We introduce a new model for pipeline transportation of petroleum products with no due
dates. We use a directed graph G with n nodes, where arcs represent pipes and nodes
represent locations. We also define a set L of r transportation orders and a subset F⊂ L of
further orders. A feasible solution to our model is a pumping sequence that delivers the
products corresponding to all orders in LF We prove that the problem of finding such a
solution is NP-hard, even if G is acyclic. For the special case where the products …

Pipeline transportation as a mode is crucial for the distribution of petroleum products in
Nigeria. The mode has contributed immensely to the movement of crude oil and refined
products across the country and for export. The contribution of this mode is, however, under
threat from natural ruptures, vandalization, and sub-optimal usage of pipelines. The
constraints of other modes in the haulage of refined products over long distances provide a
great challenge and opportunity for the pipeline mode to explore. For the pipeline mode to …