This article deals with incorporating the mean absolute
deviation objective function in several robust single facility
location models on networks with dynamic evolution
of node weights, which are modeled by means of linear
functions of a parameter. Specifically, we have considered
two robustness criteria applied to the mean absolute
deviation problem: the MinMax criterion, and the MinMax
regret criterion. For solving the corresponding optimization
problems, exact algorithms have been proposed and
their complexities have been also analyzed.Ministerio de Ciencia e Innovación MTM2007-67433-C02-(01,02)Ministerio de Ciencia e Innovación MTM2009-14243Ministerio de Ciencia e Innovación MTM2010-19576-C02-(01,02)Ministerio de Ciencia e Innovación DE2009-0057Junta de Andalucía P09-TEP-5022Junta de Andalucía FQM-584