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. The task is to reroute optical connections that go through the broken link using free capacity of other links of the network. Nowadays%2C dynamic restoration gains popularity%2C in which the possiblity of rerouting is only inspected after a link failure is detected. Since the problem of recovery is NP-hard%2C heuristic algorithms are used to either find such routes%2C or suggest that the routes do not exist. In order to understand the quality of these heuristics%2C often mixed integer linear programming is used to obtain exact positive and negative answers. We present a detailed such model that checks whether restoration is possible without the use of additional regenerators. This means%2C that the new light paths need to satisfy a length constraint. As preprossing we apply a trimming procedure that takes advantage of this length constraint%2C and significantly speeds up the evaluation of these models. Our model is more general%2C and besides solving the problem of link restoration%2C also solves the full problem of wavelength and spectrum assignment.?quality=80&w=800)
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