Solution-Chapter3(1).pdf - Workflow Structures 3.2 Five...

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Workflow Structures 3.2 Five parts (A, B, C, D, and E) are processed through a sequence of five operations (1, 2, 3, 4, and 5). Not all parts are processed in all operations. Part A, which has daily quantities of 50 units, is processed through operations 1, 3, 5, and 1 in that order. Part B, which has daily quantities of 70 units, is processed through operations 2, 4, and 5 in that order. Part C, which has daily quantities of 25 units, is processed through operations 3, 2, and 4 in that order. Part D, which has daily quantities of 10 units, is processed through operations 1, 2, 4, and 5 in that order. Finally, part E, which has daily quantities of 15 units, is processed through operations 3, 1, and 2 in that order. (a) Draw the network diagram and (b) prepare the From-To table for this work system. Solution : (a) Network diagram Bottleneck Operations 3.3 A factory produces cardboard boxes. The production sequence consists of three operations: (1) cutting, (2) indenting, and (3) printing. There are three automated machines in the factory, one for each operation. The machines are 100% reliable and the scrap rate in each operation is zero. In the cutting operation, large rolls of cardboard are fed into the cutting machine, which cuts the cardboard into blanks. Each large roll contains enough material for 4000 blanks. Production time = 0.03 min/blank during a production run, but it takes 25 min to change rolls and cutting dies between runs. In the indenting operation, indentation lines are pressed into the printed blanks that allow the blanks to later be bent into boxes. Indenting is performed at an average time of 2.5 sec. per blank. Batches from the previous
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cutting operation are subdivided into two smaller batches with different indenting lines, so that starting batch size in indenting = 2000 blanks. Time to change dies between batches on the indenting machine = 30 min. In printing, the blanks are printed with labels for a particular customer. Starting batch size in printing = 2000 blanks (these are the same batches as in indenting). Production rate = 30 blanks/min. Between batches, changeover of the printing plates is required, which takes 40 min. What is the maximum possible output of this factory during a 40- hour week, in printed and indented blanks/week. Assumptions: (i) steady state
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