(AOA) and (AON) Network construction and critical path calculations (using fo...Dr. Mahmoud Al-Naimi
This document provides an example of constructing an activity on arrow (AOA) network and activity on node (AON) network for a project with multiple activities. It shows the steps to calculate early start, early finish, late start, late finish, total float, and critical path for identifying the longest duration of project completion. The critical path is identified as A → C → G → J, with an overall project completion time of 27 days.
WEDDING PROJECT MANAGEMENT by Alodia.docAlodia Fedora
This document provides details for planning a traditional Chinese wedding for clients Stacy and John. It includes a network diagram and calculations for delivering meals to families in need as Task 1. Task 2 outlines the scope, objectives, deliverables, terms of reference, milestones, and technical requirements for Stacy and John's wedding dinner for 100 tables to be held at Marina Bay Sands on Valentine's Day 2016. The technical requirements section specifies the items that must be included in the betrothal ceremony between the groom and bride's families as per traditional Chinese wedding customs.
Project Management Tools and Techniques (PERT- Project Evaluation and Review ...Zulfiquer Ahmed Amin
Project management involves planning, executing, and controlling projects to achieve specific goals within defined time and resource constraints. It utilizes tools like PERT (Program Evaluation and Review Technique) to estimate activity times, determine critical paths, and update schedules as projects progress. PERT uses three time estimates - optimistic, most likely, and pessimistic - to calculate expected activity times and identify float and slack. The critical path determines the minimum project duration, and crashing or fast tracking can potentially shorten schedules at increased cost. Project management tools help make projects more efficient and effective.
The document discusses various methods for estimating project times and costs, including top-down and bottom-up approaches. Top-down approaches include consensus methods, ratio methods, and the apportion method. Bottom-up approaches include the template method, parametric procedures applied to specific tasks, and detailed estimates for work packages. Estimates should be refined as risks and details become clearer, and contingency funds and time buffers can be added to offset uncertainty.
This document discusses various ways that projects can be terminated. It identifies four main types of project termination: extinction, addition, integration, and starvation. Extinction occurs when a project achieves or fails to achieve its goals. Addition involves a successful project becoming part of the parent organization. Integration incorporates a completed project into the client's operations. Starvation happens when funding is removed from an ongoing project. The document also outlines factors for terminating a project, procedures for termination, and recommendations for a final report.
The Basics of Project Networks. Download additional slides, videos, and resources at https://www.christiansonjs.com/
Signup for The Free-Range Technologist, a monthly newsletter filled with creative commons resources, useful apps, and lifehacks: https://mailchi.mp/f8f0219bc305/jscott
This document discusses project management and the Program Evaluation and Review Technique (PERT). It begins with introductions to project management and PERT. PERT is a statistical tool used to analyze tasks in a project and determine the minimum time needed. Key PERT concepts discussed include critical path, float, expected and normal times. The document provides a theoretical example and then applies PERT to an industrial example of assembling a switch board. Key steps of PERT execution are outlined. Questions about project management responsibilities are also addressed.
(AOA) and (AON) Network construction and critical path calculations (using fo...Dr. Mahmoud Al-Naimi
This document provides an example of constructing an activity on arrow (AOA) network and activity on node (AON) network for a project with multiple activities. It shows the steps to calculate early start, early finish, late start, late finish, total float, and critical path for identifying the longest duration of project completion. The critical path is identified as A → C → G → J, with an overall project completion time of 27 days.
WEDDING PROJECT MANAGEMENT by Alodia.docAlodia Fedora
This document provides details for planning a traditional Chinese wedding for clients Stacy and John. It includes a network diagram and calculations for delivering meals to families in need as Task 1. Task 2 outlines the scope, objectives, deliverables, terms of reference, milestones, and technical requirements for Stacy and John's wedding dinner for 100 tables to be held at Marina Bay Sands on Valentine's Day 2016. The technical requirements section specifies the items that must be included in the betrothal ceremony between the groom and bride's families as per traditional Chinese wedding customs.
Project Management Tools and Techniques (PERT- Project Evaluation and Review ...Zulfiquer Ahmed Amin
Project management involves planning, executing, and controlling projects to achieve specific goals within defined time and resource constraints. It utilizes tools like PERT (Program Evaluation and Review Technique) to estimate activity times, determine critical paths, and update schedules as projects progress. PERT uses three time estimates - optimistic, most likely, and pessimistic - to calculate expected activity times and identify float and slack. The critical path determines the minimum project duration, and crashing or fast tracking can potentially shorten schedules at increased cost. Project management tools help make projects more efficient and effective.
The document discusses various methods for estimating project times and costs, including top-down and bottom-up approaches. Top-down approaches include consensus methods, ratio methods, and the apportion method. Bottom-up approaches include the template method, parametric procedures applied to specific tasks, and detailed estimates for work packages. Estimates should be refined as risks and details become clearer, and contingency funds and time buffers can be added to offset uncertainty.
This document discusses various ways that projects can be terminated. It identifies four main types of project termination: extinction, addition, integration, and starvation. Extinction occurs when a project achieves or fails to achieve its goals. Addition involves a successful project becoming part of the parent organization. Integration incorporates a completed project into the client's operations. Starvation happens when funding is removed from an ongoing project. The document also outlines factors for terminating a project, procedures for termination, and recommendations for a final report.
The Basics of Project Networks. Download additional slides, videos, and resources at https://www.christiansonjs.com/
Signup for The Free-Range Technologist, a monthly newsletter filled with creative commons resources, useful apps, and lifehacks: https://mailchi.mp/f8f0219bc305/jscott
This document discusses project management and the Program Evaluation and Review Technique (PERT). It begins with introductions to project management and PERT. PERT is a statistical tool used to analyze tasks in a project and determine the minimum time needed. Key PERT concepts discussed include critical path, float, expected and normal times. The document provides a theoretical example and then applies PERT to an industrial example of assembling a switch board. Key steps of PERT execution are outlined. Questions about project management responsibilities are also addressed.
i just found this on the internet and i began to like it. It\'s our topic at school that\'s why i download it. I just want to share it. it\'s really a nice and creative presentation. It makes the topic more simple and clear.
This document discusses project, program, and portfolio management processes and checklists. It addresses how a project management office, program management office, and portfolio management office can help organizations answer key questions around costs, redundancy, cross-functional alignment, change impact, and leveraging existing investments. It provides an overview of processes and frameworks for program and portfolio management including workshops, risk management, governance, and realizing business benefits. Checklists are also included for project initiation, planning, execution, control, and closure.
This document discusses the key stages in project formulation and development, including feasibility analysis, design, and analysis. It outlines 10 types of feasibility that should be considered: technical, managerial, economic, financial, cultural, social, safety, political, environmental, and market. The stages of project formulation are described in detail, from initial feasibility analysis through to pre-investment analysis. Developing a detailed project design involves determining the purpose, activities, methods, roles, location, timeline, and presenting a formal proposal. A comprehensive feasibility study evaluates all relevant factors to determine if a project should proceed.
Matt Pipes
Progress Report #1
Date: March 15, 2015
Project Name: ADRC Storyboard Project
Project Sponsor: Kaylynn Stahlbusch
Project Manager: Matt Pipes
Project Status:
- 2 storyboards completed and approved by ADRC committee
- Photographs taken for remaining 6 storyboards
- Interviews scheduled and conducted with 3 organizations
- Timeline updated to reflect changes from committee meeting
- Project charter signed by all parties
Upcoming Milestones:
- Submit outlines for remaining 6 storyboards by March 20
- Complete drafts of next 2 storyboards by March 27
- Committee meeting on April 3
The document discusses defining the scope, priorities, and work breakdown structure (WBS) of a project in 5 steps: 1) defining the project scope, 2) establishing priorities, 3) creating a WBS, 4) integrating the WBS with the organizational structure, and 5) coding the WBS for an information system. It emphasizes that the scope, WBS, and organizational responsibilities should be clearly defined to plan, monitor, and control the project.
Network analysis techniques like CPM and PERT are useful for planning, scheduling, and controlling projects. They define activities, durations, and dependencies using a network diagram. The critical path is identified as the longest sequence of activities to complete the project. Monitoring progress against the network allows managers to focus on critical tasks and adjust resources if needed to minimize delays. While useful for large projects, activity definitions and time estimates require care to apply these techniques accurately.
This document discusses key concepts in project management including:
1) How to construct a project network diagram representing activities and their dependencies.
2) How to determine a project's critical path which indicates its minimum duration.
3) How to calculate activity floats which provide flexibility in scheduling.
The document discusses the development of a network diagram and critical path for building a house. It describes creating a network diagram by identifying relationships between activities and their dependencies. A table lists the activities needed to build the house along with their duration and dependencies. The network diagram is constructed and forward and backward passes are performed to calculate earliest and latest start and finish times. This allows identification of the critical path, which are the activities with zero slack that cannot be delayed.
Evaluation is an important part of any project that helps check progress, collect necessary information for final reports, and learn lessons for future projects. It involves reviewing project goals, collecting both quantitative and qualitative information through methods like questionnaires, interviews and feedback forms, analyzing the findings including identifying strengths, weaknesses, problems and evidence, and sharing results with relevant stakeholders. Developing and following an evaluation plan from the beginning of a project is crucial for ensuring success.
Are you thinking to craft a good PPT on project execution? Not to worry! We have come up with the project execution PowerPoint presentation slides that will help you build up your key program deliverables. Using our project management PPT designs, you can promote your business plan by specifying project quality management, work plan, etc. Furthermore, these control execution PPT graphics have been incorporated by highly qualified designers & with extensive research. Furthermore, our project development presentation illustrations cover all the related templates such as project progress summary, issues management, line chart, clustered column chart and many more. What more do you expect? In addition to this, execution plan PowerPoint designs can also be used for similar topics such as program documentation, execution plan, earned value management, risk analysis matrix, resource allocation, critical path method, product benefit realization, program charter, and responsibility assignment matrix. So without wasting your time, just grab our PowerPoint Visuals. Evaluate concepts with our Project Execution Powerpoint Presentation Slides. Be able to assess the depth behind it. https://bit.ly/3y8LoTy
The document outlines the key project management processes. It discusses the six phases of a project - initiation, planning, implementation, monitoring, adaptation and closure. It then describes the nine core management processes which include scope, schedule, budget, quality, team, stakeholder, information, risk and contract management. Each process involves planning, execution, monitoring and control activities to ensure successful project delivery.
Network Techniques for Project ManagementIshan Gandhi
Undertaking a Project and Looking to manage the Time and Resources? This presentation provides a complete guide on how to manage the time and resources of a project.
Objectives of Network Analysis for Project Management:
1. To minimize idle resources.
2. To minimize the total project cost.
3. To trade-off between time and cost of the project.
4. To minimize production delays, interruptions and conflicts.
5. To minimize the total project duration.
The document discusses critical path analysis and provides examples. It begins with definitions of key terms like activity, project, network. It describes the critical path method (CPM) and program evaluation and review technique (PERT) for project planning, scheduling and control. An example project is given with activities, durations and precedence relationships. The critical path is determined by calculating the earliest and latest start/finish times and identifying the activities with no total float.
https://mloey.github.io/courses/pmp2017.html
We will discuss the following: Project Management Processes, Initiating Process, Planning Process, Executing Process, Monitoring and controlling Process, Closing Process, Knowledge Areas, Project Management Process and Knowledge Area Mapping
The document outlines a 7 step project execution process (PEP) that includes project planning, engineering, procurement & logistics, installation, integration, start-up, and operation & handover. The project planning step involves presales meetings with the customer, internal project analysis, and a final sales meeting. Internal project analysis delivers documents to various groups covering figures, plans, quality, procurement, and more. The PEP is used to develop company-specific tools and techniques to implement projects, track them, identify bottlenecks, and ensure successful outcomes.
The Critical Path Method (CPM) is a technique for scheduling a set of project activities. It identifies the longest continuous chain of activities from start to finish required to complete the project on time. This longest chain is called the critical path. CPM calculates the earliest and latest times each activity can start and finish without making the project longer. Activities on the critical path have no scheduling flexibility, while other activities have "float" or slack time that can be used for scheduling flexibility. CPM is useful for determining the minimum project duration and identifying which activities must be carefully managed and monitored to avoid project delays.
Project evaluation and implementation notes and questionsAnirban Chakraborty
The notes on "Project Evaluation and Implementation" was prepared with help of Professor Kaushik Banerjee. He is the Honorable Professor at Brainware Business School at Saltlake, Kolkata.
The document defines key project management terms like critical path, total float, free float, and project float. It explains that the critical path is the longest sequence of activities that determines the shortest project duration, and float is the amount of time an activity can be delayed without impacting subsequent activities or the project end date. The document also provides an example critical path diagram and calculations for early start, late start, early finish, late finish, and float.
The document describes determining the critical path of a project using network analysis. It lists the steps as: 1) drawing the network diagram with activities and relationships, 2) calculating earliest and latest start/finish times, 3) determining total float for each activity, 4) identifying critical activities with zero total float, and 5) calculating the project duration. An example project is provided to demonstrate the process of identifying the critical path and activities with zero total float to determine the project completion time.
This document discusses project management and the critical path method technique. It defines project management as planning, directing, and controlling resources to meet time, cost, and technical constraints. The critical path method allows project managers to identify the critical activities and completion time of a project by determining the earliest and latest times of each activity. The document provides examples of constructing critical path networks and calculating key timing metrics to schedule and control a project.
i just found this on the internet and i began to like it. It\'s our topic at school that\'s why i download it. I just want to share it. it\'s really a nice and creative presentation. It makes the topic more simple and clear.
This document discusses project, program, and portfolio management processes and checklists. It addresses how a project management office, program management office, and portfolio management office can help organizations answer key questions around costs, redundancy, cross-functional alignment, change impact, and leveraging existing investments. It provides an overview of processes and frameworks for program and portfolio management including workshops, risk management, governance, and realizing business benefits. Checklists are also included for project initiation, planning, execution, control, and closure.
This document discusses the key stages in project formulation and development, including feasibility analysis, design, and analysis. It outlines 10 types of feasibility that should be considered: technical, managerial, economic, financial, cultural, social, safety, political, environmental, and market. The stages of project formulation are described in detail, from initial feasibility analysis through to pre-investment analysis. Developing a detailed project design involves determining the purpose, activities, methods, roles, location, timeline, and presenting a formal proposal. A comprehensive feasibility study evaluates all relevant factors to determine if a project should proceed.
Matt Pipes
Progress Report #1
Date: March 15, 2015
Project Name: ADRC Storyboard Project
Project Sponsor: Kaylynn Stahlbusch
Project Manager: Matt Pipes
Project Status:
- 2 storyboards completed and approved by ADRC committee
- Photographs taken for remaining 6 storyboards
- Interviews scheduled and conducted with 3 organizations
- Timeline updated to reflect changes from committee meeting
- Project charter signed by all parties
Upcoming Milestones:
- Submit outlines for remaining 6 storyboards by March 20
- Complete drafts of next 2 storyboards by March 27
- Committee meeting on April 3
The document discusses defining the scope, priorities, and work breakdown structure (WBS) of a project in 5 steps: 1) defining the project scope, 2) establishing priorities, 3) creating a WBS, 4) integrating the WBS with the organizational structure, and 5) coding the WBS for an information system. It emphasizes that the scope, WBS, and organizational responsibilities should be clearly defined to plan, monitor, and control the project.
Network analysis techniques like CPM and PERT are useful for planning, scheduling, and controlling projects. They define activities, durations, and dependencies using a network diagram. The critical path is identified as the longest sequence of activities to complete the project. Monitoring progress against the network allows managers to focus on critical tasks and adjust resources if needed to minimize delays. While useful for large projects, activity definitions and time estimates require care to apply these techniques accurately.
This document discusses key concepts in project management including:
1) How to construct a project network diagram representing activities and their dependencies.
2) How to determine a project's critical path which indicates its minimum duration.
3) How to calculate activity floats which provide flexibility in scheduling.
The document discusses the development of a network diagram and critical path for building a house. It describes creating a network diagram by identifying relationships between activities and their dependencies. A table lists the activities needed to build the house along with their duration and dependencies. The network diagram is constructed and forward and backward passes are performed to calculate earliest and latest start and finish times. This allows identification of the critical path, which are the activities with zero slack that cannot be delayed.
Evaluation is an important part of any project that helps check progress, collect necessary information for final reports, and learn lessons for future projects. It involves reviewing project goals, collecting both quantitative and qualitative information through methods like questionnaires, interviews and feedback forms, analyzing the findings including identifying strengths, weaknesses, problems and evidence, and sharing results with relevant stakeholders. Developing and following an evaluation plan from the beginning of a project is crucial for ensuring success.
Are you thinking to craft a good PPT on project execution? Not to worry! We have come up with the project execution PowerPoint presentation slides that will help you build up your key program deliverables. Using our project management PPT designs, you can promote your business plan by specifying project quality management, work plan, etc. Furthermore, these control execution PPT graphics have been incorporated by highly qualified designers & with extensive research. Furthermore, our project development presentation illustrations cover all the related templates such as project progress summary, issues management, line chart, clustered column chart and many more. What more do you expect? In addition to this, execution plan PowerPoint designs can also be used for similar topics such as program documentation, execution plan, earned value management, risk analysis matrix, resource allocation, critical path method, product benefit realization, program charter, and responsibility assignment matrix. So without wasting your time, just grab our PowerPoint Visuals. Evaluate concepts with our Project Execution Powerpoint Presentation Slides. Be able to assess the depth behind it. https://bit.ly/3y8LoTy
The document outlines the key project management processes. It discusses the six phases of a project - initiation, planning, implementation, monitoring, adaptation and closure. It then describes the nine core management processes which include scope, schedule, budget, quality, team, stakeholder, information, risk and contract management. Each process involves planning, execution, monitoring and control activities to ensure successful project delivery.
Network Techniques for Project ManagementIshan Gandhi
Undertaking a Project and Looking to manage the Time and Resources? This presentation provides a complete guide on how to manage the time and resources of a project.
Objectives of Network Analysis for Project Management:
1. To minimize idle resources.
2. To minimize the total project cost.
3. To trade-off between time and cost of the project.
4. To minimize production delays, interruptions and conflicts.
5. To minimize the total project duration.
The document discusses critical path analysis and provides examples. It begins with definitions of key terms like activity, project, network. It describes the critical path method (CPM) and program evaluation and review technique (PERT) for project planning, scheduling and control. An example project is given with activities, durations and precedence relationships. The critical path is determined by calculating the earliest and latest start/finish times and identifying the activities with no total float.
https://mloey.github.io/courses/pmp2017.html
We will discuss the following: Project Management Processes, Initiating Process, Planning Process, Executing Process, Monitoring and controlling Process, Closing Process, Knowledge Areas, Project Management Process and Knowledge Area Mapping
The document outlines a 7 step project execution process (PEP) that includes project planning, engineering, procurement & logistics, installation, integration, start-up, and operation & handover. The project planning step involves presales meetings with the customer, internal project analysis, and a final sales meeting. Internal project analysis delivers documents to various groups covering figures, plans, quality, procurement, and more. The PEP is used to develop company-specific tools and techniques to implement projects, track them, identify bottlenecks, and ensure successful outcomes.
The Critical Path Method (CPM) is a technique for scheduling a set of project activities. It identifies the longest continuous chain of activities from start to finish required to complete the project on time. This longest chain is called the critical path. CPM calculates the earliest and latest times each activity can start and finish without making the project longer. Activities on the critical path have no scheduling flexibility, while other activities have "float" or slack time that can be used for scheduling flexibility. CPM is useful for determining the minimum project duration and identifying which activities must be carefully managed and monitored to avoid project delays.
Project evaluation and implementation notes and questionsAnirban Chakraborty
The notes on "Project Evaluation and Implementation" was prepared with help of Professor Kaushik Banerjee. He is the Honorable Professor at Brainware Business School at Saltlake, Kolkata.
The document defines key project management terms like critical path, total float, free float, and project float. It explains that the critical path is the longest sequence of activities that determines the shortest project duration, and float is the amount of time an activity can be delayed without impacting subsequent activities or the project end date. The document also provides an example critical path diagram and calculations for early start, late start, early finish, late finish, and float.
The document describes determining the critical path of a project using network analysis. It lists the steps as: 1) drawing the network diagram with activities and relationships, 2) calculating earliest and latest start/finish times, 3) determining total float for each activity, 4) identifying critical activities with zero total float, and 5) calculating the project duration. An example project is provided to demonstrate the process of identifying the critical path and activities with zero total float to determine the project completion time.
This document discusses project management and the critical path method technique. It defines project management as planning, directing, and controlling resources to meet time, cost, and technical constraints. The critical path method allows project managers to identify the critical activities and completion time of a project by determining the earliest and latest times of each activity. The document provides examples of constructing critical path networks and calculating key timing metrics to schedule and control a project.
Critical Path Method/ Program Evaluation and Review TechniqueJomari Gingo Selibio
The document discusses the Critical Path Method (CPM) and Program Evaluation and Review Technique (PERT) for project planning and scheduling. CPM assumes deterministic activity durations while PERT uses three time estimates for probabilistic durations. The key steps are defining activities, creating a network diagram showing dependencies, and calculating earliest and latest start/finish times to identify the critical path and slack. Two examples demonstrate applying these concepts to sample projects by specifying activities, drawing the network, and constructing the time schedule table.
The document provides an overview and examples of PERT/CPM (Program/Project Evaluation and Review Technique/Critical Path Method). It begins with an agenda and motivation for using PERT/CPM for project management. It then provides examples using a network diagram for a project at General Foundry, including calculating expected activity times and variances. It discusses determining the critical path and calculating the probability of project completion times. Finally, it demonstrates calculating early starts, early finishes, late starts, and late finishes for activities in a CPM network.
Project management techniques allow projects to be planned, monitored, and controlled effectively. The document discusses key project management steps including:
1. Representing the project as a network diagram with nodes and branches to show task dependencies and durations.
2. Using the Critical Path Method (CPM) to calculate earliest and latest start/finish times to determine the critical path and project completion time.
3. Conducting sensitivity analysis using the Program Evaluation and Review Technique (PERT) which considers probabilistic activity times to estimate mean times and variances for predicting project completion probabilities.
The document describes various project management tools and techniques including: work breakdown structures, network diagrams, critical path analysis, Gantt charts, resource planning, procurement planning, cash flow statements, quality, risk, and communication plans. It provides examples and explanations of how to develop and use these tools to plan, schedule, and manage a project. Key terms like floats, early and late start/finish dates are defined. Methods for accelerating a project schedule through crashing or fast tracking are also outlined.
The document describes a project network for constructing a yacht. It includes 8 activities with expected times. The critical path through the network is activities 1-2, 2-3, 3-5, and 5-7, with an expected time of 28 weeks and standard deviation of 1.86 weeks. There is a 50% probability of completing the project in 28 weeks or less.
CPM and PERT are project management techniques that use network diagrams to analyze the tasks, schedule, and dependencies of a project. They determine the critical path, which is the longest sequence of tasks that determines the minimum time to complete the project. PERT further accounts for uncertainty in task durations by using three time estimates to calculate the expected duration and variance for each task. This allows calculating the probability of completing the project by a given date.
This document provides an overview of the Project Evaluation and Review Technique (PERT) and Critical Path Method (CPM) for project management. It defines key terms like activities, events, and network diagrams. It explains how to construct a network diagram and calculate the critical path, expected activity times, total float, and free float. An example project is used to demonstrate how to perform the calculations to determine the critical activities, expected completion time, and probability of finishing within given timeframes when activity times are estimated as PERT distributions rather than fixed durations.
Software engineering ppt on pert and gantt chartsGovadaDhana
This document discusses project scheduling for project management. It covers identifying relationships between activities, using network diagrams to show these relationships, determining critical paths and slack times, and using Gantt charts to display the project schedule. Network diagrams can be either activity-on-arrow or activity-on-node formats. The critical path is the longest path through the network that determines the earliest project completion date. Slack times show the flexibility in scheduling each activity. Gantt charts provide a graphical view of the project schedule.
1LocationFixed CostsVariable Costs per unitA=BB=CC=DA$85,000260006.docxdrennanmicah
1LocationFixed CostsVariable Costs per unitA=BB=CC=DA$85,000260006666.66666666677500B$55,0007C$35,00010D$65,0006average weekly demand50unitsstandard deviation 8units95%1.645Safety Stock 13unitsTherefore Target inventory level= lead time demand + safety stockLead time2WeeksLead time demand100Target inventory level=113
2Activity a=Optimistic Time Estimate(weeks)m=Most likely Time Estimates (weeks)b=Pessimistic Time Estimates(weeks)Immediate predecessor(s)T€=(a+4m+b)/6Var=((b-a)/6)^2Std.devA369none611B357A50.44444444440.6666666667C4712A7.33333333331.77777777781.3333333333D4810B7.666666666711E51016C10.16666666673.36111111111.8333333333F345D,E40.11111111110.3333333333G369D.E611H5610F6.50.69444444440.8333333333I5811G811J333H,I300ABDFHJ32.17ABDGIJ35.67ACEFHJ37.00ACEGIJ40.50CriticalStd.dev6.17probability of completing the project in 44 weeks44Z0.57probability0.71
3Forecast Ft (given a)Abs. ErrorSquare Error2-period moving averageAbs. ErrorSquare ErrorActuals (At)0.2exponential smoothing a= 0.2a= 0.2115172416.51.52.2521816.601.41.96162431416.882.888.2944151141616.300.3040.09241614.51.52.2551316.243.243210.5183462414.51.52.2561615.590.405440.1643815936160010.2325.037.5011.75exponential smoothing a= 0.22-period moving averageMSE4.17161.9583MAD1.70541.2500
1LocationFixed CostsVariable Costs per unitA=BB=CC=DA$85,000260006666.66666666677500B$55,0007C$35,00010D$65,0006average weekly demand50unitsstandard deviation 8units95%1.645Safety Stock 13unitsTherefore Target inventory level= lead time demand + safety stockLead time2WeeksLead time demand100Target inventory level=113
2Activity a=Optimistic Time Estimate(weeks)m=Most likely Time Estimates (weeks)b=Pessimistic Time Estimates(weeks)Immediate predecessor(s)T€=(a+4m+b)/6Var=((b-a)/6)^2Std.devA369none611B357A50.44444444440.6666666667C4712A7.33333333331.77777777781.3333333333D4810B7.666666666711E51016C10.16666666673.36111111111.8333333333F345D,E40.11111111110.3333333333G369D.E611H5610F6.50.69444444440.8333333333I5811G811J333H,I300ABDFHJ32.17ABDGIJ35.67ACEFHJ37.00ACEGIJ40.50CriticalStd.dev6.17probability of completing the project in 44 weeks44Z0.57probability0.71
3Forecast Ft (given a)Abs. ErrorSquare Error2-period moving averageAbs. ErrorSquare ErrorActuals (At)0.2exponential smoothing a= 0.2a= 0.2115172416.51.52.2521816.601.41.96162431416.882.888.2944151141616.300.3040.09241614.51.52.2551316.243.243210.5183462414.51.52.2561615.590.405440.1643815936160010.2325.037.5011.75exponential smoothing a= 0.22-period moving averageMSE4.17161.9583MAD1.70541.2500
Project Management
(Chapter 16)
Production & Operations Management
INFO 335-71
Week 4
Learning Objectives
Describe project management objectives
Describe the project life cycle
Diagram networks of project activities
Estimate the completion time of a project
Compute the probability of completing a project
by a specific time
Determine how to reduce the length of a project
effectively
Describe the critical chain approach to proje.
The document discusses project scheduling techniques like the Critical Path Method (CPM) and Program Evaluation and Review Technique (PERT). It explains how a network diagram shows the logical dependencies and sequence of tasks in a project. Calculating earliest and latest start/finish times helps identify the critical path and float for activities. PERT is useful for projects with uncertain durations, using 3 time estimates. The critical path determines the minimum project duration, and monitoring it helps complete the project on schedule.
The document discusses project scheduling techniques PERT and CPM. It provides an example of using these methods to schedule the building of an elaborate parade float. Key activities, durations, and dependencies are laid out. Earliest and latest start/finish times are calculated. The critical path is identified as several critical activities that must be completed on schedule. The project completion time is estimated at 18 days based on the critical path. Uncertain activity times and calculating the probability of on-time project completion are also discussed.
The document discusses project scheduling techniques like PERT and CPM. It provides an example of using these methods to schedule the building of an elaborate parade float. Key activities, durations, and dependencies are laid out. Calculations are shown to determine the critical path, earliest and latest start/finish times, and project completion time. For activities with uncertain durations, a three-time estimate approach is described to model duration as a distribution and calculate the probability of on-time completion.
The document discusses the importance of proper planning for project success. It describes key elements of the planning phase including creating a project scope statement, communication plan, work breakdown structure (WBS), Gantt chart, and network diagram. Conducting a critical path analysis to determine project duration and identifying required resources are also covered. The planning phase is emphasized as the time when the greatest value can be added to a project by minimizing future costs and changes.
Scheduling Problems Complete the following problems covering pro.docxkenjordan97598
Scheduling Problems
Complete the following problems covering project scheduling methods.
1. Put the following project management activities in order, by defining immediate predecessors by placing one or more letters in the column labeled “Immediate predecessor”. One of them has been done for you.
Activity
Immediate predecessor
a) Calculate durations along all project paths
b) Calculate Te
c) Define immediate predecessors
h
d) Develop WBS
e) Draw a network diagram
f) Estimate task durations
g) Find the critical paths
h) Generate a complete, detailed task list
i) Identify project objectives
j) Write project scope statement
2. Draw network diagram for the following list of activities and their immediate predecessors. Draw start and end nodes.
Activity
Immediate predecessor
A
--
B
--
C
A, B
D
C
E
C
F
D
G
E
H
F, G
I
C
3. Given the following detailed task list, draw a network diagram, including starting and ending nodes.
Task
Immediate predecessor
A
--
B
A
C
A
D
B
E
C
F
D, E
4. Identify all paths and their summed durations from the following detailed task list.
Task
Estimated duration
Immediate Predecessors
A-define info req
2 wks
-
B- analyze existing infrastruc
1.5 wks
-
C-define network req
1 wk.
B
D-design database
3 wks.
A
E-design network
2.5 wks.
C
F-implement
7 wks.
D, E
G-test
4 wks.
F
H-document database
1 wk.
D
I-user documentation
2 wks.
C
5. What is/are the critical path(s) amongst the following paths through a project?
Path 1: A-B-D = 8.5 mos.
Path 2: B-C-I-J = 10 mos.
Path 3: A-B-E = 5.5 mos.
Path 4: B-F-G-J = 12 mos.
6. What is the shortest possible completion time for a project, given the following paths through a project from start to finish?
A-B-D-F = 14 weeks
A-G = 22 weeks
A-C-H-I-J = 19 weeks
7. Identify all non-critical activities in the project with the following paths:
A-B-C = 22 weeks
B-J-K = 18 weeks
A-B-D-E = 22 weeks
A-B-I = 14 weeks
B-L = 20 weeks
8. Identify all non-critical activities for a project with the following paths
A-B-C = 10 days
A-B-D = 8 days
A-B-E-F = 8 days
A-B-G = 9 days
9. Develop an early start early finish (ES/EF) schedule for the following project.
Activity
Duration
Predecessor
ES
EF
A
Develop specifications
2 wks
B
Design
4
A
C
Documentation
5
A
D
Implementation
8
B, C
E
Testing
4
D
10. Develop an early start, early finish (ES/EF) schedule for the following project.
Activity
Duration
Predecessor
ES
EF
A
Develop specifications
6 wks
B
Design
5 wks
A
C
User Documentation
7 wks
A
D
Implementation
11 wks
B, C
E
Acceptance Testing
8 wks
D
F
Develop marketing literature
8 wks
A
G
Technical documentation
7 wks
B, C, F
PAGE
3
Example Scheduling Problem 1 v3
Before we can schedule a project, we will need to have done the following, in order:
- Identify project objectives
- Write project scope statement
- Develop a WBS
- Generate a co.
The critical path method (CPM) network for the given project is constructed following these steps:
1) Determine the earliest start time (ES) using forward pass
2) Determine the latest completion time (LC) using backward pass
3) Identify the critical path as the longest path where ES = LC
The critical path is identified as activities B, D, H, K, N with a total project duration of 25 months. Non-critical activities are identified by having total float greater than zero.
This document discusses various concepts related to software project management including project scheduling, critical path method (CPM), precedence diagram method (PDM), critical path, and Gantt charts. It defines key terms like activities, earliest start and finish dates, forward and backward pass, leads and lags. CPM is used to identify the critical path of a project which is the longest sequence of dependent tasks. PDM visually depicts tasks and their dependencies with arrows. Gantt charts show activities along a time scale to track project progress.
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ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...PECB
Denis is a dynamic and results-driven Chief Information Officer (CIO) with a distinguished career spanning information systems analysis and technical project management. With a proven track record of spearheading the design and delivery of cutting-edge Information Management solutions, he has consistently elevated business operations, streamlined reporting functions, and maximized process efficiency.
Certified as an ISO/IEC 27001: Information Security Management Systems (ISMS) Lead Implementer, Data Protection Officer, and Cyber Risks Analyst, Denis brings a heightened focus on data security, privacy, and cyber resilience to every endeavor.
His expertise extends across a diverse spectrum of reporting, database, and web development applications, underpinned by an exceptional grasp of data storage and virtualization technologies. His proficiency in application testing, database administration, and data cleansing ensures seamless execution of complex projects.
What sets Denis apart is his comprehensive understanding of Business and Systems Analysis technologies, honed through involvement in all phases of the Software Development Lifecycle (SDLC). From meticulous requirements gathering to precise analysis, innovative design, rigorous development, thorough testing, and successful implementation, he has consistently delivered exceptional results.
Throughout his career, he has taken on multifaceted roles, from leading technical project management teams to owning solutions that drive operational excellence. His conscientious and proactive approach is unwavering, whether he is working independently or collaboratively within a team. His ability to connect with colleagues on a personal level underscores his commitment to fostering a harmonious and productive workplace environment.
Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
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1. Project Networking
Operations Management
MBA, Fareast International University, Dhaka, Bangladesh
Basics of Project Network Math Solution
Considerations in Drawing Project Network Diagram
During Forward Progress
ES time of the first activity will be 0.
EF time of an activity will be considered as ES time of next activity (EF ES)
In case of 2 or more EF, the highest EF will be considered as ES
During Backward Progress
Ending EF, ES will be considered as ending LS, LF as it is.
LS time of an activity will be considered as LF time of next activity (LS LF)
In case of 2 or more LS, the lowest LS will be considered as LF of burst activity.
Critical Path Identification
The critical path is the path(s) of project network in which all the activities have zero (0) slack time
Float/Slack Time Calculation
In project management, Float or slack is the amount of time that a task in a project network can be
delayed without delaying subsequent tasks.
Slack/float time, SL= LS-ES or (LS-EF)
Note that,
At starting point, ES, EF and LS, LF will be same values
2. Math 01
Activity Description Immediate Predecessor Time (Weeks)
A Meet With board - 7
B Hire Coaches A 3
C Reserve Pool A 2
D Announce Program A 1
E Meet with coaches B, D 3
F Order team Members C 4
G Visiting the Project E, F 5
Queries:
a. Draw a project network.
b. Find out ES, EF and LS, LF.
c. Find out the critical path and expected project completion time.
d. Find out the slack time.
3. Solution to the Math Problem 01
Here Given,
Activities Duration
A-----------------7
B-----------------3
C-----------------2
D----------------1
E--------------- -3
F--------------- -4
G----------------5
Here in Network Diagram,
ES=Earliest Start Time.
EF=Earliest Finish Time.
LS=Latest Start Time.
LF=Latest Finish Time.
ES, EF
(7,7+3=10)
LS, LF ES, EF
(10-3=7,10) (10,10+3=13)
ES, EF
ES, EF ES, EF (13,13+5=18)
(0,0+7=7) (7,7+1=8) LS, LF
(13-3=10,13)
ES, EF
LS, LF LS, LF (9,9+4=13) LS, LF
(7-7=0,7) (10-1=9,10) (13, 18)
ES, EF
(7,7+2=9) LS, LF
(13-4=9,13)
LS, LF
(9-2=7,9)
Critical Path & Expected Project Completion Time Calculation
Different Path Completion time(week)
A-B-E-G= 7+3+3+5=18 weeks
A-D-E-G= 7+1+3+5=16 weeks
A-C-F-G= 7+2+4+5=18 weeks
So, the critical paths are A-B-E-G and A-C-F-G as all of activities of these paths has zero slack time and, in both
paths, the expected project completion time is 18 weeks.
Float/Slack Time Calculation
Activities Slack time (LS – ES)
A --------------------- 0-0= 0
B --------------------- 7-7= 0
C --------------------- 7-7= 0
D --------------------- 9-7= 2
E --------------------- 10-10= 0
F --------------------- 9-9= 0
G -------------------- 13-13= 0
A
B
D
C
E
F
G
4. Math 02
Activity Description Immediate Predecessor Time (Weeks)
A Meet With board - 1
B Hire Coaches A 2
C Reserve Pool A 5
D Announce Program B, C 3
E Meet with coaches B 4
F Order team Members C 1
G Visiting the Project D 3
H Plan first Practice E, G, F 1
Queries:
a. Draw a project network.
b. Find out ES, EF and LS, LF.
c. Find out the critical path and expected project completion time.
d. Find out the slack time.
5. Solution to the Math Problem 02
Here Given,
Activities Duration
A ------------------ 1
B ------------------ 2
C ------------------ 5
D ------------------ 3
E ------------------ 4
F ------------------ 1
G ----------------- 3
H ----------------- 1
Here in Network Diagram,
ES=Earliest Start Time.
EF=Earliest Finish Time.
LS=Latest Start Time.
LF=Latest Finish Time.
ES, EF ES, EF
(1, 1+2=3) (3, 3+4=7)
ES, EF LS, LF LS, LF
(0, 0+1=1) (6-2=4, 6) ES, EF (12-4=8, 12) ES, EF
(6, 6+3=9) (9, 9+3=12) ES, EF
(12, 12+1=13)
LS, LF ES, EF LS, LF LS, LF
(1-1=0, 1) (1, 1+5=6) (9-3=6, 9) ES, EF (12-3= 9, 12) LS, LF
(6, 6+1=7) (12,13)
LS, LF LS, LF
(6-5=1, 6) (12-1=11, 12)
Critical Path & Expected Project Completion Time Calculation
Different Path Completion time(week)
A-B-E-H=1+2+4+1=8 weeks
A-B-D-G-H=1+2+3+3+1=10 weeks
A-C-D-G-H=1+5+3+3+1=13 weeks
A-C-F-H=1+5+1+1=8 weeks
So, the critical path is A-C-D-G-H as all of activities of this path has zero slack time and, in this path, the expected
project completion time is 13 weeks.
Float/Slack Time Calculation
Activities Slack (LS – ES)
A ----------------------0-0= 0
B ----------------------4-1= 3
C ----------------------1-1= 0
D ----------------------6-6= 0
E -----------------------8-3= 5
F ----------------------11-6= 5
G ----------------------9-9= 0
H -----------------------12-12= 0
A
B
D
C
E
G
F
H
6. Math 03
Activity Description Immediate Predecessor Time (Weeks)
A Meet With board - 3
B Hire Coaches A 2
C Reserve Pool A 1
D Announce Program A 5
E Meet with coaches B, D 1
F Order team Members C 2
G Visiting the Project E, F 7
Queries:
a. Draw a project network.
b. Find out ES, EF and LS, LF.
c. Find out the critical path and expected project completion time.
d. Find out the slack time.
7. Solution to the Math Problem 03
Here Given,
Activities Duration
A ------------------ 3
B ------------------ 2
C ------------------ 1
D ------------------ 5
E ------------------ 1
F ------------------ 2
G ----------------- 7
Here in Network Diagram,
ES=Earliest Start Time.
EF=Earliest Finish Time.
LS=Latest Start Time.
LF=Latest Finish Time.
ES, EF ES, EF
(3, 3+2= 5) (8, 8+1= 9)
LS, LF LS, LF
(8-2= 6, 8) (9-1= 8, 9) ES, EF
ES, EF (9, 9+7= 16)
(0, 0+3= 3) ES, EF
(3, 3+5= 8)
LS, LF
LS, LF (9, 16)
(3-3= 0, 3) LS, LF ES, EF
(8-5= 3, 8) (4, 4+2= 6)
ES, EF
(3, 3+1= 4)
LS, LF
(9-2= 7, 9)
LS, LF
(7-1= 6, 7)
Critical Path & Expected Project Completion Time Calculation
Different Path Completion time(week)
A-B-E-G=3+2+1+7= 13 weeks
A-D-E-G=3+5+1+7= 16 weeks
A-C-F-G=3+1+2+7= 13 weeks
So, the critical path is A-D-E-G as all of activities of this path has zero slack time and, in this path, the expected
project completion time is 16 weeks.
Float/Slack Time Calculation
Activities Slack (LS – ES)
A ---------------------- 0-0= 0
B ---------------------- 6-3= 3
C ---------------------- 6-3= 3
D ---------------------- 3-3= 0
E ----------------------- 8-8= 0
F ----------------------- 7-4= 3
G ----------------------- 9-9= 0
G
B
C
D
E
F
A
8. Math 04
Activity Description Immediate Predecessor Time (Weeks)
A Meet With board - 3
B Hire Coaches A 2
C Reserve Pool A 7
D Announce Program A 1
E Meet with coaches D, C 11
F Order team Members B 9
G Visiting the Project D 1
H Plan first Practice E, F, G 2
Queries:
a. Draw a project network.
b. Find out ES, EF and LS, LF.
c. Find out the critical path and expected project completion time.
d. Find out the slack time.
9. Solution to the Math Problem 04
Here Given,
Activities Duration
A ------------------ 3
B ------------------ 2
C ------------------ 7
D ------------------ 1
E ------------------ 11
F ------------------ 9
G ----------------- 1
H ------------------2 Here in Network Diagram,
ES=Earliest Start Time.
EF=Earliest Finish Time.
LS=Latest Start Time.
LF=Latest Finish Time.
ES, EF ES, EF
(3, 3+2= 5) (5, 5+9= 14)
LS, LF
LS, LF (21-9= 12, 21)
(12-2= 10, 12)
ES, EF ES, EF ES, EF ES, EF
(0, 0+3= 3) (3, 3+1= 4) (4, 4+1= 5) (21, 21+2= 23)
LS, LF LS, LF LS, LF LS, LF
(3-3= 0, 3) (10-1= 9, 10) (21-1= 20, 21) (21, 23)
ES, EF ES, EF
(3, 3+7= 10) (10, 10+11= 21)
LS, LF LS, LF
(10-7= 3, 10) (21-11= 10, 21)
Critical Path & Expected Project Completion Time Calculation
Different Path Completion time(week)
A-B-F-H=3+2+9+2= 16 weeks
A-D-G-H=3+1+1+2=7 weeks
A-D-E-H=3+1+11+2=17 weeks
A-C-E-H=3+7+11+2= 23 weeks
So, the critical path is A-C-E-H as all of activities of this path has zero slack time and, in this path, the expected
project completion time is 23 weeks.
Float/Slack Time Calculation
Activities Slack (LS – ES)
A 0-0= 0
B 10-3= 7
C 3-3= 0
D 9-3= 6
E 10-10 = 0
F 12-5= 7
G 20-4= 16
H 21-21= 0
A
B
F
H
C E
GD