Discover how operating systems efficiently manage memory through various allocation strategies. Learn about fixed and dynamic partitioning, fragmentation handling, and advanced memory management techniques that optimize system performance.
Core concepts that explain how memory allocation works
Memory is divided into fixed-size partitions before execution begins. Each partition can hold exactly one process, leading to internal fragmentation but simple management.
• Predefined partition sizes
• Simple allocation/deallocation
• Internal fragmentation
• Degree of multiprogramming is fixed
Memory partitions are created dynamically as processes arrive. Partitions are exactly sized to fit each process, eliminating internal fragmentation but causing external fragmentation.
• Variable partition sizes
• No internal fragmentation
• External fragmentation
• Requires compaction
Primary algorithms used for memory allocation decisions
Allocates the first free block that is large enough to accommodate the process request. Fast but may lead to increased fragmentation over time.
Searches the entire list and allocates the smallest free block that can accommodate the process. Minimizes wasted space but slower performance.
Allocates the largest available free block. Reduces the number of very small fragments but may waste large amounts of memory.
Similar to first fit but starts searching from where the last allocation left off, rather than from the beginning of the list.
Divides memory into partitions of sizes that are powers of 2. When a request arrives, the system finds the smallest power-of-2 partition that fits.
Pre-allocates memory for frequently used objects in caches. Reduces fragmentation and improves allocation performance for kernel objects.
Understanding memory wastage in different allocation schemes
Occurs in fixed partitioning when allocated memory is larger than requested memory. The unused portion within the partition represents wasted memory.
Formula: Internal Fragmentation = Partition Size - Process Size
Example: 16KB partition allocated to 12KB process = 4KB internal fragmentation
Occurs in dynamic partitioning when free memory is scattered in small blocks that individually cannot satisfy allocation requests despite having sufficient total free space.
Solution: Memory compaction, paging, or segmentation
Impact: Reduces effective memory utilization over time
Modern techniques for efficient memory utilization
Interactive tools to calculate memory allocation metrics
Calculate internal and external fragmentation in different allocation schemes
Internal Fragmentation: 0 MB
External Fragmentation: 0 MB
Memory Utilization: 100%
Wasted Memory: 0 MB
Compare efficiency of different allocation algorithms
Successfully Allocated: 0 processes
Total Allocated Memory: 0 MB
Remaining Free Memory: 0 MB
Efficiency Ratio: 0%
Convert between different memory units commonly used in allocation calculations
Convert between different memory units
Result: 1
Convert between logical and physical addresses
Physical Address: 20480
Page Number: 1
Offset: 0
Save and share your memory allocation simulations and data with proper implementations
Save your simulation results and uvw
Load previously saved memory allocation data and uvw
Explore memory allocation through hands-on uvw
Visualize how memory is allocated and deallocated dynamically
Step 1: Initial memory state with 100MB total capacity.
Experience how fragmentation develops over time in dynamic allocation
Step 1: Memory starts with uniform allocation.
How Memory Allocation differs from other computer science concepts
Practice problems with solutions to reinforce understanding
A system has fixed partitions of 16KB each. Processes of sizes 12KB, 8KB, 20KB, and 6KB arrive. Calculate the total internal fragmentation.
For each process:
• 12KB process: 16KB - 12KB = 4KB fragmentation
• 8KB process: 16KB - 8KB = 8KB fragmentation
• 20KB process: Cannot fit in 16KB partition (external fragmentation)
• 6KB process: 16KB - 6KB = 10KB fragmentation
Total internal fragmentation = 4 + 8 + 10 = 22KB
Total internal fragmentation is 22KB.
In a dynamic partitioning system, memory holes of sizes 10KB, 4KB, 20KB, 18KB, 7KB, 9KB, 12KB, and 15KB exist. A new process of 12KB arrives. Show allocation using First Fit, Best Fit, and Worst Fit.
First Fit: Allocates first hole ≥ 12KB = 20KB hole
Fragmentation = 20KB - 12KB = 8KB
Best Fit: Finds smallest hole ≥ 12KB = 12KB hole
Fragmentation = 12KB - 12KB = 0KB
Worst Fit: Allocates largest available hole = 20KB hole
Fragmentation = 20KB - 12KB = 8KB
Best Fit produces zero fragmentation, while First Fit and Worst Fit both produce 8KB fragmentation.
In a paged memory system with 4KB pages, given a logical address of 8196, find the page number and offset. If the page is mapped to frame 7, what is the physical address?
Page size = 4KB = 4096 bytes
Page number = Logical address ÷ Page size = 8196 ÷ 4096 = 2 (integer division)
Offset = Logical address mod Page size = 8196 mod 4096 = 8196 - (2 × 4096) = 8196 - 8192 = 4
Physical address = (Frame number × Page size) + Offset = (7 × 4096) + 4 = 28672 + 4 = 28676
Page number = 2, Offset = 4, Physical address = 28676
Test your understanding of Memory Allocation concepts
Correct Answer: c) Paging
Paging eliminates external fragmentation by dividing memory into fixed-size pages and allowing non-contiguous allocation.
Correct Answer: a) Unused space within allocated blocks
Internal fragmentation occurs in fixed partitioning when allocated memory is larger than the requested amount.
Correct Answer: b) Best Fit
Best Fit minimizes fragmentation by finding the smallest block that can accommodate the request.
Correct Answer: b) Internal fragmentation
Fixed partitioning causes internal fragmentation because partitions are often larger than the processes they contain.
Correct Answer: d) All of the above
Page size is determined by hardware capabilities, OS design choices, and application requirements.
Correct Answer: c) Reduce external fragmentation
Memory compaction moves allocated blocks together to create larger contiguous free spaces, reducing external fragmentation.