A detail in the vertical highway alignment problem. A pair of constraints were intentionally left out of the formulation of this problem. The constraints were described verbally but were not written in mathematics. Specifically, the highway segement under plan has to be “feathered” into the two proor segments that were already built to needed specifications. That is, at each of the two points of attachment to previously built portions of the highway, the slope of the segment under plan as well as the highway elevation have to match the slope and elevation of the highway portion to which it is attaching, Write these two pairs of constraints. The slope at zero distance is s0 and at the end of the segment, sE. The elevation at zero distance is y0 and at the end of the segment yE.
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