2.1 CPM & PERT Explained | Critical Path Method & Float Calculation (GATE/UPSC)

Описание: 2.1 CPM & PERT Explained | Critical Path Method & Float Calculation (GATE/UPSC)

📝 About This Lesson (Section 2.1)Welcome to Module 2 of the Perfect Guided Series! We shift gears from Design to Management.In this video, we tackle Project Management Techniques, specifically CPM (Critical Path Method) and PERT (Program Evaluation and Review Technique).These tools are essential for delivering projects on time. We will move beyond theory to solve actual network diagrams, calculate "Float," and determine the shortest possible time to complete a project—skills that are directly tested in GATE numericals and UPSC technical sections.📍 Topics Covered:CPM vs. PERT: The core difference—Deterministic (CPM) vs. Probabilistic (PERT) models.Network Diagrams: Rules for drawing Activity-on-Node (AON) vs. Activity-on-Arrow (AOA).PERT Time Estimates: Calculating Expected Time ($t_e$) using Optimistic ($t_o$), Most Likely ($t_m$), and Pessimistic ($t_p$) times.Critical Path Analysis: Identifying the longest path in a network (which determines the shortest project duration).Float/Slack: Calculating Total Float, Free Float, and Independent Float.Crashing: Brief concept of Cost-Time trade-offs.🎓 Exam Relevance:GATE Architecture: 100% chance of a Numerical Question. You will be asked to "Find the Critical Path" or "Calculate the Total Float for Activity C."UPSC & DDA: Theory questions like "PERT is used for what kind of projects?" (Answer: R&D/New projects) or "Event vs. Activity."Construction Jobs: Essential knowledge for Project Manager roles.📚 Quick Note-Taking Guide for ViewersWrite down these "Golden Formulas" immediately:PERT Expected Time ($t_e$): $t_e = \frac{t_o + 4t_m + t_p}{6}$Forward Pass: Max of (Early Finish of predecessors).Backward Pass: Min of (Late Start of successors).Total Float: $LS - ES$ or $LF - EF$.Free Float: $ES_{\text{successor}} - EF_{\text{current}}$.

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