This is basically a scheduling optimization problem with a bunch of constraints layered on top of each other.
Start by clarifying the problem scope and assumptions, then decompose it into scheduling and assignment subproblems. Propose a greedy algorithm for order selection based on deadlines and points, and a matching or heuristic approach for worker-step assignment. Discuss trade-offs between optimality and computational complexity, and suggest how to handle dynamic changes.
Pro tip: Demonstrate awareness of real-world constraints by mentioning that perfect optimization may be NP-hard, so a practical solution might combine greedy scheduling with local search or integer programming for smaller instances. Also, emphasize the importance of monitoring and adapting to changes in a production system.
Ask questions to understand the problem fully: Are orders independent? Can workstations handle multiple steps? Are worker proficiencies static? What are the time units? This ensures you address the right problem.
Formalize as an optimization problem: maximize sum of points of completed orders subject to deadlines and resource constraints. Identify it as a variant of job scheduling with sequence-dependent processing times and assignment constraints.
Outline a two-phase approach: first, select orders using a priority rule (e.g., earliest deadline first, highest points per unit time) and schedule them; second, assign workers to steps using a matching algorithm (e.g., Hungarian) or greedy heuristic based on proficiency.
Discuss the computational complexity of the proposed algorithms. If exact optimization is infeasible, suggest approximation algorithms or heuristics, and explain the trade-off between solution quality and runtime.
Mention how to handle dynamic order arrivals, worker availability changes, or system failures. Suggest using a streaming or online algorithm, and possibly machine learning to predict processing times.
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