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Q2 Z2,(Q2) Z2(Q2) - Institute for Water Resources - U.S. Army

Q2 Z2,(Q2) Z2(Q2) - Institute for Water Resources - U.S. Army

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CHAPTER III<br />

A STATISTICAL PRODUCTION FUNCTION<br />

FOR INLAND WATERWAY TOWBOATS<br />

A firm producing transportation on inland waterways must make<br />

optimizing decisions similar to those made by any transportation firm.<br />

Freight is offered at various points along the waterway <strong>for</strong> transpor-<br />

tation to other points. The firm must determine what equipment Is to<br />

be used in a movement and the way in which the service is to be per-<br />

<strong>for</strong>med. In particular, the firm must allocate barges to haul the<br />

freight, it must decide how deeply to load the barges, how many barges<br />

to include in a tow, what size towboat to use in pushing the tow and<br />

when to schedule the movement. -<br />

,<br />

Two types of exogenous factors influence the firm's decisions.<br />

One type is under no one's control (<strong>for</strong> example, weather conditions).<br />

The second type is under the control of the U. S. <strong>Army</strong> Corps of Engi-<br />

neers (such as, waterway characteristics, including depth and width,<br />

distance between locks and amount of traffic on the waterway). In<br />

order to make waterway transportation efficient, the Corps of Engineers<br />

must adjust public investment in waterways in accordance with the de-<br />

mand <strong>for</strong> waterway transportation, the equipment and operating decisions<br />

of carriers and dxogenous factors. ,<br />

The resistance of a flotilla of barges increases as the draft and<br />

breadth of the flotilla increase and decreases as the depth and width of<br />

37<br />

,

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