How to find remaining capacity in facility location problem

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MD MORSHEDUL ALAM

2022年07月25日 18:04

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Let say I have 5 demand and 3 facility locations (Actually I have lot of locations). After solving the model, I got optimal assignment. After assigning demand to facility, there will be some left-over capacity in some facilities. How can I find which facility has how much capacity left-over?

Here is the sample problem.

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  Simranjit Kaur

  • Gurobi Staff

  2025年11月16日 23:31

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  Simon Bowly

  • Gurobi Staff

  2022年07月27日 07:44

  You should be able to obtain this from the Slack attribute of the relevant capacity constraints. For inequality constraints, Slack reports the difference between the left- and right-hand sides for the current solution values. For example in Python, for some facility j you might have constraints expressed as:

  capacity_constr[j] = model.addConstr(
      gp.quicksum(x[i,j] for i in demand_locations) <= capacity[j]
  )

  After optimization, you can then use

  capacity_constr[j].Slack

  to report the spare capacity for the given facility.

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  MD MORSHEDUL ALAM

  2022年07月27日 21:36

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  Thank you so much. I got it.

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