Optimum ship routing by the method of steepest ascent.
Gregor, Richard Allen
Bleick, William E.
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With the advent of the high speed digital computer, many problems heretofore considered unsolvable for all practical purposes are now well within the reach of the applied mathematician. One such problem is the routing of a shin through a time dependent ocean wave field, from one point on the earth's surface to another, so as to minimize a cost function of the form g(x,y,t,u). This paper considers a numerical solution to the above problem. The technique to be employed is known as the method of steepest ascent and is attributed to Arthur E. Bryson and Walter F. Denham . Although the computer program as given in the Appendix is written specifically for a VC2AP3 class vessel operating in a described area of the North Pacific Ocean, it can be readily modified to accommodate any type vessel operating in the Northern Hemisphere.
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