Operating Systems - Process State Machine - Five-State Model
In the five-state process model, what is the time complexity of transitioning a process from the Waiting state back to the Ready state when multiple I/O events complete simultaneously?
In the five-state process model, what is the time complexity of transitioning a process from the Waiting state back to the Ready state when multiple I/O events complete simultaneously?
medium🪤 Complexity Trap Q5 of Q15
Step-by-Step Solution
Solution:
Step 1: Understand Waiting to Ready transition
The process waits for multiple I/O events; it can only move to Ready after all required events complete.Step 2: Complexity depends on checking all events
Checking completion status of n events requires O(n) time.Step 3: Immediate transition (O(1)) is incorrect
Because multiple events must be verified, O(1) is too optimistic.Step 4: Logarithmic or quadratic complexities are not typical here
Priority queues are unrelated; no nested loops cause O(n²).Final Answer:
Option A -> Option AQuick Check:
Checking all I/O events is linear in number of events [OK]
Quick Trick: Waiting to Ready requires checking all I/O events [OK]
Common Mistakes:
MISTAKES- Assuming O(1) for immediate transition
- Confusing priority queue usage
- Overestimating complexity as O(n²)
Trap Explanation:
PITFALL- Candidates often underestimate the need to check all I/O events, assuming constant time.
Interviewer Note:
CONTEXT- Tests understanding of complexity in multi-event synchronization.
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