Why should we include a dummy job in the parallel machine while formulating a model?

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Christopher Landauer

there are some well-known anomalies in scheduling, especially with a greedy algorithm, that require a dummy job (to avoid the strict greedy algorithm which is provably not the best in some cases) - see old papers of Ronald Graham (one is called bounds on multiprocessor scheduling anomalies)

Venkata Prasad Palakiti

Dear Christopher,

Many authors used exact algorithms like DP and B&B algorithm also. In that case also they used dummy job.

Can you please explain clearly?