A NEW PROPOSED APPROACH FOR SOLVING THE COMBINED ORDER DESIGN PROBLEM | ||||
ERJ. Engineering Research Journal | ||||
Article 7, Volume 28, Issue 3, July 2005, Page 285-292 PDF (334.64 K) | ||||
Document Type: Original Article | ||||
DOI: 10.21608/erjm.2005.69971 | ||||
View on SCiNiTO | ||||
Author | ||||
Abo El Hassan Rahil | ||||
Civil Eng. Dep., Facultiy of Eng., Minufiya Universitiy, Egypt | ||||
Abstract | ||||
The optimization of geodetic networks may be classified into five orders (Kuang, 1996), namely: the zero-order design problem (ZOD), which is the design of the optimal reference system (datum); the first-order design problem (FOD), which aims to optimize the configuration of the network (that is the point locations and the types of observed quantities and its distribution all over the network); the second-order design problem (SOD), which aims to find the optimal weights of the observations; the combined-order design problem (COMD), where both the first-and secondorder design problems have to be optimally solved simultaneously; and finally the third-order design problem (THOD), which is the improvement of an existing design, by densifying or extending the existing networks, by additional points andlor observations (Grafarend and Schaffrin, 1979). The COMD problem is classified, according to the present study, into three types: trial and error approach, analytical approach and semi-analytical approach (Doma (2004)). The main objective of this paper is to introduce a new suggested approach for solving the combined order design (COMD) problem. Also, the discussion for solving the COMD problem is given. Three computer programs for the computation of the criterion matrix, solving the second-order design (SOD) problem and solving the combined-order design (COMD) problem are developed. The obtained results will be presented in order to illustrate the application and the feasibility of the suggested approach. | ||||
Keywords | ||||
Optimization; combined order design (COMD) problem; Criterion matrix; semianalytical approach | ||||
Statistics Article View: 76 PDF Download: 121 |
||||