【正文】
15 min/10 parts Step 1 10 min/10 parts + 20min Step 2 20 min/10 parts Step 1 takes the longest time to finish, so step 1 is the bottleneck of the process. (It determine the capacity of the process: 60/30=2 batch/hr for a batch of 10 parts, that is, 20 parts/hour Operations Management c) Using the current production batch size of 50 parts, how long would it take to produce 20 parts starting with an empty system? Assume that the units in the batch have to stay together (no smaller transfer batches allowed) when transferred to step 2 and to step 3. A unit can leave the system the moment it is pleted at step 3. If the units in the batch have to stay together, by (a) it takes 70+100 + 20 = 200 minutes for 20 parts to leave the system d) Using the current production batch size of 50 parts, how long would it take to produce 20 parts starting with an empty system? Assume that the units in the batch do not have to stay together, specifically, that units are transferred to the next step the moment they are pleted at any step. CAPACITYFLOW TIME FOR A BATCH PROCESS (Cont’d.) Operations Management If the units in the batch do not have to stay together, starting with an empty system, it takes the first unit (20 + 1 + 2 + ) = minutes to leave the system. It takes 2 more minutes to produce the second units, because you can schedule tasks on nonbottleneck steps parallel. As you can see in the following graph, it always takes 2 minutes more to produce one more unit after the first unit. Therefore, it takes altogether + 2x19 = minutes produce 20 units. 20 22 23 25 21 First Unit Second Unit Step 1 Step 3 Step 2 Step 1 Setup Time Time Line minutes CAPACITYFLOW TIME FOR A BATCH PROCESS (Cont’d.) Operations Management PROCESS ANALYSIS WITH BATCHING ? Capacity calculation changes: ? Note: Capacity increases with batch size: Note further: … and so does inventory (and thus flo