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The proposed model allows to consider multiple intermediate due dates for product demands, simultaneous injections, simultaneous input/output operations at dual-purpose terminals, and variable pump rates. It is suitable for single-level tree-structured systems, in which all branches appear at different points of the mainline. One Direction lyrics - 110 song lyrics sorted by album, including 'What Makes You Beautiful', 'Night Changes', 'Story Of My Life'. In this paper, we present a discrete-time mixed-integer linear programming model that can find the aggregate scheduling of pipelines with multiple refineries and depots. Discrete-time models, however, have not been explored to their full potential in the literature for complex pipeline networks. Most of the previous contributions rely on a continuous-time approach whose solution CPU time rapidly explodes when dealing with rather long time horizons.
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