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Azurecloud~5 mins

Event Grid for event routing in Azure - Time & Space Complexity

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Time Complexity: Event Grid for event routing
O(n)
Understanding Time Complexity

We want to understand how the time to route events grows as more events are sent through Azure Event Grid.

Specifically, how does the number of events affect the work Event Grid does to deliver them?

Scenario Under Consideration

Analyze the time complexity of the following event routing sequence.


// Create Event Grid topic
az eventgrid topic create --name mytopic --resource-group mygroup --location eastus

// Send multiple events to the topic
az eventgrid event publish --topic-name mytopic --resource-group mygroup --events '[{"id":"1","eventType":"recordCreated","subject":"/records/1","data":{"value":100},"eventTime":"2024-01-01T00:00:00Z","dataVersion":"1.0"}]'

// Event Grid routes events to subscribers
// Subscribers receive events asynchronously

This sequence creates a topic, sends events, and Event Grid routes them to subscribers.

Identify Repeating Operations

Identify the API calls, resource provisioning, data transfers that repeat.

  • Primary operation: Sending each event to the Event Grid topic.
  • How many times: Once per event sent by the user or system.
  • Routing operation: Event Grid delivers each event to all matching subscribers.
  • How many times: Once per event per subscriber.
How Execution Grows With Input

As the number of events increases, the number of send operations grows directly with it.

Input Size (n)Approx. Api Calls/Operations
1010 sends, 10 routing deliveries per subscriber
100100 sends, 100 routing deliveries per subscriber
10001000 sends, 1000 routing deliveries per subscriber

Pattern observation: The work grows linearly with the number of events sent.

Final Time Complexity

Time Complexity: O(n)

This means the time to route events grows directly in proportion to the number of events sent.

Common Mistake

[X] Wrong: "Event Grid routes all events instantly regardless of how many are sent."

[OK] Correct: Each event must be processed and delivered, so more events mean more work and time.

Interview Connect

Understanding how event routing scales helps you design systems that handle growth smoothly and avoid surprises.

Self-Check

"What if we added more subscribers to the Event Grid topic? How would the time complexity change?"