Design a Task Scheduler with Priority and Dependencies

Last updated: February 21, 2025

Quick Overview

Implement a task scheduler that executes tasks respecting both priority levels and dependency constraints between tasks.

Rivian
Coding & Algorithms
Software Engineer
Rivian
February 21, 2025
Software Engineer
Onsite - Coding
Coding & Algorithms
Hard

7

5

4,401 solved


Implement a task scheduler that executes tasks respecting both priority levels and dependency constraints between tasks.

This problem mirrors real Rivian engineering challenges in scheduling vehicle software updates, managing build pipelines, and coordinating ECU initialization sequences. It tests topological sorting combined with priority queue usage.

What the Interviewer Expects
  • Combine topological sort with priority-based scheduling
  • Detect and handle circular dependencies gracefully
  • Implement using appropriate data structures (adjacency list, heap, in-degree map)
  • Return a valid execution order or report that one is impossible
  • Write clean code with clear separation of concerns
Key Topics to Cover
Topological sorting
Priority queues and heaps
Directed acyclic graph processing
Cycle detection
Task scheduling algorithms
How to Approach This
  1. Clarify input constraints and edge cases before writing code.
  2. Walk through your approach verbally and confirm with the interviewer before coding.
  3. Start with a brute force solution, then optimize. Mention time and space complexity.
  4. Test your solution with examples, including edge cases like empty input or duplicates.
  5. Consider common patterns: sliding window, two pointers, hash map, BFS/DFS, dynamic programming.
Possible Follow-up Questions
  • How would you parallelize execution for independent tasks?
  • What if tasks have estimated durations and you want to minimize total completion time?
  • How would you handle dynamic task additions while the scheduler is running?
  • How does this relate to how vehicle ECUs initialize on startup?
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Sample Answer
Problem Analysis

This problem can be analyzed as a directed acyclic graph (DAG) where tasks are represented as nodes and dependencies as directed edges. The challenge requires using topological sorting to determine a ...

Approach
  1. Input Representation: Represent tasks and their dependencies using an adjacency list. Use a dictionary to maintain the in-degree count of each task. Each task has a priority level associated wi...

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