Learning Curve Scheduling
Learning Curve Scheduling problems involve time reduction as workers gain experience. Each doubling of cumulative production reduces time by a fixed percentage (learning rate). You need to calculate total production time using the learning curve formula.
What You'll Learn
Introduction to Learning Curve Scheduling
Learning Curve Scheduling problems involve time reduction as workers gain experience. Each doubling of cumulative production reduces time by a fixed percentage (learning rate). You need to calculate total production time using the learning curve formula.
Prerequisites
How to Solve Learning Curve Scheduling Problems
Step 1: Identify first unit time (T₁) and learning rate (L)
Step 2: Calculate exponent b = log(L)/log(2)
Step 3: For nth unit: Tₙ = T₁ × nᵇ
Step 4: For cumulative time to N units: Total = T₁ × N^(b+1) / (b+1) (using integration)
Step 5: Answer with total time
Example Problem
Example: First unit takes 100 min, 80% learning curve. Time for 4th unit? Solution: Step 1: T₁=100, L=0.8 Step 2: b = log(0.8)/log(2) = -0.3219 Step 3: T₄ = 100 × 4^(-0.3219) = 100 × 0.64 = 64 min Answer: 64 minutes
Pro Tips & Tricks
- 80% learning curve: time reduces to 80% when production doubles
- Common learning rates: 70%, 75%, 80%, 85%, 90%
- For doubling: T₂ = L × T₁
- For quadrupling: T₄ = L × T₂ = L² × T₁
- Cumulative time can be approximated using integration
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Learning Curve Scheduling. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Learning Curve Scheduling is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Learning Curve Scheduling?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: