First Fit Algorithm
Memory Allocation
Algorithm Implementation
Computer Science
Optimization Techniques

Implementing first fit like algorithm

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Introduction

A first-fit algorithm scans available slots from the beginning and uses the first slot that is large enough. This pattern appears in memory allocation, bin packing, and general resource assignment problems where a quick acceptable placement matters more than finding the mathematically best placement.

What first fit means

Suppose you have free blocks with capacities [10, 5, 8] and a request of size 6. A first-fit allocator places the request into the first block large enough, which is the block of size 10, not the later block of size 8.

That makes the algorithm simple and fast to implement. It does not try to search for the tightest fit. It stops as soon as it finds a workable slot.

A simple implementation

The following Python example treats each block as remaining free capacity and assigns items using a first-fit strategy.

python
1def first_fit(capacities, items):
2    remaining = capacities[:]
3    placement = []
4
5    for item in items:
6        placed = False
7        for index, free_space in enumerate(remaining):
8            if free_space >= item:
9                remaining[index] -= item
10                placement.append(index)
11                placed = True
12                break
13        if not placed:
14            placement.append(None)
15
16    return placement, remaining
17
18
19bins = [10, 5, 8]
20items = [6, 4, 3, 7]
21print(first_fit(bins, items))

This returns where each item was placed and how much capacity remains in each bin.

Why someone says "first-fit-like"

In real systems, developers often want something almost like first fit, but with a few extra rules. For example:

  • skip blocks that are too fragmented
  • prefer blocks from a certain region first
  • remember the last successful position and continue from there
  • split or merge free blocks dynamically

At that point the algorithm is not pure textbook first fit anymore, but the core idea is still the same: scan candidates in a deterministic order and take the first acceptable one.

Trade-offs

The strength of first fit is speed and simplicity. The weakness is fragmentation or uneven usage. Because it does not search globally for the best slot, it can leave awkward leftovers that reduce future flexibility.

That trade-off is acceptable in many practical systems, especially when requests arrive online and decisions must be made quickly.

If minimizing fragmentation matters more than placement speed, algorithms such as best fit or more specialized heuristics may perform better.

Data structures matter

A small implementation can use a plain list and a linear scan. That is often enough and keeps the code very readable. At larger scale, developers sometimes use balanced trees, segregated free lists, or indexed structures to reduce search cost or track blocks by class.

The algorithmic policy and the supporting data structure are related but separate decisions. You can keep the first-fit policy while improving the way candidate blocks are stored and searched.

Common Pitfalls

  • Calling an algorithm first fit when it actually keeps searching after the first valid slot.
  • Ignoring fragmentation effects and assuming the first valid placement is always good enough.
  • Building overly complex data structures before proving a simple linear scan is too slow.
  • Forgetting to define what happens when no suitable block exists.
  • Mixing policy questions such as first fit versus best fit with data-structure choices such as lists versus trees.

Summary

  • First fit chooses the first available slot that satisfies the request.
  • It is simple, fast, and often good enough for online allocation problems.
  • A first-fit-like algorithm usually means first fit plus domain-specific placement rules.
  • The main downside is potential fragmentation or uneven resource usage.
  • Keep the allocation policy and the storage/search data structure conceptually separate.

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