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Machine Breakdown Recovery

Machine Breakdown Recovery problems involve recalculating project completion times when a machine breaks down during processing. You need to account for repair time and the impact on subsequent tasks.

10Worksheets
200+Practice Questions
AdvancedDifficulty
3-4 hoursHours to Master

What You'll Learn

Introduction & Overview Why This Matters How to Solve Pro Tips & Tricks
Shortcut Methods Common Mistakes Practice Worksheets Exam Importance

Introduction to Machine Breakdown Recovery

Machine Breakdown Recovery problems involve recalculating project completion times when a machine breaks down during processing. You need to account for repair time and the impact on subsequent tasks.

Prerequisites

Task sequencing Timeline simulation Delay calculation Recovery planning
Why This Matters: Breakdown Recovery problems appear in 1-2 questions in Banking PO and SSC exams. They test dynamic scheduling under uncertainty.

How to Solve Machine Breakdown Recovery Problems

1

Step 1: Establish original task sequence and durations

2

Step 2: Identify breakdown time and repair duration

3

Step 3: Simulate timeline from start

4

Step 4: When breakdown occurs, pause current task, add repair time

5

Step 5: Resume remaining task time after repair

6

Step 6: Continue with remaining tasks

7

Step 7: Calculate new completion time (makespan)

Pro Strategy: Simulate the timeline step by step. Track which task is active at breakdown time. Calculate remaining time after repair.

Example Problem

Example: Tasks: A(5h), B(3h), C(4h) in sequence. Breakdown at 6h, repair 2h. New completion time? Solution: Step 1: A:0-5, B:5-8, C:8-12 (original) Step 2: Breakdown at 6h: A completed, B started at 5h, 1h completed when breakdown occurs Step 3: Repair 2h: 6h-8h repair Step 4: Resume B: remaining 2h (8h-10h) Step 5: C: 10h-14h Step 6: New completion = 14h (delay = 2h) Answer: 14 hours

Pro Tips & Tricks

  • Draw timeline showing original schedule
  • Mark breakdown point on timeline
  • Calculate how much of current task completed before breakdown
  • Add repair time to schedule
  • Remaining tasks shift right by repair duration if breakdown during processing
  • Delay may be less than repair time if breakdown between tasks

Shortcut Methods to Solve Faster

If breakdown during idle time, delay = repair time
If breakdown during task, delay = repair time (same)
Completion time = original completion + repair time (if breakdown during processing)
Tasks before breakdown unaffected

Common Mistakes to Avoid

Forgetting that task may be partially complete at breakdown
Not accounting for remaining task time after repair
Assuming all tasks after breakdown shift by repair time (true for sequential)
Confusing breakdown time with repair start time

Exam Importance

Machine Breakdown Recovery is an important topic for various competitive exams. Here's how frequently it appears:

SSC CGL
1-2 questions
BANKING PO
1-2 questions
RAILWAYS RRB
1-2 questions
INSURANCE
1-2 questions

Ready to Master Machine Breakdown Recovery?

Start with Worksheet 1 and work your way up to expert level! Each worksheet includes:

20 practice questions
Detailed solutions
Step-by-step explanations
Start Practicing Now