Title: Mathematical modelling and solution of pipeline laying problem

Authors: Na Wang; Qingzheng Xu; Yufeng Zhang

Addresses: Department of Basic Courses, Xi'an Communication Institute, No. 8 East Zhangba Road, Xi'an, Shaanxi, China. ' Department of Military Electronic Engineering, Xi'an Communication Institute, No. 8 East Zhangba Road, Xi'an, Shaanxi, China. ' Department of Training, Xi'an Communication Institute, No. 8 East Zhangba Road, Xi'an, Shaanxi, China

Abstract: Developing a general approach to the pipeline laying problem with constraints has both theoretical and practical value. Considering the unit expense of oil pipeline, economic difference for different areas, and qualification and charge of different manufacturers, the mathematical model with the lowest total cost is established. Based on the basic principle for calculating the extremum of multivariate function and the method of undetermined coefficients, a general mathematical method is proposed and the analytical solution to the pipeline laying problem is given in this paper. The results of theoretical calculation and simulation experiments show clearly that the general approach proposed in this paper is effective, especially for engineering design purposes.

Keywords: pipeline laying; stagnation point; mathematical modelling; analytical solutions; differential evolution; oil pipelines; simulation; engineering design.

DOI: 10.1504/IJSPM.2012.047861

International Journal of Simulation and Process Modelling, 2012 Vol.7 No.1/2, pp.16 - 22

Published online: 15 Nov 2014 *

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