I have just come across the topic of 'Rolling Horizon' in my literature research and would now like to apply it myself, but unfortunately I don't know where to start. This is my model, which is supposed to work with a rolling approach.

\begin{align} &\min \sum_{t,s}^{}slack_{t,s}\\ &\sum_{s}^{}work_{j,t,s}+slack_{t,s}=demand_{t,s}\quad \forall j,t\\ &\sum_{l=t}^{t+5}\sum_{s}^{}work_{j,l,s}\le 5\quad \forall j,t\\ &\sum_{s}^{}work_{j,t,s}\le 1\quad \forall j,t \end{align}

How exactly do I need to extend/modify the model so that I can implement and run such an approach? Is there any good literature where I can read up further on the subject?

  • 2
    $\begingroup$ The first reply on this thread may help: or.stackexchange.com/questions/7714/… $\endgroup$
    – Mostafa
    Jan 15 at 12:53
  • $\begingroup$ BTW, what is the reason you want to use this approach? Do you have some stochastic parameters? Or solving over a long horizon is required but intractable? $\endgroup$
    – Mostafa
    Jan 15 at 12:57
  • $\begingroup$ The reasoning behind the implementation is the unsolvability. $\endgroup$
    – lukdooxb1
    Jan 15 at 13:42


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