Greedy Algorithms - Task Scheduler (CPU Cooling)
Suppose tasks can have varying execution times (not unit time) and cooldown applies only between identical tasks. How should the Task Scheduler algorithm be adapted to minimize total completion time?
Suppose tasks can have varying execution times (not unit time) and cooldown applies only between identical tasks. How should the Task Scheduler algorithm be adapted to minimize total completion time?
hard🎤 Interviewer Follow-up Q10 of Q15
Step-by-Step Solution
Solution:
Step 1: Understand problem variant
Varying execution times and cooldown only between identical tasks complicate greedy scheduling.Step 2: Adapt scheduling approach
Dynamic programming can consider varying task durations and cooldown constraints to find minimal total completion time.Step 3: Why other options fail
Greedy max-heap ignores varying times; sliding window with fixed block size may not handle varying durations optimally; sorting ignoring cooldown breaks constraints.Final Answer:
Option A -> Option AQuick Check:
DP handles complex constraints and varying durations [OK]
Quick Trick: Varying times and cooldowns require DP [OK]
Common Mistakes:
MISTAKES- Applying unit-time greedy directly
- Ignoring cooldown constraints
Trap Explanation:
PITFALL- Candidates often try naive greedy ignoring varying execution times and cooldowns.
Interviewer Note:
CONTEXT- Tests ability to adapt scheduling algorithms to complex variants
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