S01 Project Scheduling With CPM | ProjectED M. | Skillshare

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S01 Project Scheduling With CPM

teacher avatar ProjectED M., Making complex simple.

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Taught by industry leaders & working professionals
Topics include illustration, design, photography, and more

Watch this class and thousands more

Get unlimited access to every class
Taught by industry leaders & working professionals
Topics include illustration, design, photography, and more

Lessons in This Class

11 Lessons (49m)

    • 2. LESSON 1 What Are Activities?

    • 3. LESSON 2 Determining Duration Of Activities

    • 4. LESSON 3 Sequencing The Activities

    • 5. LESSON 4 Using Lags and Leads

    • 6. LESSON 5 Critical Path Method (CPM)

    • 7. LESSON 6 Total Float and Free Float

    • 8. LESSON 7 CPM Lags and Leads

    • 9. LESSON 8 CPM SS FF

    • 10. EXERCISE CPM FULL Exercise


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About This Class

Learn how to create a project schedule using Critical Path Method (CPM). At the end of this course, you will have a methodical approach to create realistic schedules that can be easily adjusted to compensate for delays. Be sure to print out the practice files and follow along in all exercises.

Course Outline

  • What Are Activities?
  • Estimating Activity Durations
  • Sequencing Activities Using Precedence Diagramming Method (PDM)
  • Developing Schedules By Critical Path Method (CPM)

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ProjectED M.

Making complex simple.


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1. INTRODUCTION: managing a project schedule is a delicate process. The slightest thing that goes wrong can result in tremendous delay. At best, this could just be annoying. But worst case it can cause serious problems like extra costs, so even project failure altogether. Your reputation could even take a hit if it happens often enough, product schedules are very fragile and that their sense of the environment around them, some factors that impact the scheduler lack of resource is direct and indirect weather issues, technical problems, inefficient processes and poor transfer of information. So the goal discourse is to reinforce the fundamental concepts of schedule development, also to create realistic schedules that can easily be adjusted to change. This course will cover the basic concept of what work units are determining that durations with greater accuracy. Identifying how the activities into relates an effective job using artificial delays and overlaps. Dag dramatically represent a workflow on calculating your schedule quite a lot to get into , so let's get to it 2. LESSON 1 What Are Activities?: schedules are a construct of various units of work that are sufficiently small where they offer the right amount of results for the management effort required to perform them. There's officially small, where they allow easy estimation, time and costs and can be thoroughly listener with the help of experts. These work units or call activities on this sit in a very specific hierarchy in relation to other levels of project work. The highest level you would find the scope of the project. This is typically what the product is trying to deliver. The next layer down, you have deliverables. Those are the major components of the final solution. Those deliverables are then made up of wood packages, which are simply clusters of work that it takes to make the deliverables happen when work packages are broken down into activities and is these activities that are strong in a sequence which will be the backbone of a schedule. So here's an example of how it all sits. Let's say that the scope of our project is to build a house, the major components or the liberals involving Bill in the house would be things like plumbing the electrical lines, the landscaping, roofing, etcetera. Now, if we break the plumbing down into work packages, we have the design, the pump on the water lines. Now, to make the pump a reality, we'll break it out into work units or activities which will be necessary to deliver that pump. These activities might be procure, pump in store, pump and certify palm Notice that these activities are always written in a verb noun format on their sufficiently small, where they could either be done or managed by one person. So now we know what activities are. The next lesson will cover various methods we can use to figure out the duration of those activities. 3. LESSON 2 Determining Duration Of Activities: duration of so many is somewhat difficult in the sense that the final duration of any activity is determined by the events that will transpire between now and then. There's simply no way to weaken humanly predict all those events. So whatever duration, as might be ascertained, will always be a ballpark estimate. A few reasons why duration as making it so difficult is because we do not have sufficient data to make a realistic estimate. Also, we may not have the expertise no, have anyone with the expertise that are necessary. Additionally, we may not have a clear perspective on what's going on. So when it comes to determining the duration of activities, you just can't go wrong with expert judgment. These experts are not only aware of the time it takes to do the work, but they also wear certain pitfalls that could cause will to become delayed as well a short cuts and tricks that can actually expedite work. While the opinion of experts is always your go to place for these estimates, you can also use the program evaluation and review technique or pert formula. Pert says that the duration D of any activity is your optimistic guests. Plus your pest, Mr Guests, plus four times where it most likely would be all that over six. You're optimistic guests, is how long it will take if everything goes right, your pessimistic guesses how long it'll take. Everything goes wrong on most likely is based on either expert judgment or a calculated mode all over six. Best we help with an example. Let's say that there's a particular task that we have to perform maybe digging a trench or something like that. Our experts believe that optimistically, or the best time in which we've ever done it was three days, the worst time, which we've ever done A trench of that type is 11 days, but they believe that most likely based on weather conditions based on the work force that we have, they believe that we could pull it off, most likely in seven days. So what will be the duration estimate? Again, the duration estimate will be optimistic, plus pessimistic, plus four times where it most likely would be all over sex. That Means is going to be three plus 11 plus four times seven all over six, which is three plus 11 plus 28 all over six adds 2030 39 42/6, which is seven coincidentally, comes out the seven days. This is really just a weighted average saw duration estimate will be seventies. So we've seen that there are two ways by which we can estimate Moderations most, preferably falling on the advice of experts. And if not or in collaboration with expert judgment, we can use the puts calculation. So now that we've done the duration estimating, we could now put the activities in a sequence, and that's gonna be in sequence of the activities in the very next lesson. 4. LESSON 3 Sequencing The Activities: when one activity flows into another than their interaction and determined by a relationship. This interaction was served to determine the dates on which activities will end and start, and there are four relationships that tend to exist between any two activities. Ah, finishes stop a start to start finish to finish and start to finish. First, there's the finishes. Start here. We have two activities. Activity A on activity, be activity A is five days long and activity B is three days long. There is a finish to start relationship between them. Incidentally, if you see nothing above the arrow, it's automatically understood to be finished a start. What this means is that after the A must finish before activity beacon start, hence the finishes start. That means activity A will finish off the five days and then be will start for three days for a total of eight days. Next, we have a start to start with a stock to start. A only has a start on that. Meet the criteria for B to start hens to start to start as an example, let's say we're painting on old room where the paint was flaking off walls. We'll have to first of all, scraped the old pain off and then put the new paint on. But when I'm going to scream the entire room and then start payment, that's just gonna be a waste of time. So as soon as the first worker just scrapes a wall, then the second will kick. It has simply dust it off and begin painting right away, so they will not start exactly at the same time. But they have pretty much the same starting date. So if they both started the same day at one is five days longer. When is three days long? It will take the long over to which is five days. Another relationship is the finish to finish with the finish your finish again. You have the parallel situation going on, but a must finish for B to finish hands of finish to finish an example, let's say here, deploying workstations on a factory floor on. Then you're also gonna be installing software on top of that new hardware until all that hard way is up and running. You can finish your software installation on that hardware, so the harder must finish for the software to finish so they bought in the same day, and one is five days long. When is three days long? It will take the long of a two to get done. There's another relationship that tends to defy the laws of logic. It's a start to finish where one must start for the other to finish. It's best up with an example. Let's say when we building a house, two activities will be inspecting the house and also closing drywall inside most drywall there, two things electrical lines and plumbing lines. So we can probably close one side of drywall. But we cannot close the other side until those lines were inspected. Otherwise gonna make us rip it open. And then we have to do it all over again. Let's say that the activity task rather involved in inspecting the house be things like the electrical inspection, plumbing doors, inspection, Windows inspection and so on. What this means is that we can go ahead and close one side of drywall, but the finish closing the other side. We just did. The inspection is start and just get one and two out of the way, giving us just so we need to finish closing a drywall on any inspected can continue on for the rest of day. Checking doors, windows, etcetera. We just need the inspection to start here, and that's all we need to finish what we're doing with drywall on a gangsta. It looks something like this all along with closing drywall, but have finished closing the driver. We just The inspection is start on. That's all that's needed to finish close to drywall. And then the inspection continues on Arrested attests. So those are the four relationships that tend to exist between any two. Activities are finished. Start the starter, start to finish your finish and to start to finish. But there is another notation intends to allow for the anomalies between two activities and as going lags and leads, which will be covered in the very next lesson. 5. LESSON 4 Using Lags and Leads: Noel activities are a continuation of each other. Sometimes there's a need to deliberately space out to activities or even partially overlap to activities. Lags and leads are a great way to depict these unusual interactions between activities. Here we have a lag. A lag is a deliberate delay between the predecessor on a successor that is visually depicted by the relationship, followed by a positive number. So the illustration on the screen shows that there's a two day lag in between A and B. That means this work is not going to take five plus 38 days, but rather it'll take five days, plus a two day lag, which is seven plus three days, which is 10 10 instead of eight, all because of a two day lack. And when do you use alive many times when, for example, we have to put your some machine? It takes three days to do the approvals. Get a purchase order signed on. They take seven days for delivery that is sometimes made a 10 day activity, it says Procure machine. What is not really true because during the seven days for delivery, no work is being done, and no resource of being used. Everyone is just simply waiting for the FedEx truck to show up. So to say that seven days for delivery is part of the duration of the activity would be incorrect any time at all. That simply has the past represent that footprint as a lad. But do not put it as part of the duration of the activity, so more correct waiter illustrate that would be through this example where we have a three day activity, it says. Procure machine, followed by a seven day, lacked a calm for the delivery time. Another notation is a lead. A leader is a head start that the beginning of B has over the end of a and it's illustrated by the relationship, followed by a negative number. So the diagram on the screen is saying that there's a one day lead and that B has over a. That means this is not We're gonna take a days would rather it'll take five days less one which is four plus 37 instead of eight, or because at one day lead, because it is supposed to be five days long. But by about the fourth day in a once you have just a bare basic of what you need to stop be. It might be polished nicely or package beautifully, but is just what we need to hit the ground running on B. Therefore, be will start one day before a is officially done. I went as one user lead. If you would have looked at a milestone shot, you might realize that you miss one deadline that cause you to miss a second deadline. Therefore, your bottom it's 1/3 deadline on. That is a very stressful situation. Sometimes you begin to get a panic reaction to it on your panic. Reaction would be to pay over time and find more. Resource is, but what you could do is put a one day lead somewhere, put a one day lead somewhere else and put a one day lead somewhere else. You just recovered three days on a schedule just by putting three little strategically place one day leads. But he can't deliver all activities. But you know that some activities that have, like a wind down period toward the end well, you're not really doing a lot of heavy work. You probably just packing stuff away or tightening up stuff that's a great place. Overlap with the work a little bit. Next activity again. No activities you can do it with. But look for any activity. It has a lizard tail toward the end. That's a great place. Overlap of the work load of the next activity. So that is the illustration off flags and leads. So the next lesson we're going to do something called Critical Path method, which is where we calculate a schedule by four passes and backward passes. 6. LESSON 5 Critical Path Method (CPM): So here's where it all comes together. We're now going to calculate our schedule using Critical Path Method or CPM. Typically, GAN shots are used to build on analyze schedules and these charts of very effective in communicating schedule information stakeholders. But the two will be using is the activity on node or a O. N. Diagram. Here, you see, the activities are all listed out A, B, C, D, E and G. The nodes of the boxes are the activities. If we would have zoom in to why these activities this what a notation would look like. Hey, see, the name of the activity goes right across the middle and in the middle of the bottom is the duration of the activity on the top left. We haven't early start date. That's a data. Would you plan to start the activity on the top? Right. We haven't early finished eight. That's the data. Would you plan to finish the activity? And just like on the top, we would really start nearly finished on the bottom. We have a late start on a late finish. The significance of the late dates is that if you fail the start and finish on the early dates you have until a late date to start and finish. The activity on the product will still be on time. Despite that daily, that's something again. Shots have a little trouble demonstrating so we could see in our shop here we have activities A, B, C, D, E and G on the numbers out of durations of the activities. So activity A is five days long. Activity be is one day long. CIA's four days on. He is 10 days long and so on. So we're gonna figure out the early dates of all activities, and then we're going to figure out the late dates of all activities. So feel free to follow along in exercise file number one. And here we start off with the very first activity, which is a A is gonna start off on day zero. It's five days long, so it ends on day five. That goes in the top, right. Therefore be on DSI. Both begin immediately on day five. It's not a we wait until the next weekend or next public holiday. The end of one activity is automatically recognizes the start of the next activity. So beak starts on day five. It's one day long, so it ends on day six. Therefore, D starts immediately on Day six as a days long, so it ends on the 14th activity. See starts on day five. It's four days long. State ends on the ninth, therefore E starts right away in the ninth, and it's 10 days long, so it starts and ends rather on the 19th. So when we're G start out of the 14th or the 19 since both activities D and E have to be done before G would start, then we would take the later over two so that late over to would be 19 and there's four days down will put you ending on the 23rd. This project is 23 working days long again, it does not consider public holidays and so forth on this shop. So now we have the early dates. We're now gonna figure out delayed dates to do that. Take the very last activity, which is G on copy. It's early dates to the bottom as late dates. 19 and 23. Step number two. Try not to look at the top dates since they have nothing to do with what we're doing now. If G is gonna start 1/19 then for the latest D and E both have to end by the 19th recognizing that just use those durations to come backwards. For instance, Deion's and 19th. It's a days long, so it starts in the 11th. Therefore, be for the latest. We're finished by the 11th on its one day Long's. It starts on the 10th. Just come backwards. E ends of 19 back 10 days means you start on the ninth. Therefore see for the latest or finished by the ninth, and it's four days long, so it starts on the first. So when would a end either the 10th or the fifth, when you moving toward the earlier part of the project? Take the earlier of the two dates so the earlier between 10 and five is five and then back five days must always put you back in zero. You don't get zero. Something probably went wrong on that's call a backward pass, determining the late dates of all activities so we could see something pretty profound here . If you look at activity, B B is supposed to start in the fifth, but For whatever reason, if you missed the fifth, you have until attend to stop. Be on. The product will still be on time despite that day, or if you look at it from a finished eight point of view, B should end by the sixth. But if you missed the sixth and 70 11 to finish it on, the product will again still be on time. So what you're looking at here is what we call Float Float is that slacking is scheduled. It's how long could delay an activity before it causes some kind of a delay elsewhere so we could determine the float off every activity. For instance, Activity A it's float will be zero last zero. I'll just put it right here. Zero b. It's 10 less five, which is five for D. It's 11 less six, which is five c is five less five, which is zero and ease, nine less nine, which is zero, and Fergie. It's 19 less 19 which is zero. The critical path is two things is the path along which there is no float. I will be the longest path in a project. Therefore, the critical path of this project will be e See e and G. That is the critical path. And it's a path along which you have no room for error. Any delay along that path, you simply would not complete the project on the 23rd. So that is critical path method. When we come back in the next lesson, we're gonna look at ah ha determine total float and free float. 7. LESSON 6 Total Float and Free Float: So now that we've done our four passes and backward passes and we determine the float of all the activities and we've also identified the critical path, we cannot determine two more things. Total float and free flow with total float. The only place you'll find float is right here. You're not gonna fire float anywhere else. You notice that both be India showing five days afloat. That's not a coincidence. The total float is five. That means essentially that be. Indeed, he can collectively be delayed by a total off five days as we call Total Foot. If B eats up, let's say, two days out of that total float. There's now only three days left for D, so total does not mean five plus five. It just means that B and D has equal access to a total of five days. It's five days by which it can collectively be delayed before they delay the critical path . Now, if B does get delayed, it will inherently delay D. Now we have five days afloat, so that should not really be a problem for the critical path, but because D start date is going to get change so to speak. Then whatever arrangements were made to start on, the six will have to be now pushed down to another time, which might be a limit inconvenient. It could be a backlash to D. However. If you look at D, let's say it does get delayed. Its successor doesn't start till all the way in the 19. So you could delay D for a period of time with no immediate backlash to its successor. That's what we call free float free float, asshole. I could delay an activity before it delays the very next activity. It's very localized, a specific toe, one activity notice that all the other activities are all back to back with their predecessors. DZ only one that can be delayed without an immediate backlash to its successor. So here we have the next size that we could try out. So this and the practice slide is going to be CPM exercise number two just going into a four pass and a backward pass on. Let's figure out the critical path the end date total float on free flow. So feel free to pause the video on. We'll check into okay and we're back. So that's going to a four pass on this. So a is gonna start on day zero. It ends on the third, therefore B and D, with both start in the third. B is two days long ends on the fifth. Therefore D starts right away in the fifth on its one day long, so it ends in the sixth. Therefore, efforts start immediately on the sixth on its seven days long. So it ends on a 13. See start in the third. It's nine days long, so it ends on the 12th. Therefore, E would start on the 12th on its five days long, so it ends on the 17th. So Fergie, it will be the later between 17 and 13. 17 will be the later on. Then plus four days. Who put you ending on the 21st? So the products end date is 21 is a 21 day project, 21 working days long. So we do a backward pass. Just take the very last activity, which is G and copies awaits down to as late dates 17 and 21. So jeans going to start in the 17th than F and e both end for the latest by the 17th. If it offends in the 17 back seven days, means you start on the 10th Therefore deal finish with the latest by the 10th on its one day long. So it starts in the ninth. Therefore be for the latest. We're finished by the ninth on its two days alone. That means it starts on the seventh e ends in the 17 back five days. Means you start in the 12th. Therefore see, for the latest will finish by the 12th on his nine days long. So it starts on the third. So for a it was the ending date will be the earlier between seven and three. There'll be three and then back three must always put you back in zero. So the critical path will be where there is no float. That means the top out on bottom dates will be the same as in this case, it will be a see E on G. That is our critical path where it comes to float. We can see that b d and f all how float. Right here. You can see four days afloat there. You can see four days off love there on four days are flow there, so B, D and F can collectively be delayed by a total off four days. That's the total float and then the free float. Normally, the activity of the end of the string that has float will have the free float on here. We can see that F could be delayed by also four days before delays. The very next activity, which is G. I noticed that both of total float under free floating. These examples are the same is because you use it is the same four days you're losing is just from different perspectives. If you lose one day of total float, you'll know that's automatic loss of one day of free float is the same day, losing just from different angles. So the next lesson we're gonna be getting into critical path method again. But we're going to get into lags and leads 8. LESSON 7 CPM Lags and Leads: So now that we've done CPM Critical Path method, we're now going to do the same thing. But this time for lags and leads. So here we have CPM exercise three in the printouts. Here we have a lag and we have a lead. So going forward, we A starts on day zero ends on the third, therefore B and C, both starting 1/3. B is nine days long ends on the 12th. Therefore, D should start in the 12 but it's a two day lag on there, so that's not 12. That's gonna be 14 all because of that two day lag. So if you started 1/14 and a seven day zone, that means the end of 21st sea salt and 1/3 is three days long, so it ends on the sixth. Therefore, he should start on the six. But there's a one day lag there, so that's not six. That'll be five all because I one day lead, so if it starts on Day five, it's five days long, so it ends on the 10th. So for F, it'll be later between the 21st and the 10th 21st the leader plus four is 25. Just figure out what it should be on. Then throw in the lack of the lead. Now, when we're going backwards, do the opposite. When you did when you went forward, if you minus one when you involved, then add one when you're going back. If you added two when you went forward minus two and you're going back, it seems counterintuitive. But just do the exact opposite of what you did when you went forward. So going backwards for F we have 21 on 25. So if ever is going to start in 21 than D and E both end on 21 de ends on 21 back seven means you start on the 14th. Therefore, be sure in on the 14th as usual. But when you went forward, you added to secure a Mac minus two is really 12. So if he ended a 12 back nine days means you start in the third e ends on the 21st. Back five is 16. Therefore, see shit and under 16. But when you went forward U minus. Once they're coming back, add one is really 17. So the end on 17 back three days means you start on the 14th. So for a, it'll be the earlier between three and 14 threes. The earlier back three always zero. So all critical path is gonna be a B D on F in terms of the float. There it is, 11 days there, 11 days there, So see, And he can collectively be delayed by a total of 11 days when it comes a free float. There it is, 11 days as well. He has 11 days of free float. So with that, let's go and try and exam. This will be CPM excites four in a pronounce. Just got to do a four pass on a backward pass and we'll check in going to pause the video. We check in right after. Okay, we're back. So going followed a starts on Day zero ends on 1/3 so B and C both starting 1/3. B is nine days long. Ends on the 12th. Therefore, D should start over 12 but it's a two day lags that has not 12. That's 14 plus 7 21 Therefore, action started 21 but there's a one day leader man, so that's on 21. That's 20. So we started 24 days down. Put you any under 24th. See, sergeant of the It is three days long ends on the sixth. Therefore, you should start in the six, but there's a one day lead, so that's five. So he starts and five in six days on ends on 11th. Therefore, G should start 11 but there's a five day lag on there that 16 said G starts in 16 2 days down, but you ending on the 18th. So 24 verses 18 24 is a later plus. Four is 28. So going backwards 24 28 for H. If age is going to start in 24 than F and G, both end on 24 g ends on 24 back to is 22. Therefore he should and entering to as usual. But when you went forward, you added five coming back, minus five really 17. So he ends on 17. Back six is 11. Therefore, see shit and 11. But when you informed u minus ones are coming back, add one is really 12 back three is nine on the top, Fn's on 24 back for his 20. Therefore, D should end on 20. But when you went forward U minus ones, they're coming back. Add one is really 21 and back seven is 14. Therefore be should end on 14. But when you went forward, you added two circling back minus two is really 12 on back nine is three. So for a three of us is 93 Z earlier. Back three is zero. So a critical path is A B, D F and H float. There it is six days there, six days there on six days there total float see E g can collectively be delayed by a total of six days. There is the free float, also six days. So now that we've done lads and leads, the very next lesson is going to get into start to starts and finished a finish. 9. LESSON 8 CPM SS FF: So now we're gonna do CPM. But with start to starts and finish your finish, so there's gonna be CPM exercise number five pronounce. So we are going to be Ah a Here we have a started starting to finish finish, so they will be starting on day zero. It's three days long, so it ends on the third, therefore B and C boards starting to third B is two days long ends on the fifth and it's in a start to start with D. That means be as a start for dita start, that means they have the same starting date. So if you already know, MB starts take a gas when D starts also on the third. If you know when one starts, you know when the other starts. So knowing that the starting 1/3 ad seven that usually ending date of 10 let me just correct this and the c C starting 1/3 plus nine is 12. I'm gonna finish to finish with E. That means he has to finish for eat a finish. That means they have the same finished eight. See, if you already know when see finishes, take a guess what e finishes, But look where I'm putting it. That's the main thing to remember. It's a finished h of copying, so it must land in a finished a position. Once you have that down, everything else is easy. So if you know you're finished on the 12th and you know is three days long, you could take a guess with the end date. What a start date is. It's nine. So 10 verses 12 12 is the later group server that Mr Two Hours later plus four is 16. If you know when one starts, you know where the other starts. You know when one ends, you know when you have ends. Main thing to remember is that they must land in the correct position. If you're copping a start date, it must land in a Star Day position copying a finished eight in most land. Enough finished a position. So going backwards, F is gonna be 12 and 16 on the bottom. If if starts on 12 then D and E bought at the end by 12 de ends in a 12 back seven is five as a starter star would be So have D starts on five then, so should be also start on fiber again. Careful where you're putting it. So if you know that be starts in the fifth and his two days long fill in the and 87 e ends in a 12 back three is nine finish finish would see serv e finishes on 12 then so should see which falls conveniently anyway on back that nine days. But you starting on the third. So for a it'll be 1/3 was the fifth. The third is the earlier back five is zero. So critical path is a C E and F for the float. There we are. Two days there. Two days there. So the total floaters, two days being deacon collectively be delayed by a total of two days. There is your free float as well. Two days. So why don't we try an example? So, this one, we're gonna do this one together as well. Here we have a start to start and a finish finish both with blacks. So here we go. A starts on day zero ends on the third, so B and C starting a good B is four days long. Ends in the seventh, and it's in a start to start with D. That means be as a start for deter starts. So be starting 1/3 then so should D. But there's a two day lag on there, so that's not gonna be 1/3 anymore. That's gonna be the fifth. So the main technique here go ahead and copy over the date. Let it land on where it lands. That's we Incremental deck remitted. So if D starts and 1/5 plus seven means you end in the 12th see starts on the third plus nine is 12. Finish your finish with E. So if sea ends on 12 then so should e. But there's a one day lag on there, so that's not 12. That's gonna be 13. So if you know that he ends on a 13 and it's five days long. Filling the start date eight. So through 13 was 12. 13 is the later plus four is 17. Main thing is, when you copied over and it Lance, that's we incremental or documented. Going backwards 13 and 17 on F F starts on 13 so D and e both at the end by 13 de ends on a 13 back 76 start to start would be served d starts on sixth, and so should be. But when you went forward, remember you added to So coming back minus two is really for so be starts and four on his four days long filling the Andy eight e ends on 13 back five is a finish. Your finish with Ceasar Avians and 13 then so should see. But when you went, followed, you added one. So coming back minus one is really 12. So CNN's and 12 back nine is three. So three verses for three easy earlier for a back three is zero. Critical path is a, C, E and F when it comes to float. There is one day there one day there and that's it. Sort of total photos. One day there's a free foot also one day. So there's these activities are near critical. They're almost devoid afloat. So we did pretty good on this. So in the next lesson, we're going to get into a full scale version of one of these charts. I'm just going to go forward and back 10. EXERCISE CPM FULL Exercise: Well, it's just about time to do a full on exercise on that covers everything that we spoke about before. So this is gonna be the CPM excise number seven. So go ahead and just saw pose a venue and just got into a four paths in the back of passage . And we'll see you on the other side. Okay, So if you did this excise, let's see how you did. So a starts on Day zero ends on the fifth, therefore, B and C both start in the fifth. B is nine days long, so it ends on the 14th as a finisher finish with D Sabine's of Beings in the 14th Then so should d. But as a one day lag. So that's 15. See Vienna 15 back seven means you start in the eighth, therefore F on G Both started 15 efforts to days long ends in the 17th start to start with H, so H should start in the 15 does well, just like f. But is a three day lag. So that's not 15 anymore. That's going to be, uh, 18. So if you start in the 18th and is a days long, you end on the 26th G starts in 15 plus six is 21. Finish your finish with I, so I should end on 21 as well. But as a five day lag, that's why it's also 26 safety and in a 26 7 days long filling. The start date in 19 see starts in the fifth plus one is six. Start to start with E, so e shows will start in the fifth. But it's a four day lag. That's why it's nine. So you started. Nine plus five is 14 and there's a regular finishes start with a lead. So normally Dish J should start in the 14 but it's a two day lead on there. So as 12 so starting on the 12 with five days long, you end in the 17th. So 17 was 26 with 26 26. The latest plus nine is 35. The product is 35 working days long, going backwards 26 for que Onda 35. So if K starts on 26th and H I and J all end on 26 j ends on 26 back five is 21. Therefore, e should and on 21. But when you went forward u minus Tuesday Coming back. Add two is really 23. So he ends on 23 back five is 18 and so start to start with C. So e starts in 18th and so should see. But when you went forward, you added forces coming back minus four is really 14. So Steve starts on 14 plus one is 15. I ends on 26. Back seven is 19. Finished a finish with Jesus G. Sorry if I ends on 26th and so should G. But when you went forward, you added five becoming Mac minus fires. Really 21. So G ends on 21. Back six is 15 h ends on 26. Back eight is 18. Stop to start with F so f should also start in 18. But when you and followed you added threes. They're going back minus three is really 15. So if F starts in 15 plus two gives you on any date of 17. So for D is gonna be 15 verses 15 15 or video and then back seven means you start in the eighth. Finnish. A Finnish would be so d'enzo 15. Then he should end in 15. But when you went forward, you added one minus one when you coming back, which is 14 back nine. Me to start on the fifth. So for a, it'll be out of the fifth or the 14 50 z earlier. Back fifth back, 50 So all critical path is a B D. If H and K as well as A, B, D, G, I and K, there are two critical paths. That would mean that the schedule research projects are living elevated, but it's not impossible when it comes to the float. There we have flowed over there, See nine days there, nine days there on nineties there so C, E and J can collectively be delayed by a total of nine days. How it comes a free float. There it is. Oops, nine days as well. So you did pretty good. We side up. But just look at a simple progression of the activities and we got all the way up to stop Stocks finish, finish, wit lags and leads. So the very next Ah, in the very next conclusion would just wrap up what we did on. We'll see what other possibilities are there when it comes to this methodology for scheduling 11. SUMMARY AND NEXT STEP: so in summary, we broke down the work involving a project down to the activity level, which now becomes a backbone of a schedule. We determine the duration those activities using expert judgment and also the per calculation. But be sure to check out one of our other courses. Call estimating project orations, where we get much deeper into the techniques off duration as meeting things like how to find reliable experts. How do you scatter diagrams to identify trends, how to use performance indicators and also how to use probably distribution, specifically triangular distribution. Also in this course, we identified how to sequence activities using precedents relationships. We also looked at lags and leads to create artificial overlaps and also artificial spacing . We then we did forward and backward passes in order to German the early and late dates of the activities and therefore that allowed us to locate the critical path identified. The end Dave. The project on also identified Total float as well as free float, but not a We've built our schedule. We would no doubt be in covering factors that could cause delay to that schedule on delays wreak havoc on product performance. Be sure to check out one of our other courses That covers how to accelerate the schedule in the event of delays, where become a techniques in cross feeding on compressing a schedule through crashing and also fast tracking from all of us projected seminars. Thank you for watching Take here. I will see you again soon.