sequential operations immediately preceding the inspection station. More in Wittrock (1992) where the rework possibilities are truncated by ignoring "sufficiently improbable" ones.…”