An Approach for Project Scheduling Using PERT/CPM and Petri Nets (PNs) ToolsIJMER
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International Journal of Modern Engineering Research (IJMER) is Peer reviewed, online Journal. It serves as an international archival forum of scholarly research related to engineering and science education.
The document discusses network analysis techniques CPM and PERT. It outlines key benefits of CPM including scheduling, monitoring, and controlling projects while minimizing costs. Limitations of CPM include uncertainty in activity time estimates and inability to dynamically control changes. PERT differs from CPM in using probabilistic rather than deterministic estimates, with activity durations represented as ranges and probabilities rather than single values. Both techniques use network diagrams and share steps for planning activity schedules.
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 Program Evaluation and Review Technique (PERT) which is a management tool used to define and integrate project events. PERT uses optimistic, pessimistic, and most likely time estimates to calculate the expected time for tasks. It is event-oriented and models the logical order and dependencies of activities. Variance and standard deviation are also calculated to measure uncertainty. An example project is provided showing how to determine activity times, critical paths, and the probability of meeting a deadline.
This document provides instructions for calculating key Project Management metrics like the Program Evaluation and Review Technique (PERT) using both manual calculations and Microsoft Excel. It outlines 5 steps to perform PERT calculations manually: 1) define tasks, 2) organize tasks in logical order, 3) generate estimates, 4) determine earliest and latest dates, 5) determine probability of meeting dates. It then demonstrates how to set up a spreadsheet to automate the calculations and determine completion probabilities for different dates. Key lessons include that all plans are estimates and scope changes require updated estimates.
Project management techniques like PERT and CPM are used to plan, schedule, and control projects. PERT was developed for the Polaris missile program to minimize time, while CPM was developed by DuPont to optimize cost and time tradeoffs. Both methods use network diagrams to visually display tasks and their relationships. They are used to estimate duration, identify critical paths, and determine slack. PERT additionally accounts for uncertainty in durations using three time estimates.
This document discusses Gantt charts and PERT charts, which are project management tools used to organize tasks, resources, and timelines. It provides information on how to create a basic Gantt chart by listing tasks, durations, and dependencies. PERT charts take a similar approach but use nodes and arrows to represent tasks and dependencies. The document also discusses key terms like critical path, slack time, and dummy tasks. It provides examples of using Gantt and PERT charts to plan a construction project and family routine. Overall, the document introduces the basic concepts and components of Gantt and PERT charts for project scheduling and management.
The document discusses project planning techniques like PERT and CPM. It explains that PERT and CPM help managers plan, schedule, and control complex projects with limited resources. Both techniques use network diagrams to visually represent project activities and their relationships. The key difference is that PERT uses three time estimates for activities and probability to estimate completion times, while CPM uses a single time estimate. The document then provides examples of network diagrams for construction projects and explains how to identify the critical path.
PERT Ghant chart and bench marking with application to nursingHariasha
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The document discusses Gantt charts, which are bar charts used to illustrate project schedules. A Gantt chart shows the tasks or activities within a project along a timeline, making relationships between activities and time periods visual. The document provides examples of simple Gantt charts and outlines the steps to create one, including determining activities and durations, evaluating dependencies, and using forward or backward scheduling to populate the chart. Both advantages and limitations of Gantt charts are discussed. Alternatives to Gantt charts for project scheduling like PERT and CPM are also mentioned.
In this presentation, Ricardo explains what is the analysis Pert and how it should be used. He shows the benefits and explains how to calculate the estimates.
Program (Project) Evaluation and Review Technique (PERT): is a project management tool used to schedule, organize, and coordinate tasks within a project.
The document discusses project management techniques like the critical path method (CPM) and program evaluation and review technique (PERT) which are used to schedule projects by breaking them into tasks, estimating durations, and identifying the critical path of activities that determine the overall project duration. CPM and PERT involve creating a network diagram of tasks and their dependencies to determine the earliest and latest times that tasks can start and finish without extending the project completion date.
The document discusses network analysis techniques used for project planning and management. It covers key concepts like work breakdown structure, network diagrams, critical path method (CPM), program evaluation and review technique (PERT), activity times, event relationships, slack, floats, crashing, and normal vs crash schedules. The document contains examples of network diagrams and questions related to calculating activity times, identifying critical paths, and crashing project schedules.
PERT and CPM are project management tools used to schedule, organize, and coordinate tasks within a project. PERT was developed for uncertain schedules and uses three time estimates, while CPM uses known times. Both tools involve identifying tasks, estimating durations, and displaying the tasks in a network diagram to identify the critical path of interdependent activities. This helps project managers monitor progress and ensure projects are completed on time, within budget, and to quality standards.
1) PERT and CPM are network analysis techniques used to schedule, coordinate, and control complex projects. They analyze the tasks involved in a project and their interdependencies to estimate project duration and identify the critical path.
2) The document discusses key aspects of PERT and CPM including activity networks, time estimates, critical path identification, and slack calculations. It also provides an example of applying PERT/CPM to schedule a construction project.
3) PERT and CPM both help answer questions about project completion date, start/finish times of tasks, critical tasks, and float or slack times. The example project demonstrates how its network diagram can be used to determine a 44-week schedule with identified
The Gantt chart is a bar chart that illustrates the timing of project activities and their relationships. It displays activities on one chart against time to provide a simple representation of project scheduling. Gantt charts are useful for planning and overview but have limitations like difficulty updating and lack of cost/resource data. Alternatives for project planning include PERT, WBS, critical path and resource leveling.
The document provides an overview of Program Evaluation Review Technique (PERT). It defines PERT and its purpose, compares it to Critical Path Method (CPM), discusses its historical background, and outlines the key steps and terminologies used in PERT including how to create a PERT diagram and calculate activity durations, critical paths, and uncertainties.
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 standard deviation is the square root of the variance, which is 1.465 weeks.
Z = (Target Time - Expected Time) / Standard Deviation
= (42 - 40) / 1.465
= 1.37
Looking up 1.37 in the standard normal distribution table gives a probability of around 0.085 or 8.5% that the project will take longer than 42 days.
PERT (Program Evaluation and Review Technique) is a project management tool developed by the US Navy to analyze complex projects by breaking them into tasks, estimating activity times, and identifying the critical path of tasks. It facilitates decision making by determining the earliest and latest start/finish times and calculating slack time to reduce project time and costs. PERT uses a network diagram and beta distribution to model activity times and account for uncertainty in complex, non-routine projects.
The document discusses three examples of project managers and their responsibilities on different projects:
1) Construction of a retail development with 26 units and a supermarket. Responsible for coordinating contractors to ensure on-time and on-budget completion.
2) Directing trials of a new analgesic drug. Responsible for designing experiments and ensuring proper scientific and legal procedures are followed.
3) Introducing multimedia resources at a teacher training college in New Delhi. Responsible for purchasing and developing resources as well as encouraging acceptance by lecturers and students.
The document discusses network analysis techniques like CPM and PERT that are used for planning, managing, and controlling projects. CPM uses deterministic time estimates for activities shown in an activity-on-node network, while PERT uses probabilistic time estimates for activities shown in an activity-on-arrow network. Both techniques calculate earliest and latest start/finish times to identify the critical path and slack times. The document provides examples of applying CPM and PERT to model the activities and durations for different crop field operations, and identifies the minimum time required to complete each project.
Network analysis techniques such as critical path method (CPM) and program evaluation and review technique (PERT) can be used to plan, manage, and control projects. CPM involves identifying all activities, their durations, and their logical sequence or precedence relationships using a network diagram of nodes and arrows. It allows determining the critical path that dictates the minimum project duration and identifying any activities that could delay the project if they slip. PERT extends CPM by using three time estimates per activity to model the uncertainty in activity durations through probability distributions.
This document discusses project management techniques CPM and PERT. It begins by defining a project and project management. It then discusses network planning methods including CPM and PERT. The four steps to managing a project with these methods are described: describing the project, diagramming the network, estimating time of completion, and monitoring progress. Key concepts like activities, precedence relationships, and events are also defined. The document goes on to provide details on CPM and PERT, including estimating time, determining critical paths, and differences between the two methods.
The document discusses project planning techniques like PERT and CPM. It explains that PERT and CPM help managers plan, schedule, and control complex projects with limited resources. Both techniques use network diagrams to visually represent project activities and their relationships. The key difference is that PERT uses three time estimates for activities and probability to estimate completion times, while CPM uses a single time estimate. The document then provides examples of network diagrams for construction projects and explains how to identify the critical path.
PERT Ghant chart and bench marking with application to nursingHariasha
Ìý
The document discusses Gantt charts, which are bar charts used to illustrate project schedules. A Gantt chart shows the tasks or activities within a project along a timeline, making relationships between activities and time periods visual. The document provides examples of simple Gantt charts and outlines the steps to create one, including determining activities and durations, evaluating dependencies, and using forward or backward scheduling to populate the chart. Both advantages and limitations of Gantt charts are discussed. Alternatives to Gantt charts for project scheduling like PERT and CPM are also mentioned.
In this presentation, Ricardo explains what is the analysis Pert and how it should be used. He shows the benefits and explains how to calculate the estimates.
Program (Project) Evaluation and Review Technique (PERT): is a project management tool used to schedule, organize, and coordinate tasks within a project.
The document discusses project management techniques like the critical path method (CPM) and program evaluation and review technique (PERT) which are used to schedule projects by breaking them into tasks, estimating durations, and identifying the critical path of activities that determine the overall project duration. CPM and PERT involve creating a network diagram of tasks and their dependencies to determine the earliest and latest times that tasks can start and finish without extending the project completion date.
The document discusses network analysis techniques used for project planning and management. It covers key concepts like work breakdown structure, network diagrams, critical path method (CPM), program evaluation and review technique (PERT), activity times, event relationships, slack, floats, crashing, and normal vs crash schedules. The document contains examples of network diagrams and questions related to calculating activity times, identifying critical paths, and crashing project schedules.
PERT and CPM are project management tools used to schedule, organize, and coordinate tasks within a project. PERT was developed for uncertain schedules and uses three time estimates, while CPM uses known times. Both tools involve identifying tasks, estimating durations, and displaying the tasks in a network diagram to identify the critical path of interdependent activities. This helps project managers monitor progress and ensure projects are completed on time, within budget, and to quality standards.
1) PERT and CPM are network analysis techniques used to schedule, coordinate, and control complex projects. They analyze the tasks involved in a project and their interdependencies to estimate project duration and identify the critical path.
2) The document discusses key aspects of PERT and CPM including activity networks, time estimates, critical path identification, and slack calculations. It also provides an example of applying PERT/CPM to schedule a construction project.
3) PERT and CPM both help answer questions about project completion date, start/finish times of tasks, critical tasks, and float or slack times. The example project demonstrates how its network diagram can be used to determine a 44-week schedule with identified
The Gantt chart is a bar chart that illustrates the timing of project activities and their relationships. It displays activities on one chart against time to provide a simple representation of project scheduling. Gantt charts are useful for planning and overview but have limitations like difficulty updating and lack of cost/resource data. Alternatives for project planning include PERT, WBS, critical path and resource leveling.
The document provides an overview of Program Evaluation Review Technique (PERT). It defines PERT and its purpose, compares it to Critical Path Method (CPM), discusses its historical background, and outlines the key steps and terminologies used in PERT including how to create a PERT diagram and calculate activity durations, critical paths, and uncertainties.
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 standard deviation is the square root of the variance, which is 1.465 weeks.
Z = (Target Time - Expected Time) / Standard Deviation
= (42 - 40) / 1.465
= 1.37
Looking up 1.37 in the standard normal distribution table gives a probability of around 0.085 or 8.5% that the project will take longer than 42 days.
PERT (Program Evaluation and Review Technique) is a project management tool developed by the US Navy to analyze complex projects by breaking them into tasks, estimating activity times, and identifying the critical path of tasks. It facilitates decision making by determining the earliest and latest start/finish times and calculating slack time to reduce project time and costs. PERT uses a network diagram and beta distribution to model activity times and account for uncertainty in complex, non-routine projects.
The document discusses three examples of project managers and their responsibilities on different projects:
1) Construction of a retail development with 26 units and a supermarket. Responsible for coordinating contractors to ensure on-time and on-budget completion.
2) Directing trials of a new analgesic drug. Responsible for designing experiments and ensuring proper scientific and legal procedures are followed.
3) Introducing multimedia resources at a teacher training college in New Delhi. Responsible for purchasing and developing resources as well as encouraging acceptance by lecturers and students.
The document discusses network analysis techniques like CPM and PERT that are used for planning, managing, and controlling projects. CPM uses deterministic time estimates for activities shown in an activity-on-node network, while PERT uses probabilistic time estimates for activities shown in an activity-on-arrow network. Both techniques calculate earliest and latest start/finish times to identify the critical path and slack times. The document provides examples of applying CPM and PERT to model the activities and durations for different crop field operations, and identifies the minimum time required to complete each project.
Network analysis techniques such as critical path method (CPM) and program evaluation and review technique (PERT) can be used to plan, manage, and control projects. CPM involves identifying all activities, their durations, and their logical sequence or precedence relationships using a network diagram of nodes and arrows. It allows determining the critical path that dictates the minimum project duration and identifying any activities that could delay the project if they slip. PERT extends CPM by using three time estimates per activity to model the uncertainty in activity durations through probability distributions.
This document discusses project management techniques CPM and PERT. It begins by defining a project and project management. It then discusses network planning methods including CPM and PERT. The four steps to managing a project with these methods are described: describing the project, diagramming the network, estimating time of completion, and monitoring progress. Key concepts like activities, precedence relationships, and events are also defined. The document goes on to provide details on CPM and PERT, including estimating time, determining critical paths, and differences between the two methods.
The play "The Dancers" by Alberto S. Florentino is about a poor family struggling with poverty. The father, Mang Tomas, wants his youngest daughter Nenita to join her older sister Rita in becoming a dancer to make money for the family. The oldest son Tony disapproves of the plan, while the youngest son Juanito remains submissive. The mother also disapproves but Mang Tomas insists it is his decision as the father.
Drama is a story enacted on stage for a live audience. The key elements of drama include structure/plot, conflict, theme, setting, characters, and an audience. Drama originated in ancient Greece and was performed to honor Dionysus. It has evolved over time but still involves characters facing conflicts that build to a climax and resolution. Modern drama experiments with unconventional structures and focuses on ordinary people and personal issues. Philippine drama has roots in ethnic rituals and was influenced by Spanish and American colonization. It is an important part of exploring and expressing Philippine identity and culture.
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 various telecommunication technologies including wired technologies like twisted-pair wire, coaxial cable, and fiber optics. It also discusses wireless technologies such as terrestrial microwave, communications satellites, cellular networks, wireless web, and Bluetooth. Additionally, it covers telecommunication processors like modems, multiplexers, and internetwork processors like switches, routers, gateways and hubs. The document was prepared by Belarmino, Edlyn Abigail Joy R.
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2. Christ's law of love fulfills divine law by calling people to love God and their neighbor. Church teaching holds that human beings discern a law in their conscience that calls them to do good.
3. Moral laws are based on basic human values and express the standard for judging right and wrong. True freedom involves obedience to moral and divine law through conscience.
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This document contains a group seatwork assignment on Catholic morality from St. Paul University in the Philippines. The assignment asks students to match four Bible passages describing what God's people did with four passages on how God showed his love in response. It includes spaces for student names and scores.
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The document analyzes whether vices affect the RE04 grade of 2nd year BS Information Technology students at St. Paul University Quezon City. A survey was conducted of 30 randomly selected students about their vices and RE04 performance. The researchers found that students were able to balance their vices and studies, as vices did not negatively impact academic performance. Both students with and without vices passed RE04. The researchers concluded that students' study habits and class participation, not vices, determined RE04 grades.