2d barcode generator vb.net CRITICAL PATH in Software

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CRITICAL PATH
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The critical path is the set of tasks that determines the shortest possible completion time. The completion time will be longer if there are insu cient resources to do all parallel activities. However, the completion time can never be made shorter by adding more resources.
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ALGORITHM FOR MARKING CRITICAL PATH
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1. Start with the node(s) with the latest completion time(s); mark it (them) as critical.
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CHAPTER 4 Software Project Planning
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2. Select the predecessor(s) of the critical node(s) with latest completion time(s); mark it (them) as critical. Continue Step 2 until reaching the starting node(s).
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EXAMPLE 4.5
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In Table 4-2 we can see the completion times of all of the subtasks. Subtask h has the latest completion time, 25. Thus, we mark h as part of the critical path. The predecessors of h are f and g. Subtask f has the latest completion time of those two subtasks, so f is marked as part of the critical path. Subtask f has c and d as predecessors. Since c has the later completion time, c is marked as part of the critical path. Subtask c has a and b as predecessors, and since b has the later time, it is part of the critical path. Since we are now at an initial subtask, the critical path is complete.
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4.3.4 SLACK TIME
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Subtasks that are on the critical path have to be started as early as possible or else the whole project will be delayed. However, subtasks that are not on the critical path have some exibility on when they are started. This exibility is called the slack time.
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4.3.5 ALGORITHM FOR SLACK TIME
1. Pick the noncritical node with the latest ending time that has not been processed. If the subtask has no successors, pick the latest ending time of all nodes. If the subtask has successors, pick the earliest of the latest start times of the successor nodes. This is the latest completion time for this subtask. Make the latest start time for this subtask to re ect this time. 2. Repeat Step 1 until all noncritical path subtasks have been processed.
EXAMPLE 4.6
The noncritical subtask with the latest completion time is subtask i. Since it has no successors, the latest completion time, 25, is used. This is added as the latest completion time for i. Since 25 is 1 later than 24, the start time is changed from 21 to 21,22. Now the latest nonprocessed, noncritical subtask is g. Since h is the only successor of g, and h must start by 21, g must end by 21. So the completion time of g becomes 19,21 and the start time becomes 17,19. The next subtask to be processed will be d. It has successors f and g. Subtask f has to start by 18, so d s completion becomes 17,18, and its start becomes 8,9. The next subtask to be processed will be e. Subtask e has g and i as successors. Subtask g s latest start time is 19 and i s is 22, so subtask e becomes 10,14 for start times and 15,19 for completion times. The last subtask to be processed is a. It has successors c and d. Subtask a has to complete by 9, so the completion time will be 8,9, and its start time will be 0,1. Table 4-3 summarizes the results.
CHAPTER 4 Software Project Planning
Table 4-3 Subtask ID a b c d e f g h i Subtasks with Slack Time Completion Time 8,9 10 18 17,18 15,19 21 19,21 25 24,25 * * * * Critical Path
Start Time 0,1 0 10 8,9 10,14 18 17,19 21 21,22
EXAMPLE 4.7
USING MICROSOFT PROJECT
Open MS Project (version 98). Select PERT view on left menu. Under the Insert pull-down menu, insert a new task. Use the right mouse button to open task information. Change the time for the task to 5 days. Drag from this task to create a new task with a dependency on the first task, or go to the Insert menu to insert another new task. Create the tasks and dependencies from Example 4.5. The tasks on the critical path will be shown in red. Use the left menu bar to see the Gannt chart view of this project.
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