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Would it be possible to implement events that occur in a specific order in a linear model? I would like to create a model where there are several activities in this order with a clear time constraint:

  1. Intake - 60 minutes
  2. Write intake transcript - 60 minutes
  3. Create project proposal - 30 minutes
  4. Discuss project proposal - 30 minutes
  5. Discuss project results - 30 minutes

However, I only find linear programming examples with capacity constraints et cetera, but there is no information about creating a schedule where events need to take place in a specific order. Could you help me with writing such a model for 5 employees that work with a schedule that is 6 weeks ahead?. Or could you provide me with a direction to look into?

Kind regards,

Tom

OperationsAnalysisStudent
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1 Answers1

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There are countless models with precedence constraints. Basically they all have the form:

   Completion time of job A <= Start time of job B

The exact formulation depends on the details. A continuous time model will be different than a model with time slots.

Erwin Kalvelagen
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