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In order to explain the empirical evidence that the dynamics of humanactivity may not be well modeled by Poisson processes, a model based on queuingprocesses were built in the literature \cite{bar05}. The main assumption behindthat model is that people execute their tasks based on a protocol that executefirstly the high priority item. In this context, the purpose of this letter isto analyze the validity of that hypothesis assuming that people are rationalagents that make their decisions in order minimize the cost of keepingnon-executed tasks on the list. Therefore, we build and solve analytically adynamic programming model with two priority types of tasks and show that thevalidity of this hypothesis depends strongly on the structure of theinstantaneous costs that a person has to face if a given task is kept on thelist for more than one step. Moreover, one interesting finding is that in oneof the situations the protocol used to execute the tasks generates complex onedimensional dynamics.

The role of optimization in the human dynamics of tasks execution