How does the number of page frames affect the number of page faults for a given memory access pattern in FIFO page replacement algorithm?
Explanation
Mathematical Representation
Standard case mein rule ye hona chahiye:
Frames(f)∝Page Faults(PF)1
Lekin FIFO ke liye, specific access patterns (जैसे: 1,2,3,4,1,2,5,1,2,3,4,5) mein ye relation badal jata hai:
\text{If } f_2 > f_1 \implies PF(f_2) > PF(f_1) \quad (\text{Belady's Anomaly})
Conclusion
Is statement ka matlab hai:
-
Decrease: Zyadatar cases mein frames badhane se faults kam hote hain (Normal behavior).
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Increase: Kuch patterns mein frames badhane se faults badh jate hain (Anomaly behavior).
Isliye combined statement banta hai:
Frames↑⟹Page Faults may Increase or Decrease
Answer: Bilkul sahi, ye FIFO algorithm ki sabse badi limitation hai.