Why does Błażewicz focus on NP-hardness?
The identification of NP-hardness is crucial because it signifies that for many practical scheduling problems, finding a guaranteed optimal solution in polynomial time is highly unlikely, if not impossible. This insight directs our research towards more practical objectives: developing algorithms that provide good quality solutions in an acceptable amount of time. It pushes us to explore approximation algorithms, heuristics, and methods that exploit specific problem structures to achieve effective, though not always globally optimal, results.
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