V. I. Struchenkov, A. N. Kozlov and A. S. Yegunov, “Piecewise—Linear Approximation of Planar Curves under Constraints,” Information Technology, Vol. 12, No. 172, 2010.
has been cited by the following article:
TITLE: Mathematical Models and Optimization in Line Structure Routing: Survey and Advanced Results
AUTHORS: Valery I. Struchenkov
KEYWORDS: Route; Horizontal and Vertical Alignment; Nonlinear Programming; Objective Function; Reduced Gradient
JOURNAL NAME: International Journal of Communications, Network and System Sciences, Vol.5 No.9A, September 18, 2012
ABSTRACT: Under study is the optimization problem of line structure (primarily railroad) routing. The improved mathematical models and algorithms of vertical alignment by set versions of the route plan are offered. The problem is solved in some stages in interrelation with other design problems. The original algorithm of descent is given for solving the arising problem of nonlinear programming. Structural features of constraints are used and so it is not required to solve any systems of linear equations.