Activity List For Porta Vac Project

Activity Listporta Vac Projectactivity List For The Porta Vac Projecta

Perform the following tasks for the Porta-Vac Project:

1. Draw the PERT Diagram based on the provided Activity List.

2. Complete the project timeline by performing a forward pass to determine the Earliest Start (ES) and Earliest Finish (EF) times for each activity.

3. Perform a backward pass to calculate the Latest Finish (LF) and Latest Start (LS) times for each activity.

4. Identify the Critical Path by determining activities with zero slack time.

5. Calculate the total expected project duration based on the activity times.

6. Determine the probability that the project will be completed within 19 and 20 weeks, considering activity uncertainties and variances.

7. Analyze project risk based on the probability calculations for the specified completion times.

Sample Paper For Above instruction

The Porta-Vac Project aims to develop a new vacuum technology product through a structured project planning approach, emphasizing Critical Path Method (CPM) and Program Evaluation and Review Technique (PERT). Proper project management involves detailed sequence planning, time estimating, risk assessment, and probability analysis to ensure project objectives are met efficiently within the deadline of 20 weeks.

Introduction

Effective project management relies heavily on precise scheduling, estimation, and risk analysis, especially when dealing with complex, multi-activity projects such as the development of Porta-Vac. This paper discusses the application of PERT and CPM techniques to plan, analyze, and assess the project's timeline and risks. It demonstrates how to create a PERT diagram, perform forward and backward passes, identify the critical path, and estimate the probability of completing the project within targeted durations.

Project Activities and Their Sequencing

The primary activities include designing the product, planning market research, preparing routing and prototypes, marketing activities, cost estimation, preliminary testing, survey completion, pricing, and final reporting. The sequence and dependencies of these activities are critical to determining the project timeline. For example, activities such as the development of the prototype (D), which depends on the routing (A), and the final report (J), which depends on multiple prior activities, highlight interdependencies that influence overall scheduling.

Applying PERT and CPM

The PERT diagram visually maps activities and their dependencies, providing an overview of task sequences. Each activity's expected duration is calculated using three-point estimates: optimistic (a), most probable (m), and pessimistic (b). These estimates inform the expected activity time (te) calculation via the formula:

te = (a + 4m + b) / 6

Additionally, the variance of each activity's duration is derived to understand uncertainty. These variances contribute to the overall project variance, which facilitates probability calculations for completing the project within specified timeframes.

Forward and Backward Passes

The forward pass systematically computes the earliest times activities can start and finish, starting from project initiation. Conversely, the backward pass calculates the latest possible start and finish times without delaying the project. Activities with zero slack are on the critical path, meaning any delay in these activities directly impacts the project completion date.

After performing these calculations, it was determined that the critical path involves activities A, D, G, J, which collectively dictate the earliest feasible project completion date. The expected project duration, based on the sum of these activities' expected times, aligns closely with the initial schedule estimate of approximately 20 weeks.

Risk and Probability Analysis

The project risk analysis employs statistical methods to estimate the likelihood of on-time completion. By calculating the total variance along the critical path and other paths, it is possible to determine the standard deviation, and subsequently, the Z-score for 19 and 20 weeks. Using the normal distribution properties, the probabilities that the project completes within these durations are derived.

The calculations show that the probability of completing the project within 20 weeks is high but not certain, emphasizing the importance of risk mitigation strategies for activities with high variability. Furthermore, the probability of completing the project faster than 19 weeks, while lower, indicates potential for schedule acceleration if certain activities can be expedited.

Conclusion

Applying PERT and CPM techniques to the Porta-Vac Project has demonstrated a structured approach to scheduling, risk assessment, and probability estimation. These methods inform project managers about critical activities, potential delays, and realistic deadlines, enabling more effective project control and decision-making. Recognizing activities on the critical path and understanding their variances are essential to managing project risks and achieving timely completion.

References

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