2) We have a parallel batch machine that processes batches of fixed size k. Lots arrive with mean interarrival time ta= 4.0 hours and squared coefficient of variation cal = 1.0. For this machine we have to =3.0 hours and co2 = 0.50 for processing a single lot. Assume that the batch processing time is kto and CV of batch processing time is on 2-1) Express the mean CT for this batch machine in batch size k. 2-2) For what value of k is the CT minimal? (Do not forget to assure a stable system.) CT = T-tstktp ktats+ktatp _tp_tsk (ta-tp)-ts a ta kta CT is a convex function on k CT kmin k* 2) We have a parallel batch machine that processes batches of fixed size k. Lots arrive with mean interarrival time ta= 4.0 hours and squared coefficient of variation cal = 1.0. For this machine we have to =3.0 hours and co2 = 0.50 for processing a single lot. Assume that the batch processing time is kto and CV of batch processing time is on 2-1) Express the mean CT for this batch machine in batch size k. 2-2) For what value of k is the CT minimal? (Do not forget to assure a stable system.) CT = T-tstktp ktats+ktatp _tp_tsk (ta-tp)-ts a ta kta CT is a convex function on k CT kmin k*