## Determination of Optimum Route Connecting Two Locations |

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2CSQ assumed boundary line catenary citl computations connecting two locations connecting two points construction cost contour lines convergent corresponding branches corresponding point cost factor cost function cost per mile defined Definition degree equation determined differential Dm+1 estimation Euler–Lagrange expression F xil flow f flow factor geometrical given Hence illustrated improvement increment intersect iterative procedure l-ll Lagrangian multipliers least cost path least cost route linear linear programming mathematical induction matrix minimized minimum cost path Newton's Method obtain optimization optimum route connecting parameters partial derivatives Pi—l polygons problem Proof of Theorem represents result Section 2-3 segments sequence series xij shown in Figure simplified solution solving stationary point straight line subareas subsection Substituting system of equations Theorem III Theorem VIII transportation costs TRANSPORTATION UNIT COST variable terrain vector