Speaker 1:	This is the second problem I solve regarding capacity when 100% of flow does not pass through all resource pools, through all stations. Let's think about a department of motor vehicle when individuals go there to renew their driver license. Twenty-two customers come in per hour. That is 100% of arrivals. 30% of them, the department is concerned with their eye health, and therefore they need to go into an I test, and 20% of them the department is concerned whether they still know all the driving rules, they go to a written test. Out of those people who go to eye test, 80% pass the test, and therefore, 20% go out. 20% of what? 20% of 30%, which is 6%. 6% go. Here we have 20%, 80% of 30%, which is 24%. They also come in. Therefore, here together, we have 44%. Out of that 44%, 90% pass and 10%, therefore, fail. 10% of 44% is 4.4% and the rest, which is 39.6% go there. 39.6 come here and 50% also come here, the total enter the final process is 89.6 and 6% from here and 4.4% from here, leave the sis. Here, out of what comes in, 80% goes to the next process and 20% leaves out of what comes into the written test from here and from here, from eye test and from reception, 90% goes to issue license and 10% leaves the system. They cannot go through the final stage of the process. I think this is clear. These green numbers are capacities. If I ask you, where is the bottleneck? If you don't think you may say, Okay, the capacity of this one is the lowest, therefore, that is the bottleneck. That conclusion was correct if all flow units would have passed all resource pools. But it is not the case here because some drivers go to eye tests and fail and leave. Some drivers go to written tests and fail, and leave. Therefore, not 100% of all flow units pass all processes. We will see where is the bottleneck. Now, let's summarize 20% of 30% is 6%, 80% of 30% is 24%. 24% and 20% is 44%, 10% of 44% is 4.4%, and the rest is 39.6%. We also have 50%. No, we can multiply each of these percentages by what comes in to compute the throughput of each process. That is computations that I just did. This is what if we multiply each percentage by the actual throughput. 50% of 22 is 11. 20% of 22 is 4.4. 40% of 22 is 6.6. This is the throughput to all stations or all resource pools in the system. Let's look at the first process. Twenty-two customers come in, 22 go out, and the capacity of the process is 44. If we compute with utization, that is 22/44. Therefore, the first process is 50% occupied. Go to the eye test. The capacity of eye test is 10, and throughput is 6.6. Therefore, I can apply the same there and I can compute utilization. Therefore, utilization here is 66%. The next place is written test. Capacity is 12. What passes that process is 9.68, and therefore utilization is 0.8 something. For the final process out of 22, only 19.712 pass that process and the capacity of that process is 42. Therefore utilization is 0.46. At the beginning, when we looked at these four processes, we thought the process with the lowest capacity is the bottleneck. But now we need to look at utilization. Which station has the highest utilization? The highest utilization is here. Therefore, this is the bottleneck, and the capacity of this system is throughput of the system divided by utilization of the bottleneck. 22.867 is equal to throughput divided by utilization of the bottleneck, and the capacity is 27.27per hour. Based on utilizations, capacity of the first cessation is 44 customers. Capacity of eye test is 33 customers per hour. Capacity of written test is 27per hour. Capacity of the last cessation is 46 per hour. Out of these numbers, the bottom is here. These are the nominal capacities, but because not 100% of the flow passes through all processes, these are the actual capacities. The first one because 100% of flow go there, the capacity remains 44, but the second one because only 30% of flow goes over there. In terms of the number of customers that they can come in, it is 33.3. In the written test, only 44% of customers go there. Therefore, when the capacity is nominally 12, and that's 12, if 12 come over there per hour. Not all those 12 come in; only 44% of 22 come in. Therefore. Capacity of this station in terms of the number of incoming clients is 27, and this is the capacity of the last station. Again, here is the bottleneck. Thank you very much for attending this session.