An Iterative Chebyshev Approximation Method for Network Design

One of the most important problems of computeraided network design is the optimization of network characteristics by iterative calculation. In this paper, the problem of realizing a network whose transmission characteristics approximate a given function in Chebyshev sense is treated as a nonlinear programming problem, and a method of solving this problem by successively solving linear programming problems, which are derived by locally linearizing the original nonlinear programming problem, is proposed. An improvement of the method for reducing the computation time is also considered and is proved to be practical and very effective by many design examples.