Consider allocation of memory to a new process. Assume that none of the…

2020

Consider allocation of memory to a new process. Assume that none of the existing holes in the memory will exactly fit the process’s memory requirement. Hence, a new hole of smaller size will be created if allocation is made in any of the existing holes. Which one of the following statement is TRUE ?

  1. A.

    The hole created by first fit is always larger than the hole created by next fit.

  2. B.

    The hole created by worst fit is always larger than the hole created by first fit.

  3. C.

    The hole created by best fit is never larger than the hole created by first fit.

  4. D.

    The hole created by next fit is never larger than the hole created by best fit.

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Correct answer: C

Key idea: best fit picks the smallest hole that can accommodate the process, so it minimizes the leftover space.

  • Let h_best be the size of the hole chosen by best fit and h_first be the size chosen by first fit.

  • Because best fit chooses the smallest sufficient hole, h_best <= h_first.

  • The leftover hole after allocation is (hole_size - process_size), so leftover_best = h_best - p <= h_first - p = leftover_first.

  • Therefore the hole created by best fit is never larger than the hole created by first fit.

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