Concept explainers
Interpretation: Duration of the project to complete is to be determined.
Concept Introduction: Critical path is the arrangement of project activities which gives an estimate time duration under which project will be completed. The project activities may include float activities which can be delayed focusing on the shortest time duration.
PERT diagram is a graphical project management tool used to organize and analyze project and it’s activity. It defines time duration for a project and also for each activity in a project.
Early start time: The rule for early start time of a task is that it is equal to largest early finish time of the task’s immediate predecessors.
Early finish time: The early finish time of a task is addition of both task time and early start time of the task.
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Practical Operations Management
- Dave Fletcher was able to determine the activity times for constructing his laser scanning machine. Fletcher would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. Here are the activity times: Dave's earliest start (ES) and earliest finish (EF) are: Activity Time (weeks) Immediate Predecessor(s) Activity Time (weeks) Immediate Predecessor(s) A B C D 7 6 3 2 A A Activity A ES EFGH EF 7 3 6 11 6 B B C, E D, Farrow_forwardDave Fletcher was able to determine the activity times for constructing his laser scanning machine. Fletcher would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. Here are the activity times: Activity Time (weeks) Immediate Predecessor(s) Activity Time (weeks) Immediate Predecessor(s) A 7 − E 4 B B 6 − F 5 B C 4 A G 10 C, E D 2 A H 8 D , F Part 2 Dave's earliest start (ES) and earliest finish (EF) are: Part 3 Part 4 Part 5 Part 6 Part 7 Part 8 Part 9 Part 10 Dave's latest start (LS) and latest finish (LF) are:…arrow_forwardMohammed is planning to renovate his house garden; he is wondering how long it may take him to achieve this project so he asked his friends who went through the same project. Ahmed told him it will take 7 days, Faisal told him it will take 10 days and Salem told him it will take 15 days. How long it will take Mohammed to renovate his garden following the Beta distribution?arrow_forward
- The managers at AllBirds have operations in multiple countries, which operate on different financial management systems. This has been increasingly challenging for the company, so the Justin is looking to consolidate and integrate the financial management across all locations into a single software system that can operate across the national boundaries. This is a new, complicated and lengthy project, so Justin has identified a set of activity categories that will need to be carefully managed, as noted in the table. What is the probability that project can be completed two months early?arrow_forwardThe Cove at UP is looking to open a new location. Guillermo Santiago has been developing a project plan and has identified the following tasks, precedence relations, and normal task durations. \ tasks predecessors task duration start 0 A start 7 B A 20 C A 34 D B 39 E C,D 6 F D 15 G E,F 33 end G 0 Guillermo has studied project management at the University of Portland and knows that the starting and ending time of any task may be determined from the information in the table using the critical path method. Assume the following notation when answering the questions below: \ Metric Description ES Early start time for task EF Early finsh time for task LS Late start time for task LF Late finsh time for task TS Total slack for task FS Free slack for task IS Independent slack for task SS safety slack for task Please provide the CPM result for each of the following metrics: ES_{end} = LS_{D} = TS_{D} = EF_{G} = LF_{G} =arrow_forwardThe Virginia Department of Transportation is undertaking a construction project to widen a large section of interstate highway near Wahington, DC. The project includes the construction of a number of new bridges, interchanges and overpasses. The first step in the process is to appoint a project manager and develop a project team, whose members will be departmental employees and private consultants and operatives. The team for a project of this size also requires a large support staff with a variety of technical skills. Once the team is selected and the staff is in place, the next task is to select a primary contractor to manage and oversee the construction. The following activities are standard for the planning and scheduling of this process: Activity Activity description Time predecessor estimates (weeks) Activity a | b Select project management 2 2 a b Develop team recruitment process 3 a. Implement team recruitment process by 3. 6. Staff needs assessment 3 Staff recruitment…arrow_forward
- Dave Fletcher was able to determine the activity times for constructing his laser scanning machine. Fletcher would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. Here are the activity times: Time Immediate Time Immediate Activity (weeks) Predecessor(s) Activity (weeks) Predecessor(s) A 7 E B 7 B C 3 A G 9 C, E D 1 A H D,F Dave's earliest start (ES) and earliest finish (EF) are: Activity ES EF A 7arrow_forwardDave Fletcher was able to determine the activity times for constructing his laser scanning machine. Fletcher would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. Here are the activity times: Activity Time (weeks) Immediate Predecessor(s) Activity Time (weeks) Immediate Predecessor(s)A 7 - E 4 BB 8 - F 7 BC 4 A G 11 C, ED 1 A H 6 D , F Dave's earliest start (ES) and earliest finish (EF) are: Activity ES EF A 0 7 B 0 8 C 7 11 D 7 88 E 8 12 Part 7 F ? ? G ? ? H ? ?arrow_forwardWe are the project manager for an IT project in our company. We identified the following top-level project tasks and estimated durations to standup a small test lab for the project: Identify test lab building/space requirements and possible locations(8days) Select best location for lab (1day) Once the best location is selected, immediately start the next two tasks: Prepare lab space with power and cabling (3days) Identify/procure required specialized test lab hardware/software(5) Once the lab space is prepared, install/check out available infrastructure hardware/software(1day). Once the specialized software/hardware is received and the infrastructure hardware/software is installed/checked out, install/checkout specialized software/hardware (2days) Once all tasks are completed, conduct the final inspection (1 day). Let's create a PERT/CPM chart for this project and identify the overall project duration and critical path.arrow_forward
- Dave Fletcher was able to determine the activity times for constructing his laser scanning machine. Fletcher would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. Here are the activity times: Activity Time (weeks) Immediate Predecessor(s) Activity Time (weeks) Immediate Predecessor(s)A 6 - E 5 BB 8 - F 6 BC 2 A G 9 C, ED 3 A H 7 D , F Dave's earilest start (ES) and earliest finish (EF) are: Activity ES EF A 0 6 B 0 ? C D E F G Harrow_forwardThe county government has decided to redo the street you live on and plans to block the street off, which causes you and your neighbors considerable inconvenience. The project has three parallel paths defined as follows: (i) path A-B-C-H to install street lights and electrical wiring that takes 30 days, (ii) path A-D-E-H to install sidewalks with handicap capabilities that takes 25 days, and (iii) path A-F-G-H to repave the street including storm drains that takes 35 days. What path through the project network is the critical path? The critical path is -Select-arrow_forwardDave Fletcher was able to determine the activity times for constructing his laser scanning machine. Fletcher would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. Here are the activity times: Time Immediate Time Immediate Activity (weeks) Predecessor(s) Activity (weeks) Predecessor(s) A 7 E B 7 3 A G 9 C, E 1 A H 8 D, F Dave's earliest start (ES) and earliest finish (EF) are: Activity ES EF A 7arrow_forward
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