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Explore the key differences between Linear and Circular Queues in computer science. Learn how these data structures work, their advantages, and when to use them. Dive into a comprehensive comparison to enhance your understanding of queue implementations in programming. Discover the optimal scenarios for each queue type, helping you make informed decisions in your coding projects. Boost your programming knowledge with our detailed guide on Linear vs Circular Queues today!

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Linear Queue:

What is a Linear Queue?

A linear queue is a simple queue data structure that follows the First-In-First-Out (FIFO) principle. In a linear queue, elements are added at the rear (enqueue) and removed from the front (dequeue). It resembles a line of people waiting, where the person who arrives first gets served first.

Operations on Linear Queue:

  1. Enqueue (Insertion):

    • Add an element to the rear of the queue.
    def enqueue(queue, item):
        queue.append(item)
    
    
  2. Dequeue (Deletion):

    • Remove an element from the front of the queue.
    def dequeue(queue):
        if not is_empty(queue):
            return queue.pop(0)
        else:
            print("Queue is empty.")
    
    
  3. Front (Peek):

    • Retrieve the element at the front of the queue without removing it.
    def front(queue):
        if not is_empty(queue):
            return queue[0]
        else:
            print("Queue is empty.")
     
  4. isEmpty:

    • Check if the queue is empty.
    def is_empty(queue):
        return len(queue) == 0
     

Circular Queue:

What is a Circular Queue?

A circular queue is an extension of a linear queue with a circular structure. In a circular queue, when the rear reaches the end of the queue, it wraps around to the front, creating a circular arrangement. This allows for efficient use of space and avoids the need to shift elements when the rear reaches the end.

Operations on Circular Queue:

  1. Enqueue (Insertion):

    • Add an element to the rear of the circular queue.
    def enqueue_circular(queue, item, max_size):
        if (queue["rear"] + 1) % max_size != queue["front"]:
            queue["items"][queue["rear"]] = item
            queue["rear"] = (queue["rear"] + 1) % max_size
        else:
            print("Queue is full.")
     
  2. Dequeue (Deletion):

    • Remove an element from the front of the circular queue.
    def dequeue_circular(queue, max_size):
        if queue["front"] != queue["rear"]:
            item = queue["items"][queue["front"]]
            queue["front"] = (queue["front"] + 1) % max_size
            return item
        else:
            print("Queue is empty.")
     
  3. Front (Peek):

    • Retrieve the element at the front of the circular queue without removing it.
    def front_circular(queue):
        if queue["front"] != queue["rear"]:
            return queue["items"][queue["front"]]
        else:
            print("Queue is empty.")
     
  4. isEmpty:

    • Check if the circular queue is empty.
    def is_empty_circular(queue):
        return queue["front"] == queue["rear"]
     

Differences between Linear Queue and Circular Queue:

  1. Space Utilization:

    • Linear Queue may lead to wasted space since, after dequeuing, the space is not reused.
    • Circular Queue optimizes space usage by allowing the rear to wrap around to the front, avoiding wasted space.
  2. Implementation Complexity:

    • Linear Queue is simpler to implement compared to Circular Queue.
    • Circular Queue requires additional logic to handle the circular structure, making it slightly more complex.
  3. Full Queue Condition:

    • In a Linear Queue, the queue is considered full when rear reaches the end.
    • In a Circular Queue, the queue is considered full when (rear + 1) % max_size equals front.
  4. Example Code:

    • Below is a simple example code snippet for both Linear and Circular Queue in Python.
    # Linear Queue
    linear_queue = []
    
    def enqueue(queue, item):
        queue.append(item)
    
    def dequeue(queue):
        if not is_empty(queue):
            return queue.pop(0)
        else:
            print("Queue is empty.")
    
    # Circular Queue
    circular_queue = {"front": 0, "rear": 0, "items": [None] * max_size}
    
    def enqueue_circular(queue, item, max_size):
        if (queue["rear"] + 1) % max_size != queue["front"]:
            queue["items"][queue["rear"]] = item
            queue["rear"] = (queue["rear"] + 1) % max_size
        else:
            print("Queue is full.")
    
    def dequeue_circular(queue, max_size):
        if queue["front"] != queue["rear"]:
            item = queue["items"][queue["front"]]
            queue["front"] = (queue["front"] + 1) % max_size
            return item
        else:
            print("Queue is empty.")
     

    Note: The actual implementation may vary based on specific requirements and use cases. The code provided is a basic illustration.

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FAQs on Linear vs Circular Queue

Q: What is a Linear Queue?

A: 

  • A linear queue is a basic queue data structure where elements are stored in a linear or sequential manner.
  • It follows the First In, First Out (FIFO) principle.

Q: What is a Circular Queue?

A: 

  • A circular queue is an extension of a linear queue with the last element pointing to the first element, creating a circular structure.
  • It overcomes the limitation of a linear queue by efficiently utilizing space.

Q: How is Memory Utilization Different in Linear and Circular Queues?

A: 

  • In a linear queue, if the queue is full and space is available at the beginning, it cannot be utilized.
  • In a circular queue, space is efficiently utilized, and elements wrap around, allowing for better memory usage.

Q: How to Implement a Linear Queue?

A: 

Linear Queue Example (in Python):

class LinearQueue:
    def __init__(self, capacity):
        self.capacity = capacity
        self.queue = [None] * capacity
        self.front = self.rear = -1

    def is_empty(self):
        return self.front == -1

    def is_full(self):
        return (self.rear + 1) % self.capacity == self.front

    def enqueue(self, item):
        if self.is_full():
            print("Queue is full. Cannot enqueue.")
        else:
            if self.is_empty():
                self.front = self.rear = 0
            else:
                self.rear = (self.rear + 1) % self.capacity
            self.queue[self.rear] = item

    def dequeue(self):
        if self.is_empty():
            print("Queue is empty. Cannot dequeue.")
            return None
        else:
            item = self.queue[self.front]
            if self.front == self.rear:
                self.front = self.rear = -1
            else:
                self.front = (self.front + 1) % self.capacity
            return item
```
 

Q: How to Implement a Circular Queue?

A: 

Circular Queue Example (in Python):

class CircularQueue:
    def __init__(self, capacity):
        self.capacity = capacity
        self.queue = [None] * capacity
        self.front = self.rear = -1

    def is_empty(self):
        return self.front == -1

    def is_full(self):
        return (self.rear + 1) % self.capacity == self.front

    def enqueue(self, item):
        if self.is_full():
            print("Queue is full. Cannot enqueue.")
        else:
            if self.is_empty():
                self.front = self.rear = 0
            else:
                self.rear = (self.rear + 1) % self.capacity
            self.queue[self.rear] = item

    def dequeue(self):
        if self.is_empty():
            print("Queue is empty. Cannot dequeue.")
            return None
        else:
            item = self.queue[self.front]
            if self.front == self.rear:
                self.front = self.rear = -1
            else:
                self.front = (self.front + 1) % self.capacity
            return item
```
 

Q: When to Use Linear Queue vs Circular Queue?

A: 

  • Use a linear queue when you have a fixed size and don't need to reuse space at the beginning when elements are dequeued.
  • Use a circular queue when efficient memory utilization is required, and you want to reuse space as elements are dequeued.

Q: How to Handle Overflow and Underflow in Circular Queue?

A: 

  • Overflow occurs when trying to enqueue into a full circular queue.
  • Underflow occurs when trying to dequeue from an empty circular queue.
  • Both situations can be handled by appropriate checks and error messages, as shown in the example codes.

Q: Can the Size of Linear and Circular Queues be Dynamically Altered?

A: 

  • The size of a linear queue is usually fixed once it is created.
  • The size of a circular queue can be dynamically altered if a dynamic data structure like a linked list is used to implement it.

Important Interview Questions and Answers on Linear vs Circular Queue

Q: What is a Linear Queue?

A linear queue is a data structure in which elements are added at one end, called the rear, and removed from the other end, called the front. It follows the First In First Out (FIFO) principle.

Q: Explain the operations in a Linear Queue.

The main operations are:

  • Enqueue: Adds an element to the rear of the queue.
  • Dequeue: Removes an element from the front of the queue.
  • Front: Returns the front element without removing it.
  • Rear: Returns the rear element without removing it.

Q: Write a Python code for a Linear Queue.

Here is the code.

class LinearQueue:
    def __init__(self):
        self.queue = []

    def enqueue(self, item):
        self.queue.append(item)

    def dequeue(self):
        if not self.is_empty():
            return self.queue.pop(0)
        else:
            return None

    def front(self):
        return self.queue[0] if not self.is_empty() else None

    def rear(self):
        return self.queue[-1] if not self.is_empty() else None

    def is_empty(self):
        return len(self.queue) == 0

    def size(self):
        return len(self.queue)
 

Q:  What is a Circular Queue?

A circular queue is a variation of a linear queue in which the rear points to the front, forming a circle. This avoids wasting space and allows efficient utilization of memory.

Q: Explain the advantage of using a Circular Queue.

Circular Queue avoids the shifting of elements that occurs in a linear queue when the front element is dequeued, making it more efficient in terms of memory and operations.

Q: Write a Python code for a Circular Queue.

Here is the code.

class CircularQueue:
    def __init__(self, capacity):
        self.queue = [None] * capacity
        self.front = self.rear = -1
        self.capacity = capacity

    def enqueue(self, item):
        if (self.rear + 1) % self.capacity == self.front:
            print("Queue is full. Cannot enqueue.")
        elif self.is_empty():
            self.front = self.rear = 0
            self.queue[self.rear] = item
        else:
            self.rear = (self.rear + 1) % self.capacity
            self.queue[self.rear] = item

    def dequeue(self):
        if self.is_empty():
            print("Queue is empty. Cannot dequeue.")
            return None
        elif self.front == self.rear:
            item = self.queue[self.front]
            self.front = self.rear = -1
            return item
        else:
            item = self.queue[self.front]
            self.front = (self.front + 1) % self.capacity
            return item

    def front(self):
        return self.queue[self.front] if not self.is_empty() else None

    def rear(self):
        return self.queue[self.rear] if not self.is_empty() else None

    def is_empty(self):
        return self.front == self.rear == -1

    def is_full(self):
        return (self.rear + 1) % self.capacity == self.front

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