Operating Systems - Deadlock - Four Necessary Conditions (Coffman)
If a system enforces a strict ordering on resource acquisition to prevent circular wait, what is the time complexity impact on resource allocation requests in the worst case?
If a system enforces a strict ordering on resource acquisition to prevent circular wait, what is the time complexity impact on resource allocation requests in the worst case?
medium🪤 Complexity Trap Q5 of Q15
Step-by-Step Solution
Solution:
Step 1: Understand strict ordering
Processes must request resources in a predefined global order to prevent circular wait.Step 2: Analyze complexity
Each request requires checking the order relative to held resources, which is proportional to the number of resource types n.Step 3: Why others are incorrect
O(1) is unrealistic as ordering checks depend on resource count. O(n²) overestimates since no pairwise checking is needed. O(log n) assumes advanced data structures not guaranteed.Final Answer:
Option B -> Option BQuick Check:
Ordering check per resource type -> O(n) [OK]
Quick Trick: Ordering checks scale linearly with resource types [OK]
Common Mistakes:
MISTAKES- Assuming constant time due to simple ordering
- Overestimating complexity as quadratic
Trap Explanation:
PITFALL- Candidates often confuse the overhead of ordering checks, thinking it's constant or quadratic.
Interviewer Note:
CONTEXT- Tests understanding of trade-offs in deadlock prevention via ordering.
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