I have an existing given schedule for a hospital department.  I use supervised learning from historical data to predict the reservation durations providing determined process times.  A requirement is not to change the original schedule 'too much'.  So I will include a cost in respect to time for distance from the original schedule.  I believe a local search approach (Tabu, SA, GA) will work well, where I always start from the original schedule.  Are there any other algorithms or approaches that may better suit this problem?

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