An addition of spatial dimension to a linear-programming model of U.S. petroleum refining constructed by A. S. Manne. Refining technology in each of four U.S. regions (Gulf, Midwest, East, West) is described by a 39-row matrix obtained from Mann's 105-row matrix by aggregation procedures. Other rows and columns of the spatial-model matrix deal with shipment of commodities between regions by pipeline, tanker, barge, and tank-car and with transport within each region. The final spatial model has 195 rows, 1555 columns. One computational result has been obtained, that of maximum amounts of the 1952-53 mix of regionally located end-items for successively lower availabilities of tankers.
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