A serial production line has three workstations in the order of WST-A, WST-B, and WST-C. WST-A has 2 parallel machines where each machine has 3 mins of base processing time with a base SCV of 2.5, WST-B has three parallel machines where each machine has 6 mins of base processing time with a base SCV of 1.5, and WST-C has two parallel machines where each machine has 5 mins of base processing time with a base SCV of 0.5. [6 pts]

Assume that the arrivals to the line are at the rate of 20 jobs per hour with an SCV of 1.0.

(a) If machines at WST-A have an MTTF of 5 hrs (SCV of failure is 1.0) and an MTTR of 30 mins (SCV of repair is 1.0), what is the effective mean processing time of WST-A te(A) and its effective SCV ce2(A)? (b) If machines at WST-B have setups every 160 cycles and take 100 mins on the average with an SCV of 0.50, compute the te(B) and ce2(B) of WST-B.

Based on the effective processing times, what is the bottleneck rate rb, the raw processing time To, and the critical WIP Wo of the line?

(d) For WST-A, compute its WIP and CT? Assume conditions under part (a) hold true.

(e) For the whole line, compute the WIP and CT. Assume conditions under parts (a) and (b) hold true.