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SOFTWARE DEVELOPMENT

Banker’s Algorithm in OS: An Ultimate Guide

By Vishalini Devarajan

Imagine multiple people trying to withdraw money from a bank at the same time. If a bank starts issuing too much cash, then there will not be enough cash for everyone’s future needs. If the bank blindly accepts all requests, it may eventually be unable to service its customers and end up losing all its money.

Operating systems face a similar challenge while managing resources such as memory, files, CPU cycles, printers, and I/O devices. Multiple processes continuously request and release resources, and if these requests are not managed carefully, the system can enter a dangerous condition known as a deadlock.

This is where the banker’s algorithm of OS comes into play.

The banker’s algorithm is one of the most well-known deadlock avoidance algorithms in operating systems. The algorithm is designed by Edsger Dijkstra, who thinks of himself as a cautious banker that lends money only when it is safe to do so. Whereas, after a deadlock occurs, it is reactive to determine whether a request for a resource will cause the system to enter an unsafe state in the future.

Although there are a variety of practical approaches used in modern operating systems, the banker’s algorithm is a fundamental concept in computer science. 

Let’s discuss the working principle, data structures, safety checks, real world relevance, pros and cons of the banker’s algorithm and detailed examples that explain this concept better in this blog.

Table of contents


  1. What is Banker's Algorithm in Operating System?
  2. Understanding Deadlock Before Learning Banker’s Algorithm
  3. Why Banker’s Algorithm is Important?
    • Key Objectives
    • Safe Resource Allocation
    • Deadlock Avoidance
    • Efficient Resource Tracking
    • Controlled Execution
  4. Core Concepts Behind Banker’s Algorithm
    • Available Resources
    • Maximum Need
    • Allocation
    • Need
    • Safe State
    • Unsafe State
  5. Data Structures Used in Banker’s Algorithm
    • Available Vector
    • Maximum Matrix
    • Allocation Matrix
    • Need Matrix
  6. Working Principle of Banker’s Algorithm
    • Step 1: Process Requests Resources
    • Step 2: Check Request Validity
    • Step 3: Temporary Allocation
    • Step 4: Safety Algorithm Runs
    • Step 5: Final Decision
  7. Safety Algorithm in Banker’s Algorithm
    • Safety Algorithm Steps
  8. Wrapping it Up:
  9. FAQs:
    • What is Banker’s Algorithm?
    • Why is it called Banker’s Algorithm?
    • What is a deadlock?
    • What is a safe state?

What is Banker’s Algorithm in Operating System?

The banker’s algorithm in an operating system is a deadlock avoidance algorithm (also known as the Banker algorithm) that is used to allocate resources among multiple processes safely.

The algorithm determines if granting a resource request will maintain a safe state. The request is granted if the state is safe. If not, the request is refused for the time being until sufficient resources are available.

The term “banker” is derived from the banking metaphor:

  • The bank will never lend out its entire funds.
  • It ensures enough balance exists to satisfy future withdrawals.
  • It thoroughly considers each loan application before it is approved.

In the same way, operating system also checks all the process requests before allocating resources.

Understanding Deadlock Before Learning Banker’s Algorithm

To fully understand the banker’s algorithm in OS, it is important to first understand deadlock.

A deadlock occurs when multiple processes wait indefinitely for resources held by each other.

Simple Example of Deadlock

Consider two processes:

  • Process P1 is waiting for Resource B, and has Resource A.
  • Process P2 is waiting for Resource A.

Neither process can proceed because both are waiting forever.

This situation causes a part of the operating system to freeze.

Deadlocks are dangerous in that they:

  • Reduce system performance
  • Waste resources
  • Freeze applications
  • Need manual intervention for severe cases

The banker’s algorithm gets around this issue by making an advance prediction of the unsafe allocations.

Why Banker’s Algorithm is Important?

The banker’s algorithm in OS plays an important educational and theoretical role because it introduces the concept of proactive resource management.

The algorithm does not cause deadlocks but prevents them.

Key Objectives

1. Safe Resource Allocation

If the system is not stable, no resources will be granted.

2. Deadlock Avoidance

The algorithm predicts dangerous states before they happen.

3. Efficient Resource Tracking

It carries out a detailed record of the needs of the process and the resources available.

4. Controlled Execution

Processes execute smoothly without indefinite waiting.

Core Concepts Behind Banker’s Algorithm

Before getting to know the algorithm itself there are a few important concepts that should be understood.

1. Available Resources

These are resources presently available in the system.

Example:

  • 3 printers available
  • 2 memory blocks free

These are resources that are available to the operating system to meet process requests.

2. Maximum Need

Each process specifies the maximum number of resources it might need when running.

Example:

  • Process P1 may need at most 5 memory units.
  • Process P2 may need at most 3 printers.

This information is crucial to the operating system to make safety predictions.

MDN

3. Allocation

Allocation is the resources that are allocated to a process at the present time.

Example:

  • P1 already holds 2 printers.
  • P2 currently uses 1 memory block.

4. Need

Need represents the “balance of resources needed” by a process.

Formula:

Need=Maximum−Allocation

If:

  • Maximum = 7
  • Allocation = 3

Then:

Need = 4

5. Safe State

If all the processes can be executed in some order without causing deadlock, the system is said to be in safe state.

Safe states ensure system stability.

6. Unsafe State

An unsafe state does not necessarily mean deadlock has already occurred.

It simply means the possibility of deadlock exists in the future.

The banker’s algorithm avoids entering unsafe states.

💡 Did You Know?

The Banker’s Algorithm was developed by Edsger W. Dijkstra in 1965 as a strategy for deadlock avoidance in operating systems. Its name comes from the analogy of a cautious banker who grants loans only when doing so will still leave enough resources available to satisfy all customers eventually. Before approving a resource request, the algorithm checks whether the system will remain in a safe state. If granting the request could lead to a situation where processes might become permanently blocked, the request is delayed, helping the system avoid deadlocks before they occur.

Data Structures Used in Banker’s Algorithm

The banker’s algorithm in OS relies on multiple matrices and vectors.

These structures help the operating system track resource allocation.

1. Available Vector

Stores currently available instances of each resource.

Example:

ResourceAvailable
A3
B2
C1

2. Maximum Matrix

Shows the maximum demand of every process.

ProcessABC
P1753
P2322

3. Allocation Matrix

Shows resources currently allocated.

ProcessABC
P1010
P2200

4. Need Matrix

Stores remaining resource requirements.

Formula:

Need[i,j]=Max[i,j]−Allocation[i,j]

Working Principle of Banker’s Algorithm

The banker’s algorithm works by checking system safety before resource allocation.

The process follows several logical steps.

Step 1: Process Requests Resources

A process asks for resources.

Example:

  • P1 requests 2 units of Resource A.

Step 2: Check Request Validity

The operating system checks:

  • Is the request less than the process need?
  • Are enough resources available?

If both conditions are satisfied, the algorithm proceeds.

Step 3: Temporary Allocation

The system temporarily allocates the requested resources.

This is only a simulation.

Step 4: Safety Algorithm Runs

The operating system checks whether all processes can still finish successfully.

If yes:

  • Request is approved.

If no:

  • Request is denied.

Step 5: Final Decision

The system either:

  • Grants resources permanently
  • Rolls back temporary allocation

This decision prevents unsafe states.

Safety Algorithm in Banker’s Algorithm

The safety algorithm determines whether the system is currently safe.

Safety Algorithm Steps

Step 1: Initialize

Create two vectors:

  • Work = Available resources
  • Finish = False for all processes

Step 2: Find Eligible Process

Find a process whose needs are less than available resources.

Condition:

Needi ≤ Work 

Step 3: Execute Process Virtually

If a process can execute:

  • Add its allocated resources back to Work
  • Mark Finish = True

Step 4: Repeat

Continue until:

  • All processes finish safely
    OR
  • No eligible process exists

Step 5: Determine Safety

If all processes finish:

  • System is safe

Otherwise:

  • System is unsafe

Wrapping it Up:

The banker’s algorithm in OS is an important deadlock avoidance technique that helps operating systems allocate resources safely without entering unsafe states. Although modern systems may not use it directly, the algorithm remains highly valuable for understanding resource management, process scheduling, and system stability. For students and professionals, learning banker’s algorithm builds a strong foundation in operating system concepts and improves problem-solving skills in concurrent computing environments.

FAQs:

1. What is Banker’s Algorithm?

Banker’s Algorithm is a deadlock avoidance algorithm used to allocate resources safely among processes.

2. Why is it called Banker’s Algorithm?

It works like a cautious banker that only grants resources when the system remains safe.

3. What is a deadlock?

A deadlock occurs when processes wait indefinitely for resources held by each other.

MDN

4. What is a safe state?

A safe state means all processes can complete without causing deadlock.

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Table of contents Table of contents
Table of contents Articles
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  1. What is Banker's Algorithm in Operating System?
  2. Understanding Deadlock Before Learning Banker’s Algorithm
  3. Why Banker’s Algorithm is Important?
    • Key Objectives
    • Safe Resource Allocation
    • Deadlock Avoidance
    • Efficient Resource Tracking
    • Controlled Execution
  4. Core Concepts Behind Banker’s Algorithm
    • Available Resources
    • Maximum Need
    • Allocation
    • Need
    • Safe State
    • Unsafe State
  5. Data Structures Used in Banker’s Algorithm
    • Available Vector
    • Maximum Matrix
    • Allocation Matrix
    • Need Matrix
  6. Working Principle of Banker’s Algorithm
    • Step 1: Process Requests Resources
    • Step 2: Check Request Validity
    • Step 3: Temporary Allocation
    • Step 4: Safety Algorithm Runs
    • Step 5: Final Decision
  7. Safety Algorithm in Banker’s Algorithm
    • Safety Algorithm Steps
  8. Wrapping it Up:
  9. FAQs:
    • What is Banker’s Algorithm?
    • Why is it called Banker’s Algorithm?
    • What is a deadlock?
    • What is a safe state?