# Figure out the early start and early finish. Early start. Early finish

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1 Figure out the early start and early finish oming up with the float for each activity is useful, but you can actually do better! When you have a long critical path, but the other paths in your network diagram are short, then you have a lot of freedom in when you can start and finish each of the activities that are not on the critical path. You can use early start and early finish to get a handle on exactly how much freedom you have in your schedule. The critical path has a duration of + + = 1 The other path has a duration of 2 + =. It s a lot shorter than the critical path, so there should be a lot of play in those activities. 2 ven if starts really late, since the path it s on is so much shorter than the critical path, the project will still be on time. That means the early start and early finish for and are really early they can end a lot sooner than, and, which will free up their resources for you to use. arly start Is the earliest time that an activity can start. n activity near the end of the path will only start early if all of the previous activities in the path also started early. If one of the previous activities in the path slips, that will push it out. arly finish Is the earliest time that an activity can finish. It s the date that an activity will finish if all of the previous activities started early and none of them slipped. When you find the early start and early finish for each task, you know exactly how much freedom you have to move the start dates for those activities around without causing problems. you are here 2

2 starting late Figure out the latest possible start and finish It s also important to know how late any activity can run before it delays the project. That s what late start and late finish are for! They let you figure out how late you can start a certain task and how much it can slip before it delays your project. This is the same network diagram from the last page. This path is much shorter than the critical path, so you should be able to start very late and still complete the project on time! 2 The path is on has a much shorter duration than the critical path. So even if it has a long delay, it still won t harm the project. Late start Is the latest time that an activity can start. If an activity is on a path that s much shorter than the critical path, then it can start very late without delaying the project but those delays will add up quickly if other activities on its path also slip! Late finish Is the latest time that an activity can finish. If an activity is on a short path and all of the other activities on that path start and finish early, then it can finish very late without causing the project to be late. Figuring out the late start and late finish will help you see how much play you have in your schedule. n activity with a large late start or late finish means you have more options. 2 hapter

4 backward pass Take a backward pass to find late start and finish You can use a backward pass to figure out the late finish and start for each activity. Now take a backward pass through the same network diagram. The backward pass is just as easy as the forward pass. at the end of the path you just took a pass through and work your way backward to figure out the late start and finish. 1 = 11 = 1 = = We ve already figured out the S and F, so they re filled in here! with the critical path. You re calculating the latest any activity can start and finish, so it makes sense that you need to start at the end of the project and work backwards and the last activity on the critical path is always the last one in the project. Then do these three steps, working backwards to the next-longest path, then the nextlongest, etc., until you ve filled in the LS and LF for all of the activities. Fill in the LF and LS for the activities on each path, but don t replace any LF or LS you ve already calcualted. 1 = at the end of the path, with. The LF (late finish) of the last activity is the same as the F. alculate its LS (late start) by subtracting its duration from the LF and adding one. LS = = 12 Now move backwards to the previous activity in the path in this case,. Its LF is the LS of minus one, so LF = 12-1 = 11. alculate its LS in the same way as step 1: LS = =. Now do the same for. LF is the LS for minus one, so LF = - 1 =. nd LS is LF minus duration plus one, so LF = = 1. Now you can move onto the next-longest path, ---. If there were more paths, you d then move on to the next-longest one, etc., filling in LF and LS for any nodes that haven t already been filled in. 11 = = 12 1 They re the same if there s only one path. ut with more paths, things get interesting! First do the forward pass for both paths. When you do that, you get a different LF for, which makes all the numbers change! 1 = We use to calculate the LF for because it has the lower LS. 20 hapter

5 Let s take some time out to walk through this! ll of this critical path stuff seems pretty serious, right It s one of the toughest concepts on the exam. ut don t sweat it, because it s actually not hard! It just takes a little practice. Once you do it yourself, you ll see that there s really nothing to worry about. alculating the S, F, LS, and LF may seem complicated, but it only takes a little practice to get the hang of it. Once you walk through it step by step, you ll see that it s actually pretty easy! There are four paths in this network diagram. Fill in each of the activity names and durations for each of the paths. F nd H G Put an asterisk (*) next to the critical path. We re not done yet! There s more on the next page... you are here 21

6 critical path practice Remember, the early start of the first activity in a path is one. Let s move on to the second path. S= F= Take a forward pass through each of the four paths in the diagram and fill in the early starts and early finishes for each activity. with the first one. S= F= S= F= The early start of an activity is the early finish of the previous activity plus one. F The early finish of an activity is its S plus its duration minus one. S= F= S= F= S= F= The next path isn t as straightforward as it looks. by filling in its values. H S= F= S= F= S= F= Now take another look at it, and how it mixes with the last path. It includes activity H, which was also in the last path. H will have a different S depending on which path you use! So which predecessor do you use or G The idea here is that you use the S= predecessor with the larger F value when F= you calculate the S for activity H (because you want the latest possible start date). S= F= G S= F= H S= F= Wait up! These two aren t so straightforward. Once you have the F for both activities and G, you can use the bigger one to come up with the S for activity H. 22 hapter

7 You ve calculated the S for each activity. Use that information and take a backward pass through the paths, starting with the first two paths. First start with the critical path. Take the F of the last activity in the critical path and use it as the LF for the last activity in every path. If you take a minute to think about it, it makes sense to do that. The point of LF is to figure out the absolute latest that the activity can end without making the project late. nd as long as every non-critical-path activity ends before the last activity in the critical path, then they won t be late. We ll start by giving you the LF of critical path, ---H-, which is 1. by filling in the LF of the last activity in each path, which is the same as the F of the last activity in the critical path. LF= LS= Move backwards through the path, filling in the LS by subtracting the duration from the LF and adding one. We ve filled in the first two for you. The LF for each activity is the LS of the next one on the path minus one. LF= LS= LF= LS= For activity, you have a choice you can calculate the LF using the LS from either activity or F. Use the lower value, subtract one, and fill it in. F LF= LS= up by calculating the LS and LF for the last two paths! ctivities and have two possible choices for which LS to use for the calculation. For activity, do you use the LS of or the LS of F nd for activity, do you use the activity or G The answer is that you always use the lowest value of LS to calculate the LF. The reason is that you re trying to find the latest possible start date that won t make the project late. If you use an activity with a later LS, and the activity really is delayed by that much, then it ll cause a delay in both following activities. nd that will make the one with the lower LS start too late. LF= LS= is another one where you have to chose which LS to use in order to calculate the LF. You can either use the LS from activity or activity G. Use whichever is lowest, subtract one, and fill it in. LF= LS= G LF= LS= H LF= LS= you are here 2

8 exercise solutions If you got a few of these wrong, don t worry. It s easy to miss one calculation, and that leads to a problem on the whole path. 1 = 1 = 1 Now you know that activity G can start as late as day of the project (assuming the units are days) or it could finish as early as day 11.. For the exam, you ll only have to do one or two of these calculations, not a whole string of them like this. You ll definitely be able to handle the exam questions now! = = 10 1 = 1 G 11 = F 1 = 11 1 H 1 1 = 1 1 Wait a minute... I ve never had to do this for my projects at work! I ve got projects with dozens of activities, and this would take all day! You won t have to do this kind of thing on the job... that s what computers are for! Project management software like Microsoft Project will do these calculations for you. ut you need to know how to do it yourself, because when the computer is doing critical path analysis, this is exactly how it figures it out! 2 hapter

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