Job Sequencing with Deadlines: FIFO & LC Branch and Bound (Step-by-Step)
Learn how to solve the Job Sequencing with Deadlines problem using two different Branch and Bound approaches: FIFO (First-In-First-Out) and LC (Least Cost).
In this Design and Analysis of Algorithms (DAA) tutorial, we walk through a complete step-by-step example with 4 jobs, explaining how to calculate penalties, deadlines, and processing times. We also dive deep into state-space trees, calculating the Upper Bound (U) and Estimated Cost (C^), and identifying answer nodes.
What you will learn in this video:
Definition of the Job Sequencing with Deadlines problem.
The difference between FIFO Branch and Bound and LC Branch and Bound.
How to construct and prune a State Space Tree.
Determining the minimum penalty for an optimal solution.
Timestamps:
[00:00] - Introduction to Job Sequencing with Deadlines
[00:55] - 4-Job Example Problem Details
[02:00] - FIFO Branch and Bound Approach Explained
[02:12] - Understanding Upper Bound (U) and Cost Estimate (C^)
[03:15] - Constructing the State Space Tree (FIFO)
[21:44] - Least Cost (LC) Branch and Bound Approach
[29:13] - Final Optimal Solution Summary
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