Consider the AON graph of a project shown below. Figure 19.17 A1 (A2) A3 A5 A4 days A6 The activity times are 4, 3, 3, 6, 9, 1, 3, and 3 days for activities A₁ through Ag. respectively. What is the earliest completion time of the project? A7 Ag
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- An IT company must complete a project with the following tasks listed A to G. ACTIVITY NORMAL DURATION (DAYS) CRASHED DURATION (DAYS) NORMAL COST ($) CRASHED COST ($) A 7 5 500 900 B 4 2 400 600 C 5 5 500 500 D 6 4 800 1000 E 7 4 700 1000 F 5 2 800 1400 G 6 4 800 1600 The following are all the paths in the project from start to end and the durations of each: A-B-E-G : 24 days A-C-E-G : 25 days A-C-F-G : 23 days A-D-F-G : 24 days Develop a crashing schedule to show which activities should be crashed to crash the project by 4 days and the lowest cost of doing so.PROJECT PLANNING & SCHEDULING WITH GANNT CHART Given the activities of a project, their time estimates, and their immediatepredecessors shown below:a. Draw the Gannt chart for this project.b. What’s the earliest expected time to finish the project?c. Which activities should not be delayed?d. Which activities can be delayed?e. What’s the maximum amount of time that each of the activities can be delayed without delaying the whole project? Activities Activity Times,months ImmediatePredecessors Maximum Slack,months A 2 - B 3 - C 2 A D 4 B E 4 C F 3 C G 5 D, E H 2 F, GA contractor needs to complete a project. The project involves 10 activities (labeled A, B, ..., J) with precedence relationship in network below. The estimate (in weeks) of the duration of each activityis in the table below. a. The mean and variance of the activity time for A~F are given in the table. Find the mean and variance of the activity time for the remaining arcs.b. Identify the critical path and then compute the mean and variance of the project completion time.c. What is the probability that the project is completed between 32 and 36 weeks?d. What completion time should the contractor claims to be 95% sure of completing the project by then?
- Consider the project network pictured. Assume that the timesattached to each node are the means and the variances of the project completion times, respectively.a. Identify all paths from nodes 1 to 6.b. Which path is critical based on the expected completion times?c. Determine the probability that the project is completed within 20 weeksassuming that the path identified in part (b) is critical.d. Using independence of paths A–C–E and B–F–G only, recompute the answer to part (c).e. Recompute the answer to part (c) assuming independence of the paths identified in part (a).f. Which answer, (c), (d), or (e), is probably the most accurate?For the activity on arrow network information given below (activity durations are givenin the table under part b): a. Compute the earliest event occurrence time (TEj), the latest allowable eventoccurrence time (TLj), and the event slack (ESj) for all nodes/events. b. Compute the four schedule dates (ESDij, EFDij, LSDij, LFDij) and the floats(TFij, FFij) for all activities.. True/False Statements (Tick the correct option) Selection of the critical path in network activity diagram for any project, is always focused onresult of the minimum time duration of the critical activities [ True / False ] Suppose, we have total 03 activities in the project “X”; namely L, M and N respectively. An activity “M” is the immediate successor of the activity “L”, while the activity “M” is the immediate predecessor for the activity “N”. According to this scenario, an activity “M” will be the last activity of the project “X” in the network activity diagram [True / False ] The dummy activity consumes both time and resources [True / False ] Towards the optimal solution through stepping stone method, when degeneracy problem is occurred, the next step is to focus on searching lowest value on the independent position in a non-allocated cells [True / False ] Hungarian algorithm, first convert any given assignment matrix into row reduction matrix [True / False
- A project is scheduled to complete in six months duration. There are two activities in the project. The actual cost of Activity 1 is SAR 300,000 and that of Activity 2 is SAR 200,000. The planned value of these activities is SAR 280,000 and 150,000 respectively. On reviewing, the current project status is Activity 1 is 100% completed and Activity 2 is only 75% completed. (i) Perform the earned value calculations of the above project scenario and fill the given table. Activity Month 1 Earned Value Planned Value Actual Cost Cost Variance Scheduled Variance Cost performance Index Schedule performance Index (ii) What do you infer about the project schedule and cost based on your calculations?An office complex is to be renovated. Before the job can be completed, various tradespeople and skilled workers must install their materials. The table for this problem describes the relationships between the activities that need to be completed. Activity Immediate Predecessors Time (days) A1 - 6 A2 A1 7 A3 A1 3 A4 A1 10 A5 A2 10 A6 A3, A4 4 A7 A4 8 A8 A4 5 A9 A5, A6, A7 7 A10 A8 6 a) Develop a project network for this problem. b) Determine the EST, EFT, LST, LFT, and slack for each activity. c) What is the critical path and project completion time? d) Submit your fileAn office complex is to be renovated. Before the job can be completed, various tradespeople and skilled workers must install their materials. The table for this problem describes the relationships between the activities that need to be completed. Activity Immediate Predecessors Time (days) A1 - 6 A2 A1 7 A3 A1 3 A4 A1 10 A5 A2 10 A6 A3, A4 4 A7 A4 8 A8 A4 5 A9 A5, A6, A7 7 A10 A8 6 a) Develop a project network for this problem. b) Determine the EST, EFT, LST, LFT, and slack for each activity. c) What is the critical path and project completion time?
- The North Carolina Department of Transportation is undertaking a construction project to widen a large section of interstate highway near Charlotte, NC, which includes the construction of a number of new bridges, interchanges, and overpasses. The first step in the project is the appointment of a project manager and the development of a project team, some of which will be departmental employees and others will be private consultants and operatives. The team of a project of this size also requires a large support staff with varying technical skills. Once the team is selected and the staff is in place the first task is to select a primary contractor to manage and oversee the actual construction. The following table gives the standard activities required for the planning and scheduling of this process. Activity Description Predecessor Time (weeks) Optimistic a Most Likely m Pessimistic b a b c d e f g h i j k L M Select project manager Develop a team recruitment…A project consisting of eight activities satisfies the following precedence constraints:Time ImmediateActivity (weeks) PredecessorsA 3B 5AC 1AD 4 B, CE 3BF 3 E, DG 2FH 4 E, Da. Construct a network for this project. (You should need only one pseudoactivity.)A project consisting of eight activities satisfies the following precedence constraints: a. Construct a network for this project. (You should need only one pseudoactivity.)b. Compute the earliest and the latest starting and finishing times for each activity and identify the critical path.c. Draw a Gantt chart of the schedule for this project based on earliest starting times.