Concept explainers
a
Interpretation: Activities which can be started early.
Concept Introduction: The critical path is the arrangement of project activities which gives an estimated time duration under which the project will be completed. The project activities may include float activities which can be delayed focusing on the shortest time duration.
b
Interpretation: Number of paths in the network.
Concept Introduction: Early start time: The rule for the early start time of a task is that it is equal to the largest early finish time of the task’s immediate predecessors.
Early finish time: The early finish time of a task is the addition of both task time and early start time of the task.
c
Interpretation: The critical path and completion time of the network.
Concept Introduction: The critical path is the arrangement of project activities which gives an estimated time duration under which the project will be completed. The project activities may include float activities which can be delayed focusing on the shortest time duration.
d
Interpretation: The earliest time to complete Activity G.
Concept Introduction: The critical path is the arrangement of project activities which gives an estimated time duration under which the project will be completed. The project activities may include float activities which can be delayed focusing on the shortest time duration.
e
Interpretation: The late start time for activity F without delaying the project.
Concept Introduction: The critical path is the arrangement of project activities which gives an estimated time duration under which the project will be completed. The project activities may include float activities which can be delayed focusing on the shortest time duration.
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Practical Operations Management
- A project consists of the activities in the following list. Times are given in weeks. Activity Preceding Time A -- 8 B -- 4 C A, B 7 D A, B 3 E C, D 5 F C, D 6 G E, F 4 Draw the project network diagram. Calculate each activity's ES, EF, LS, LF, and Slack using the project activity nodes on the project network diagram. What is the project completion time? Identify the critical patharrow_forwardA new project is to be completed. The following activities need to be completed in the order shown, where times are in weeks.A new project is to be completed. The following activities need to be completed in the order shown, where times are in weeks. (attached) You must use two decimal places at all times for expected times when they are not integer(a) Draw the activity network for this problem (b) Determine the Expected Times. (c) Determine the activity schedule (ES, EF, LS, and LF) as well as slack.(d) Determine and state the critical path for this project. (e) What are the expected time and the variance of the project? (f) What is the probability that the project is completed in 22 or fewer weeks. (g) What date should be set such that there is a 94% chance of completion within that time?arrow_forwardThe activities necessary for the completion of a project are listed in the table below (Time in weeks). You are asked to complete the project 1 week ahead of time. You should crash Activity ________. This will incur an additional cost of $_________ .arrow_forward
- Activity A takes 36 hours and can begin as soon as the project begins. Activity B takes 21 hours and should take place after the project has begun. Activity C must happen after Activity A and lasts 31 hours. Activity D must take place after activities B and C takes 26 hours. Activity E must take place after Activity C and lasts 6 hours. Activity F takes place after Activity E and lasts 18 hours. Activities F and D are the project's final activities. Draw the AON for the network diagram and specify the critical path and its duration.arrow_forwardSuppose you are the project manager for the following project: First, draw a network diagram for the project. Determine the critical path and slack times for all of the tasks. This completes your plan for the project schedule. During project execution, you become aware of the need to change the duration of Task 4 to five days. Meanwhile, Task 3 has been finished one day early, so it only took one day to do. What, if any, effects do these changes have on your project? What would have happened if you had not been monitoring the status of the project?arrow_forwardThe table below contains the activities, their normal and crash time, and cost along with predecessor activity. Crash this project up to 5 weeks (in the optimum way) step by step.arrow_forward
- You have to manage a project with activities and their respective durations as listed in the table below. Draw a network diagram, Calculate the forward, backward pass, total slack, free slack and identify the critical path.arrow_forwardConsider the following project network and activity times (in weeks): a. Identify the critical path. b. How much time will be needed to complete this project? c. Can activity D be delayed without delaying the entire project? If so, by how many weeks? d. Can activity C be delayed without delaying the entire project? If so, by how many weeks? e. What is the schedule for activity E?arrow_forwardIn the space provided below create the network diagram that shows the relationship (logic) of project activities shown below and then number each event. 1. In a given project activities "A, B and C are initial activities that may begin at the same time 2. -----"D" cannot begin until "A" is complete. 3. ----- "B" must be complete before E can begin. 4. ----- "F" cannot start until "C" is finished. 5. ----- "G" cannot begin until "B" is finished. 6. ----- "G" and "D" must be done before "H" can begin. 7. ----- "I" cannot begin until "B" is finished. 8. ----- "J" can begin only after "F" and "I" are complete. 9. ----- Once "E" is complete, "K" can begin. 10. ---- The project will be finished when "H" "J" and "K" are complete.arrow_forward
- When developing a schedule network diagram, the project manager must take into account the dependencies between activities as well as the start and finish relationships between activities. List and describe the four types of schedule activity relationships List and describe the four types of schedule activity dependencies Include examples of each item above, that do not come from the PMBOK.arrow_forwardConsider the following table of activities A through E in which A is the start node and E is the stop node. Assume all activities require the same resource. On a piece of scratch paper, draw the early-start Gantt Chart associated with this table and determine the following. Assume the project is resource-constrained but not time-constrained. Assume only one resource is available and that resource can only do one activity at a time. Activities B, C and D all have the same early start date (time). Since there is only one resource, only one of the activities B, C, D can be started on the early start date. Which should be started first?arrow_forwardThe following is the data available for a project: Activity Predecessor Expected Duration (Days) A - 12 B A 9 C B,E 3 D - 10 E D 6 F E 3 G - 2 H G 9 I E,H 2 Expected duration for the completion of the project. Calculate earliest and latest start and finish times for each activity. Draw the network diagram for the project and determine the critical patharrow_forward
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