Placement Algorithm Questions


Here are 11 questions on fit algorithms . Each question is presented in a table format. each question is solved in explained form.


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What is Placement Algorithm in Operating System ?

The placement algorithm in Operating Systems is used to determine where a process or data should be placed in memory. It helps manage memory allocation efficiently and ensures optimal use of available memory space. These algorithms are crucial in multitasking environments to minimize memory fragmentation and maximize system performance.

Advantages and Disadvantages

Advantages Disadvantages
Efficient memory utilization. May lead to external fragmentation.
Reduces idle memory slots. Complex implementation for some algorithms.
Supports multitasking effectively. Requires frequent memory compaction.
Improves system throughput. Can be computationally expensive.
Adaptable to various memory demands. Suboptimal performance for certain workloads.
Helps minimize swapping overhead. Prone to internal fragmentation with fixed partitions.

Method to Solve Placement Algorithm Questions

  • Understand the memory layout, including partitions and their sizes.
  • Identify the processes or data sizes that need to be allocated.
  • Select the appropriate placement algorithm based on the given problem.
  • Simulate the allocation process step by step using the chosen algorithm.
  • Account for fragmentation (internal or external ) after allocation.
  • Evaluate the performance and efficiency of the solution.

Types of Placement Algorithms

The four main types of placement algorithms are:

  • First Fit: Allocates the first available block of memory large enough to accommodate the process or data. Simple and fast but may lead to fragmentation.
  • Best Fit: Allocates the smallest block of memory that fits the process or data, reducing wasted space. However, it increases the time required for searching.
  • Worst Fit: Allocates the largest available block of memory, leaving large free spaces for future allocations. This method can reduce small fragmentations but may waste large blocks.
  • Next Fit: A variant of First Fit that starts the search from the last allocated position, making it efficient in a cyclic memory environment.

Why Placement Algorithms Are Better Than Other Algorithms

Placement algorithms are specifically designed to handle memory allocation efficiently, ensuring minimal fragmentation and optimal use of memory space. Unlike general-purpose algorithms, these are tailored to address the dynamic and unpredictable memory demands of multitasking systems, providing higher throughput and better adaptability.


Question 1 : A dynamic partioning scheme is being used, and the following is the memory configuration at the given point in time.

1 2 3 4 5 6 7 8 9 10
40 MB 50 MB 60 MB 26 MB 20 MB

The areas 1, 4, 6, and 9 are allocated blocks; the others areas are free blocks. the next four memory requests are for 16MB, 30MB, 20MB, and 50MB. which of the following placement algorithms makes the most efficient use of memory?

a. First-Fit

b. Best-Fit

c. Worst-Fit

d. Next-Fit. Assume the most recently added block is at the 5 (60 MB) of memory.

solution :

let P1 = 16MB, P2 = 30MB, P3 = 20MB, P4 = 50MB

First-Fit :

1 2 3 4 5 6 7 8 9 10
40 MB (P1) 50 MB (P2) 60 MB (P3) 26 MB 20 MB

P1 = 40MB - 16MB = 24MB

P2 = 50MB - 30MB = 20MB

P3 = 60MB - 20MB = 40MB

Total External Fragmentation : 24MB + 20MB + 40MB = 84MB

Best-Fit :

1 2 3 4 5 6 7 8 9 10
40 MB (P2) 50 MB 60 MB (P4) 26 MB (P3) 20 MB (P1)

P1 = 20MB - 16MB = 4MB

P2 = 40MB - 30MB = 10MB

P3 = 26MB - 20MB = 6MB

P4 = 60MB - 50MB = 10MB

Total External Fragmentation : 4MB + 10MB + 6MB + 10MB = 30MB

Next-Fit :

1 2 3 4 5 6 7 8 9 10
40 MB (P1) 50 MB (P2) 60 MB (P3) 26 MB 20 MB

P1 = 40MB - 16MB = 24MB

P2 = 50MB - 30MB = 20MB

P3 = 60MB - 20MB = 40MB

Total External Fragmentation : 24MB + 20MB + 40MB = 84MB

Worst-Fit :

1 2 3 4 5 6 7 8 9 10
40 MB (P3) 50 MB (P2) 60 MB (P1) 26 MB 20 MB

P1 = 60MB - 16MB = 44MB

P2 = 50MB - 30MB = 20MB

P3 = 40MB - 20MB = 20MB

Total External Fragmentation : 24MB + 20MB + 40MB = 84MB

Best-Fit algorithm makes the most efficient use of memory

Question 2 : A dynamic partioning scheme is being used, and the following is the memory configuration at the given point in time.

1 2 3 4 5 6 7 8 9 10
30 MB 46 MB 54 MB 26 MB 20 MB

The areas 1, 4, 6, 7 and 9 are allocated blocks; the others areas are free blocks. the next four memory requests are for 12MB, 28MB, 32MB, and 50MB. which of the following placement algorithms makes the most efficient use of memory?

a. First-Fit

b. Best-Fit

c. Worst-Fit

d. Next-Fit. Assume the most recently added block is at the 3 (46 MB) of memory.

solution :

let P1 = 12MB, P2 = 28MB, P3 = 32MB, P4 = 50MB

First-Fit :

1 2 3 4 5 6 7 8 9 10
30 MB (P1) 46 MB (P2) 54 MB (P3) 26 MB 20 MB
Memory Request External fragment
P1 30MB - 12MB = 18MB
P2 46MB - 28MB = 18MB
P3 54MB - 32MB = 22MB

Total external Fragmentation => 18 + 18 + 22 = 58

Best-Fit :

1 2 3 4 5 6 7 8 9 10
30 MB (P2) 46 MB (P3) 54 MB (P4) 26 MB 20 MB (P1)
Memory Request External fragment
P1 20MB - 12MB = 8MB
P2 30MB - 28MB = 2MB
P3 46MB - 32MB = 14MB
P4 54MB - 50MB = 5MB

Total external Fragmentation => 8 + 2 + 14 + 5 = 28

Next-Fit :

1 2 3 4 5 6 7 8 9 10
30 MB (P1) 46 MB (P2) 54 MB (P3) 26 MB 20 MB
Memory Request External fragment
P1 30MB - 12MB = 18MB
P2 46MB - 28MB = 18MB
P3 54MB - 32MB = 22MB

Total external Fragmentation => 18 + 18 + 22 = 58

Worst-Fit :

1 2 3 4 5 6 7 8 9 10
30 MB 46 MB (P2) 54 MB (P1) 26 MB 20 MB
Memory Request External fragment
P1 54MB - 12MB = 32MB
P2 46MB - 28MB = 18MB

Total external Fragmentation => 32 + 18 = 50

" best-fit " placement Algorithm makes the most efficient use of memory in this question. because he fulfill the all memory request.