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.. module:: urbs

Mathematical Description

In this Section the mathematical description of a model generated by urbs will be explained. The structure here follows the basic code structure and proceeds as follows:

First, a short introduction into the type of optimization problem solvable with urbs is given. This is followed by the description of the minimal possible model in urbs. As a next step the two main expansions of models, which also increase the index depth of all variables and parameters are discussed in the parts 'Intertemporal modeling' and 'Multinode modeling'. The description is then concluded by the additional description of various feature modules. The latter are discussed in full index depth, i.e., with all features introduced in minimal, intertemporal and multinode modeling.

.. toctree::
   :maxdepth: 2

   theorydoc/intro
   theorydoc/min_prob
   theorydoc/intertemp_prob
   theorydoc/multinode_prob
   theorydoc/storage_prob
   theorydoc/buysell_prob
   theorydoc/DSM_prob
   theorydoc/TVE_prob